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guajiro [1.7K]
3 years ago
6

Officials begin to release water from a full man-made lake at a rate that would empty the lake in 6 weeks, but a river that can

fill the lake in 20 weeks is replenishing the lake at the same time. How many weeks does it take to empty the lake? Express your answer as a fraction reduced to lowest terms, if needed.
Mathematics
1 answer:
exis [7]3 years ago
6 0

Answer:

8 \frac{4}{7}

Step-by-step explanation:

The computation of the number of weeks taken for empty the lake is shown below:

Given that

Lake empty in 6 weeks

The River could fill the lake in 20 weeks

Let us assume the combined lake be x

So, here the equation is

\frac{1}{6} - \frac{1}{20}  = \frac{1}{x}

\frac{20 - 6}{6\times 20} = \frac{1}{x}

\frac{14}{6\times 20} = \frac{1}{x}

After solving this

x = \frac{60}{7} \\\\= 8 \frac{4}{7}

hence the number of weeks that take for empty the lake is 8 \frac{4}{7}

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Answer:

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Step-by-step explanation:

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4 0
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I need help pls just need answer
valentinak56 [21]
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I need help pleases I wil give brainyless
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Answer: Let's start by writing down coordinates of all points:

A(0,0,0)

B(0,5,0)

C(3,5,0)

D(3,0,0)

E(3,0,4)

F(0,0,4)

G(0,5,4)

H(3,5,4)

a.) When we reflect over xz plane x and z coordinates stay same, y coordinate  changes to same numerical value but opposite sign. Moving front-back is moving over x-axis, moving left-right is moving over y-axis, moving up-down is moving over z-axis.

A(0,0,0)

Reflecting

A(0,0,0)

B(0,5,0)

Reflecting

B(0,-5,0)

C(3,5,0)

Reflecting

C(3,-5,0)

D(3,0,0)

Reflecting

D(3,0,0)

b.)

A(0,0,0)

Moving

A(-2,-3,1)

B(0,-5,0)

Moving

B(-2,-8,1)

C(3,-5,0)

Moving

C(1,-8,1)

D(3,0,0)

Moving

D(1,-3,1)

Hope this helps plz mark brainliest

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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