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marin [14]
3 years ago
5

A can of spaghetti has a diameter of 12 cm and a height of 16 cm. The can contains spherical meatballs, each with a radius of 3

cm, that take up 25% of the volume.
How many meatballs are in the can?

Use 3.14 to approximate pi and express your answer as a whole number.
Mathematics
1 answer:
Nostrana [21]3 years ago
3 0
Hey there, the radius of the can is 1/2 of 12 cm=6 cm, the volume of the can is pi r^2h=Pi 6^{2}16=1809.5573cm3, Now, the volume of the meatball is 4/3 pi r^{3}=4/3 pi 3^{3}=113.09734, Then, 25% of the can=1809.5573/4=452.389325, The meatballs in area=25% of can over volume of meatballs=452.389325/113.09734=4 meatballs, Therefore, the answer is 4 meatballs.
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What value of x satisfies the equation 5(x – 3) – 2(x + 1) = 4?
hjlf

Answer:

x = 7

Step-by-step explanation:

To solve:

Distribute 5 among everything inside the first parentheses. You'll get 5x - 15.

Next distribute -2 among everything in the second parentheses. You'll get

-2x - 2.

<u>All together: 5x - </u><u>15</u><u> </u><u>-</u><u>2x </u><u>-</u><u> </u><u>2</u><u> </u><u>= 4</u>

Now combine like terms:

5x - 2x = 3x and -15 - 2 = - 17

<u>All</u><u> </u><u>together</u><u>: 3x -</u><u> </u><u>17 = 4</u>

Add 17 on both sides to get 21, and then divide both sides by 3. Answer is x = 7.

________________________________

Last, don't forget to check your work.

You can plug in 7 for x to get:

5(7 - 3) = 20

5 × 7 = 35

5 × -3 = -15

35 - 15 = 20

-2(7 + 1) = -16

-2 × 7 = -14

-2 × 1 = - 2

-14 -2 = -16

<u>20 - 16 = 4</u>

⬆⬆⬆Therefore this is correct.

Sorry this is a bit lengthy, but hope this helps :)

5 0
3 years ago
Find the value of x and 3x.
kozerog [31]

Answer:

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Step-by-step explanation:

Split the shape in half through the plane of 3x and x.

We can find the angle of x/2 is 45°.

Since x/2 = 45°, then we can fid that x=90°.

To find 3x, we simply multiply 90° 3 times.

So 3x = 270°.

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What is combined mean
FromTheMoon [43]
Combined in mathematics is to add together to find a total. If you combine 1 and 2 you get 3.
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When combining like terms what is -10r - 5r put together?
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Answer:

-15r

Step-by-step explanation:

8 0
3 years ago
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