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3 years ago

Rewrite the formula to find the radius of a sphere. The volume (V) of a sphere is given by the formula V=4/3 pi r^3

Mathematics

1 answer:

Paladinen [302]3 years ago

6 0

Answer:

see explanation

Step-by-step explanation:

Given

V = $\frac{4}{3}$ πr³

Multiply both sides by 3 to clear the fraction

3V = 4πr³ ( divide both sides by 4π )

$\frac{3V}{4\pi }$ = r³ ( take the cube root of both sides )

r = $\sqrt[3]{\frac{3V}{4\pi } }$

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A pet store sells goldfish and hermit crabs,

Elis [28]

Answer:

$Cost = \$28$

Step-by-step explanation:

Given

Represent Goldfish with g and hermit crabs with h.

The first statement, we have:

$7g + 3h = 26$

The second statement, we have:

$4g + 5h = 28$

Required

Determine the selling price of 6 goldfish and 4 hermit crabs

The equations are:

$7g + 3h = 26$ --- (1)

$4g + 5h = 28$ --- (2)

Make g the subject in (2)

$4g + 5h = 28$

$4g = 28 - 5h$

Divide both sides by 4

$g = \frac{1}{4}(28 - 5h)$

Substitute $\frac{1}{4}(28 - 5h)$ for g in (1)

$7g + 3h = 26$

$7(\frac{1}{4}(28 - 5h)) + 3h = 26$

$\frac{7}{4}(28 - 5h) + 3h = 26$

Multiply through by 4

$4 * \frac{7}{4}(28 - 5h) + 4*3h = 26*4$

$7(28 - 5h) + 4*3h = 26*4$

Open bracket

$196 - 35h + 12h = 104$

$196 -23h = 104$

Collect Like Terms

$-23h = 104-196$

$-23h = -92$

Make h the subject

$h = \frac{-92}{-23}$

$h = \frac{92}{23}$

$h = 4$

Substitute 4 for h in $g = \frac{1}{4}(28 - 5h)$

$g = \frac{1}{4}(28 - 5*4)$

$g = \frac{1}{4}(28 - 20)$

$g = \frac{1}{4}(8)$

$g = 2$

This implies that:

1 goldfish = $2

1 hermit crab = $4

The cost of 6 goldfish and 4 hermit crabs is:

$Cost = 6g + 4h$

$Cost = 6*\$2 + 4*\$4$

$Cost = \$12 + \$16$

$Cost = \$28$

5 0

3 years ago

6. What are the extremes of the following proportion? 3⁄15 = 12⁄60 A. 3 and 60 B. 3 and 15 C. 15 and 12 D. 12 and 60

bonufazy [111]

3 and 60 are the extremes while 15 and 12 are the means.

4 0

3 years ago

Which of these shapes have an area

Elis [28]

I pretty sure the answer is c

4 0

2 years ago

Read 2 more answers

Make a dot plot of the data. Use the dot plot to describe the data. page 515 number 8 17.5 independent practice

Radda [10]

Answer

What are the numbers

Step-by-step explanation:

3 0

3 years ago

Translate this phrase into an Algebraic expression "57 more than 3 times Greg's score"

labwork [276]

Answer:

57 + 3x

Step-by-step explanation:

“More than” is called “+”.

“Times” is called “×”.

Greg's score will be represented as “x”.

Note: “3x” also means “3 × x”.

6 0

3 years ago