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tekilochka [14]
3 years ago
7

A club decides to sell T-shirts for $12 each as a fund-raiser. It costs $20, plus $6 per T-shirt to make the T-shirts. Write and

solve an equation to find how many T-shirts the club needs to make and sell in order to profit at least $100.
Mathematics
1 answer:
Elza [17]3 years ago
4 0
You would need to sell 20 shirts to make a 100 dollar profit. 
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Part A: The solution is (-0.923,5.692)

Part B: The point (3,7) is not in the solution set.

Explanation:

Part A: The given inequalities are 3 x+4 y>20 and x

The solution can be determined by solving the two inequalities by substitution method.

Changing inequalities to equality, we have,

x=3 y-18 and 3 x+4 y=20

Let us substitute x=3 y-18 in the equation 3 x+4 y=20 , we get,

3 (3y-18)+4 y=20

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Substituting y=5.692 in x=3 y-18, we get,

x=3 (5.692)-18

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Thus, the solution set is (-0.923,5.692)

Part B: Now, we shall determine whether the point (3,7) is in the solution set.

Let us substitute the point (3,7) in the inequalities 3 x+4 y>20 and x, we get,

3 (3)+4 (7)>20

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            37>20

Also, substituting (3,7) in x, we get,

3

3

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Since, the point (3,7) does not satisfy one of the inequality x , the solution set does not contain the point (3,7)

Thus, the point (3,7) is not in the solution set.

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Answer:

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Step-by-step explanation:

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The tables shows the distance traveled over time while traveling at a constant speed.
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Answer: b is the answer

Step-by-step explanation:

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