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3 years ago

5

The neighborhood ice cream truck driver has to pay $650.00 a week to rent his truck. Each ice cream cone costs $0.75 to make and

sells for $1.60. Set up an equation to figure out how many ice cream cones must be sold to make a profit of $100.00 for the week.

1 answer:

Sergio [31]3 years ago

7 0

1.60*e=750 should be correct

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3 years ago

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3 years ago

zmey [24]

Answer:

Part 1) The inequality that represent this situation is $5(x+7)^{2} \geq1,050$ or $5x^{2}+70x+245 \geq1,050$

Part 2) Yes, 8 inches is a reasonable width for his tablet

Step-by-step explanation:

Part 1)

Let

L -----> the length of the screen television

W ----> the width of the screen television

x ----> the width of Andrew's tablet

we know that

$L=5W$ ------> equation A

$W=x+7$ ----> equation B

The area of the television is

$A=LW$ -----> equation C

Substitute equation A and equation B in equation C

$A=5(x+7)(x+7)$

$A=5(x+7)^{2}$

$5(x+7)^{2} \geq1,050$

$5(x^{2}+14x+49) \geq1,050$

$5x^{2}+70x+245 \geq1,050$ ------> inequality that represent this situation

Part 2) Determine if 8 inches is a reasonable width for his tablet

For x=8 in

Substitute in the inequality

$5(8+7)^{2} \geq1,050$

$5(15)^{2} \geq1,050$

$1,125 \geq1,050$ -----> is true

therefore

Yes, 8 inches is a reasonable width for his tablet

3 0

3 years ago