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yan [13]
3 years ago
15

A company wants to manufacture rolls of toilet paper. The toilet paper roll is in the shape of a hollow cylinder with a diameter

of 4.75 inches. The thickness of the paper is 1.7 inches. The height of the toilet paper roll is 3.9 inches. The toilet paper costs $.02 per cubic inch. How much will it cost to manufacture 50 rolls of toilet paper?
Mathematics
1 answer:
serg [7]3 years ago
4 0

Answer:

$ 40.6 to make the 50 rolls of toilet paper

Step-by-step explanation:

We have that the diameter of every cylinder is 4.75 inches, therefore the gap would be that value minus the thickness of the paper, like this:

4.75 - 1.7 = 3.05

3.05 inches would be the diameter of the hole.

Now, to know the volume of the paper, we would have to calculate the total volume and then subtract the volume of the hole.

First we calculate the radii:

r = d / 2

r1 = 4.75 / 2

r1 = 2.375 in

r2 = 3.05 / 2

r2 = 1.525 in

Now if we calculate the volumes

Total volume:

Vt = pi * (r ^ 2) * h

Vt = 3.14 * (2,375 ^ 2) * 3.9

Vt = 69.08 in ^ 3

Hollow volume

Vh = 3.14 * (1,525 ^ 2) * 3.9

Vh = 28.48 in ^ 3

We subtract:

Vt - Vh = 69.08- 28.48 = 40.6

40.6 in ^ 3 would be the volume of the toilet paper

We need to know what it costs to create 50, we know it costs $ 0.02 per cubic inch

Then it would be:

40.6 * 0.02 = 0.812

In other words, making one costs $ 0.812, so making 50 would cost:

0.812 * 50 = 40.6

In other words, it costs $ 40.6 to make the 50 rolls of toilet paper

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krek1111 [17]

Answer:

m = 11

Step-by-step explanation:

Since the points are collinear then the slope between points are equal.

Calculate the slope m using the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (5, 1) and (x₂, y₂ ) = (1, - 1)

m = \frac{-1-1}{1-5} = \frac{-2}{-4} = \frac{1}{2}

Repeat with

(x₁, y₁ ) = (1, - 1) and (x₂, y₂ ) = (m, 4)

m = \frac{4+1}{m-1} = \frac{5}{m-1} = \frac{1}{2}

Cross- multiply

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8 0
3 years ago
What is the first step In solving a question with variables on both sides
chubhunter [2.5K]

Answer:

  • Identify the variable term on one side and subtract it from both sides.

Step-by-step explanation:

We assume the question relates to terms containing the variable you want to solve for.

In general, you want to rearrange the equation so there is only one term containing the variable of interest. This can be accomplished by identifying the variable term(s) on one side of the equation and subtracting that from both sides of the equation.

For <u>example</u>, consider ...

  ax + b = cx + d

<u><em>First step</em></u>

Terms ax and cx are on opposite sides of the equal sign. If we're solving for x, we need to remove one of those terms. We can do that by subtracting cx from both sides of the equation:

  ax -cx +b = cx -cx +d  . . . . . showing the subtraction

  x(a -c) +b = d . . . . . . . . . . . . .the simplified result of the subtraction

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<em>Additional comment</em>

Please note that the coefficient of the variable is now (a-c). This will be <em>positive</em> if the term we subtracted (cx) had the smaller of the two coefficients (c < a). While not essential, this is a convenient choice to make when choosing which term to subtract.

8 0
3 years ago
Sin(-x)=-sinx for all values x​
Allushta [10]

Answer:

True

Step-by-step explanation:

This is just a general property to know, I don't want to prove it LOL

5 0
3 years ago
Read 2 more answers
Ms. Daffy tells you that the longest side of her right-triangular garden is 26m and one of the sides is 14m. A. She asks you to
ira [324]

Answer:

22m

Step-by-step explanation:

The computation is shown below:

Since it is a right-triangular garden so we use the pythagoreus theorem

As we know that

The C^2 refers to the longest side of the right-triangular garden

So,

a^2 + b^2 = c^2

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a^2 + 196 = 676

a^2 = 480

So a = 22m

Hence, the other side of the garden is 22m

6 0
3 years ago
A merchant buys a television for $125 and sells it for $75 more. what is the percent of markup?
guajiro [1.7K]
Since he sold it for $75 more,

% Mark Up = Mark Up/ Cost Price   * 100%

% Mark Up =   75 / 125 * 100%
            
                   =   0.6  * 100% = 60%

Percent Mark Up = 60%.

Hope this explains it.

4 0
3 years ago
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