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Powered by Question2AnswerAnswered: The age of mrs. Laurel is 9 years more than 3 times her aon's age. Find the age of each if fifteen years from now she will be 6 years more than twice her son's age.
https://www.mathhomeworkanswers.org/241204/laurel-years-times-aons-each-fifteen-years-will-years-twice?show=241210#a241210
<p><em><a rel="nofollow" href="https://www.mathhomeworkanswers.org/241204/laurel-years-times-aons-each-fifteen-years-will-years-twice">The age of mrs. Laurel is 9 years more than 3 times her son's age. Find the age of each if fifteen years from now she will be 6 years more than twice her son's age. </a></em></p>
<p>Let L = mrs Laurel's current age</p>
<p>Let S = the son's current age</p>
<p>L = 3S + 9 (mrs. Laurel is 9 years more than 3 times her son's age</p>
<p><span style="text-decoration: underline;"></span>L + 15 = 2(S + 15) + 6 (fifteen years from now she will be 6 years more than twice her son's age.<span style="text-decoration: underline;"> </span></p>
<p>Substituting for L = 3S + 9 into teh 2nd equation,</p>
<p>3S + 9 + 15 = 2S + 30 + 6</p>
<p>S + 24 = 36</p>
<p><span style="text-decoration: underline;">S = 12</span></p>
<p>L = 3S + 9 = 36 + 9 = <span style="text-decoration: underline;">45</span></p>
<p><span style="text-decoration: underline;"><strong>The ages are: Mum = 45, Son = 12</strong></span></p>Word Problem Answershttps://www.mathhomeworkanswers.org/241204/laurel-years-times-aons-each-fifteen-years-will-years-twice?show=241210#a241210Thu, 27 Apr 2017 16:19:36 +0000Answered: find the value of r in the equation given: 17663.7= 25000 + 15247/(1+r) + 15247/(1+r)^2 + 15247/(1+r)^3 + 15247/(1+r)^4
https://www.mathhomeworkanswers.org/241021/find-value-equation-given-17663-25000-15247-15247-15247-15247?show=241184#a241184
<p style="text-align: justify;">Let A=(17663.7-25000)/15247=-0.4812 approx, and x=1/(1+r), this equation can be written:</p>
<p style="text-align: justify;">A=x+x^2+x^3+x^4=x(1-x^4)/(1-x) using the formula for the sum of terms for a geometric progression. Clearly x≠1 because that would make A=4.</p>
<p style="text-align: justify;">Since A is a negative value, the expression in x must also be negative. When x<-1 or x>0 the expression is positive. Therefore, if there is a solution, it must be when -1<x<0. When x=-0.6058 approx the expression is -0.3264 which is 0.8076 short of A. Since r=1/x-1, r=2.6506 when x=-0.6058. This value of r is the closest to solving the equation, but it does not fulfil the equation because the right-hand side of the original equation is bigger than 25000. The equation has no solution for r.</p>Algebra 1 Answershttps://www.mathhomeworkanswers.org/241021/find-value-equation-given-17663-25000-15247-15247-15247-15247?show=241184#a241184Thu, 27 Apr 2017 08:13:29 +0000Find the total voltage,total capacitor and total storage..given: c1=8f c2=14f c3=18f c4=10f c5=15f v=120
https://www.mathhomeworkanswers.org/241180/find-total-voltage-total-capacitor-total-storage-given-14f
find the total voltage,total capacitor, and total chargeOther Math Topicshttps://www.mathhomeworkanswers.org/241180/find-total-voltage-total-capacitor-total-storage-given-14fThu, 27 Apr 2017 00:52:45 +0000Answered: Which letter has rotational symmetry? Q,H,G,A
https://www.mathhomeworkanswers.org/76329/which-letter-has-rotational-symmetry-q-h-g-a?show=241176#a241176
<p><span style="font-family:georgia,serif"><span style="font-size:20px">Rotational symmetry</span></span></p>
<p> </p>Geometry Answershttps://www.mathhomeworkanswers.org/76329/which-letter-has-rotational-symmetry-q-h-g-a?show=241176#a241176Wed, 26 Apr 2017 23:36:43 +0000Answered: From integers 1 up to 10, how many possible sets of integers are to be made, if each set has six integers? And from 10 up to 15.
https://www.mathhomeworkanswers.org/241129/from-integers-possible-sets-integers-made-each-integers-from?show=241167#a241167
<p>The number of different sets created by 6 integers from a set of 10 is calculated as follows.</p>
<p>Choice of first integer is all 10 integers: 10</p>
<p>Now there are 9 integers left, so there are 10*9=90 sets of 2 integers.</p>
<p>Moving on to the third integer, we have 8 and so on.</p>
<p>Continuing until we have 6 integers: 10*9*8*7*6*5.</p>
<p style="text-align:justify">But in a set the order isn't important, just the combination so we need to divide by the number of arrangements of 6 integers = 6*5*4*3*2*1=720. Therefore the number of sets is 10*9*...*5/(720)=210.</p>
<p style="text-align:justify">There are only six integers between 10 and 15 so only one set of 6 integers is possible.</p>Word Problem Answershttps://www.mathhomeworkanswers.org/241129/from-integers-possible-sets-integers-made-each-integers-from?show=241167#a241167Wed, 26 Apr 2017 19:10:01 +0000Answered: Show that intA = A
https://www.mathhomeworkanswers.org/241133/show-that-inta-a?show=241149#a241149
hhhhhhhhhhhhhhhhhhhhhaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaOther Math Topicshttps://www.mathhomeworkanswers.org/241133/show-that-inta-a?show=241149#a241149Wed, 26 Apr 2017 16:17:33 +0000Answered: 2 + 6+ 10+ 14 + 18 + 22 + 26+ 30+ 34 + 38 = 200 To inme se kisi 5 ko Total kar ke 100 banaao.!
