Prove that your recipe makes exactly 10 cups.
• Explain the most efficient method for measuring each ingredient using only
the following two measuring cups:
1/3
cup and
1/4
cup. You can use one or
both of the measuring cups

Answer:

Use both measuring cups 16 times and then use the [tex]\frac{1}{3}[/tex] cup to measure twice for exactly 10 cups.

Step-by-step explanation:

When working with fractions, I like to make the denominators the same first.

[tex]\frac{1}{3}[/tex] cup = [tex]\frac{4}{12}[/tex] cup

[tex]\frac{1}{4}[/tex] cup = [tex]\frac{3}{12}[/tex] cup

10 cups = [tex]\frac{120}{12}[/tex] cups

Now, for the most efficient method, it would be reasonable to use both cups so that it is quicker.

1 scoop using both cups: [tex]\frac{4}{12}[/tex] + [tex]\frac{3}{12}[/tex] = [tex]\frac{7}{12}[/tex] cup in total

No. of scoops using both cups: [tex]\frac{120}{12}[/tex] ÷ [tex]\frac{7}{12}[/tex] = 16 R [tex]\frac{8}{12}[/tex]

You know that using both cups, you can scoop 16 times with a remainder of [tex]\frac{8}{12}[/tex]. You cannot scoop [tex]\frac{8}{12}[/tex] using both cups without the remaining [tex]\frac{1}{12}[/tex] left to scoop, so you have to use only one cup to scoop. The bigger cup is the [tex]\frac{4}{12}[/tex] cup, so I will use that one to scoop the remaining [tex]\frac{8}{12}[/tex].

No. of scoops using the  [tex]\frac{4}{12}[/tex] cup: [tex]\frac{8}{12}[/tex] ÷  [tex]\frac{4}{12}[/tex] = 2

Overall, you will use both cups together for 16 times, then use the [tex]\frac{1}{3}[/tex] cup twice.

HELPPP!!! I'LL MARK BRAINLIEST!!!!!

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Unit 2 Lesson 10 Cool Down Graphs

Which graphs do NOT represent a proportional relationship?

Select all that apply.

Group of answer choices

A

B

C

D

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Question 21 pts
Look at your answers to question 1.



Explain what was wrong with EACH graph you picked.

(why does the graph NOT represent a proportional relationship)

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