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3 years ago

What is the measure of x?

Mathematics

1 answer:

expeople1 [14]3 years ago

6 0

Answer:

Step-by-step explanation:

Use similar triangles and proportions to solve:

$\frac{4}{6}=\frac{10}{6+x}$ and cross multiply:

4(6 + x) = 60 and

24 + 4x = 60 and

4x = 36 so

x = 9

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3 years ago

Read 2 more answers

An online furniture store sells chairs for $50 each and tables for $250 each. Every day, the store can ship no more than 36 piec

sattari [20]

Answer:

All possible values for the number of tables that the store must sell in order to meet the requirements are 9, 10, 11, 12, 13.

Step-by-step explanation:

Let x be the number of chairs sold and y be the number of tables sold.

Chairs are sold for $50 each, then x chairs cost $50x.

Tables are sold for $250 each, then y tables cost $250y.

In total, x chairs and y tables cost $(50x+250y).

Every day, the store can ship no more than 36 pieces, then

$x+y\le 36$

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$50x+250y\ge 3,400$

If 23 chairs were sold, then x = 23. Substitute it into the inequalities:

$23+y\le 36\Rightarrow y\le 13\\ \\50\cdot 23+250y\ge 3,400\Rightarrow 250y \ge 2,250,\ \ \ y\ge 9$

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3 years ago