https://www.mathhomeworkanswers.org/93853/10-14-18-22-30-34-38-200-to-inme-se-kisi-ko-total-kar-ke-100-banaao?show=241148#a241148
Average = 200<br />
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So your answer must be 200, right? Look, I'm only in the 7th grade i'm not good at this stuffCalculus Answershttps://www.mathhomeworkanswers.org/93853/10-14-18-22-30-34-38-200-to-inme-se-kisi-ko-total-kar-ke-100-banaao?show=241148#a241148Wed, 26 Apr 2017 16:16:02 +0000Answered: (X-y)dx + (3x + y)dy =0
https://www.mathhomeworkanswers.org/241125/x-y-dx-3x-y-dy-0?show=241139#a241139
<p><em>Solve: (x-y)dx + (3x + y)dy =0</em></p>
<p>Rearranging,</p>
<p>dx/dy = -(3x + y)/(x – y)</p>
<p>dx/dy = -(3v + 1)/(v – 1), where v = x/y ---------------------------------- (1)</p>
<p>Differentiating x = vy wrt y,</p>
<p>dx/dy = v + y.dv/dy ----------------------------------------------------------- (2)</p>
<p>Substituting for dx/dy from (2) into (1),</p>
<p>v + y.dv/dy = -(3v + 1)/(v – 1)</p>
<p>y.dv/dy = -(3v + 1)/(v – 1) – v(v – 1)/(v – 1) = {-3v – 1 – v^2 + v}/(v – 1)</p>
<p>y.dv/dy = {– v^2 – 2v – 1}/(v – 1)</p>
<p>y.dv/dy = (1 + v)^2/(1 – v)</p>
<p>{(1 – v)/(1 + v)^2}.dv = (1/y).dy</p>
<p>Integrating both sides independently,</p>
<p>-ln(1 + v) – 2/(1 + v) = ln(y) + ln(A)</p>
<p>ln(Ay(1 + v)) = -2/(1 + v)</p>
<p>y = B/(1 + v)*exp(-2/(1 + v))</p>
<p>Substituting back in for v = x/y</p>
<p>y = B/(1 + x/y)*exp(-2/(1 + x/y))</p>
<p>1 = B/(x + y)*exp(-2y/(x + y))</p>
<p><strong><span style="text-decoration: underline;">x + y = B*exp(-2y/(x + y))</span></strong></p>
<p>If you differentiate the above expression, and manipulate it, you will be able to get back to the original DE.</p>Other Math Topicshttps://www.mathhomeworkanswers.org/241125/x-y-dx-3x-y-dy-0?show=241139#a241139Wed, 26 Apr 2017 13:16:20 +0000Answered: find the area of a circle of radius 35 cm.if a sector of angle 80° is removed from the circle, what area is left
https://www.mathhomeworkanswers.org/241135/find-area-circle-radius-sector-angle-removed-from-circle-what?show=241138#a241138
<p><em>find the area of a circle of radius 35 cm.if a sector of angle 80° is removed from the circle, what area is left </em></p>
<p>Area of sector, A1 = (1/2).r^2.theta, where theta = 80 degrees = (80/180)*pi radians, giving A1 = pi.r^2(2/9)</p>
<p>Area of circle, A2 = (1/2).r^2.theta, where theta = 2pi, giving A2 = pi.r^2</p>
<p>Area left, A3 = A2 - A1 = pi.r^2 - (2/9)pi.r^2 = (7/9)pi.r^2</p>
<p>Using r = 35 cm,</p>
<p>A3 = (7/9)pi*1225</p>
<p><span style="text-decoration: underline;"><strong>A3 = 952.78.pi cm^2 = 2,993.24 cm^2</strong></span> <span style="text-decoration: underline;"><strong>Area of circle = A2 = 1225.pi cm^2 = 3,848.45 cm^2</strong></span></p>Other Math Topicshttps://www.mathhomeworkanswers.org/241135/find-area-circle-radius-sector-angle-removed-from-circle-what?show=241138#a241138Wed, 26 Apr 2017 11:45:27 +0000Answered: ln×+ln(×-2)=1
https://www.mathhomeworkanswers.org/241134/ln-ln-2-1?show=241137#a241137
<p><em>ln×+ln(×-2)=1 </em></p>
<p>ln{x(x-2)} = 1</p>
<p>ln{x(x-2)} = ln(e)</p>
<p>x(x - 2) = e</p>
<p><span style="text-decoration: underline;">x^2 - 2x - e = 0</span></p>
<p>Now use the quadratic formula, x = (-b +/- sqrt(b^2 - 4ac))/(2a), where a = 1, b = -2, c = -e.</p>
<p>i.e. x = (2 +/- sqrt(4 - 4*1*(-e))) / (2*1)</p>
<p>x = (2 +/- 2*sqrt(1 + e)) / 2</p>
<p><span style="text-decoration: underline;"><strong>x = 1 +/- sqrt(1 + e)</strong></span></p>Other Math Topicshttps://www.mathhomeworkanswers.org/241134/ln-ln-2-1?show=241137#a241137Wed, 26 Apr 2017 11:29:51 +0000Answered: ($1.75+2x$0.25+5x$0.05)x24
https://www.mathhomeworkanswers.org/241123/%241-75-2x%240-25-5x%240-05-x24?show=241136#a241136
<p><em>($1.75+2x$0.25+5x$0.05)x24 </em></p>
<p>BODMAS is a mnemonic for the order of operations and stands for,</p>
<p>B = brackets</p>
<p>O = order or power</p>
<p>DM = division and multiplication</p>
<p>AS = addition and subtraction</p>
<p>B comes before O which comes before DM which comes before AS.</p>
<p>We have a bracket in our expression, so we work out its value first.</p>
<p>($1.75+2x$0.25+5x$0.05)</p>
<p>within the bracket we have two M operations, 2x$0.25 and 5x$0.05, which come to <span style="text-decoration: underline;">$0.50 </span>and <span style="text-decoration: underline;">$0.25.</span></p>
<p>This gives us for the bracket,</p>
<p>($1.75 + $0.50 + $0.25) = <span style="text-decoration: underline;">$2.50</span></p>
