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2 years ago

14

A ladder is leaning against a wall. The top of the ladder is 9 feet (ft) above the ground. If the bottom of the ladder is moved

3ft farther from the wall, the ladder will be lying flat on the ground, still touching the wall. How long, in feet, is the ladder?

1 answer:

Dmitriy789 [7]2 years ago

8 0

The ladder is 9.5 feet

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Answer:

55 adult tickets were sold on Friday.

Step-by-step explanation:

A linear system will be used to model the system.

Let c be the number of child tickets and a be the number of adult tickets

Then according to given statements

$a+c = 133\ \ \ \ Eqn\ 1\\9.50a+5.20c = 928.10\ \ \ Eqn\ 2$

From equation 1

$a = 133-c$

Putting this in equation 2

$9.50(133-c)+5.20c = 928.10\\1263.5-9.50c+5.20c=928.10\\1263.5-4.3c = 928.10\\-4.3c = 928.10-1263.5\\-4.3c=-335.4\\\frac{-4.3c}{-4.3} = \frac{-335.4}{-4.3}\\c = 78$

Putting c = 78 in equation 1

$a+78 = 133\\a = 133-78\\a = 55$

Hence,

55 adult tickets were sold on Friday.

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Answer:

3x+4

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3×(-1)+4=-8

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