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kolbaska11 [484]
3 years ago
13

A large container holds 8 gallons of water. After 56 minutes the container only has 1 gallon of water left. At what rate is the

water leaking. gal/min​
Mathematics
1 answer:
Korvikt [17]3 years ago
4 0

Answer:

The rate at which water leaking is \frac{1}{8} gal/min.

Step-by-step explanation:

Given:

A large container holds 8 gallons of water.

After 56 minutes the container only has 1 gallon of water left.

Now, to find at what rate is the water leaking.

So, water leaked from the container = 8 gallons - 1 gallon = 7 gallons.

Time taken for leakage = 56 minutes.

<em>Now, to get the rate:</em>

\frac{Gallons\ of\ water\ leaked}{Time\ taken\ for\ leakage}

=\frac{7 gallons}{56 minutes}

=\frac{1 gallon}{8 minutes}

The rate = \frac{1}{8} gal/min.

Therefore, the rate at which water is leaking is \frac{1}{8} gal/min.

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The length of a rectangle is twice its width. If the perimeter of the rectangle is 54 in, find its area.
sergiy2304 [10]

Answer: 162 in²

Step-by-step explanation:

The factors of 54 are listed below:

  • 1
  • 2
  • 3
  • 6
  • 9
  • 18
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18 and 9 are the two factors that when plugged into the equation below, equals 54:

l+l+w+w=P

This can also be written as:

(l*2)+(w*2)=P

So now that we have our two factors, we need to multiply them by each other to get our answer.

18 times 9 = 162

Our answer is 162

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3 years ago
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Equation that represents the line that passes through the point (-2,-1) and has a slope of 5
ss7ja [257]
Straight line:
y = mx + c
m is the slope of the graph and c is the y-intercept
In this case, m = 5 as stated in the question, so...
y = 5x + c
By substituting the given co-ordinates (-2,-1) into this equation, we can find c
-1 = 5(-2) + c
-1 = -10 + c
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Students are given 3 minutes to complete each multiple-choice question on a test and 8 minutes for each free-response question.
weqwewe [10]

Answer:

8(15-m)

Step-by-step explanation:

By looking at the options, we can understand that the right one is 8(15-m), since we need to multiply the time by the number of question.

Also, we can check that result by arranging an equations usint the total time.

55 = 3m - 8(15-m)

55 = 3m - 120 + 8m

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m = 175/11 = 15.91

55 = 3*15.91 - 8(15-15.91) = 47.73 - 120 + 127.28 = 55.01 ≈ 55

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Draw a picture of the number 100?
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