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Katyanochek1 [597]
4 years ago
11

a mug is 2/7 full. The mug contains 1/3 of a cup of water. Find the capacity of the mug. Write the answer as a fraction or mixed

number in simplest form.
Mathematics
1 answer:
Ahat [919]4 years ago
5 0

Answer:

7/6 cups

Step-by-step explanation:

Given the following information :

Mug is 2/7 full

Amount of water in the mug = 1/3 cup

Assume the full capacity of the mug = m

Then the current capacity of water in mug = (2/7) of m = (2/7)m

Current capacity of water in mug is equivalent to 1/3 cup of water

Hence,

(2/7)m = 1/3

2m/7 = 1/3

Cross multiply

(2m * 3) = 7 * 1

6m = 7

m = 7/6

m = 1 1/6 cups

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Step-by-step explanation:

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3.17x10^-3

Step-by-step explanation:

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Solve for t: t ÷ 5 = 8
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Step-by-step explanation:

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4 years ago
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8 0
2 years ago
Jeff's mother gave him money. he used an equal amount of money each day. at the end of the 7th day, he was left with 1/4 of how
skelet666 [1.2K]

Jeff received 280$ from his mother

Such questions are the simplest as it needs you to just write the conditions accordingly which then simplifies and provides you the answer.

This question can be solved using two tricks which are shown below:-

Trick  1 :

1 – 1/4 = 3/4 (used for the 1st 7 days)

1/4 – 410 (used for 8th and 9th days)

(3/4)/7 ——- (1/4 – 10)/2

(3/4) x (2/7) = 3/14 ——- (1/4 – 10)

1/4 – 3/14 = (7 – 6)/28 = 1/28 ——- 10

28/28 ——- 10 x 28 =$ 280

Trick 2 :

7 days ——- 3/4

1 day ——- 3/28

2 days ——- 6/28

6/28 ——- (1/4 – 10) = 7/28 – 410

1/28 ——- 10

28/28 ——- 10 x 28 = $280

Thus Jeff received 280$ from his mother.

Learn more about simple math here :

brainly.com/question/23678

#SPJ4

4 0
2 years ago
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