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6 days ago

Peyton is a salesperson who sells computers at an electronics store. She makes a base pay amount of $60 per day regardless of sa

les and she earns a commission of 2.5% of the dollar amount of all sales that she makes. Write an equation for P,P, in terms of x, representing Peyton's total pay on a day on which she sells xx dollars worth of computers.

Mathematics

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12x+7<−11 AND5x−8≥4012

Svet_ta [12734]

Answer:

No solution

Step-by-step explanation:

Given: $12x+7$ and $5x-8\geq 40$

Handle each inequality separately.

$12x+7$ Utilizing the subtraction property of inequalities

$12x$

$x$

and

$5x-8\geq 40$ Utilizing the addition property of inequalities

$5x\geq 40+8$

$5x\geq 48$

$x\geq \dfrac{48}{5}$

Thus, the solution to the combined inequality is the overlap of both solutions.

Refer to the attached image for the number line representation.

No solution

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3 months ago

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From 1960 to 1970, the consumer price index (CPI) increased from 29.6 to 38.8. If a macaroni and cheese dinner cost $0.37 in 196

PIT_PIT [12445]

<span>I'm fairly certain it's C $0.12

Good luck! I hope I was able to assist:)
</span>

3 0

2 months ago

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A sports club needs to raise at least $500 by selling chocolate bars for $2.50 each. Sebastian wants to know how many chocolate

Zina [12379]

to achieve a minimum of 200 chocolate bars

c=chocolate bars

2.5c>or=500

Divide both sides by 2.5

c>or=200

6 0

1 month ago

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Michael uses a blend of dark chocolate and milk chocolate to make the ice cream topping at his restaurant. He needs to buy 100\,

AnnZ [12381]

Answer:

Michael purchases 60 kg of dark chocolate alongside 40 kg of milk chocolate.

Step-by-step explanation:

Let d signify the kilograms of dark chocolate bought by Michael and m signify the kilograms of milk chocolate he acquires.

He must acquire a total of 100 kg of chocolate, thus

$d+m=100$

With dark chocolate priced at $12 per kg, the cost for d kg would be $12d. The price of milk chocolate is $10 per kg, indicating the cost for m kg is $10m. Michael intends to spend $1,120 on the chocolate, therefore

$12d+10m=1,120$

Taking the first equation

$d=100-m$

By inserting this into the second equation:

$12(100-m)+10m=1,120\\ \\1,200-12m+10m=1,120\\ \\-12m+10m=1,120-1,200\\ \\-2m=-80\\ \\m=40\\ \\d=100-m=100-40=60$

Michael ends up buying 60 kg of dark chocolate and 40 kg of milk chocolate.

7 0

2 months ago

A truck is carrying 10 3 bushels of apples, 10 2 bushels of grapes, and 10 1 bushels of oranges. Each bushel of apples weighs

Svet_ta [12734]

Answer:

10,088 pounds

Step-by-step explanation:

Provided data

103 bushels of apples

102 bushels of grapes

101 bushels of oranges

With the respective weight per bushel:

Apples = 32 pounds

Grapes = 25 pounds

Oranges = 42 pounds

The total weight can be calculated by summing the products of each type:

Total Weight: 103(32) + 102(25) + 101(42) = 10,088 pounds

5 0

2 months ago