A board 60 in long is cut into two parts so that the longer piece is 5 times the shorter. What are the two lengths of the two pieces ? The shorter piece is a° in
the longer piece is a° in

Longer piece: 50 in

Shorter piece: 10 in

Step-by-step explanation:

Lets make the shorter piece = x

Leta make the longer piece = 5x

Since the longer piece is 5 times the shorter, this is why we put 5x, because 5 times the shorter. We also have to find the two lengths of the pieces which in total equals 60 in.

x + 5x = 60 in

If we substitute the x to 10:

10 + 50 = 60 in

10 in = shorter length

50 in = longer length

rounding to the nearest thousandth would be 452,000

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!