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Karo-lina-s [1.5K]
3 years ago
9

There is 3/4 of pizza leftover from the night before . how many 1/8 portions are there

Mathematics
2 answers:
UkoKoshka [18]3 years ago
6 0
You would convert 3/4 to 6/8 and find how many times 1/8 goes into it and you would get 6.

serg [7]3 years ago
3 0
We want to know how many 1/8's are in 3/4, so we divide.

\sf\dfrac{3}{4}\div\dfrac{1}{8}

Flip the 2nd fraction and multiply:

\sf\dfrac{3}{4}\times\dfrac{8}{1}

Multiply the numerators and denominators together:

\sf\dfrac{3\times8}{4\times1}\rightarrow\dfrac{24}{4}

Divide:

\boxed{\sf6}
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3 years ago
Find the constant of variation if an employee earns $175 for 15 hours work.
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Answer:

11.67

Step-by-step explanation:

6 0
3 years ago
Suppose an airline policy states that all baggage must be box shaped with a sum of​ length, width, and height not exceeding 114
NISA [10]

Answer:

Step-by-step explanation:

Represent the length of one side of the base be s and the height by h.  Then the volume of the box is V = s^2*h; this is to be maximized.

The constraints are as follows:  2s + h = 114 in.  Solving for h, we get 114 - 2s = h.

Substituting 114 - 2s for h in the volume formula, we obtain:

V = s^2*(114 - 2s), or V = 114s^2 - 2s^3, or V = 2*(s^2)(57 - s)

This is to be maximized.  To accomplish this, find the first derivative of this formula for V, set the result equal to 0 and solve for s:

dV

----- = 2[(s^2)(-1) + (57 - s)(2s)] = 0 = 2s^2(-1) + 114s - 2s^2

ds

Simplifying this, we get dV/ds = -4s^2 + 114s = 0.  Then either s = 28.5 or s = 0.

Then the area of the base is 28.5^2 in^2 and the height is 114 - 2(28.5) = 57 in

and the volume is V = s^2(h) = 46,298.25 in^3

7 0
3 years ago
A bike shop rents bikes for $4.50 per hour, plus a $7.50 insurance charge. For how many hours can Peter rent a bike if he has $3
Mandarinka [93]

Answer:

With $30, Peter can afford 5 hours

Step-by-step explanation:

Given

Insurance Charge = $7.5

Charges = $4.5 per hour

Required

Determine the number of hours $30 can afford

First, we need to determine the equation.

<em>Total Charges = Charges per hour + Insurance Charge</em>

Substitute values for Charges per hour and Insurance Charge

Total Charges = 4.5 per hour + 7.5

Let the number of hours be n;

So,

Total Charges = 4.5n + 7.5

To calculate Peter's; substitute 30 for total charges

30 = 4.5n + 7.5

Subtract 7.5 from both sides

4.5n = 30 - 7.5

4.5n = 22.5

Divide both sides by 4.5

n = \frac{22.5}{4.5}

n = 5

Hence;

<em>With $30, Peter can afford 5 hours</em>

3 0
3 years ago
Find the percent of change the original cost was 50. And the new cost is 60
Ivan

Answer:

20%

Step-by-step explanation:

7 0
3 years ago
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