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3 years ago

A pump moves 42 gallons in seven minutes. what is the unit rate?

2 answers:

mote1985 [20]3 years ago

8 0

You need to divide both numbers by 7 because you currently know how many gallons are pumped in 7 minutes, and we want to find out how much is pumped in one minute.

42 ÷ 7 = 6.
7 ÷ 7 = 1.

So it pumps 6 gallons per minute.

kupik [55]3 years ago

8 0

The <em><u>correct answer</u></em> is:

6 gallons per minute.

Explanation:

In order to have a unit rate, we must have a rate with a denominator of 1. Our rate is 42/7. To make this a unit rate, we need to divide the denominator by 7. What we do to the denominator, we must also do to the numerator; this means we have (42÷7)/(7÷7) = 6/1. This is a rate of 6 gallons per minute.

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The difference between 783 and 529

erastovalidia [21]

Answer:

254

Step-by-step explanation:

If you subtract both numbers, you will find the answer is 254

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2 years ago

At what point on the graph of y=2e^X -1 is the tangent line parallel to the line y= 5x -1

IgorLugansk [536]

Paralell has same slope
y=mx+b
m=slope
y=5x-1
when is the slope 5?

take the derivitive of 2e^x
f'(2e^x)=2f'(e^x)=2e^x

that is the slope
5=2e^x
divide both sides by 2
2.5=e^x
take the ln of both sides
ln2.5=x

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5 0

3 years ago

Make v the subject of the formula in H=m(v²-u²)/2gx

goldfiish [28.3K]

Answer:

$v=\sqrt{\dfrac{H\times 2gx}{m}+u^2}$

Step-by-step explanation:

The given formula is :

$H=\dfrac{m(v^2-u^2)}{2gx}$

We need to find the formula for v.

Cross multiplying the given formula.

$H\times 2gx=m(v^2-u^2)$

Dividing both sides by m. So,

$\dfrac{H\times 2gx}{m}=\dfrac{m(v^2-u^2)}{m}\\\\(v^2-u^2)=\dfrac{H\times 2gx}{m}$

Adding both sides by u².

$(v^2-u^2)+u^2=\dfrac{H\times 2gx}{m}+u^2\\\\v^2=\dfrac{H\times 2gx}{m}+u^2\\\\\text{So},\\\\v=\sqrt{\dfrac{H\times 2gx}{m}+u^2}$

Hence, this is the required formula.

4 0

2 years ago

There are 4 red, 8 yellow, and 6 blue socks in a drawer. Once a sock is selected, it is not replaced. Find the probability of re

mote1985 [20]

Answer:

11/306

Step-by-step explanation:

Probability is the ratio of the number of possible outcome to the number of total outcome.

Given that there are 4 red, 8 yellow, and 6 blue socks in a drawer where the probability of picking a red, yellow and blue socks be p(r), p(y), and p(b) respectively.

The probability of reaching into the drawer without looking and drawing out 2 blue socks

= 6/(4 + 8 + 6) * 5/(4 + 8 + 5)

= 6/18 + 5/17

= 11/306

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2 years ago

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777dan777 [17]

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3 years ago