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Gennadij [26K]
3 years ago
10

What is the volume of the prism?

Mathematics
2 answers:
vazorg [7]3 years ago
7 0

Answer:

13 1/8ft³

Step-by-step explanation:

Formula for calculating the volume of a prism is base area × height

Volume = Bh where;

B is the base area

h is the height

Since the base of the prism is rectangular in shape, we will find the area of the rectangle to get the base area.

Base area = length×breadth

Base area = 2 1/2ft × 3 1/2ft

Base area = 5/2×7/2

Base area = 35/4ft²

Since height = 1 1/2ft = 3/2ft

Volume of the prism = 35/4×3/2

Volume of the prism = 105/8ft³

As a mixed number will give;

Volume of a prism = 13 1/8ft³

Arlecino [84]3 years ago
3 0
The answer would be 7 1/2 because you would add 1 1/2, 2 1/2,3 1/2 so there you go
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Miguel and three of his friends went to the movies. They originally had a total of $40. Each boy had the same amount of money an
Alenkasestr [34]

Answer:

The money each boy had after buying his ticket is <u>$2.50</u>.

Step-by-step explanation:

Given:

Miguel and three of his friends went to the movies. They originally had a total of $40. Each boy had the same amount of money and spent $7.50 on a ticket.

Now, to find the money each boy had after buying his ticket.

Let the money each boy had after buying his ticket be x.

Total number of boys = 4.

Total money they had = $40.

Money each boy spent = $7.50.

Now, to write an equation:

4(x+7.50)=40

Now, to solve the equation for getting the money each boy had after buying his ticket:

4(x+7.50)=40

4x+30=40

<em>Subtracting both sides by 30 we get:</em>

4x=10

<em>Dividing both sides by 4 we get:</em>

x=\$2.50.

Therefore, the money each boy had after buying his ticket is $2.50.

3 0
3 years ago
16x -7&lt;-71<br><br><br> Please Help
saw5 [17]

Answer:

x<-4

Step-by-step explanation:

16x  - 7 <  - 71 \\ 16x <  - 71  + 7 \\ 16x <  - 64 \\ x <  - 4

4 0
3 years ago
Mario was making cookies. He mixed 2½ cups of flour, 1¼ cups of sugar and ½ cup of brown sugar together in a bowl. How many cups
STatiana [176]

Answer:

4 1/4

Step-by-step explanation:

2 1/2 + 1 1/4 + 1/2 = 5/2 + 5/4 + 1/2

LCM = 4

5/2 x 2/2 = 10/4

5/4 = 5/4

1/2 x 2/2 = 2/4

10/4 + 5/4 + 2/4 = 17/4

                          = 4 1/4

Therefore he put 4 1/4 cups altogether.

7 0
3 years ago
Find the volume of the given shape. Round your answer to the nearest<br> hundredth if necessary
xz_007 [3.2K]

Answer:

volume of sphere =4/3πr^3=4/3*22/7*6*6*6=905.14m^3

4 0
3 years ago
Find the values of &lt; and y.<br> (8x + 7)<br> 5yº<br> (7y -- 34)<br> = (2x - 4)^
Lilit [14]

Answer:

x = 11

y = 17

Step-by-step explanation:

We know that opposite angles (or vertical angles) are equal.

So

8x + 7 = 9x - 4

Subtract 8x from both sides of the equation

8x - 8x + 7 = 9x - 8x - 4

7 = x - 4

Add 4 to both sides of the equation

7 + 4 = x - 4 + 4

11 = x

Looking at the other 2 angles,

5y = 7y - 34

Subtract 7 y from both sides of the equation

5y - 7y = 7y - 7y - 34

-2y = -34

Divide both sides by -2

-2y/-2 = -34/-2

y = 17

6 0
3 years ago
Read 2 more answers
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