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Eddi Din [679]
3 years ago
10

A pool is being drained at a rate of 120 gallons per minute. what is this rate in quarts per hour?

Mathematics
1 answer:
mario62 [17]3 years ago
6 0
 So,

120 gal./min.

There are 4 qt. in a gal.

Multiply 120 by 4.
120(4) = 480 qt.

The pool is being drained at a rate of 480 qt./min.

Now, since there are 60 min. in an hr., multiply 480 by 60.
480(60) = 28,800 qt./hr.

The pool is being drained at a rate of 28,800 qt./hr. (quarts per hour)
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Mary stated that 2.01 x 10⁶ is less than 4.8 x 10⁴ because 2.01 is less than 4.8. what was mary's mistake ?
katrin [286]

Answer:

Step-by-step explanation:

Scientific notation is always written as a number between 1 and 9.9999999 repeating. There follows a power of 10. I'm not sure which answer would help you see it clearer but

4.8 * 10^4 the decimal is shifted 4 places the right which is 48000 where you have no numbers, you use zeros.

2.01 * 10^6 means that you shift the decimal 6 places to the right.

2010000

So 2 million is larger than 48 thousand.

The other way to do it is just to look at the power. 6 is more than 4. 6 describes the number of places you move. So does 4. 6>4 so that's the larger number.

4 0
3 years ago
A cylinder has a radius of 5cm and a height of 9cm find its total area
Sauron [17]

Answer: 706.5

Step-by-step explanation:

First you have to square the radius. So for this question you multiply 5x5. That makes 25. Then you multiply that with pi ( 3.14 ) and that makes 78.50. Next you multiply it by 9, that makes 706.5.

7 0
3 years ago
Choose the answer that best describes the graph.
Aneli [31]
The correct answer would be B

Why this would be correct is that time fever dtipsbit is always going so that consists of the elevator still moving
7 0
2 years ago
In a right triangle, the acute angles measure ×+15 and 2× degrees. What is the measure of the larger acute angle of the triangle
harkovskaia [24]

Sum of angles in a triangle is 180°


90 + (x + 15) + (2x) = 180

90 + x + 15 + 2x = 180

105 + 3x = 180

3x = 180 - 105

3x = 75

x = 75 ÷ 3

x = 25


Smaller angle = x + 15 = 25 + 15 = 40°

Larger angle = 2x = 2(25) = 50°


Answer: 50°


5 0
3 years ago
Find the following ratios. Write each answer as a fraction and as a decimal rounded to four decimal places.
Alona [7]

Answer:

y = 56.6208

Step-by-step explanation:

Given

The attached triangle

Required

Find y

To find y, we make use of the relationship between sides lengths 44 & y and angle 39

The relationship is:

cos(39) = \frac{44}{y}

i.e.

cos(\theta) = \frac{Adjacent}{Hypotenuse}

Make y the subject

y = \frac{44}{cos(39)}

y = \frac{44}{0.7771}

y = 56.6208 -- approximated

5 0
3 years ago
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