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Gnom [1K]
3 years ago
11

A teacher is buying pencils for her classroom. If a dozen pencils cost $0.97, how many pencils can she purchase with $5?

Mathematics
1 answer:
mixas84 [53]3 years ago
6 0

Answer:

The teacher can purchase 61 pencils with $5

Step-by-step explanation:

This is a simple proportion problem. It can be solved by pure logic reasoning without any formulas

It a dozen pencils cost $0.97, each pencil cost $0.97/12=0.08083

With $5 she will be able to purchase 5/0.08083=61.85 pencils

We must round to the nearest lower integer

The teacher can purchase 61 pencils with $5

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If f(x) = 2X-1 + 3 and g(x) = 5x - 9, what is (f-g)(x)?
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Answer:

2x − 5x + 11

Step-by-step explanation:

4 0
4 years ago
Light travels at a speed of about 186,000 miles per second. How far does light travel in 5 second? Use repeated addition to solv
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Answer:

Step-by-step explanation:

The speed of light in a vacuum is 186,282 miles per second (299,792 kilometres per second), and in theory nothing can travel faster than light. In miles per hour, light speed is, well, a lot: about 670,616,629 mph. If you could travel at the speed of light, you could go around the Earth 7.5 times in one second.

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4 years ago
How many quarts are in 10 1/2 gallons
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3 years ago
Determine the constant of Proportionality in the situation below
9966 [12]

a constant of proportionality is a number you have to multiply x by to get y.

y=kx is the equation that expresses the proportionality of x and y

in this case, 10 video games cost $145

the question's basically asking what you have to multiply 10 by to get 145

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4 0
3 years ago
Please help me with this question!! I also need the steps
e-lub [12.9K]

Hi there!

\large\boxed{x = \frac{\pi}{3} \text{ and } \pi}

We are given:

cos(7x)cos(4x) = -1 - sin(7x)sin(4x)

Begin by moving all terms with variables to one side:

cos(7x)cos(4x) + sin(7x)sin(4x) = -1

The corresponding trig identity is cos(A - B). Thus:

cos(7x - 4x) = cos(7x)cos(4x) + sin(7x)sin(4x) = -1

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3x = π

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8 0
3 years ago
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