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Greeley [361]
3 years ago
7

A large container holds 8 gallons of water. It begins leaking at a constant rate. After 32 minutes the container has 6 gallons l

eft. At what rate is the water leaking. Express answer as a positive value.​
Mathematics
1 answer:
anzhelika [568]3 years ago
8 0

Answer:

1 gallon every 16 minutes

Step-by-step explanation:

If after 32 minutes the container has 6 gallons left that means it has lost 2 gallons of water. So we now divide the 32 minutes by the 2 gallons of water to get that 1 gallon of water leaks every 16 minutes.


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Mr. Sawyer drove his car from his home to New York at the rate of 45 mph and returned over the same road at the rate of 40 mph.
AveGali [126]

Answer: Time taken by him in going = 8 hours

Time taken by him in returning =  9 hours

Step-by-step explanation:

Let the total distance from home to New York is x miles,

\text{ Since, Time} = \frac{\text{Distance}}{\text{Speed}}

Also, he drove his car from his home to New York at the rate of 45 mph,

⇒ \text{ Time taken by him in going } = \frac{x}{45}\text{ hours}

And, returned over the same road at the rate of 40 mph.

⇒  \text{ Time taken by him in returning } = \frac{x}{40}\text{ hours}

According to the question,

Time taken by him in returning - Time taken by him in going = 30 minutes = 1/2 hours,    ( 1 hours = 60 minutes )

⇒ \frac{x}{40}-\frac{x}{45}=\frac{1}{2}

⇒ \frac{9x}{360}-\frac{8x}{360}=\frac{1}{2}

⇒ \frac{x}{360} = \farc{1}{2}

⇒ 2x=720

⇒ x=360\text{ miles}

Hence, the total distance from home to New York = x miles = 360 miles

⇒ \text{ Time taken by him in going } = \frac{x}{45}\text{ hours}

=\frac{360}{45}=8\text{ hours}

⇒  \text{ Time taken by him in returning } = \frac{x}{40}\text{ hours}

=\frac{360}{40}=9\text{ hours}

3 0
3 years ago
HELP PLEASE BE QUICK
In-s [12.5K]

Answer: it equals 20

Step-by-step explanation:

10 x 20 = 120, hoped this helped.

3 0
3 years ago
Read 2 more answers
Factor completely 2X^3-2x-40
Sholpan [36]
2X^3-2x-40=0
Hope this helps
6 0
3 years ago
When 1480 is divided into 12 equal parts, the remainder is 4. What is a correct way to write the quotient? (3 points)
In-s [12.5K]

Answer:

Depending on what type of math class you are in, or how your teacher taught it, it could be either 12 R:4 or 12 + 1/370.

Step-by-step explanation:

Remainders can be written in two ways, R: [remainder] or the whole number quotient + [remainder number]/[dividend]. For this problem you would have to simplify 4/1480 to 1/370 because 1480/4 equals 370. So, your final answer would be 12 + 1/370 or 12 R:4.

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3 years ago
What's is 1/4 of $27,00
katovenus [111]
The answer will be 675
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3 years ago
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