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raketka [301]
3 years ago
6

Eric has been donating books he no longer needs to his local library. After 3 months of donating, he had 157 books left in his r

oom. After 8 months of donating, he had 102 books left in his room. How many books per month did Eric donate on average between months 3 and 8?
Mathematics
1 answer:
Zanzabum3 years ago
4 0
He donated about eleven books per month.
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HELP ME PLEASE!!
LUCKY_DIMON [66]

Using a system of equation, we have that:

a)

  • x, which is the cost of on-site service.
  • y, which is the cost of at-store service.
  • z, which is the cost of by-mail service.

b)

The system is:

x = 3y

z = y - 10

15x + 40y + 5z = 3100

c)

The cost of one on-site repair service is of $90.

Item a:

The variables are:

  • x, which is the cost of on-site service.
  • y, which is the cost of at-store service.
  • z, which is the cost of by-mail service.

Item b:

On-site service costs <u>3 times as much as at-store service</u>, thus:

x = 3y

By mail service costs <u>$10 less than at-store</u>  service, thus:

z = y - 10

Last week, the shop completed <u>15 services on-site, 40 services at-store, and 5 services by mail for total sales of $3100</u>, thus:

15x + 40y + 5z = 3100

The system is:

x = 3y

z = y - 10

15x + 40y + 5z = 3100

Item c:

  • The cost of one on-site repair service is x.
  • First, replacing the first two equations into the third, we find y, and then with it we find x.

15x + 40y + 5z = 3100

15(4y) + 40y + 5(y - 10) = 3100

60y + 40y + 5y = 3150

105y = 3150

y = \frac{3150}{105}

y = 30

Then

x = 3y = 3(30) = 90

The cost of one on-site repair service is of $90.

A similar problem is given at brainly.com/question/24823220

3 0
3 years ago
Make x the subject of formular y=5√x+3-4
pochemuha

Answer:

x={(y+1) / 5}²

Step-by-step explanation:

y = 5√x +3 -4

⇒y = 5√x -1

add 1 on both sides

⇒ y + 1 = 5√x

divide both sides by 5

⇒(y+1) / 5   = (5√x) /5

⇒(y+1) / 5   = √x

now, square both sides

⇒{(y+1) / 5}²  = (√x)²

∴{(y+1) / 5}² = x

8 0
3 years ago
Teresa drove 936 miles in 13 hours. At the same rate, how many miles would she drive in 9 hours?
grandymaker [24]
If Teresa drove 936 miles in 13 hours, this would mean she would have driven 72 miles every hour. 72 times 9 equals 648. After 9 hours, she would have driven 648 miles. 
5 0
4 years ago
A cylinder has a volume of 675.1 cubic centimeters. The diameter of the cylinder is 10 cm. What is the height of the cylinder? (
WARRIOR [948]

Answer:

8.6 cm

Step-by-step explanation:

V=pi r-squared h

diameter of 10 means radius of 5

675.1=3.14x5x5xh

675.1=78.5h

8.6

5 0
3 years ago
there are 3 packages of pasta and one-third of a fourth package of pasta. write a mixed number that represents the amount of pac
mash [69]
A mixed number is 1 3/4.
7 0
3 years ago
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