<p>Our expression now becomes,</p>
<p>($2.50)*24 = $48.00 + $12.00 = <span style="text-decoration: underline;">$60.00</span></p>
<p><span style="text-decoration: underline;"><strong>Answer: $60.00</strong></span></p>Other Math Topicshttps://www.mathhomeworkanswers.org/241123/%241-75-2x%240-25-5x%240-05-x24?show=241136#a241136Wed, 26 Apr 2017 11:20:35 +0000Aproject proposal on First order ordinary differential equations and its application on radioactive decay and carbon dating
https://www.mathhomeworkanswers.org/241131/aproject-differential-equations-application-radioactive
Show that every topologically equivalent relation is equivalenceOther Math Topicshttps://www.mathhomeworkanswers.org/241131/aproject-differential-equations-application-radioactiveWed, 26 Apr 2017 07:22:06 +0000Answered: given that log 2=0.3010 and log 3 =0.4771. find the value of log 0.075
https://www.mathhomeworkanswers.org/241038/given-that-log-2-0-3010-and-log-3-4771-find-the-value-of-log-0-075?show=241120#a241120
<p style="text-align: justify;">0.075=3/40=3/(10*2^2); log0.075=log3-log10-2log2=0.4771-1-0.6020=-1.1249.</p>Trigonometry Answershttps://www.mathhomeworkanswers.org/241038/given-that-log-2-0-3010-and-log-3-4771-find-the-value-of-log-0-075?show=241120#a241120Tue, 25 Apr 2017 21:46:08 +0000Answered: What is 54÷7
https://www.mathhomeworkanswers.org/241116/what-is-54-7?show=241119#a241119
54=49+5=7*7+5 so 54÷7=7+5/7 or 7 5/7.Other Math Topicshttps://www.mathhomeworkanswers.org/241116/what-is-54-7?show=241119#a241119Tue, 25 Apr 2017 20:18:52 +0000Answered: How to find the slant height of a cone?
https://www.mathhomeworkanswers.org/241112/how-to-find-the-slant-height-of-a-cone?show=241118#a241118
<p style="text-align:justify">The slant length L, the vertical height h, the base radius r are related by Pythagoras: L^2=h^2+r^2. This formula means that, given any two of L, h, r, the third one can be found.</p>
<p style="text-align:justify">Cone volume=πr^2h/3=πr^2√(L^2-r^2)/3. </p>
<p style="text-align:justify"><img alt="" src="https://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=17183079208042715311" style="height:393px; width:400px"></p>
<p style="text-align:justify">The picture shows a major sector of a circle that forms the surface area of a cone. The radius of the circle is the slant length L. The cone is formed by joining the arms of the sector. The arc of the sector forms the circular base of the cone, so the arc length is 2πr. The minor sector has an arc length s. Its area is represnted by A. The ratio of the minor sector area to the area of the large circle is the same as the ratio of the sector angle <span style="font-size:12pt">β</span> to 2π:</p>
<p style="text-align:justify">A/(πL^2)=<span style="font-size:16px">β</span>/2π from which A=<span style="font-size:16px">β</span>L^2/2. But s=L<span style="font-size:16px">β</span>=2π(L-r), from which <span style="font-size:16px">β</span>=2π(L-r)/L. Therefore A=2π(L-r)/L.L^2/2=πL(L-r). The surface area of the cone itself is πL^2-A=πL^2-πL^2+πLr=πLr. However, this excludes the area of the base which is πr^2 and the total surface area is πLr+πr^2=πr(L+r).</p>
<p style="text-align:justify">These formulae show how the slant length comes into calculations of volume and surface area of a cone.</p>Geometry Answershttps://www.mathhomeworkanswers.org/241112/how-to-find-the-slant-height-of-a-cone?show=241118#a241118Tue, 25 Apr 2017 19:45:21 +0000Answered: cari nilai k
https://www.mathhomeworkanswers.org/78149/cari-nilai-k?show=241117#a241117
<p><img alt="" src="https://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=8169843138717760554" style="height:427px; width:400px"></p>
<p>Areas: QSUT-(QSP+PUR+QRT)=PQR=10</p>
<p>5(1-k)-(½-k/2+4-5/2-5k/2)=3-2k=10, 2k=-7, k=-7/2.</p>Geometry Answershttps://www.mathhomeworkanswers.org/78149/cari-nilai-k?show=241117#a241117Tue, 25 Apr 2017 19:18:24 +0000Answered: ratio of 5:4:3:2:1. what is the amount value that is divided
https://www.mathhomeworkanswers.org/224985/ratio-of-5-4-3-2-1-what-is-the-amount-value-that-is-divided?show=241115#a241115
im sorry but how am i supposed to know this stuff? seriously, im only in 7th gradeWord Problem Answershttps://www.mathhomeworkanswers.org/224985/ratio-of-5-4-3-2-1-what-is-the-amount-value-that-is-divided?show=241115#a241115Tue, 25 Apr 2017 18:20:15 +0000Answered: Find a polynomial that fits the points (2,3),(-1,5),(0,1)(1,4) and (2,10)
