A square picture with sides of 32 inches is to be mounted on a square mat with sides of 52 inches. Find the area of the mat that will remain uncovered by the picture.

Step-by-step explanation: this problem will result in difference of two squares.

Firstly since they are both areas, it will be area of the bigger square minus area of the smaller squares.

52² - 32²= (52+32)(52-32)

= (84)(20)

=1680inch².

Therefore the area of the material that will remain uncovered will be

1680inches²

the number of possible outcomes that do not show a 1 on the first spinner and show the number 4 on the second spinner is 2.

spinner 1 spinner 2

1                     1

1                     2

1                     3

1                     4

2                   1

2                   2

2                   3

2                   4   = not 1, and 4

3                   1

3                   2

3                   3

3                   4 = not 1, and 4

only 2 outcomes have passed the given condition.

step-by-step explanation:

x is the total time in minutes for the free response

you are given number of questions as 15 - m and time per item as 8 minutes

to find x multiply the two givens together:

x = 8 * (15-m) = 8(15-m)