Marcy needs to make 5 lb of a cashew/raisin mixture for a party. Her local grocery store sells raisins for $4.50/lb and cashews for $9.50/lb. How many pounds of raisins and cashews should she buy if she wants to spend $40? Enter your answers in the boxes. raisins: lb cashews: lb

Pounds of raisins = 1.5 lb

Pounds of cashew = 3.5 lb

Step-by-step explanation:

Let

Pounds of raisins = x

Pounds of cashew = y

x + y = 5 (1)

4.50x + 9.50y = 40 (2)

From (1)

x = 5 - y

Substitute x = 5 - y into

4.50x + 9.50y = 40

4.50(5 - y) + 9.50y = 40

22.50 - 4.50y + 9.50y = 40

- 4.50y + 9.50y = 40 - 22.50

5y = 17.5

y = 17.5 / 5

= 3.5

y = 3.5lb

Substitute y = 3.5 into

x + y = 5

x + 3.5 = 5

x = 5 - 3.5

= 1.5

x = 1.5lb

Pounds of raisins = 1.5 lb

Pounds of cashew = 3.5 lb

x = 23.78

step-by-step explanation:

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|