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The answer is 52 degrees.

The answer is x = 12.

The area is 5*pi.

The solution is z = 4.

The answer is 2(x + 8)^2 - 17.

For the product to be a binomial, I want the difference of squares.    

Since 18x is 6 times 3x, the box should contain 6 times 2, i.e., 12.     

(3x + 2)(18x – 12) can be written (3x + 2) • (3x – 2) • (6)     

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Rima and Eric have earned a total of 135 tokens to buy items at the school store. The ratio of the number of tokens that Rima has to the number of tokens that Eric has is 8 to 7. How many tokens does Rima have?     

                                    8 + 7  =  15     

                                135 / 15  =  9     

                                      8 • 9  =  72     Rima     

                                135 – 72  =  63     Eric     

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The vertex is (5,-2).

The answer is 13.

The answer is 315.

A city park commission received a donation of playground equipment from a parents' organization. The area of the playground needs to be 256 square yards for the children to use it safely. The playground will be rectangular.     

The factors of 256 are 1, 2, 4, 8, 16, 32, 64, 128, & 256. 

16 x 16 = 256      

  8 x 32 = 256     

  4 x 64 = 256     

  etc.     

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Solve the equation: -22.46 + 3.2g = -1.9g + 52 .     

–22.46 + 3.2g  =  –1.9g + 52     

    3.2g + 1.9g  =  52 + 22.46     

                5.1g  =  74.46     

                     g  =  14.6     

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A unit fractionis a fraction of the form 1/n for some nonzero integer n. Compute the number of ways we can write 1/16 as the sum of two distinct positive unit fractions. (The order of the fractions in the sum does not matter, so 1/2+1/3 would be considered the same sum as 1/3+1/2).     

1/48 + 2/48 = 3/48 = 1/16     

1/64 + 3/64 = 4/64 = 1/16     

1/80 + 4/80 = 5/80 = 1/16     

2/80 + 3/80 = 5/80 = 1/16     

1/96 + 5/96 = 6/96 = 1/16     

2/96 + 4/96 = 6/96 = 1/16     

This could go on forever.  There is no final example.     

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How many 3-digit positive integers can be added to 463 such that no carry occurs when adding the digits?     

100's position     10's position     1's position     

          1                      0                      0     

          2                      1                      1     

          3                      2                      2     

          4                      3                      3     

          5                                              4     

                                                          5     

                                                          6     

          5 • 4 • 7  =  140     

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Find the positive difference between the solutions to the equation 6t^2 + 30 = 41t     

6x² + 30  =  41x     

6x² – 41x + 30  =  0     

(x – 6)(6x – 5)  =  0     

x = 6   &   x = ⁵/₆     —>   6 – ⁵/₆  =  5 ¹/₆     

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Miko and Freya saved the same amount of money. After Miko lent $32 to Freya, Freya had 5 times as much money as Miko. How much did Freya have in the end     

     5 • (M – 32)  =  (F + 32)     

     5 • (F – 32)  =  (F + 32)     

     5F – 160  =  F + 32     

                4F  =  192     

                  F  =  48 to start with    

                  F ended up with 48 + 32 = 80     

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