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Oduvanchick [21]
3 years ago
13

For each long-distance call anywhere in the continental United States, a new phone service will charge users $0.60 per minute fo

r the first 2 minutes and $0.02 per minute for additional minutes in each call. Tom’s current phone service charges $0.10 per minute for all calls, and his calls are never shorter than 7 minutes.
If Tom’s dorm switches to the new phone service, what will happen to the average length of his calls?
Mathematics
1 answer:
8_murik_8 [283]3 years ago
4 0

Answer:

Average call Becomes 15 minutes

Step-by-step explanation:

For Tom's Dorm to not run at a loss for switching to the new phone service the Average length of phone calls must not be less than fifteen (15) minutes.

Mathematically,

If he remains on his current phone line, a call of 15 minutes will cost :

= 0.1 * 15 = $1.5

But if he switches to the new phone line and makes a call for 15minutes, the cost will become :

First 2 minutes = 0.6 * 2 = $1.2

Subsequent 13 minutes will cost = 0.02 * 13 = 0.26

Total call for 15minutes on the new phone line = 1.2 + 0.26 = 1.46.

Since the cost became significantly lesser for 15mins when he switches to the new phone line, then the average calls Tom should make should not be less than 15 minutes.

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2 years ago
What is (6x+4) - (4x+2)
Nana76 [90]

Answer:

x = -1

Step-by-step explanation:

1. Simplifying

6x + 4 = 4x + 2

2. Reorder the terms

4 + 6x = 4x + 2 to 4 + 6x = 2 + 4x

3. Solving

4 + 6x = 2 + 4x

4. Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right. Then add '-4x' to each side of the equation.

4 + 6x + -4x = 2 + 4x + -4x

5. Combine like terms: 6x + -4x = 2x

4 + 2x = 2 + 4x + -4x

6. Combine like terms: 4x + -4x = 0

4 + 2x = 2 + 0

4 + 2x = 2

7. Add '-4' to each side of the equation.

4 + -4 + 2x = 2 + -4

8. Combine like terms: 4 + -4 = 0

0 + 2x = 2 + -4

2x = 2 + -4

9. Combine like terms: 2 + -4 = -2

2x = -2

10. Divide each side by '2'.

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x = -1

4 0
2 years ago
Which equation is y= 2x ^2 - 8x +9 rewritten in vertex form.
REY [17]
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5 0
3 years ago
Read 2 more answers
From points A and B, the distance between which is 1020 mi, two trains left simultaneously towards each other. The speed of one
telo118 [61]

From points A and B, the distance between which is 1020 mi

The speed of one train was 10 mph greater than the speed of the other one

Let the Speed of first train is x

Speed of second train is x+ 10

Time = 5 hours

Distance = speed * time

Distance traveled by first train = x * 5= 5x

Distance traveled by second  train = (x+10) * 5= 5x + 50

the trains had not met yet and were 170 mi apart.

the distance between A  and B is 1020 mi, Distance traveled by two trains = 1020 - 170 = 850 miles

Distance traveled by first train + second train = 850

5x + 5x + 50 = 850

10x + 50 = 850

Subtract both sides by 50

10x = 800

x= 80

Speed of first train is 80 miles per hour

Speed of second train is 90 miles per hour


3 0
3 years ago
Four tomatoes and eight avocados cost $10. Six tomatoes and fourteen avocados cost $17.
Sedaia [141]

Answer:

(a)

A single avocado costs $1

A single tomato costs $0.5

(b)

An avocado costs twice as much as a tomato

<em></em>

Step-by-step explanation:

Represent the tomatoes with T and the avocados with A.

So, we have:

4T + 8A = 10 --- (1)

6T + 14A = 17 --- (2)

Solving (a): The price of each

Multiply (1) by 1.5

1.5(4T + 8A = 10)

6T + 12A = 15 --- (3)

Subtract (3) from (2)

(6T + 14A = 17) - (6T + 12A = 15)

6T - 6T + 14A - 12A = 17 - 15

14A - 12A = 17 - 15

2A = 2

Divide both sides by 2

A = 1

Substitute 1 for A in (1)

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4T + 8(1) = 10

4T + 8 = 10

Make 4T the subject

4T = 10 - 8

4T = 2

Divide both sides by 4

T = \frac{2}{4}

T = 0.5

Solving (b): Analysis

In (a), we have:

T = 0.5

A = 1

<em>We can say that an avocado costs twice as much as a tomato</em>

7 0
2 years ago
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