Question

I was on vacation for this unit and having a hard time

Answer 1

1.a

We can rewrite the given information in an algebraic expression as follows:

`(3)/(8)x=6`

where x represents the number of 3/8-inch thick books. Solving for x:

`x=(6)/((3)/(8))`

We can rearrange the operation:

`x=(6)/(3)\cdot8`
`x=(48)/(3)`
`x=16`

Then, we need 16 3/8-inch books to make a stack 6 inches tall.

1.b

To solve this exercise, we can use the same procedure as in 1.a.

0. Writing the information in an algebraic expression.

`(1)/(2)x=2\cdot(3)/(4)`

where x represents the groups of 1/2 pound.

We can convert the mixed number into an improper fraction:

`2\cdot(3)/(4)=(2\cdot4+3)/(4)=(8+3)/(4)=(11)/(4)`

2. Rewriting the operation:

`(1)/(2)x=(11)/(4)`
`x=((11)/(4))/((1)/(2))`
`x=(11\cdot2)/(4\cdot1)`
`x=(22)/(4)`
`x=5.5`

We have 5.5 groups of 1/2 pounds in 2 (3/4) pounds.

Answer:

• 1.a 16

,

• 2.b 5.5