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3 years ago

Select the expressions that are equivalent to 18m - 12.

Mathematics

1 answer:

krok68 [10]3 years ago

4 0

Answer:

All the expressions other than option E, is equivalent to the expression 18m - 12.

Step-by-step explanation:

A. 6m - 4 + 6m -4 + 6m - 4

or 6m+6m+6m -4 -4 -4

or 18m -12

B. 12m + 6 - 6m -6

or 12m - 6m + 6 - 6

or 6m

C.6(3m - 2)

or 18m - 12

D.3(6m - 4)

or 18m - 12

E. 24n - 4² + 8 -6m

This option can not satisfy the given expression as it contains another variable as n.

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Part 2) The value that is closest to the cost of finishing a sphere with a 7.85-meter circumference is $1,800

Step-by-step explanation:

Step 1

Find the radius of each sphere

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step 2

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For $r=1.25\ m$

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substitute

$SA=4(3.14)(1.25)^{2}$

$SA=19.63\ m^{2}$

step 3

Find the cost of finishing each sphere

we know that

To find out the cost , multiply the surface area by $92 per square meter

Find the cost of sphere with a 5.50-meter circumference

$9.73*(92)=\$895.16$

therefore

The value that is closest to the cost of finishing a sphere with a 5.50-meter circumference is $900

Find the cost of sphere with a 7.85-meter circumference

$19.63*(92)=\$1,805.96$

therefore

The value that is closest to the cost of finishing a sphere with a 7.85-meter circumference is $1,800

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