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.

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is