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Kisachek [45]
3 years ago
9

Jack is selling wristbands and headbands to earn money for camp. He earns $2 for each wristband and $3 for each headband. He wan

ts to earn at least $50. He needs to sell at least 5 wristbands. Which system of inequalities is shown in the graph of the solution below?
• 2x + 3y ≥ 50 x ≥ 5 x ≥ 0 y ≥ 0
•3x + 2y ≥ 50 x ≥ 5 x ≥ 0 y ≥ 0
•2x + 3y ≤ 50 x ≥ 5 x ≥ 0 y ≥ 0
•2x + 3y ≤ 50 x ≤ 5 x ≥ 0 y ≥ 0
Mathematics
2 answers:
Oksi-84 [34.3K]3 years ago
5 0
Your answer will most likely be a.
Korolek [52]3 years ago
5 0

Answer:

The correct option is A.

Step-by-step explanation:

Let number of sold wristbands and headbands be x and y respectively.

It is given that the jack earns $2 for each wristband and $3 for each headband. So, total revenue is

T=2x+3y

He wants to earn at least $50.

2x+3y\geq 50

He needs to sell at least 5 wristbands.

x\geq 5

The number of sold wristbands and headbands can not be negative. so,

x\geq 0,y\geq 0

The system of inequalities is

2x+3y\geq 50

x\geq 5

x\geq 0,y\geq 0

Therefore, correct option is A.

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We have 3⁴ = 81, so we can factorize this as a difference of squares twice:

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