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lana [24]
3 years ago
7

Determine the unit rate for the following problems : he pumped 54 gallons in 12 minutes

Mathematics
2 answers:
damaskus [11]3 years ago
7 0

they answer is 4.5 gallons per minute ask more

Thepotemich [5.8K]3 years ago
5 0

To find the unit rate, we are essentially going to reduce this ratio down to it's lowest possible terms. So in this case, we are going to find how many gallons are pumped every 1 minute.

To do this, we are going to divide 54 by 12:

\frac{54gallons}{12min}= \frac{4\frac{1}{2}gallons}{min}

So now that we have this in such terms, we can call it a unit rate. Therefore, the unit rate is 4.5 gallons/min.

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3 years ago
A square carpet of side length 9 feet is designed with one large shaded square and eight smaller, congruent shaded squares, as s
Pepsi [2]

Answer:

3\sqrt{3} + 72

Step-by-step explanation:

I attached an image to aid the understanding of the question.

Looking at the image, we see that the 8 shaded parts are congruent, as affirmed in the question as well. And we are told that T = 3, this implies that the area of the square with T as it's side is 9ft². Since all the 8 squares are congruenrt, it means each square has its area to be 9. Therefore, the total area of the 8 shaded squares will be:

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It remains the area of the shaded square with side S.

From the question, we have the following ratio:

\frac{9}{S} = \frac{S}{T}[\tex]But[tex]\frac{9}{S} = \frac{S}{3}[\tex]Multiplying through by 3S we have27 = S² and this gives:[tex]S = \sqrt{27} = 3\sqrt{3}

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Now the areas of S is 3\sqrt{3}

Therefore, the total area of the shaded squares is

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3 0
3 years ago
I will give brainliest to whoever answers this question. Also if you can please explain how you solved it I would appreciate it!
LUCKY_DIMON [66]
The answer is 4.9. 32/26=6/x, cross multiple to get 32x=156, divide by 32 to get x=4.875~4.9
3 0
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