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3 years ago

1. Find the product. Your answer should be in simplest form.

Mathematics

1 answer:

svp [43]3 years ago

3 0

Answer:

1) 24

2) 21/2 = 10 1/2

3) 2/5

Step-by-step explanation:

1) We have 2 2/3 * 9, to solve this we have to know that in multiplications we multiply the numerator from the first fraction times the numerator from the second fraction, and the denominators are multiplied too.

We also know that 2 2/3 = 8/3, because we multiply 2 times the denominator and then we add that result plus the numerator.

So now we have:

8/3 * 9 = 72/3 = 24

2) We do the same thing than in problem 1.

We have -4 1/2 * -2 1/3, so first we change them:

-4 1/2 = -9/2 and -2 1/3 = -7/3, so we have:

-9/2 * -7/3 = 63/6 = 21/2 = 10 1/2

3) We have 1/3 ÷ 5/6, to divide we can flip the second fraction and just solve it as a multiplication:

1/3 * 6/5 = 6/15 = 2/5

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ivolga24 [154]

Given:

Two jugs are similar. The smaller jug has radius 4 cm and the bigger jug has radius 6 cm and surface area 125 cm².

To find:

The area of the smaller jug.

Solution:

If two figures are similar, then the ratio of their areas is proportional to the square of the corresponding sides of the figures.

Two jugs are similar. So,

$\dfrac{\text{Area of smaller jug}}{\text{Area of bigger jug}}=\dfrac{(\text{Radius of smaller jug})^2}{(\text{Radius of bigger jug})^2}$

$\dfrac{\text{Area of smaller jug}}{125}=\dfrac{(4)^2}{(6)^2}$

$\dfrac{\text{Area of smaller jug}}{125}=\dfrac{16}{36}$

$\text{Area of smaller jug}=\dfrac{4}{9}\times 125$

$\text{Area of smaller jug}\approx 55.56$

Therefore, the area of the smaller jug is about 55.56 cm².

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Answer:

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kap26 [50]

Answer:

3/5 works

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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