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vovikov84 [41]
3 years ago
8

Kedar is comparing the costs of phone plans. For phone plan A, the cost is $15.00 to connect and then $0.02 per minute. For phon

e plan B, the cost is $4.69 to connect and then $0.08 per minute. For what usage does plan A cost the same as plan B? (Hint: Find total minutes and then convert to hours and minutes.)
3 h 2 min

2 h 42 min

3 h 12 min

2 h 52 min
Mathematics
2 answers:
Stolb23 [73]3 years ago
6 0

Answer:

  2 h 52 min

Step-by-step explanation:

Let m represent the number of minutes that will make the plans have equal cost. Equating the two plan costs, we have ...

  15.00 + 0.02m = 4.69 + 0.08m

  10.31 = 0.06 m . . . . . subtract 4.69+0.02m

  10.31/0.06 = m = 171.8333... ≈ 172 . . . . minutes at equal cost

There are 60 minutes in an hour, so ...

  172 minutes = 120 minutes + 52 minutes = 2 hours + 52 minutes

Plan A will cost the same as Plan B for 2 h 52 min of usage.

zysi [14]3 years ago
4 0

Answer:

The answer is (D): 2 h 52 min

Step-by-step explanation:

write these equations separately as functions:

A(x)=15+0.02m

B(x)=4.69+0.08m

Since we want to find when they are equal, set them equal to each other:

15+0.02m=4.69+0.08m

simplifying this equation gives

10.31+0.02m=0.08m

subtract 0.02m from both sides

10.31=0.06m

divide both sides by 0.06

m=171.833 etc approximately equals 172 minutes

172 min/60=

2 hours and 52 min

Hope this helps!

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20 POINTS
noname [10]

Answer:

EXAMPLE

Pete bought a shirt on sale for $

18

18, which is one-half the original price. What was the original price of the shirt?

Solution:

Step 1. Read the problem. Make sure you understand all the words and ideas. You may need to read the problem two or more times. If there are words you don’t understand, look them up in a dictionary or on the Internet.

In this problem, do you understand what is being discussed? Do you understand every word?

Step 2. Identify what you are looking for. It’s hard to find something if you are not sure what it is! Read the problem again and look for words that tell you what you are looking for!

In this problem, the words “what was the original price of the shirt” tell you what you are looking for: the original price of the shirt.

Step 3. Name what you are looking for. Choose a variable to represent that quantity. You can use any letter for the variable, but it may help to choose one that helps you remember what it represents.

Let

p

=

p= the original price of the shirt

Step 4. Translate into an equation. It may help to first restate the problem in one sentence, with all the important information. Then translate the sentence into an equation.

The top line reads:

Step 5. Solve the equation using good algebra techniques. Even if you know the answer right away, using algebra will better prepare you to solve problems that do not have obvious answers.

Write the equation.

18

=

1

2

p

18=12p

Multiply both sides by 2.

2

⋅

18

=

2

⋅

1

2

p

2⋅18=2⋅1

Step 3. Name what you are looking for. Choose a variable to represent that quantity. You can use any letter for the variable, but it may help to choose one that helps you remember what it represents.

Let

p

=

p= the original price of the shirt

Step 4. Translate into an equation. It may help to first restate the problem in one sentence, with all the important information. Then translate the sentence into an equation.

The top line reads:

Step 5. Solve the equation using good algebra techniques. Even if you know the answer right away, using algebra will better prepare you to solve problems that do not have obvious answers.

Write the equation.

18

=

1

2

p

18=12p

Multiply both sides by 2.

2

⋅

18

=

2

⋅

1

2

p

2⋅18=2⋅12p

Simplify.

36

=

p

36=pStep 6. Check the answer in the problem and make sure it makes sense.

We found that

p

=

36

p=36, which means the original price was

$36

$36. Does

$36

$36 make sense in the problem? Yes, because

18

18 is one-half of

36

36, and the shirt was on sale at half the original price.Step 7. Answer the question with a complete sentence.

The problem asked “What was the original price of the shirt?” The answer to the question is: “The original price of the shirt was

$36

$36.”

If this were a homework exercise, our work might look like this:

The top reads,

TRY IT

Step-by-step explanation:

<em>#CarryOnLearning</em>

4 0
2 years ago
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Nata [24]
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When we try to multiply 4 and 19 together, we have our nice answer 76. We then replace out values in the original ratio, in which we get the final answer of 4:1, 4/1, or 4 to 1.
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3 years ago
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ioda

Answer:16b square root of 5 -8

Step-by-step explanation:

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P = 4a.....this is the perimeter of a square
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3 years ago
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Bond [772]
Exact Form:
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Decimal Form:
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Mixed Number Form:
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2 years ago
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