https://www.mathhomeworkanswers.org/241081/find-a-polynomial-that-fits-the-points-2-3-1-5-0-1-1-4-and-2-10?show=241114#a241114
sorry i am only in 7th grade i don't know this stuffAlgebra 1 Answershttps://www.mathhomeworkanswers.org/241081/find-a-polynomial-that-fits-the-points-2-3-1-5-0-1-1-4-and-2-10?show=241114#a241114Tue, 25 Apr 2017 18:11:31 +0000Answered: Give three examples of direct and inverse proportion from your daily life
https://www.mathhomeworkanswers.org/241099/three-examples-direct-inverse-proportion-from-your-daily-life?show=241102#a241102
<p>DIRECT PROPORTION</p>
<ol>
<li>2 packets of candies cost $1. 5 packets cost 5/2=$2.50.</li>
<li style="text-align: justify;">A map of a town has a scale of 1cm = 50m. Two locations on the map are 2.5cm apart. The actual distance between them is 125m. 2.5*50=125.</li>
<li style="text-align: justify;">It takes me 20 minutes to walk to school 1 mile away. The shopping mall is 2.5 miles away. It takes me 50 minutes to walk to the mall. 2.5*20=50.</li>
</ol>
<p style="text-align: justify;">INVERSE PROPORTION</p>
<ol>
<li style="text-align: justify;">My school is 3 miles away. It takes me an hour to walk there. If my mom drives me to school and her average speed is 30 miles per hour, it only takes 6 minutes. The time is inversely proportional to the speed.</li>
<li style="text-align: justify;">It takes 2 boys 5 days to build a tree house. It takes one boy 10 days to build the same tree house. The building time is inversely proportional to the number of boys involved in building.</li>
<li style="text-align: justify;">I can buy 6 boxes of the same candies in shop A for the same price as 5 boxes in shop B. The unit price is inversely proportional to the number of boxes I can buy.</li>
</ol>Other Math Topicshttps://www.mathhomeworkanswers.org/241099/three-examples-direct-inverse-proportion-from-your-daily-life?show=241102#a241102Tue, 25 Apr 2017 16:25:26 +0000Answered: Aina membina sebuah model kubus daripada kad Manila .Jika is padu kubus yang dibina it ialah (2+3p)³cm³,Cari jumlah luas permukaan kubus it dalam sebutan p
https://www.mathhomeworkanswers.org/241095/membina-sebuah-daripada-manila-dibina-jumlah-permukaan-sebutan?show=241101#a241101
<p>a^3=(2+3p)^3, a=2+3p.</p>
<p>Surface area=6a^2=6(2+3p)^2.</p>
<p><img alt="" src="https://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=2188119078064238202" style="height:260px; width:400px"></p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/241095/membina-sebuah-daripada-manila-dibina-jumlah-permukaan-sebutan?show=241101#a241101Tue, 25 Apr 2017 15:36:55 +0000Answered: of standad
https://www.mathhomeworkanswers.org/241077/of-standad?show=241096#a241096
<p style="text-align: justify;">Antiderivatives are just the reverse of derivatives or differentials. Typically, since d(x^n)=nx^(n-1). The antiderivative of nx^(n-1) is therefore x^n. Or, to put it another way, the antiderivative of x^n is (x^(n+1))/(n+1).</p>
<p style="text-align: justify;">The derivative of sin x is cos x, and the derivative of cos x is -sin x; so the antiderivative of cos x is sin x and of sin x is -cos x. There are many more examples in trigonometry. Methods of finding the antiderivates of trig functions also tend to utilise trig identities.</p>
<p style="text-align: justify;">Antiderivatives are part of the integration process.</p>Other Math Topicshttps://www.mathhomeworkanswers.org/241077/of-standad?show=241096#a241096Tue, 25 Apr 2017 14:25:23 +0000Answered: find expressions in terms of x
https://www.mathhomeworkanswers.org/241079/find-expressions-in-terms-of-x?show=241094#a241094
<p style="text-align: justify;">i) TS=PR=x+150
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ii) length of fencing = 500 = QR+RS+TS+PT. RS=PT, the width of the pen.
<br>
<br>
So 500=x+2RS+x+150. Therefore 2x+2RS=350, x+RS=175 and RS=175-x.
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iii) area=length x width=(x+150)(175-x)=26250+25x-x^2.
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iv) we can write the area in a different way: 26250-(x^2-25x)=26250+12.5^2-(x^2-25x+12.5^2).
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So we get area=26250+12.5^2-(x-12.5)^2; 26406.25-(x-12.5)^2.
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The maximum value of the area is 26406.25 sq m when x=12.5m. This is the stationary value. Any other value of x will reduce the area from 26406.25 sq m.
