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astra-53 [7]
3 years ago
10

The gas tank is 20% full. the volume is 288.75. at $3.00 per gallon of gas, find the cost to fill the tank. (1 gal = 231 in.33)

Mathematics
2 answers:
alexdok [17]3 years ago
8 0
Use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8
----------  =    ------
288.75            x
                                                               231 gal
So, 0.2x = (0.8)(288.75 gal), and x = ----------------- = 1155 gal.
                                                                 0.2

It would take 1155 gal. to fill the tank.

The cost would be

1155 gal        $3
------------ * ---------- = $3465  (answer)
       1           1 gal
Ede4ka [16]3 years ago
8 0

Answer:

The cost to fill the tank is $ 0.75.

Step-by-step explanation:

Given,

The volume of the gas tank = 288.75 in³,

Since, 20 % of tank is full by the gas,

⇒ The total gas in the tank = 20 % of the volume of the tank

= 20 % of 288.75

= 0.2 × 288.75

= 57.75 in³

= 0.25 gallon ( 1 gal = 231 in³ ⇒ 1 in³ = 1/231 gallon ),

According to the question,

The cost of 1 gallon of gas = $ 3.00

⇒ The cost of 0.25 gallon of gas = 0.25 × 3.00 = $ 0.75

Hence, the cost to fill the tank is $ 0.75.

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6 0
3 years ago
4 divided by 1/3 is 12 becuase
Alex17521 [72]

Answer:

12

Step-by-step explanation:

When we divide fractions we multiply instead since it's the opposite of division and we do the reciprocal. Reciprocal means we flip the fraction from 1/3 to 3/1

So:

4÷1/3 would become 4×3/1

4×3/1 is the same as 4×3

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That's why the answer is 12.

8 0
2 years ago
What is the domain and range for the following function and its inverse? f(x) = -x + 5
iren2701 [21]

Answer:

Domain: \mathbb{R}

Inverse: f^{-1}(x) = -x + 5

Step-by-step explanation:

Since this is a linear function, the domain and range is simply the set of real numbers.

The inverse is obtain by switching the places of x and y, then solving for y.

Here,

y = -x + 5

So switching x and y,

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5 0
4 years ago
Read 2 more answers
When Vlad moved into his home a few years ago, there was a young oak tree in his backyard. He measured it once a year and found
ivanzaharov [21]

Answer:

175 cm

7 years

Step-by-step explanation:

Here is the complete question

When Vlad moved to his new home a few years ago, there was a young oak tree in his backyard.

He measured it once a year and found that it grew by 26 centimeters each year. 4.5 years after he moved into the house, the tree was 292 centimeters tall.

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 2. How many years passed from the time Vlad moved in until the tree was 357 centimeters tall?

The formula for calculating future value:

FV = P + (r x n)

FV = Future height of the tree

P = Present height of the tree

R = growth rate

N = number of years

292 = p + (26 x 4.5)

292 = p + 117

p = 292 - 117

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b. 357 = 175 + (26 x n)

375 - 175 = 26n

182 = 26n

n = 182 / 26 = 7 years

7 0
3 years ago
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8 0
4 years ago
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