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alekssr [168]
3 years ago
7

After Lou poured 2 liters of water into a large bucket, the bucket contained 10 liters of water. How many liters were in the buc

ket to start?
Mathematics
2 answers:
bekas [8.4K]3 years ago
7 0

Answer:

8 liters

Step-by-step explanation:

because after pouring 2 liters bucket was full so we wiil minus 2 from 10

vladimir2022 [97]3 years ago
5 0

Answer:

8 + x = 10

x. = 10 - 8

x. = 2 liters

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It will take 2/3 hour or 40 minutes to fill the tank if both pipes are used.

Let pi be pipe 1 and pi2 be pipe 2

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together = 1/1 + 1/2 ;

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It will take 2/3 hour or 40 minutes to fill the tank if both pipes are used.

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The function f is such that f(x) = 2x/3x+5 The function g is such that g(x) = 3/x+4 Find fg(-5)
White raven [17]

Answer:

f(g(-5)) = \frac{3}{2}

Step-by-step explanation:

Given

f(x) = \frac{2x}{3x+5}

g(x) = \frac{3}{x+4}

Required

Find f(g(-5))

First, we calculate f(g(x))

f(x) = \frac{2x}{3x+5}

Substitute g(x) for x

f(g(x)) = \frac{2g(x)}{3g(x) + 5}

Substitute \frac{3}{x+4} for g(x)

f(g(x)) = \frac{2*\frac{3}{x+4}}{3*\frac{3}{x+4} + 5}

f(g(x)) = \frac{\frac{6}{x+4}}{\frac{9}{x+4} + 5}

f(g(x)) = \frac{6}{x+4}/ (\frac{9}{x+4} + 5})

Take LCM

f(g(x)) = \frac{6}{x+4}/ \frac{9+5x+20}{x+4}}

f(g(x)) = \frac{6}{x+4}/ \frac{5x+29}{x+4}}

Rewrite as multiplication

f(g(x)) = \frac{6}{x+4}* \frac{x+4}{5x+29}}

f(g(x)) = \frac{6}{5x+29}

Substitute -5 for x

f(g(-5)) = \frac{6}{-5*5+29}

f(g(-5)) = \frac{6}{-25+29}

f(g(-5)) = \frac{6}{4}

f(g(-5)) = \frac{3}{2}

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3 years ago
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