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miskamm [114]
3 years ago
10

A machine stamps 330 parts in 11 minutes. Find the unit rate in parts per hour.

Mathematics
1 answer:
zavuch27 [327]3 years ago
5 0

Answer:

1,800 parts per hour

Step-by-step explanation:

330 parts = 11 min

330/11=30

30 parts = 1 min

60 min = 1 hour

30x60min=1,800

1,800 parts per hour

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forsale [732]
The first answer is C. The information may be in a form that is difficult to use. And the second on is D. They must always be used with an equation.
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3 years ago
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The height, h, in feet of a rock above the ground is given by the equation h = -16t^2 + 24t + 16, where t is the time in seconds
boyakko [2]

The rock will hit the ground at 2 seconds.

Explanation:

Given that the height, h, in feet of a rock above the ground is given by the equation h=-16t^2+24t+16, where t is the time in seconds after the rock is thrown.

We need to determine the time at which the rock will hit the ground.

To determine the time, let us equate the height h = 0 in the equation h=-16t^2+24t+16, we get,

0=-16t^2+24t+16

Switch sides, we have,

-16 t^{2}+24 t+16=0

Let us solve the equation using the quadratic formula.

Thus, we have,

t=\frac{-24 \pm \sqrt{24^{2}-4(-16) 16}}{2(-16)}

Simplifying, we get,

t=\frac{-24 \pm \sqrt{576+1024}}{-32}

t=\frac{-24 \pm \sqrt{1600}}{-32}

t=\frac{-24 \pm 40}{-32}

Hence, the two values of t are

t=\frac{-24 + 40}{-32}   and   t=\frac{-24 -40}{-32}

Simplifying the values, we get,

t=\frac{16}{-32}  and  t=\frac{-64}{-32}

Dividing, we get,

t=-\frac{1}{2}  and  t=2

Since, t cannot negative values, we have,

t=2

Thus, the rock will hit the ground at 2 seconds.

8 0
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marta [7]

Answer:

3

Step-by-step explanation:

The goal is to get the x to be on one side of the equation on its own.

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To get rid of the -6, we would have to do the opposite of what it's doing in the equation - in this case, we would divide, as it's the opposite of multiplying.

What we do to one side of the equation, we have to do to the other.

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Hope that makes sense!

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