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kherson [118]
3 years ago
5

Julia has saved 108 sand dollars and wants to give them away equally to x friends. Write an expression to show how many sand dol

lars each of Julia’s friends will receive. Then, find the total number of sand dollars each of Julia’s friends will get if Julia gives them to 12 friends.
Mathematics
1 answer:
Xelga [282]3 years ago
3 0

Answer:

  • s = 108/x . . . . s = sand dollars each friend gets
  • each of the 12 friends gets 9 sand dollars

Step-by-step explanation:

The point of a fraction is to express the size of something that has been divided into a number of parts equal to the denominator. For example, 1/3 represents the amount when 1 unit is divided into 3 parts.

Here, Julia has 108 that she wants to divide into x parts. The fraction 108/x will tell the size of each part.

__

When x=12, the fraction becomes 108/12 = 9/1 = 9. Each friend gets 9 sand dollars.

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nata0808 [166]

I suspect 4/2 should actually be 4/3, since 4/2 = 2, while 4/3 would make V the volume of a sphere with radius r. But I'll stick with what's given:

\displaystyle \frac{dV}{dr} = \lim_{h\to0} \frac{2\pi(r+h)^3-2\pi r^3}{h}

\displaystyle \frac{dV}{dr} = 2\pi \lim_{h\to0} \frac{(r^3+3r^2h+3rh^2+h^3)- r^3}{h}

\displaystyle \frac{dV}{dr} = 2\pi \lim_{h\to0} \frac{3r^2h+3rh^2+h^3}{h}

\displaystyle \frac{dV}{dr} = 2\pi \lim_{h\to0} (3r^2+3rh+h^2)

\displaystyle \frac{dV}{dr} = 2\pi \cdot 3r^2 = \boxed{6\pi r^2}

In Mathematica, you can check this result via

D[4/2*Pi*r^3, r]

3 0
3 years ago
Hollis put a layer of boxes in the bottom of a container. Each box has a volume of 1 cubic foot. The base layer of boxes in the
nignag [31]

Answer:

288 ft³

Step-by-step explanation:

Given that

The volume of each box is 1 cubic foot

And, Hollies required 8 of these layers

Now based on the above information

We assume that the dimension of the base layer is 6 by 6

So, the volume of the container is

= Length × Width × Height

where,

Length = 6 ft

Width = 6 ft

And, Height = 8 ft

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3 0
3 years ago
What is the volume of a rectangular prism when the measures are multiplied by 4?
koban [17]

Answer: A. 3072 cm³

Step-by-step explanation:

The formula for determining the volume of a rectangular prism is expressed as

Volume = length × width × height

Looking at the diagram,

Length = 6 cm

Width = 4 cm

Height = 2 cm

When the measures are multiplied by 4, then

Length = 6 × 4 = 24 cm

Width = 4 × 4 = 16 cm

Height = 2 × 4 = 8 cm

Therefore,

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6 0
3 years ago
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A sprinkler sprays a section of 200 degrees with a radius of water reaching 5 meters.
beks73 [17]

Answer: The area that it covers is 78.53 square meters

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Area of a circle (A): π r²

Where:

r = radius (in our case is 5 meters)

So, replacing with the values given:

A= π (5)² = π 25 =78.53 square meters

In conclusion, the area that it covers is 78.53 square meters

Feel free to ask for more if needed or if you did not understand something.

7 0
3 years ago
I need help I’ve been trying to figure this one out could get it
erastovalidia [21]

Answer:

The result is 7.8 * 10^3

Step-by-step explanation:

When we are dividing in scientific notation, divide the numbers in front

7.8/1 = 7.8

Subtract the exponents on the powers of 10

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The result is 7.8 * 10^3

3 0
3 years ago
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