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3 years ago

If want to spend EXACTLY all $40. This means no

Mathematics

1 answer:

laiz [17]3 years ago

6 0

Answer:

You would buy 4 pairs of socks and 4 pairs of gloves.

Step-by-step explanation:

5x4= 20

4x5=20

20+20=40

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Show that 12n cannot end with the digit 0 or 5 for any natural number

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Step-by-step explanation:

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2 years ago

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

Alternative Method

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

Given that 9 x − 4 y = 20 Find y when x = − 2 Give your answer as an improper fraction in its simplest form.

Zigmanuir [339]

Answer:

y = $-9 \frac{1}{2}$

Step-by-step explanation:

9x-4y = 20

Given that x = -2

Putting in the above equation

9(-2) -4y = 20

-18 - 4y = 20

-4y = 20+18

-4y = 38

Dividing both sides by -4

y = $-\frac{38}{4}$

y = $-\frac{19}{2}$

y = $-9 \frac{1}{2}$

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4 years ago

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