Monique sells nut mixes . She uses * 1/4 of her supply of almonds to make a nut mix and of her 5/8 supply to make a fruit and nut mix. If Monique uses 28 pounds of almonds , how many pounds of almonds did she have in her supply ?

32 pounds of almonds

Step-by-step explanation:

Monique sells nut mixes . She uses * 1/4 of her supply of almonds to make a nut mix and of her 5/8 supply to make a fruit and nut mix.

The total fraction of almonds that Monique used both for her but mix and fruit and nut mix =

1/4 + 5/8

Lowest common denominator is 8

1 × 2 + 5 × 1/8

2 + 5/8

= 7/8

If Monique uses 28 pounds of almonds

Let the total number of almonds = x

7/8 × x = 28

7x /8 = 28

Cross Multiply

7x = 8 × 28

x = 8 × 28/7

x = 32 pounds

Therefore, Monique initially had 32 pounds of almonds in her supply.

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

d

step-by-step explanation:

i used the pitagoras theoreme