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Angelina_Jolie [31]
3 years ago
9

What is the value of x?​

Mathematics
1 answer:
Kazeer [188]3 years ago
6 0

Answer:

Step-by-step explanation:

The volume of a sphere is

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

We are told our volume is 500pi/3, so we fill that in and solve for r:

\frac{500\pi}{3}=\frac{4}{3}\pi r^3

Start by multiplying both sides by 3 over 4 pi:

(\frac{3}{4\pi})\frac{500\pi}{3}=(\frac{3}{4\pi})\frac{4\pi}{3}r^3

Simplifying gives us

125=r^3

Take the cubed root of both sides to get that

r = 5

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The radius of a cylindrical water tank is 6.5 ft, and its height is 19 ft. What is the volume of the tank?
creativ13 [48]

Answer:

The volume of the cylinder is 2520.64ft³

Step-by-step explanation:

To calculate the volume of a cylinder we have to use the following formula:

v = volume

h = height = 19ft

π = 3.14

r = radius = 6.5ft

v = (π * r²) * h

we replace with the known values

v = (3.14 * (6.5ft )²) * 19ft

v = (3.14 * 42.25ft²) * 19ft

v = 132.665ft² * 19ft

v = 2520.64ft³

The volume of the cylinder is 2520.64ft³

4 0
3 years ago
Determine whether the solution of -2x = -15 is<br> Greater than or less than -15
brilliants [131]

Positive numbers are always greater than -15. Therefore, it's a greater than.

-2x = - 15

Dividing both sides by -2, we get

x = 7.5

Negative cancels on both sides, so we get a positive equation.

Positive numbers are always greater than -15. Therefore, it's a greater than.

What is greater than or less than?

  • Greater than and less than are the comparison symbols.
  • When the number is bigger or smaller than the other, then greater than and less than symbols are used.
  • If the number is greater than the other, the greater than (>) symbol is used.
  • If the number is lesser than the other, the less than the (<) symbol is used.

To learn more about greater than and less than, visit: brainly.com/question/15746367

#SPJ9

5 0
1 year ago
Whats the solution to this equation? 3x-9=12
Nutka1998 [239]

Answer:

x=7

Step-by-step explanation:

3x-9=12

add 9 to both sides

3x=21

divide both sides by 3

x=7

6 0
3 years ago
Read 2 more answers
If Bob produces 36 or fewer items in a week, he is paid X dollars per item. If Bob produces more than 36 items in a week, he is
Greeley [361]

Answer:

How many items did Bob produce last week? 32 items.

Step-by-step explanation:

(1) Last week Bob was paid total of $480 for the items that he produced that week.

(2) This week Bob produced 2 items more than last week and was paid a total of $510 for the items that he produced this week.

a) Let's start with the simplest case:  he produced 36 or less items this week.

In this case he produced less than 36 items last week too.

So he was paid the same amount of dollar per item.

Using (1) and (2) assumptions we have:

$480+2X=$510

⇒2X=$510-$480

⇒2X=$30

⇒2X=$30/2

⇒X=$15

He was paid $15 per item.

Last week he was paid $480.

480/15= 32 items.

This week he was paid $510.

510/15=34 items.

The other cases has no solutions.

7 0
3 years ago
A bottle filled with juice weighs 8 pounds. One morning, George drank 2/3 of the juice in the filled bottle. The bottle and the
Marysya12 [62]
The remaining weight of the empty bottle is 0.5 because each third of the bottle weighs 2.5 pounds and of the remaining juice and the bottle was 3 pounds 2.5 subtracted from 3 is 0.5
8 0
3 years ago
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