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marshall27 [118]
2 years ago
15

What is the volume of the following rectangular prism?

Mathematics
1 answer:
sineoko [7]2 years ago
7 0

Answer:

Step-by-step explanation:

It's going to be a mixed number.

Givens

L = 4 units

w*h = 2 1/8 units^2

V=L* (w*h)

V = 4 * (2 1/8)

V = 8 1/2

Where did the 1/2 come from?

You could write 2 1/8 as 2 + 1/8 and use the distributive property.

4(2 + 1/8)

4*2 + 4 * 1/8

8 + 4/8

4/8 = 1/2

8 1/2

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When multiplying and dividing two numbers in scientific notation, why do u sometimes have to rewrite one factor ?
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You sometimes need to rewrite a factor because the lead number is not between 1 and 10 as it needs to be in scientific notation. For instance, if we had lead numbers of 2 and 5, as we do in the following problem.

2x10^3 * 5x10^9

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9.72÷9 ___________________​
goldenfox [79]

Answer:

1.08

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3 years ago
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The volume of a sphere whose diameter is 18 centimeters is how many cubic centiemters
Arturiano [62]

Answer:

3053.63 cm^3

Step-by-step explanation:

Volumme of a sphere =  \frac{4}{3}\pi*r^3.

We do not have the radius of the sphere, but we have its diameter.

We know that there is a relationship between radius and diameter.

d = 2r\\r = \frac{d}{2}

Then the formula of the volume of a sphere according to its diameter is:

\frac{4}{3}\pi (\frac{d}{2}) ^ 3\\\\\frac{4}{3}\pi(9)^3 = 972\pi = 3053.63 cm^3\\\\

3 0
3 years ago
Adult tickets to the fall play cost $6 and student tickets cost $3. The drama class sold 25 more student tickets than adult tick
svlad2 [7]

9514 1404 393

Answer:

  • 90 student tickets
  • 65 adult tickets

Step-by-step explanation:

For many "mixture" problems, it is convenient to use a variable for the quantity of the highest contributor. Here, we can use 'a' to represent the number of adult tickets, because adult tickets cost the most. Then the number of student tickets is (a+25), and the total revenue is ...

  6a +3(a+25) = 660

  9a +75 = 660

  9a = 585

  a = 65

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The drama class sold 90 student tickets and 65 adult tickets.

6 0
3 years ago
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