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denpristay [2]
3 years ago
11

Sandra uses her office fax machine to send fax at the rate of $0.10 per page. She decides to rent a fax machine for $80 a year.

The cost of sending a fax using the rented machine is $0.06 per page. Part A: Write an inequality that can be used to calculate the number of pages that Sandra should fax in a year so that the amount she pays for the rented machine is less than the office machine. Define the variable used. (5 points) Part B: How many pages should Sandra fax in a year to justify renting the fax machine? Show your work. (5 points)
Mathematics
1 answer:
Maksim231197 [3]3 years ago
8 0
Part A: 
 First we define the variable to be used for the problem:
 x: the number of pages that Sandra should fax
 The inequality for rent is:
 0.06x <= 80
 Note that the price will be less than using the fax from the office, since for the same number of pages, we have:
 y = 0.10x
 Answer:
 
an inequality that can be used to calculate the number of pages that Sandra should fax in a year is:
 
0.06x <= 80

 Part B:
 0.06x <= 80
 From here we clear x:
 x <= 80 / 0.06
 x <= 1333.33333
 Nearest whole number
 x <= 1333
 Sandra can use the leased fax for 1333 pages and the cost will be:
 1333 * 0.06 = 79.98 $
 Using the office fax the cost will be:
 1333 * 0.1 = 133.3 $
  Answer:
 
By renting the sara machine, you save:
 
133.3-79.98 = 53.32 $
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2 years ago
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Cross multiply:
15x = 10(18 - x)
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15/10 = 1.5

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6 0
3 years ago
algebraically determine the values of h and k to correctly complete the identity stated below : 2 x cubed - 10x squared + 11x -
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Answer:

The values for expression is h = - 2 and k = 5

Step-by-step explanation:

Given algebraic expression can be written as :

2 x³ - 10 x² + 11 x - 7 = ( x - 4 ) × ( 2 x² + h x + 3 ) + k

Now opening the bracket

Or, 2 x³ - 10 x² + 11 x - 7 = x × ( 2 x² + h x + 3 ) - 4 × ( 2 x² + h x + 3  ) + k

Or, 2 x³ - 10 x² + 11 x - 7 = 2 x³ + h x² + 3 x - 2 x² - 4 h x - 12  +k

Or , 2 x³ - 10 x² + 11 x - 7 = 2 x³ + ( h - 2 ) x² + ( 3 - 4 h ) x - 12  + k

Now, equating the equation both sides

I.e  - 10 =  ( h - 2 )

Or , h - 2 = - 10

I.e , h = - 10 + 2

∴ h = - 2

Again , 11  = ( 3 - 4 h )

or, 11 = 3 - 4 h

or, 11 - 3 = - 4 h

or, 8 = - 4 h

∴ h = \frac{-8}{4}

I.e h = - 2

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- 7 = - 12 + k

Or, k = - 7 + 12

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5 0
2 years ago
Use the following scenario to answer the question below:
Stolb23 [73]

The bigger engine is about 235.5 cubic centimeters larger than the smaller engine.

We need the answer in cubic centimeters. So let's convert 350 cubic inches to cubic centimeters. We will do it unit conversion way (the long way).

We will write cubic inches as three inches side-by-side

350 in^3

<h3>What is the ratio of the centimeter?</h3>

This way, we can multiply this by the ratio of centimeters to inches [2.54 cm = 1 inch], so that the units cancel and we have cubic centimeters (what we desire).

350 in^3*3.54cm/1in*3.54cm/1in*3.54cm/1in

So, we can cancel the three inches top and bottom thus we have the answer in centimeters cubed. And the value is

350 in^3*3.54cm/1in*3.54cm/1in*3.54cm/1in.

350 in^3*3.54cm/1in*3.54cm/1in*3.54cm/1in=5735.47.

So 350 cubic inches is approximately 5735.5 cubic centimeters (rounded to 1 decimal place).

This is larger than a 5500 cubic centimeters engine.

5735.5-5500=235.5cubic centimeters.

The bigger engine is about 235.5 cubic centimeters larger than the smaller engine.

To learn more about the significant figures visit:

brainly.com/question/24491627

#SPJ1

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Answer:

288cm

Step-by-step explanation: She is a beach..Thats why shes rude

3 0
3 years ago
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