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3 years ago

20 gallons = ______ quarts

Mathematics

1 answer:

Nana76 [90]3 years ago

7 0

20 gallons = 80 liquid quarts

explanation:

1 gallon = 4 quarts

20 gallons x 4 quarts = 80 quarts

hope this helps :)

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Answer:

The time Don estimated for the job, in hour, is 24 hours

Step-by-step explanation:

Based on his regular hourly rate, Don had estimated :

Estimated cost (C) = $336

Estimated hour of work = $x$

So, estimated rate in hour (R) = $\frac{336}{x}$

In fact, it took him 4 hours longer than he estimated, therefore

Factual hour of work = ${x+4}$

Factual rate in hour (F) = $\frac{336}{x+4}$

He earned $2 less than his regular hourly rate, hence the factual rate (F) is the subtraction of estimated rate (R) by 2

F = R - 2

Then, substitute F and R,

$\frac{336}{x+4}$ = $\frac{336}{x} - 2$

$\frac{336}{x+4}+2$ = $\frac{336}{x}$

$x(\frac{336}{x+4}+ \frac{2(x+4)}{x+4}) = 336$

$x(336+2(x+4))$ = $336 (x+4)$

$336x+2x^{2} +8x = 336x+336*4$

since at the both sides have $336x$ , we can removed it.

$2x^{2} + 8x = 336 * 4$

devide both sides by 2, thus

$x^{2} +4x = 336 * 2$

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Make the algebra function equal to 0 by moving the 672 to the left side.

$x^{2} +4x - 672 = 0$

factorize the function above,

the factor of 672 is 24 and 28, because if it's multiplied it becomes 672 and if it's subtracted equal to 4. since $4x$ is positive, the higher number (28) should be in positive. Therefore we conclude that

$(x+28)(x-24)$ = 0

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We takes the positive result, because the time is in positive. so, the estimated time is 24 hours

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4 years ago

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how many even numbers less than 1000 can be formed from the given digits 0,2,3,5; if repetition is not allowed ?

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2 years ago

20 gallons = ______ quarts​

20 gallons = ______ quarts