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erica [24]
3 years ago
11

You work for a delivery service. With plan A, you can earn $5 per hour plus $0.75 per delivery. With plan B, you can earn $7 per

hour plus $0.25 per delivery. How many deliveries must you make per hour with plan A to earn as much as plan B?
Mathematics
1 answer:
vodomira [7]3 years ago
6 0

You must make 4 deliveries per hour with Plan A to earn as much as Plan B.

Step-by-step explanation:

Plan A;

Earning per hour = $5

Per delivery earning = $0.75

Let,

x be the number of deliveries.

A(x) = 5 + 0.75x

Plan B;

Earning per hour = $7

Per delivery earning = $0.25

B(x) = 7 + 0.25x

For earning as much as B.

A(x) = B(x)

5+0.75x=7+0.25x\\0.75x-0.25x=7-5\\0.5x=2

Multiplying both sides by 0.5

\frac{0.5x}{0.5}=\frac{2}{0.5}\\x=4

You must make 4 deliveries per hour with Plan A to earn as much as Plan B.

Keywords: function, division

Learn more about functions at:

  • brainly.com/question/11638377
  • brainly.com/question/11921476

#LearnwithBrainly

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3 years ago
Isabella has already baked 4 pies, and she can bake 2 pies with each additional cup of sugar she buys. Write an equation that sh
Alla [95]

Answer:

It would be y = 2x+4

Step-by-step explanation:

This is because Isabella has started with 4 baked pies and is gaining additional pies with in amounts of 2 pies.

With this, 4 would be by itself and 2 would be attached to the variable x for the unknown amount of additional pies.

Lastly, you would have this all equaling y, as y is the total amount of pies.

6 0
3 years ago
At Ralph's fruit stand X pound of grapes cost 90 cents. You want to buy 5 pounds of grapes. How
diamong [38]

Answer:At Ralph’s fruit stand ½ pound of grapes cost 90 cents. You want to buy 5 pounds of grapes.

How much will they cost?

1. What are the two possible rates for this problem?

Solution: ½ pound/90 cents 90 cents/ ½ pound

2. Show each rate as a unit rate.

Solution: . pounds of per 1 cent 180 cents per 1 pound of grapes

3. What does each unit rate tell you?

Solution: The pounds of grapes for 1 cent

The number of cents for one pound of grapes

4. Which unit rate will help you solve the problem?

Solution: 180 per 1 pound of grapes

5. If it costs 180 cents to buy 1 pound of grapes, how much will 2 pounds cost? 4 pounds?

Complete the table below.

POUNDS

OF

GRAPES

COST IN CENTS

1 180

2 360

3 540

What pattern do you see? The cost in cents increases by 180 cents each time.

Multiply the pounds of grapes by 180 cents to get the total cost

6. Since you know the unit price, write a number sentence for the cost of five pounds of

grapes. Write an equation for the cost of any pounds of grapes.

(180 cents per pound)(5 pounds) = $9.00

(Unit rate)(pounds of grapes) = total cost

180x = y where x is the cost per pound of grapes and y is the number of pounds.

Step-by-step explanation:

8 0
3 years ago
Diane, Alan, and Jim have a total of $108 in their wallets. Jim has 4 times what Alan has. Alan has $6 less than Diane. How much
Alexus [3.1K]

Answer:

Jim = 68


Diane = 23


Alan = 17


Step-by-step explanation:

17 x 4 = 68

17 + 6 = 23

17 + 23 + 68 = 108

7 0
3 years ago
Can anyone help me with these questions please? 5 + 2x = 19 and also 4x + 3 = 27
Elza [17]

Answer:

x= 7

x=6

Step-by-step explanation:

5+2x=19

Subtract 5 from both sides

so...

2x=14

then divide by two to isolate the x

so..

x=7

4x+3=27

Subtract 3 from both sides

so...

4x=24

then divide by 4 to isolate the x

so....

x=6

3 0
3 years ago
Read 2 more answers
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