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emmainna [20.7K]
2 years ago
7

8

Mathematics
1 answer:
Alik [6]2 years ago
3 0

Answer:

<em>123 pens in Box A</em>

Step-by-step explanation:

To solve this we will rewrite the word problem as an equation...

5x (A)

x (B)

When Teddy moves 82 pens from A to B, he is subtracting 82 pens from Box A and adding 82 pens to Box B...

5x - 82 (Change in Box A - subtraction)

x + 82 (Change in Box B - addition)

The problem now states that Box A and Box B are equal...

5x - 82 = x + 82

--- subtract x from both sides ---

4x - 82 = 82

--- add 82 to both sides ---

4x = 164

--- divide both sides by 4 ---

x = 41 pens

Now, we replace the x in the expression "5x - 82" with 41...

5(41) - 82 = 205 - 82

205 - 82 = 123

123 pens in Box A

Hope this Helps!

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Two cylinders are shown below which cylinder has a greater volume use 3.14 for pi
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Answer:

Cylinder Q has a greater volume

Step-by-step explanation:

For this question we need to utilise the volume of a cylinder which is

→ Volume of a cylinder = π × r² × h

Let's substitute in the values and then do the analysis

<u>Cylinder P</u>

→ Volume of a cylinder = π × r² × h

⇒ Substitute in the values

→ Volume of a cylinder = π × 4.25² × 14

⇒ Simplify

→ Volume of a cylinder = 794.430242277

<em>The volume of cylinder P is 794.430242277</em>

<em>-------------------------------------------------------------------------------------------------------</em>

<u>Cylinder Q</u>

→ Volume of a cylinder = π × r² × h

⇒ Substitute in the values

→ Volume of a cylinder = π × 7² × 8.5

⇒ Simplify

→ Volume of a cylinder = 1308.47334022

<em>The volume of cylinder Q is 1308.47334022</em>

<em>-------------------------------------------------------------------------------------------------------</em>

We can see that cylinder Q has a greater volume

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Volume = 3 x 6 x 2 = 36 cubic inches.

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Since it is parallel to the x- axis then slope = 0

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go to 100

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Step-by-step explanation:

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