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stealth61 [152]
3 years ago
8

Martin had 7 pounds of grapes left, and he gave away 2 5 of them. Explain how to use compatible numbers to estimate the amount o

f grapes he gave away.
Mathematics
2 answers:
nalin [4]3 years ago
3 0

Compatible numbers are numbers which are easy to do mental calculation. For example is when doing division like 25 and 5, 100 and 10, and 36 and 6.

First, we know that: 7 pounds=5 pounds + 2 pounds

                                or 7=5+2

In mathematics, the word “of” means to multiply. So:

                                grapes given away = 7  * (2/5)

Replacing 7 with 5 and 2:

                                                                = (5+2)*(2/5)

Using the distribution principle:

                                                =5*(2/5) + 2*(2/5)

                                                =2+ 4/5

                                =2 4/5

So grapes given away is 2 4/5 pounds.

marusya05 [52]3 years ago
3 0
<span>2/5 is close to 1/2, and it is easy to find 1/2 of 7 mentally. Half of 7 is 3.5, so Martin gave away about 3.5 pounds.</span>
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Step-by-step explanation:

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The measure of angle A is 62 degrees . Find the measures of the complement and supplement of angle A
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Step-by-step explanation:

To determine the supplement, subtract the given angle from 180.

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To determine the complement, subtract the given angle from 90.

90 - 62 = 28

6 0
3 years ago
The radius of a sphere is multiplied by 1/7. What effect does this have on the volume of the sphere?
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Answer:

The new volume is 1/343 of the old volume or the ratio of the new volume to the old volume is 1 to 343

Step-by-step explanation:

In this question, we are asked to state the effect of multiplying the radius of a sphere by 1/7 on the volume.

Mathematically, the volume of a sphere V can be calculated using the formula

V = 4/3 * π * r^3

Now multiplying the radius by 1/7, the new radius will be r/7

Thus the new volume here will be

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Answer:

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Step-by-step explanation:

Given

f(x) = 5(2^x)

Required

Determine f(-1); f(0) and f(2)

Solving f(-1)

In this case, we simply take x as;

x = -1

Substitute -1 for x in f(x) = 5(2^x)

f(-1) = 5(2^{-1})

Apply law of indices

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Solving f(0)

In this case, we simply take x as;

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In this case, we simply take x as;

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Substitute 2 for x in f(x) = 5(2^x)

f(2) = 5(2^2)

f(2) = 5(4)

f(2) = 20

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