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nlexa [21]
4 years ago
9

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. Determine how many books per month Eric had donated on average between months 3 and 8.
Mathematics
2 answers:
Alecsey [184]4 years ago
7 0

The correct answer is: 11 books per month.

2 of 2 points

Hope this helped.

postnew [5]4 years ago
6 0
To find the average number of books donated per month, we first get the total number of books that Eric has donated within the span of (8 - 3) = 5 months. Since from 157 books, there were only 102 books left after 5 months, that means he has donated (157 - 102) = 55 books. That means that he has donated 55 books within the span of 5 monhs. Thus, the average number of books would be equal to (number of books) / (number of months) = 55 / 5 = 11 books per month. <span>Answer: 11 books</span>
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Is this linear relationship a direct variation?
Talja [164]

Since the ratio of of second variable to the ratio of first variable remains constant i.e y/x =8 so, the linear relationship is direct variation.

Step-by-step explanation:

A relationship is said to have direct variation if ratio of second variable to the ratio of first variable remains constant.

A relationship is direct variation if y=kx\,\,or\,\, \frac{y}{x} =k where k is the constant.

Now checking if the given data is having direct variation or not.

x       y

3       24

4       32

5       40

6       48

Now finding y/x

if y=24 and x = 3 then y/x = 24/3 = 8

if y=32 and x = 4 then y/x =32/4=8

if y=40 and x = 5 then y/x =40/5 =8

if y=48 and x = 6 then y/x =48/6= 8

Since the ratio of of second variable to the ratio of first variable remains constant i.e y/x =8 so, the linear relationship is direct variation.

Keywords: Direct Variation

Learn more about Direct Variation at:

  • brainly.com/question/10708697
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5 0
3 years ago
1, 3, 6, 10, 15 is it arithmetic, geometric or neither
Gekata [30.6K]

The given sequence is neither arithmetic nor geometric.

Further explanation:

In order to check whether a sequence is geometric or arithmetic we have to find the common ratio and common difference respectively

Common difference is the deifference between cunsecutive terms of a sequence while common ratio is the ratio between two consecutive terms.

Common difference is denoted by d and common ratio is denoted by r

  • If the common difference is same then the given sequence is an arithmetic sequence
  • If the common ratio is same then the given sequence is a geometric sequence

Given

1, 3, 6, 10, 15

Common difference:

Here

a_1=1\\a_2=3\\a_3=6\\a_4=10\\a_5=15\\Common\ Difference=a_2-a_1=3-1=2\\a_3-a_2=6-3=3\\a_4-a_3=10-6=4

As the common difference is not same, the given sequence is not an arithmetic sequence

Common Ratio:

r=\frac{a_2}{a_1}=\frac{3}{1}=3\\\frac{a_3}{a_2}=\frac{6}{3}=2\\\frac{a_4}{a_3}=\frac{10}{6}=1.6

As the common ratio is also not same the sequence is not a geometric sequence.

The given sequence is neither arithmetic nor geometric.

Keywords: Arithmetic sequence, Geometric Sequence

Learn more about sequences at:

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7 0
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MakcuM [25]
That is called the multiplicative identity property.
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3 years ago
A water sprinkler sends water out in a circular pattern. Determine how large an area is watered. The radius of watering is 19 fe
olya-2409 [2.1K]

Answer:

Mark me as brainlist

Step-by-step explanation:

A water sprinkler sends water out in a circular pattern. Determine how large an area is watered. The radius of watering is 19 feet. Use 3.14 for radius

 

area=l*b =3.14*19

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kari74 [83]

Answer:

5 slices

Step-by-step explanation:

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