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## Answers by Thomas E.

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.

(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 (answer)

-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

Trig question (answer)

(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...

8a+a-3=6a-2a-3?? (answer)

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

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