URGENT!! A 16 inch board is to be cut into three pieces so that the second piece is twice as long as the first piece and the third piece is 5 times as long as the first piece. If x represents the length of the first piece, find the lengths of all three pieces. what is the length of the first piece, the second piece, and third piece?

Step-by-step explanation:

let length of first piece = x in

length of second piece = 2x

length of third piece = 5x

x+2x+5x= 16

8x =16

x =16/8

x=2

length of :

first piece =2 inches

second piece = 4 inches

third piece = 10 inches..

please mark me as the brainliest..

2, 4, 10 in

Step-by-step explanation:

The first piece is x thus the second piece is 2x ( twice as long as first ) and

the third piece is 5x ( five times as long as the first )

Add the 3 together and equate to 16

x + 2x + 5x = 16, that is

8x = 16 ( divide both sides by 2 )

x = 2

Thus

first piece = x = 2 in

second piece = 2x = 2 × 2 = 4 in

third piece = 5x = 5 × 2 = 10 in

168

step-by-step explanation:

first off, we know that he drove 3.5 hours at a rate of 48 mph.

knowing that, we want to see how many miles he drove all-together.

in this case, we can just multiply 48 by 3.5.

48 * 3.5 = 168

step-by-step explanation:

the ratio of red paint to blue paint is always 9/7. that means that, whatever x's value, (4x+12)/(4x-4) has that same ratio. so, set up an equation and cross-multiply to solve for x:

9/7 = (4x+12)/(4x-4)

9(4x-4) = 7(4x+12)

36x - 36 = 28x + 84

8x - 36 = 84

8x = 120

x = 15