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pantera1 [17]
2 years ago
15

A rectangular prism has a base that measures 8 centimeters by 4 centimeters and has a height of 3 centimeters. The prism is fill

ed with ½ centimeter cubes.
A. How many layers of cubes will there be?
B. What is the perimeter of the base of this rectangular prism in centimeters?
Mathematics
2 answers:
suter [353]2 years ago
7 0
A. 6

There will be 6 layers of cubes, since the height is 3 centimeters and the height of the cubes is 1/2

B. 24

The perimeter is the formula 2l+ 2w. With the length and width being 8 and 4, you get 16+8 which is 24 for the perimeter of the base
belka [17]2 years ago
7 0
A. There will be 6 layers of cubes because each cube has a height of 1/2 and 3x2=6

B. The perimeter of the base is 24cm.

2l+2w=p
2(8)+2(4)=p
16+8=p
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How to solve 4/7y-2 = 3/7 + 3/14
lisabon 2012 [21]
Solution

1) Simplify \frac{4}{7y}<span> to </span>\frac{4y}{7}
\frac{4y}{7} <span>−2= </span>\frac{3}{7} + \frac{3}{14}

2) Simplify \frac{3}{7} + \frac{3}{14} <span>to <span>914</span>
</span>\frac{4y}{7} <span>−2= </span>\frac{9}{14}

3) <span>Add 2 to both sides
</span>\frac{4y}{7} = \frac{9}{14} <span>+2
</span>
4) Simplify \frac{9}{14&#10;} <span><span>+2</span> to </span>\frac{37}{14}
\frac{4y}{7} = \frac{37}{14}

5) <span>Multiply both sides by 7
</span><span>4y= </span>\frac{37}{14} <span>×7
</span>
6) Simplify \frac{37}{14} <span><span>×7</span> to </span>\frac{259}{14}
\frac{4y}{7} =\frac{259}{14}

7) Simplify \frac{259}{14}<span> to </span>\frac{37}{2}
\frac{4y}{7} = \frac{37}{2}

8) <span>Divide both sides by 4
</span>y= \frac{37}{2} <span>×4
</span>
9) <span>Simplify <span>2×4</span> to 8
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<span><span>
Hope this helps 

</span></span>
5 0
3 years ago
-6(-4x + 3) = 2(10x + 3)
Naya [18.7K]

Answer:

x = -6/11

Step-by-step explanation:

-6(-4x + 3) = 2(10x + 3)

-6 * -4x = -24x

-6 * 3 = -18

2 * 10x = 20x

2 * 3 = 6

-24x - 18 = 20x + 6

-20x           -20x

-44x - 18 = 6

+18           +18

-44x = 24

-------   ------

 -44      -44

24/-44 = -24/44

-24/44 = -6/22

x = -6/11

8 0
3 years ago
Find the measure of angle 2 if m∠2=4x−26 and m∠4=3x+4
kotegsom [21]
Part A:<span> What is the mean of the data? Show your work. (4 points)</span>

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5 0
3 years ago
Use the trend line to predict what the value of variable N will be when variable M equals 50.
ahrayia [7]

Answer:

N = 10

Step-by-step explanation:

Normally the coordinate system goes:

x axis (horizontal)

y axis (vertical)

Here, we have:

Horizontal axis as "M", and

Vertical axis as "N"

We want to know what N will be when M equals 50.

So, we look at the x-axis and go to M equals 50.

Then we move up until the "trend line". The intersection.

If we move directly left to vertical axis (N variable), we see that it is at the point:

N = 10

So,

When M = 50, N = 10

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a parallel line to that one above, will have the same exact slope, since parallel lines have the same slope.

4 0
3 years ago
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