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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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Point A(–4, 2) is reflected over the line x = 3 to create the point A'. What are the coordinates of A'?
iragen [17]
A ( - 4, 2)
Reflected over x = 3.
x = 3 is a vertical line, the point (-4, 2) is 7 units on the left side of the vertical line. When you reflect across the line to the right side we need to be 7 units away from the vertical line on the right side. 3 + 7 = 10
The x value would be 10. (10, 2)
LETTER D
8 0
3 years ago
If one basket contains five bottles each weighing 7 1/4 ANSYS and the other basket has six apples each weighing 6 1/2 ounces woo
Tems11 [23]

<em>Question:</em>

<em>If one basket contains five bottles each weighing 7 1/4 and the other basket has six apples each weighing 6 1/2 ounces. Which basket is heavier and by how much ?</em>

Answer:

The basket of bottles weighs more than the basket of apples by 3\frac{3}{4} ounces

Step-by-step explanation:

Given

Bottles = 5

Weight(Bottle) = 7\frac{1}{4}

Apples = 6

Weight(Apple) = 6\frac{1}{2}

Required

Determine which basket is heavy

and by how much?

First, we need the total weight of each basket.

For the bottles' basket

Total\ Weight = Weight * Bottles

Total\ Weight = 7\frac{1}{4} * 5

Total\ Weight = \frac{29}{4} * 5

Total\ Weight = \frac{29 * 5}{4}

Total\ Weight = \frac{145}{4}

Total\ Weight = 36\frac{1}{4}

For the bottles' basket

Total\ Weight = Weight * Apples

Total\ Weight = 6\frac{1}{2} * 5

Total\ Weight = \frac{13}{2} * 5

Total\ Weight = \frac{13* 5}{2}

Total\ Weight = \frac{65}{2}

Total\ Weight = 32\frac{1}{2}

By comparing both total weights, 36\frac{1}{4} > 32\frac{1}{2}

Hence:

The basket of bottles weighs more than the basket of apples

Calculating the difference:

Difference = 36\frac{1}{4} - 32\frac{1}{2}

Difference = \frac{145}{4} - \frac{65}{2}

Difference = \frac{145 - 130}{4}

Difference = \frac{15}{4}

Difference = 3\frac{3}{4}

Hence:

It weighs more by 3\frac{3}{4} ounces

8 0
3 years ago
If x = 4, which inequality is true?<br> A) -2 -3x 12<br> C) 2x -4 -13<br> Show your work
wolverine [178]

Answer:

true

Step-by-step A

4 0
3 years ago
What is the volume of a square pyramid with a base length of 6cm and a height of 9cm?
emmainna [20.7K]
Answer:
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Explanation:
For a square pyramid, the volume can be calculated as follows:
Volume = \frac{1}{3} * area of base * height
Volume = \frac{1}{3} * side² * height
We have:
side length = 6 cm
height = 9 cm
Therefore:
Volume = \frac{1}{3} * 36 * 9 = 108 cm ³

Hope this helps :)
8 0
3 years ago
write the standard form point slope form and slope intercept form of a line that passes through (-7,6) and has a slope of. -1
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Answer: See explanation

Step-by-step explanation:

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Add 6 to both sides

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Slope intercept form: y = mx + b

m = -1

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Standard form: Ax + By = C

Change slope intercept form into _x + _y = c

Slope intercept form: y = -x + 6

Standard form:

y = -x + 6

Add x to both sides

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Hope I helped!

5 0
2 years ago
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