Mathematics
05.06.2021 13:54
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Helpppp ! preston can paint 375 square feet in 3 hours . at the same rate how long

Helpppp ! preston can paint 375 square feet in 3 hours . at the same rate how long would it take him to paint 812.5 square feet ?

a ; 0.15 hours
b ; 1.4 hours
c ; 7.5 hours
d ; 6.5 hours
Helpppp !

preston can paint 375 square feet in 3 hours . at the same rate how long would it take
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sierrabuckner645
sierrabuckner645
4,6(76 marks)

It would take D.)6.5 hours to paint 812.5 square

Step-by-step explanation:

okokalyssa
okokalyssa
4,4(28 marks)

the simplified form is

\frac{x^2(2x+3)}{2(4x-3)}

step-by-step explanation:

we want to simplify the expression,

\frac{\frac{6x+9}{15x^2} }{\frac{16x-12}{10x^4} }

let us change the middle bar to a normal division sign to obtain,

\frac{6x+9}{15x^2}\div\frac{16x-12}{10x^4}

we multiply the first fraction by the reciprocal of the second fraction to obtain,

\frac{6x+9}{15x^2}\times \frac{10x^4}{16x-12}

we factor to obtain,

\frac{3(2x+3)}{3\times5\times x^2}\times \frac{2\times5\times x^2\times x^2}{4(4x-3)}

we cancel the common factors to get,

\frac{(2x+3)}{1}\times \frac{ x^2}{2(4x-3)}

we simplify to get,

\frac{x^2(2x+3)}{2(4x-3)}

the correct answer is b

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