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Hunter-Best [27]
3 years ago
12

When 12 marbles are added to a rectangular aquarium, the water in the aquarium rises 1 1/2 inches. In total, how many marbles mu

st be added to the aquarium to raise the water 2 3/4 inches?
Mathematics
1 answer:
adelina 88 [10]3 years ago
5 0

Answer:21 marbles would be added to raise the water 2 3/4 inches

Step-by-step explanation:

When 12 marbles are added to a rectangular aquarium, the water in the aquarium rises 1 1/2 inches. Converting 1 1/2 inches to improper fraction, it becomes 3/2 inches

Let x represent the number of marbles that would be added to the aquarium to raise the water 2 3/4 inches. Converting 2 3/4 inches to improper fraction, it becomes 11/4 inches. Therefore

12 marbles = 3/2 inches rise

x marbles = 11/4 inches rise

Cross multiplying,

12 × 11/4 = 3/2 × x

33 = 3x/2

3x = 33 × 2 = 66

x = 66/3 = 21

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zalisa [80]

Answer:

Step-by-step explanation

7.

\frac{6}{6+6} =\frac{8}{8+8} =\frac{7}{x} \\\frac{1}{2} =\frac{7}{x} \\x=7*2=14

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\frac{x+1}{12} =\frac{x-1}{8} \\12x-12=8x+8\\12x-8x=8+12\\4x=20\\x=20/4=5

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3 years ago
GIVING BRAINLIEST Write a proportion that could be used to solve for each variable. Then solve. 7 pencils for $1.68 p pencils fo
Evgesh-ka [11]

The proportion that could be used to solve for the variable is:

\frac{7}{1.68}=\frac{p}{2.88} ; p = 12 ⇒ b

Step-by-step explanation:

Direct proportion means that two (or more) quantities increase or decrease in the same ratio

  • y = k x is the equation of direct proportion, where k is the constant of proportionality
  • \frac{y_{1}}{x_{1}}=\frac{y_{2}}{x_{2}}=k is the another way to write a proportion

The number of pencils and the cost of them is increased together or decreased together

∴ The number of the pencils and their costs are in direct proportion

- By using the 2nd rule above

∵ The cost of the 7 pencils is $1.68

∵ The cost of p pencils is $2.88

∴ \frac{7}{1.68}=\frac{p}{2.88}

The proportion that could be used to solve for the variable is: \frac{7}{1.68}=\frac{p}{2.88}

∵ \frac{7}{1.68}=\frac{p}{2.88}

- By using cross multiplication

∴ p × 1.68 = 7 × 2.88

∴ 1.68 p = 20.16

- Divide both sides by 1.68

∴ p = 12

The value of variable p is 12

Learn more:

You can learn more about the proportion in brainly.com/question/10708697

#LearnwithBrainly

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3 years ago
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Step-by-step explanation:

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3 years ago
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£360 is shared between Abby, ben, chloe and denesh. the ratio of the amount abby gets to the amount that ben gets is 2:7. chloe
Gwar [14]

Answer:

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Step-by-step explanation:

Let amount that abby gets=x

Given that \frac{Amount\ of\ abby}{Amount\ of\ Ben} =\frac{2}{7}

Amount\ of\ ben=\frac{7}{2}\times Amount\ of\ abby\\ =\frac{7}{2}\ x

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Amount\ of\ Ben =\frac{7}{2}\ x = \frac{7}{2} \times 60\\\\=7\times 30\\\\=210

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3 years ago
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Answer:

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