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3 years ago

Expand the following: 4(2x+1)

Mathematics

2 answers:

Eddi Din [679]3 years ago

7 0

Answer: 8x + 2.

Step-by-step explanation:

4(2x+1) - original equation

8x + 4 - expanded through distribution

Anvisha [2.4K]3 years ago

6 0

Answer:

8x+4

Step-by-step explanation:

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The radius of a softball is 3.75 cm, and the radius of a table tennis ball is 2 cm. The volume of the softball is how many times

Natali5045456 [20]

Answer:

The volume of the softball is 6.6 times the volume of the tennis ball

Step-by-step explanation:

we know that

The volume of a sphere is equal to

$V=\frac{4}{3}\pi r^{3}$

step 1

Find the volume of the softball

we have

$r=3.75\ cm$

substitute

$V=\frac{4}{3}(3.14)(3.75)^{3}=220.8\ cm^{3}$

step 2

Find the volume of the tennis ball

we have

$r=2\ cm$

substitute

$V=\frac{4}{3}(3.14)(2)^{3}=33.5\ cm^{3}$

step 3

Divide the volume of the softball by the volume of the tennis ball

$220.8\ cm^{3}/33.5\ cm^{3}=6.6$

therefore

The volume of the softball is 6.6 times the volume of the tennis ball

<em>Alternative Method</em>

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

The scale factor is equal to the ratio of its radius

$\frac{3.75}{2}=1.875$

therefore

The scale factor elevated to the cube is

$1.875^{3}=6.6$

therefore

The volume of the softball is 6.6 times the volume of the tennis ball

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3 years ago

Solve -2(x-5) + 3x = 2(x+3) + 17 *

babymother [125]

Answer:

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Step-by-step explanation:

Hope this helped :)

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Expand the following: 4(2x+1)​

Expand the following: 4(2x+1)