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v) 26406.25 sq m is the maximum area, = 162.5^2, length=width, a perfect square.</p>Geometry Answershttps://www.mathhomeworkanswers.org/241079/find-expressions-in-terms-of-x?show=241094#a241094Tue, 25 Apr 2017 14:01:16 +0000Answered: What is 10% of 18.3 kt
https://www.mathhomeworkanswers.org/241076/what-is-10%25-of-18-3-kt?show=241092#a241092
<p><em>What is 10% of 18.3 katrillion</em></p>
<p>10% is a tenth, so <span style="text-decoration: underline;"><strong>answer is 1.83 katrillion</strong></span></p>Other Math Topicshttps://www.mathhomeworkanswers.org/241076/what-is-10%25-of-18-3-kt?show=241092#a241092Tue, 25 Apr 2017 13:31:28 +0000Answered: how to simplify (((2-x)^(1/2))-1)/(x-1)
https://www.mathhomeworkanswers.org/241078/how-to-simplify-2-x-1-2-1-x-1?show=241091#a241091
<p><em>how to simplify (((2-x)^(1/2))-1)/(x-1) </em></p>
<p>Let the expression be (a - 1)/(x - 1), where a = sqrt(2 - x), so <span style="text-decoration: underline;">a^2 = 2 - x</span></p>
<p>Now multiply the expression, top and bottom, by (a + 1), to give</p>
<p>{(a - 1)(a + 1)} / {(x - 1)(a + 1)}</p>
<p>{(a^2 - 1)} / {(x - 1)(a + 1)</p>
<p>{2 - x - 1} / {(x - 1)(a + 1)}</p>
<p>{1 - x} / {(x - 1)(a + 1)}</p>
<p>(-1) / (a + 1)</p>
<p><span style="text-decoration: underline;"><strong>(-1) / (sqrt(2 - x) + 1)</strong></span></p>Other Math Topicshttps://www.mathhomeworkanswers.org/241078/how-to-simplify-2-x-1-2-1-x-1?show=241091#a241091Tue, 25 Apr 2017 13:29:34 +0000Answered: What are the integers?
https://www.mathhomeworkanswers.org/241075/what-are-the-integers?show=241090#a241090
<p><em>The greatest of four consecutive even integer is 14 less than twice the smallest integer. What are the integers?</em></p>
<p>Let teh four consectutive even integers be,</p>
<p>I1 = 2n, I2 = 2n + 2, I3 = 2n + 4, I4 = 2n + 6</p>
<p>We have, <em>The greatest is 14 less than twice the smallest</em></p>
<p>i.e. I4 = 2*I1 - 14</p>
<p>So, 2n + 6 = 2(2n) - 14</p>
<p>2n = 4n - 20</p>
<p>20 = 2n</p>
<p><span style="text-decoration: underline;">n = 10</span></p>
<p><span style="text-decoration: underline;"><strong>The numbers are: I1 = 20, I2 = 22, I3 = 24, I4 = 26</strong></span></p>Word Problem Answershttps://www.mathhomeworkanswers.org/241075/what-are-the-integers?show=241090#a241090Tue, 25 Apr 2017 13:16:55 +0000Answered: find the value of k such that the lines whose equations are 3x+5ky=7 and 9kx+8y=15 are parallel.
https://www.mathhomeworkanswers.org/241033/find-value-such-that-lines-whose-equations-and-9kx-parallel?show=241089#a241089
<p style="text-align: justify;">The slopes of two parallel lines are the same. To find the slope we ignore the constant term first.</p>
<p style="text-align: justify;">3x+5ky=0 and 9kx+8y=0. Next we divide the x coefficient by the y coefficient and equate them for the two lines: 3/5k=9k/8. Cross-multiply to solve for k: 24=45k^2. So k^2=24/45=8/15 and k=√(8/15)=2√30/15=0.7303. But k can also be -2√30/15.</p>
<p style="text-align: justify;">[If we substitute for k in the two linear equations we get 3x+2y√30/3=7 and 6x√30/5+8y=15.</p>
<p style="text-align: justify;">Or we get 3x-2y√30/3=7 and -6x√30/5+8y=15.]</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/241033/find-value-such-that-lines-whose-equations-and-9kx-parallel?show=241089#a241089Tue, 25 Apr 2017 13:12:55 +0000Answered: What is the ratio of 517218015 and 819500000
https://www.mathhomeworkanswers.org/241020/what-is-the-ratio-of-517218015-and-819500000?show=241087#a241087
819500000/517218015=1.5825 approx. So the ratio of small to large is 1:1.5825Other Math Topicshttps://www.mathhomeworkanswers.org/241020/what-is-the-ratio-of-517218015-and-819500000?show=241087#a241087Tue, 25 Apr 2017 12:56:32 +0000Answered: If 4/5 of a number is 36, what is the whole
https://www.mathhomeworkanswers.org/241022/if-4-5-of-a-number-is-36-what-is-the-whole?show=241083#a241083
Answer is 5/4*36=45Word Problem Answershttps://www.mathhomeworkanswers.org/241022/if-4-5-of-a-number-is-36-what-is-the-whole?show=241083#a241083Tue, 25 Apr 2017 08:13:21 +0000Answered: prove 1/(sec(theta)-1)-1/(sec(theta)+1)=2cot^2(theta)
https://www.mathhomeworkanswers.org/241032/prove-1-sec-theta-1-1-sec-theta-1-2cot-2-theta?show=241066#a241066
<p><em>prove 1/(sec(theta)-1)-1/(sec(theta)+1)=2cot^2(theta) </em></p>
<p>lhs = 1/(sec(t)-1) - 1/(sec(t)+1)</p>
<p>lhs = (sec(t) + 1)/(sec^2(t) - 1) - (sec(t) - 1)/(sec^2(t) - 1)</p>
<p>lhs = {(sec(t) + 1) - (sec(t) - 1)} / (sec^2(t) - 1)</p>
<p>lhs = {2} / (sec^2(t) - 1)</p>
<p>lhs = {2} / (tan^2(t))</p>
<p><span style="text-decoration: underline;"><strong>lhs = 2.cot^2(t) = rhs</strong></span></p>Trigonometry Answershttps://www.mathhomeworkanswers.org/241032/prove-1-sec-theta-1-1-sec-theta-1-2cot-2-theta?show=241066#a241066Mon, 24 Apr 2017 21:31:04 +0000Answered: From integers 1 up to 42, how many possible sets of integer are to be made if each set has six integers.
