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Gekata [30.6K]
3 years ago
13

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

Mathematics
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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Diameter of 6x and height of 2x+5 what is the volume of the cylinder
ikadub [295]

Answer:

V = pi*x^2*(18x - 45)

Step-by-step explanation:

If the diameter is 6x and the height is 2x + 5, we know that the radius is 3x.

Plugging this info into the volume-of-a-cylinder formula V = pi*r^2*h, we get:

V = pi*(3x)^2*(2x - 5), or    V = pi*(9x^2)(2x -5), or:

V = pi*(18x^3 - 45x^2), or V = pi*x^2*(18x - 45)

3 0
3 years ago
Read 2 more answers
Beth filled 32 jars with paint. If each jar holds 1 pint of paint, how many gallons of paint did Beth use?
Snowcat [4.5K]
I think 4 gallons.
There's 2 pints in 1 quart 
And 4 quarts in 1 gallon.
So, 32/2 = 16 then divided by 4 = 4.
5 0
3 years ago
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Please help me and answer all three parts.
9966 [12]

Answer:

A. 13

B. 58

C. 122

I hope this is correct and im sorry if it isn't.

7 0
3 years ago
HELP. How long is the minor axis for the ellipse shown below?
kifflom [539]

Given:

The equation of ellipse is

\dfrac{(x+4)^2}{25}+\dfrac{(y-1)^2}{16}=1

To find:

The length of the minor axis.

Solution:

The standard form of an ellipse is

\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1      ...(i)

where, (h,k) is center, if a>b, then 2a is length of major axis and 2b is length of minor axis.

We have,

\dfrac{(x+4)^2}{25}+\dfrac{(y-1)^2}{16}=1      ...(ii)

On comparing (i) and (ii), we get

b^2=16

Taking square root on both sides.

b=\pm 4

Consider only positive value of b because length cannot be negative.

b=4

Now,

Length of minor axis = 2b

                                  = 2(4)

                                  = 8

So, the length of minor axis is 8 units.

Therefore, the correct option is B.

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Vilka [71]
Miguel spent the most of his savings.
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3 years ago
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