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snow_lady [41]
2 years ago
8

a generator needs a fixed amount of fuel to keep it running two hours a day. After running for 6 days, the generators fuel tank

was 2/3 full. After 11 more days, 3 1/2 liters of fuel was left in the tank. If the tank was originally full, how much fuel can the tank hold?
Mathematics
1 answer:
statuscvo [17]2 years ago
5 0
<h3>Answer:</h3>

63 liters

<h3>Explanation:</h3>

The amount of fuel used per day is ...

... (1 tank - 2/3 tank)/(6 days) = (1/3 tank)/(6 days) = (1/18) tank/day

Then the amount of fuel used after 6+11 = 17 days is

... (17 days)×(1/18 tank/day) = 17/18 tank

and the amount remaining is ...

... (1 tank -17/18 tank) = 1/18 tank = 3 1/2 liters

To find the tank size, we can multiply this result by 18:

... 1 tank = 18×(3 1/2 liters) = 63 liters

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AleksandrR [38]

Bob need to paint 205 square feet.

Solution:

Length of the door = 7 ft

Breadth of the door = 5 ft

Area of the door = length × breadth

                            = 7 × 5

                            = 35

Area of the door = 35 ft²

The given image is a trapezoid.

Top base = 12 ft

Bottom base = 20 ft

Area of the trapezoid = \frac{1}{2} \times\text{sum of the parallel sides}\times\text{height}

                                    $=\frac{1}{2}\times(12+20)}\times15

                                    $=\frac{1}{2}\times 32\times15

                                    = 240

Area of the trapezoid =  240 ft²

Surface area to paint = Area of the trapezoid – Area of the door

                                    = 240 ft² – 35 ft²

                                    = 205 ft²

Hence Bob need to paint 205 square feet.

6 0
3 years ago
What is the quotient of 5 to the negative 6th power over 5 to the 3rd power
GarryVolchara [31]

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Step-by-step explanation:

5^-6/5^3 hard to show fractions and exponents, but since 5^-6 is a negative exponent you must flip in, or put it on the bottom. So now you have 1 over 5 to the 9th power(1/5^9), or more simplified 1 over 1953125(1/1953125).

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Answer:

5

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6 0
2 years ago
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Step-by-step explanation:

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