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love history [14]
3 years ago
5

The 4015n printer that is used in most of the labs has a toner cartridge that cost 40.00 and each cartridge should print 10,000

pages, a ream of 500 pages for the printer costs 6.00. Just including those costs how much does it cost to print a single page
Mathematics
1 answer:
Illusion [34]3 years ago
4 0

Answer:

1 sheet costs 1.6 cents

Step-by-step explanation:

The total cost of the toner is 40 dollars which is good for 10000 pages.

The cost of 500 sheets of paper is 6.00 dollars or 600 cents

500 sheets / 600 cents = 1 sheet /x         Cross Multiply

500 sheets  x = 600 cents                        Divide by 500

x = 600/500

x = 1.2 cents.

10000 sheets cost 40 dollars. = 4000 cents

1 sheet      costs x

10000/1 = 4000/x                          Cross multiply

10000*x = 1 * 4000                        Divide by 10000

x = 4000/10000

x = 0.4 cents.

Total Cost for 1 sheet = 0.4 cents + 1.2 cents

Total Cost for 1 sheet = 1.6 cents.

 

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To represent the change in points, you can think of it in two ways:

1.  You will go down 25 points for every wrong answer, so -25 + -25 + -25 would represent what is happening.  They are all negative, so you keeping moving down in value.  

2.  You can also think of this as 3 groups of -25. 

Both answers are -75.  The answer is negative because the change was down in points.

-75 is the integer that represents this situation.
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3 years ago
The distance between two subway stations is 3 miles. If a train
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Answer: 3

Step-by-step explanation:

Divide every mile is one minute

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Find the circumference of the circle. Then, find the length of each bolded arc. Use appropriate notation
Vaselesa [24]

Answer:

\text{1) }\\\text{Circumference: }24\pi \text{ m}},\\\text{Length of bolded arc: }18\pi \text{ m}\\\\\text{3)}\\\text{Circumference. }4\pi \text{ mi},\\\text{Length of bolded arc: }  \frac{3\pi}{2}\text{ mi}

Step-by-step explanation:

The circumference of a circle with radius r is given by C=2\pi r. The length of an arc is makes up part of this circumference, and is directly proportion to the central angle of the arc. Since there are 360 degrees in a circle, the length of an arc with central angle \theta^{\circ} is equal to 2\pi r\cdot \frac{\theta}{360}.

Formulas at a glance:

  • Circumference of a circle with radius r: C=2\pi r
  • Length of an arc with central angle \theta^{\circ}: \ell_{arc}=2\pi r\cdot \frac{\theta}{360}

<u>Question 1:</u>

The radius of the circle is 12 m. Therefore, the circumference is:

C=2\pi r,\\C=2(\pi)(12)=\boxed{24\pi\text{ m}}

The measure of the central angle of the bolded arc is 270 degrees. Therefore, the measure of the bolded arc is equal to:

\ell_{arc}=24\pi \cdot \frac{270}{360},\\\\\ell_{arc}=24\pi \cdot \frac{3}{4},\\\\\ell_{arc}=\boxed{18\pi\text{ m}}

<u>Question 2:</u>

In the circle shown, the radius is marked as 2 miles. Substituting r=2 into our circumference formula, we get:

C=2(\pi)(2),\\C=\boxed{4\pi\text{ mi}}

The measure of the central angle of the bolded arc is 135 degrees. Its length must then be:

\ell_{arc}=4\pi \cdot \frac{135}{360},\\\ell_{arc}=1.5\pi=\boxed{\frac{3\pi}{2}\text{ mi}}

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3/2 is the right answer
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