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TiliK225 [7]
3 years ago
14

A phone company offers two monthly plans. Plan A costs $12 plus an additional $0.16 for each minute of calls. Plan B costs $29 p

lus an additional $0.12 for
each minute of calls.

For what amount of calling do the two plans cost the same?

What is the cost when the two plans cost the same?
Mathematics
1 answer:
lora16 [44]3 years ago
4 0

Answer:

  • 425 min
  • $80

Step-by-step explanation:

<u>The equation to reflect the monthly plans:</u>

  • Plan A f(x) = 0.16x + 12
  • Plan B g(x) = 0.12x + 29

<u>We need to find the value of x when f(x) = g(x):</u>

  • 0.16x + 12 = 0.12x + 29
  • 0.16x - 0.12x = 29 - 12
  • 0.04x = 17
  • x = 17/0.04
  • x = 425 minutes

<u>The cost is:</u>

  • $0.16*425 + $12 = $80
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Plugging them gives us

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babymother [125]

Option E:

The value of m that makes the inequality true is 5.

Solution:

Given inequality is 3m + 10 < 30.

Let us first simplify the expression.

3m + 10 < 30

Subtract 10 from both side of the equation.

3m < 20 – – – – (1)

<u>To find the value of m that makes the inequality true:</u>

Option A: 20

Substitute m = 20 in (1),

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⇒ 60 < 20

It is not true because 60 is greater than 20.

Option B: 30

Substitute m = 30 in (1),

⇒ 3(30) < 20

⇒ 90 < 20

It is not true because 90 is greater than 20.

Option C: 8

Substitute m = 8 in (1),

⇒ 3(8) < 20

⇒ 24 < 20

It is not true because 24 is greater than 20.

Option D: 10

Substitute m = 10 in (1),

⇒ 3(30) < 20

⇒ 90 < 20

It is not true because 90 is greater than 20.

Option E: 5

Substitute m = 5 in (1),

⇒ 3(5) < 20

⇒ 15 < 20

It is true because 15 is less than 20.

Hence the value of m that makes the inequality true is 5.

Option E is the correct answer.

5 0
3 years ago
Solve the following equations putting them in slope intercept form. Then
asambeis [7]

Answer:

1. slope  is -1 and y intercept is 2

3. slope is -2 and y intercept is -4

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Step-by-step explanation:

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2 years ago
Please help me, I am completely lost...
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5 is the answer, you are welcome.
8 0
3 years ago
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