Louisa has 4 yards of fabric. She uses 25 yard of fabric to make a doll dress. How many doll dresses can Louisa make with the fabric? Choose the number line model that shows the answer.

D. Number line from 0 to 4 is divided into 20 equal parts. Number line is grouped into 10 equal parts.

Step-by-step explanation:

This are the options:

A. Number line from 0 to 4 is divided into 20 equal parts. Number line is grouped into 4 equal parts.

B. Number line from 0 to 4 is divided into 20 equal parts. Number line is grouped into 8 parts.

C. Number line from 0 to 4 is divided into 20 equal parts. Number line is grouped into 5 equal parts.

D. Number line from 0 to 4 is divided into 20 equal parts. Number line is grouped into 10 equal parts.

Amount of Fabric owned by Louisa = 4 yards

If she uses 2/5 yards to make a doll dress, to get the number of dolls that 4 yards can make we will say:

1 doll = 2/5 fabric

x doll = 4 fabrics

Cross multiply

2/5 * x = 4*1

2x/5 = 4

cross multiply

2x = 20

Divide both sides by 2:

2x/2 = 20/2

x = 10

This means that she can make 10 dolls using 4 yards of fabric.

Hence the correct option will be

D. Number line from 0 to 4 is divided into 20 equal parts. Number line is grouped into 10 equal parts.

the answer is 48m^2!

step-by-step explanation:

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)