https://www.mathhomeworkanswers.org/241034/from-integers-many-possible-sets-integer-made-each-integers?show=241061#a241061
<p>The number of combinations of 6 digits out of 42 is 5245786.</p>
<p style="text-align: justify;">This is 42*41*40*39*38*37/(6*5*4*3*2*1) because there are 42 ways of selecting the first integer; having selected the first integer, there are now 41 choices for the second; then 40 for the third and so on. Once the integers have been there are 6!=6*5*5*4*3*2*1 way of arranging them. We are only interested in the set so we need to reduce the number by the ways they can be arranged.</p>Word Problem Answershttps://www.mathhomeworkanswers.org/241034/from-integers-many-possible-sets-integer-made-each-integers?show=241061#a241061Mon, 24 Apr 2017 20:39:39 +0000Answered: 1/4 a (-8b + 4c)jt
https://www.mathhomeworkanswers.org/241037/1-4-a-8b-4c-jt?show=241059#a241059
a/4(-8b+4)jt=a(-2b+1)jt=(-2ab+a)jt=-2abjt+ajtOther Math Topicshttps://www.mathhomeworkanswers.org/241037/1-4-a-8b-4c-jt?show=241059#a241059Mon, 24 Apr 2017 20:27:57 +00003x^2-y^2=26;3x^2-5xy-12y^2. simultaneous
https://www.mathhomeworkanswers.org/241031/3x-2-y-2-26-3x-2-5xy-12y-2-simultaneous
Question of math science group class 10Punjab boardAlgebra 2 Answershttps://www.mathhomeworkanswers.org/241031/3x-2-y-2-26-3x-2-5xy-12y-2-simultaneousMon, 24 Apr 2017 10:24:10 +0000Answered: *Given: LMNB is a square, LM = 20 cm, P∈ LM , LP = 4 cm, K∈ PN , PK= 1 5 PN Find: Area of LPKB.
https://www.mathhomeworkanswers.org/241023/given-lmnb-is-square-lm-20-cm-p%E2%88%88-lm-cm-k%E2%88%88-pn-pk-pn-find-area-of-lpkb?show=241029#a241029
Not quite sure what you mean by your last statement what do you mean by PK= 1 5 PN. If PK is 15 time longer than PN you are way outside the square and could be argued that PK is not a member of PN.Geometry Answershttps://www.mathhomeworkanswers.org/241023/given-lmnb-is-square-lm-20-cm-p%E2%88%88-lm-cm-k%E2%88%88-pn-pk-pn-find-area-of-lpkb?show=241029#a241029Mon, 24 Apr 2017 09:29:46 +0000Answered: 2arcsin(x/sqrt6)+arcsin(4x)=180/2
https://www.mathhomeworkanswers.org/241007/2arcsin-x-sqrt6-arcsin-4x-180-2?show=241024#a241024
<p>Let sin(a)=x/√6 and sin(b)=4x; so 2a+b=180/2=90. 1/√6=√6/6.</p>
<p>cos(a)=√(1-x^2/6), cos(b)=√(1-16x^2)</p>
<p style="text-align:justify">sin(2a+b)=sin90=1=sin(2a)cos(b)+cos(2a)sin(b)=2sin(a)cos(a)cos(b)+(1-2(sin(a))^2)sin(b)</p>
<p style="text-align:justify">sin(2a+b)=2x√6/6√((1-x^2/6)(1-16x^2))+(1-2x^2/6)4x=1</p>
<p style="text-align:justify">(x/3)√((6-x^2)(1-16x^2))+4x-4x^3/3=1</p>
<p style="text-align:justify">x√((6-x^2)(1-16x^2))+12x-4x^3=3</p>
<p style="text-align:justify">x^2(6-x^2)(1-16x^2)=(4x^3-12x+3)^2</p>
<p style="text-align:justify">x^4+24x^3+138x^2-72x+9=0</p>
<p style="text-align:justify">From this equation, x=0.245 or 49/200.</p>
<p> </p>Trigonometry Answershttps://www.mathhomeworkanswers.org/241007/2arcsin-x-sqrt6-arcsin-4x-180-2?show=241024#a241024Sun, 23 Apr 2017 23:03:29 +0000Answered: the large hand of a clock is 28 cm long. how many centimeters does its extremely move in 20 minutes.
