Let x=the length of the third (non-congruent) side. x + 3x = 35 4x = 35 x = 35/4. the other sides are (35-35/4)/2 = (105/8)
Let x=the length of the third (non-congruent) side. x + 3x = 35 4x = 35 x = 35/4. the other sides are (35-35/4)/2 = (105/8)
The length of the garden is 24, the width is x. The area is 24x The length of the garden and sidewalk is 24+2(5)=34, the width is x + 2(5) = x+10. The area is 34(x+10)=34x+340 To find the area of the sidewalk we find the total area and subtract...
Tell your parents immediately. Do not reply to anything he sends.
7/9 pizza = 14 pizza = 14(9/7) = 18
(4/5)x-(4/5)2 = 10 (4/5)x -8/5 = 10 (4/5)x = 58/5 x = (58/5)(5/4) = 17
Let x = # tickets for ASB holders and y= # tickets for non-ASB holders. Set up a system of 2 equations in 2 variables: x + y = 203 2.50x + 4.00y = 620 solve via substitution or elimination
There are a number of ways to reach the number 4. But in simple terms, if 2 always go across, 1 must come back, so it must take 4 trips to get everyone over.
-9 = -h/12 + 5 subtract 5 from both sides -14 = -h/12 multiply both sides -12 168 = h
Let x = total sales, then the first person makes 800 + .03x, the second makes .1x and set up the inequality: .1x > .03x + 800 and solve .07 x > 800 x > 11428.57
We need to find the distance the train travels, and since we know its speed we can then calculate the time. Convert 40 degrees to radians 40/180 = x/Pi x = 2/9*Pi and multiply this by the radius to get the distance and convert to miles 2/9*pi*1800...
Let x = amt of the 40% alloy and 120-x =amt of the 80% alloy .40(x) + .80(120-x) = .70(120) -.40(x) + 96 = 84 -.4x = -12 x = 30kg of 40% alloy, 90kg of 80% alloy
(x+h)2 - (x-h)2 = x2 +2xh + h2 - (x2 -2xh +h2) = 4xh then divide by 2h and get 2x
let x = the first piece and x+14 is the second. 2x + 14 = 36 2x = 22 x = 11, the other piece is 25
The vertex form of Quadratic equation is: y = a(x-h)2 + k where (h,k) is the vertex (which is also the min or max) and a is the dilation/reflection factor For the first problem, the vertex is (-2,0), it opens up (because a is positive), it is compressed by...
For the 1st one, combine your like terms on each side and then slolve for x 9a - 3 = 4a - 3 Subtract 41 from both sides and add 3 to both sides 5a = 0 a=0 For the second problem, if we divide both sides by (m+2) we get m+3...
The probability of the first event is 3/6 or 1/2. The probability of the second event 2/6 or 1/3. Together we get: 1/2 x 1/3 = 1/6
We must break each force down into it's x and y components, add them together, and then convert back to polar coordinates. Force 1: x=90cos 55 = 51.62 y=90sin 55 = 73.72 Force 2: x=100cos 300 = 50 y=100sin300 = -86.60 (300 degrees equals -60 degrees) Combined...
First we need the balanced chemical equation: SiO2 + C ------> SiC + O2 Then we calculate how much SiC should be produced from 953 moles of SiO2. Since the ratio is 1 to 1, we will produce 953 moles of SiC. 953 moles...
Let x=the angle, then 90-x = complement and 180-x = supplement. Therefore: 180-x = 2(90-x) + 10 and solve for x 180-x = 180 - 2x + 10 x = 10, Compliment is 80, supplement is 170
You are correct d=rt, or t = d/r = 1716/264 = 6.5