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Explanation:

He uses 3/8 of the amount to make bread, 1/6 of the amount to make pancakes, and 5/12 of the amount to make jam.

Add up those fractions. But first let's make each fraction have the LCD (lowest common denominator) of 24

3/8 = 9/24 multiply top and bottom by 3

1/6 = 4/24 multiply top and bottom by 4

5/12 = 10/24 multiply top and bottom by 2

Now we can add the fractions:

(3/8) + (1/6) + (5/12)

(9/24) + (4/24) + (10/24)

(9+4+10)/24

23/24

So in total, Wayne used up 23/24 of all the blueberries he bought.

Let's make this unknown amount x

x = amount of blueberries he bought, in ounces

Multiplying the sum we got (23/24) by x leads to the amount of blueberries he used, which is 69 ounces

So,

(fraction used)*(amount he bought) = (amount he used)

(23/24)*x = 69

23x = 69*24 multiply both sides by 24

23x = 1656

x = 1656/23 ... divide both sides by 23

x = 72

He bought 72 ounces of blueberries.

Let's check that answer

A = 3/8 of 72 = (3/8)*72 = 27 = amount used for bread

B = 1/6 of 72 = (1/6)*72 = 12 = amount used for pancakes

C = 5/12 of 72 = (5/12)*72 = 30 = amount used for jam

A+B+C = 27+12+30 = 69 = total amount used

This confirms our answer.

angle addition postulate

2x=56

step-by-step explanation: