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4 years ago

If a sphere’s volume is doubled, what is the corresponding change in its radius?

1 answer:

4 0

Volume of a sphere = (4/3) (pi) (radius)³

The sphere's volume is proportional to the cube of its radius,
so the radius is proportional to the cube-root of the volume.

The only way to double a sphere's volume is to increase
its radius by the factor of
∛2 = 1.26 (rounded).

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What is the solution?

sesenic [268]

Answer:

C that is the answer hope I helped you guys

7 0

3 years ago

Mrs. Hart spent 3/5 of her money on a bag and 1/6 on a belt. She had $14 left. How much money did she have initially?

klasskru [66]

Answer:

$60

Step-by-step explanation:

Let x represent the initial money she had

She spent 3/5 of her money on a bag, That is;

3/5 of x

= 3/5 * x

and 1/6 of x on a belt

Therefore, the total money she spent is

3/5 * x + 1/6 * x

She had $14 left after all her purchases

To find how much she had left, sum up all her spending and what she has left

3/5 * x + 1/6 * x + 14 = x

collect like terms

3/5 x + 1/6 x - x = -14

23/30 x -x = -14

-7/30x = -14

x = $60

4 0

3 years ago

In the class of 40 students,18 passed mathematics,19 passed account,16 passed economics,5 passed mathematics and accounts only ,

Alexus [3.1K]

Answer:

A) 4 students

B) 32.5%

C) 19/40

Step-by-step explanation:

Using set notation to solve the problem with universal set n(U) = 40

Let n(A) be the number of students that pass account

n(E) be the number of students that pass economics

n(M) be the number of students that pass mathematics

n(AUEUM)' be number of students that failed in all the 3 subjects.

n(AUEUM) be number of students that pass in all the 3 subjects.

n(U) = n(AUEUM)+ n(AUEUM)'

Find the remaining solution in the attachment

4 0

3 years ago

Perform the indicated operation.(3/a+2) + (4/a-5)

kipiarov [429]

Answer:

$\frac{7(a-1)}{(a+2)(a-5)}$

Step-by-step explanation:

To solve this operation we need to find the common multiple of both denominators and solve for a.

$\frac{3}{a+2} + \frac{4}{a-5} =\frac{3(a-5)+4(a+2)}{(a+2)(a-5)} =\frac{3a-15+4a+8}{(a+2)(a-5)} =\frac{7a-7}{(a+2)(a-5)} =\frac{7(a-1)}{(a+2)(a-5)}$

Thus, the solution is 7(a -1) / (a+2)(a-5)

8 0

4 years ago

Translate five times the sum of a number and three into a mathematical expression

sergiy2304 [10]

Answer:

5(x-3)

Step-by-step explanation:

The word "SUM" means the answer to an "ADDITION".

"SUM" is always used with the word "AND" to indicate which numbers are being added.

The SUM of a number AND -3 is written as:

( x + ( − 3 ) ), or ( x -3 )

(where we have chosen the number to be x .)

But we want FIVE of those sums; this means:

5 ( x − 3 )

4 0

3 years ago

Read 2 more answers