https://www.mathhomeworkanswers.org/241018/large-clock-long-many-centimeters-does-extremely-move-minutes?show=241019#a241019
<p style="text-align: justify;">20 mins is 1/3 of the circumference. The radius of the circle is 28cm so the circumference is 28π. One third is 28π/3=29.32cm. The extreme point of the minute hand moves about 29.32cm. The angular distance is 360/3=120 degrees.</p>Trigonometry Answershttps://www.mathhomeworkanswers.org/241018/large-clock-long-many-centimeters-does-extremely-move-minutes?show=241019#a241019Sun, 23 Apr 2017 19:13:11 +0000Answered: find the product of 6x ( a3-b3 )
https://www.mathhomeworkanswers.org/127654/find-the-product-of-6x-a3-b3?show=241011#a241011
If you remember that 6 x 4 (say) is 6 lots of 4 or to write out a long way 4+4+4+4+4+4 when you've 6 lots of anything you just write it down 6 times.<br />
<br />
so you've got<br />
<br />
a3-b3<br />
<br />
a3-b3<br />
<br />
a3-b3<br />
<br />
a3-b3<br />
a3-b3<br />
a3-b3 <br />
<br />
Which is 6a3-6b3Algebra 1 Answershttps://www.mathhomeworkanswers.org/127654/find-the-product-of-6x-a3-b3?show=241011#a241011Sun, 23 Apr 2017 07:30:09 +0000Answered: what is the x & y-intercepts of y=3x+3 (-1,-1)
https://www.mathhomeworkanswers.org/240944/what-is-the-x-%26-y-intercepts-of-y-3x-3-1-1?show=241009#a241009
This question does not completely make sense as (-1,-1) is not a point on the line. We c an show this because if x=-1 we have y=3*-1+3=-3+3=0.So when x=-1 y=0. Therefore the x intercept is -1.<br />
<br />
The y intercept is always easy to find becuase it is the number on its own in the equation +3<br />
<br />
so the x intercept is (-1,0) The y intercept is (0,3)Algebra 1 Answershttps://www.mathhomeworkanswers.org/240944/what-is-the-x-%26-y-intercepts-of-y-3x-3-1-1?show=241009#a241009Sun, 23 Apr 2017 07:21:56 +0000Answered: (a/x-b) + (b/x-a) =2 using quadratic formula
https://www.mathhomeworkanswers.org/240999/a-x-b-b-x-a-2-using-quadratic-formula?show=241001#a241001
<p><em><a rel="nofollow" href="https://www.mathhomeworkanswers.org/240999/a-x-b-b-x-a-2-using-quadratic-formula">(a/x-b) + (b/x-a) =2 using quadratic formula </a></em></p>
<p>a/(x - b) + b/(x - a) = 2</p>
<p>a(x - a) + b(x - b) = 2(x - a)(x - b)</p>
<p>x(a + b) - (a^2 + b^2) = 2(x^2 - (a+b)x + ab)</p>
<p>2x^2 - 3(a + b)x + (a + b)^2 = 0</p>
<p>Quadratic formula is: x = {-B +/sqrt(B^2 - 4AC)}/(2A), where A = 2, B = -3(a + b), C = (a + b)^2</p>
<p>So then,</p>
<p>x = {3(a + b) +/- sqrt(9(a + b)^2 - 4*2*(a + b)^2)} / (2*2)</p>
<p>x = {3(a + b) +/- sqrt((a + b)^2)} / (4)</p>
<p>x = (a + b){3 +/- 1)} / (4)</p>
<p><span style="text-decoration: underline;">x = (a + b){1 , 1/2)} </span></p>
<p><span style="text-decoration: underline;"><strong>Answer: x = (a + b), x = (a + b)/2</strong></span></p>Pre-Algebra Answershttps://www.mathhomeworkanswers.org/240999/a-x-b-b-x-a-2-using-quadratic-formula?show=241001#a241001Sat, 22 Apr 2017 17:18:32 +0000Answered: A number when divided successively by 4 and 5 leaves remainders 1 and 4 respectiveky. Whenb it is successively divided by 5 and 4, what will be the respective remainders?
https://www.mathhomeworkanswers.org/240990/successively-respectiveky-successively-respective-remainders?show=240998#a240998
<p><em>A number when divided successively by 4 and 5 leaves remainders 1 and 4 respectiveky. Whenb it is successively divided by 5 and 4, what will be the respective remainders? </em></p>
<p>Let the number be N. Then</p>
<p>N/4 = M + R=1 (the 1st remainder)</p>
<p>M/5 = K + R=4 (the 2nd remainder)</p>
<p>Reversing the above two operations,</p>
<p>M = 5K + 4</p>
<p>N = 4M + 1 (now substitute for M into this eqn)</p>
<p><span style="text-decoration: underline;">N = 20K + 17</span></p>
<p>Now do division of N by 5 then 4 successively</p>
<p>N/5 = (4K + 3) + <span style="text-decoration: underline;">R=2</span></p>
<p>(4K + 3)/4 = (K + 0) + <span style="text-decoration: underline;">R=3</span></p>
<p><span style="text-decoration: underline;"><strong>So, the two remainders now are 2 and 3, repectively</strong></span></p>
<p> </p>
<p><span style="text-decoration: underline;">Check</span></p>
<p>Let K = 3, say</p>
<p>Then, N = 20K + 17 = 60 + 17 = 77</p>
<p>Dividing by 4 then 5,</p>
<p>77/4 = 19 + <span style="text-decoration: underline;">R=1</span></p>
<p>19/5 = 3 + <span style="text-decoration: underline;">R=4</span></p>
<p>Giving us the first two remainders of 1 and 4</p>
<p>Now divide N = 77 by 5 first then by 4.</p>
<p>77/5 = 15 + <span style="text-decoration: underline;">R=2</span></p>
<p>15/4 = 3 +<span style="text-decoration: underline;"> R=3</span></p>
<p><span style="text-decoration: underline;">The Check gives us the same two remainders, 2 and 3 respectively</span></p>Other Math Topicshttps://www.mathhomeworkanswers.org/240990/successively-respectiveky-successively-respective-remainders?show=240998#a240998Sat, 22 Apr 2017 13:44:45 +0000Answered: (2x+9)^2=64
https://www.mathhomeworkanswers.org/240946/2x-9-2-64?show=240985#a240985
( 2x+9)^2 = 64<br />
<br />
(2x +9)^2 -64 = 0<br />
<br />
(2x+9)^2 - 8^2 = 0 ; ( a^2 - b^2 = ( a-b)(a+b)<br />
<br />
(2x+9-8)(2x+9+8) = 0<br />
<br />
(2x+1)(2x+!7) = 0<br />
<br />
x = - 1/2 or x = - 17/2Word Problem Answershttps://www.mathhomeworkanswers.org/240946/2x-9-2-64?show=240985#a240985Fri, 21 Apr 2017 23:19:27 +0000Answered: if a loan began on August 15 and is due on October 15, what is the ordinary time for this period?
