MATHEMATICS MIDDLE SCHOOL

The student union at school has MP3 players pre-loaded with audio and digital books to check out. When the student starts downloading new books at 9:00 am, there are 15 already loaded. When he checks at noon, there are 30 books completely loaded. Assuming that the computer downloads books at a consistent rate, how many complete books will have downloaded at 3:00 pm?Write a function of books downloaded, y, based on time passed, x (in hours), as well as the total number of books that will be completed by 3:00 pm.

A
y = 10x + 5; 45 complete books

B
y = 15x + 15; 65 complete books

C
y = 5x + 15; 45 complete books

D
y = 15x + 10; 100 complete books

Answers

Answer 1

Answer:

The correct option is C. The function should be:

y = 5x + 15

This function gives the correct number of books downloaded after 3 hours, and the slope is also 5 books per hour.

The other options are incorrect.

Option A: y = 10x + 5. This function does not give the correct number of books downloaded after 3 hours.

Option B: y = 15x + 15. This function gives the correct number of books downloaded after 3 hours, but the slope is not 5 books per hour.

Option D: y = 15x + 10. This function does not give the correct number of books downloaded after 3 hours.

Answer 2

Answer: The answer is b because over time the 5x will turn into 65 books

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The price of a new version of a computer game is 120% of the price of the original version. The original version cost $48. What is the cost of the new version?

Answers

It would $72 because you have to subtract the computer game and the original version cost.

120÷100=1.2×48=57.6-48=9$and 6 cents is the correct answer

Which fraction correctly completes the equation?

6/8+?=1

Answers

6/8 plus 2/8 would equal 8/8 so it would reduce to 1 so your answer would be 2/8

As a short answer you could put it as

2
--
8

Take 4a - 3b + 2c from 2a - 3b + 4c.

-2a + 2c
-2a - 2c
2a + 2c
2a - 2c

Answers

Answer:

Option 1 $-2a+2c$

Step-by-step explanation:

To find : Take $4a - 3b + 2c$ from $2a - 3b + 4c$ .

Solution :

The equation $4a - 3b + 2c$ ....(1)

$2a - 3b + 4c$ ....(2)

Taking (1) from (2) means subtracting equitation (2) from (1),

i.e $=(2a - 3b + 4c)-(4a - 3b + 2c)$

$=2a - 3b + 4c-4a+3b-2c$

$=-2a+2c$

So, Taking $4a - 3b + 2c$ from $2a - 3b + 4c$ is $-2a+2c$

Therefore, Option 1 is correct.

2a-3b+4c-(4a-3b+2c)
=2a-3b+4c-4a+3b-2c
=-2a+2c

Express 17.28 as a mixed number.

Answers

17.28
= 17+ 0.28
= 17+ 28/100
= 17+ (28/4) / (100/4)
= 17+ 7/25
= 17 7/25

The final answer is 17 7/25~

Since 0.28 extends to the hundredths place, your mixed number starts off as 17 28/100.
Simplify 28/100 to 7/25.
Now, your mixed number is 17 7/25.

Increase 120cm by 24%

Answers

$120\cdot24\%=120\cdot0.24=28.8\n\n120+28.8=\boxed{148.8}$

5y + 3 = 4y - 9 what is y?

Answers

$y = - 12$

Step-by-step explanation:

$5y - 4y = - 9 - 3 \n y = - 12$

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