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Shtirlitz [24]
4 years ago
9

A copy center charges an initial cost per each new job, plus fixed amount for each copied page. John copied 425 pages and paid $

10.50. Peter paid $8 for 300 pages. What is the initial cost for a job?
Show the work, do not write only the final answer!
Mathematics
1 answer:
jok3333 [9.3K]4 years ago
8 0

Answer:

Initial cost for a job = $2

Step-by-step explanation:

Let initial cost be $x.

Fixed amount for each copied page  = $y

John:

Fixed amount for 425 pages = 425*y = 425 y

x + 425y = 10.50  ---------------(i)

Peter:

Fixed amount for 300 pages = 300 * y =300y

x + 300y = 8   ---------------------(ii)

Multiply (ii) by (-1) and add the both equation. Thus x will be eliminated.

(i)            x + 425y  = 10.50

(ii)*(-1)     <u>-x - 300 y = - 8</u>

                    125y = 2.50

                          y = 2.50/125

y = $ 0.02      

Plug in y value in equation (i)

x + 425*0.02 = 10.50

x + 8.50 = 10.50

x = 10.50 - 8.50

x = $2

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My brother and I walk the same route to school every day. My brother takes 40 minutes to get to school and I take 30 minutes. To
Alexxandr [17]

Answer:

24 minutes.

Step-by-step explanation:

Let D represent the distance from school to home and T represent time.

We have been given that your brother takes 40 minutes to get to school.

\text{Speed}=\frac{\text{Distance}}{\text{Time}}

\text{Your brother's speed}=\frac{D}{40}

You take 30 minutes to get to school.

\text{Your speed}=\frac{D}{30}

Your brother left 4 minutes before you did, so distance traveled by him would be:

\frac{D}{40}\times (T+8)

You speed: \frac{D}{30}\times T

You will catch your brother, when both distances would be same:

\frac{D}{40}\times (T+8)=\frac{D}{30}\times T

Cross multiply:

30D(T+8)=40DT

Use distributive property:

30DT+240D=40DT

30DT-30DT+240D=40DT-30DT

240D=10DT

Switch sides:

10DT=240D

\frac{10DT}{10D}=\frac{240D}{10D}

T=24

Therefore, it will take you 24 minutes to catch up your brother.

4 0
4 years ago
After counting her weekly earnings, she bought a candy bar for $.45, a pen for 250 and her mom gave her 2.00. She had $5.05 left
horsena [70]

Answer:

She started with $6.00.

Step-by-step explanation:

1. This problem is meant to have you work backwards from the information given. Firstly, it is important to write all the expenses and earnings she had to her weekly earnings.

Starting Amount = ?

- $0.45 (candy bar)

- $2.50 (pen)

+ $.200 (mom)

End Total = $5.05

2. With this information, this next step will be much easier. With this process, you can now use inverse operations to undo the last few equations.

Firstly, $2.00 given by her mom will be subtracted from $5.05.

Secondly, with our new total of $3.05, $2.50 from purchasing the pen will be added to this amount. This leaves you with $5.55.

Lastly, the $0.45 cents she spent with the candy bar will be added to the $5.55.

This leaves the starting amount to $6.00.

3.  She started with $6.00

6 0
4 years ago
Read 2 more answers
Original price: $25; Markdown: 12%
balu736 [363]
Take $25 times .12 which is 3
Then take 25-3 which is $22
Your sale price is $22
8 0
4 years ago
18) The ratio of the number of boys to the number of girls in the class is 1:6. Which statement must describe the class? A) Ther
Firdavs [7]

Answer:

B. There is one boy for every 6 girls in class.

Step-by-step explanation:

When you have a ratio, it compares two numbers. When you have a ratio 1:6 the colon (:) there can be read as "is to" or "for every".

That means that ratio can be read as 1 is to 6 or "there is 1 for every 6."

In this case 1:6 represents the number of boys to the number of girls to class. This means that there is 1 boy for every 6 girls in class.

3 0
3 years ago
If a is 3 and c is 12, then 4ac equals
Mrac [35]

Answer:

144

Step-by-step explanation:

4ac=

4(3)(12)=

144

Hope this helps!

5 0
3 years ago
Read 2 more answers
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