https://www.mathhomeworkanswers.org/240954/loan-began-august-october-what-the-ordinary-time-this-period?show=240980#a240980
<p>Ordinary time is based on 360 days in a year, and each month has 30 days.</p>
<p style="text-align: justify;">Based on this, there are 15 days left in August before the end of the month. Then come 30 days for September, followed by 15 in October: 15+30+15=60 days.</p>Word Problem Answershttps://www.mathhomeworkanswers.org/240954/loan-began-august-october-what-the-ordinary-time-this-period?show=240980#a240980Fri, 21 Apr 2017 19:53:44 +0000Answered: sinx/tanxcosx
https://www.mathhomeworkanswers.org/240969/sinx-tanxcosx?show=240979#a240979
tanx=sinx/cosx, so tanxcosx=sinx, therefore the expression is sinx/sinx=1Trigonometry Answershttps://www.mathhomeworkanswers.org/240969/sinx-tanxcosx?show=240979#a240979Fri, 21 Apr 2017 19:35:06 +0000Answered: the average of 4 numbers is 85. if 3 of those numbers are 76, 78, and 81, what is the 4th number
https://www.mathhomeworkanswers.org/23208/the-average-numbers-those-numbers-are-and-what-the-4th-number?show=240972#a240972
340 i believe is your accurate answer. let me know if you need more help and i'll be thereWord Problem Answershttps://www.mathhomeworkanswers.org/23208/the-average-numbers-those-numbers-are-and-what-the-4th-number?show=240972#a240972Fri, 21 Apr 2017 17:28:51 +0000Answered: What are those?
https://www.mathhomeworkanswers.org/240949/what-are-those?show=240971#a240971
<p><em>I'm very sorry but I have no idea what you're trying to ask.... can you please repeat this question but a question that makes more sense than "what are those"? Thank you!!!</em></p>Word Problem Answershttps://www.mathhomeworkanswers.org/240949/what-are-those?show=240971#a240971Fri, 21 Apr 2017 17:27:11 +0000Answered: Water flows through a 7cm diameter pipe at the rate of 4 metres / second
https://www.mathhomeworkanswers.org/240953/water-flows-through-7cm-diameter-pipe-the-rate-metres-second?show=240965#a240965
<p><em>Water flows through a 7cm pipe at the rate of 4m/s.how many cm³ of water flow through the pipe in one second </em></p>
<p>Diameter of pipe is D = 7 cm.</p>
<p>Cross sectional area of pipe is A= pi.(D^2)/4 cm^2</p>
<p>A = pi*49/4 = <span style="text-decoration: underline;">38.48 cm^2</span></p>
<p>Water flows at v = 4 m/s</p>
<p>Water flow rate is Q = Av = 38.48 * 4 = <span style="text-decoration: underline;">153.94 cm*3/s</span></p>
<p><span style="text-decoration: underline;"><strong>Q = 154 cm^3/s</strong></span> = 154 * 10^(-3) litres/s = 0.154 litre/min</p>
<p><span style="text-decoration: underline;"><strong>Q = 0.154 l/s</strong></span></p>Other Math Topicshttps://www.mathhomeworkanswers.org/240953/water-flows-through-7cm-diameter-pipe-the-rate-metres-second?show=240965#a240965Fri, 21 Apr 2017 15:15:07 +00005 2 2 2 = 37
https://www.mathhomeworkanswers.org/240956/5-2-2-2-37
if 5, 2, 2, 2 equal 37<br />
<br />
and 2, 3, 8, 1 equal 34<br />
<br />
what does 1, 1, 1, 9 equal<br />
<br />
answner is (a) 15, (b) 31 (c) 21 (d) 19<br />
<br />
need to know the working out of this questionOther Math Topicshttps://www.mathhomeworkanswers.org/240956/5-2-2-2-37Fri, 21 Apr 2017 12:17:51 +0000Answered: NEED HELP FAST!!!!!
https://www.mathhomeworkanswers.org/198816/need-help-fast?show=240948#a240948
hi noobsWord Problem Answershttps://www.mathhomeworkanswers.org/198816/need-help-fast?show=240948#a240948Fri, 21 Apr 2017 03:35:34 +0000Proof J-3/2 (x) = -√(2/πx) ((cosx/x)+sinx)
https://www.mathhomeworkanswers.org/240947/proof-j-3-2-x-%E2%88%9A-2-%CF%80x-cosx-x-sinx
Bessel solutionOther Math Topicshttps://www.mathhomeworkanswers.org/240947/proof-j-3-2-x-%E2%88%9A-2-%CF%80x-cosx-x-sinxFri, 21 Apr 2017 01:48:12 +0000Answered: why in every graph the sum of the degrees of all the vertices equals twice the number of edges?
https://www.mathhomeworkanswers.org/54935/every-graph-degrees-vertices-equals-twice-the-number-edges?show=240930#a240930
Every edge is connected to exactly two vertices.Geometry Answershttps://www.mathhomeworkanswers.org/54935/every-graph-degrees-vertices-equals-twice-the-number-edges?show=240930#a240930Thu, 20 Apr 2017 14:29:31 +0000How can you tell from the model if the ratio is increasing or decreasing
https://www.mathhomeworkanswers.org/240926/can-you-tell-from-the-model-the-ratio-increasing-decreasing
The model was (2/9)-(8/9t+99)Algebra 1 Answershttps://www.mathhomeworkanswers.org/240926/can-you-tell-from-the-model-the-ratio-increasing-decreasingThu, 20 Apr 2017 13:36:06 +0000