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vagabundo [1.1K]
4 years ago
15

What is 166674 divide by 765

Mathematics
1 answer:
jenyasd209 [6]4 years ago
5 0
166,674 ÷ 765 is equal to 217.8745098039

simplify as needed
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A large truck has two fuel tanks, each with a capacity of 150 gallons. Tank 1 is half full, and Tank 2 is empty.
12345 [234]

Answer:

1) G(t) = 75 + \frac{23}{4}t\\

2) After 8 minutes delivering fuel the tanks will have 121 gallons of fuel

Step-by-step explanation:

1) For generating the equation we have to take into account that in the tanks there is a initial volume of fuel that corresponds to 75 gallons, as it is stated that tank one is half full. As the capacity for tank 1 is of 150 gallons, half of the tank equals to:

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Now we have to convert the rate of delivery that is expressed as a mixed number to an improper fraction so:

5\frac{3}{4} = \frac{(5x4)+3}{4} = \frac{23}{4}

Then the pumping rate is of 23/4 gallons per minute, to get how many gallons are in the tank we just need to multiply this rate by the time in minutes, and as there is an initial volume we have to add it, so we have the following equation:

G(t) = 75 + \frac{23}{4}t\\

2) To know how much fuel is in the tank after 8 minutes we have to replace this time in the previous equation so we have

G(t) = 75 + \frac{23}{4}t\\G(8) = 75 + \frac{23}{4}(8)\\G(8) = 75 + 23(2)\\G(8) = 75 + 46\\G(8) = 121 gallons

After 8 minutes delivering fuel the tanks will have 121 gallons of fuel

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3 years ago
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Margo freezes 8 cups of strawberries if this is 2/3 of the total strawberries that she picked how many cups of strawberries did
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Answer:

12 cups.

Step-by-step explanation:

Let x be the total cups of strawberries picked by Margo.

We have been given that Margo freezes 8 cups of strawberries and this is 2/3 of the total strawberries that she picked.

We need to find x such that 2/3 of x equals 8. We can represent this information in an equation as:

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Let us multiply both sides of our equation by 3.

3*\frac{2}{3}x=3*8

2x=24

Let us divide both sides of our equation by 2.

\frac{2x}{2}=\frac{24}{2}

x=12

Therefore, Margo picked 12 cups of strawberries.

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3 years ago
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