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2 years ago

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Tickets to a play cost $10 at the door and $8 in advance. The theater club wants to raise at least $800 from the sale of the tic

kets from the play. Write and graph an inequality for the number of tickets the theater club needs to sell. If the club sells 40 tickets in advance how many does it need to sell at the door to reach its goal? use x to represent the number of tickets sold at the door. use y to represent the number of tickets sold in advance.
Write and graph an inequality for the number of tickets the theater club needs to sell. Use x to represent the number of tickets sold at the door and y to represent the number of tickets sold in advance.

1 answer:

jenyasd209 [6]2 years ago

6 0

Standard form:

10x + 8y < 800

Slope intercept form:

y < (-5/4)x + 100

Slope: -5/4

y-intercept: 100

Hope this helps

TT - dravenfact8

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a. See Attachment 1

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Step-by-step explanation:

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To calculate PT, we need to get distance OT and OP

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We have to consider angle 30, distance OH and distance OP

The relationship between these parameters is;

$tan30 = \frac{OP}{20}$

Multiply both sides by 20

$20 * tan30 = \frac{OP}{20} * 20$

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--------------------------------------------------------

Calculating the distance between H and the top of the tower

This is represented by HT

HT can be calculated using Pythagoras theorem

$HT^2 = OT^2 + OH^2$

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$HT^2 = 20^2 + 23.836^2$

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$HT = \sqrt{968.154896}$

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--------------------------------------------------------

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$tan50 = \frac{OH}{OT}$

Multiply both sides by OT

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Substitute $OT = 23.836$

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