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LenaWriter [7]
3 years ago
14

Stefan won 54 lollipops playing hoops at the county fair. At school he gave three to every student in his math class. He only ha

s 9 remaining. How many students are in his class? show work
Mathematics
1 answer:
Natalka [10]3 years ago
3 0
54 - ? = 9
? = 45
45 divide 3 is 15
15 people
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Complete the recursive formula of the arithmetic sequence - 1, - 13, - 25, - 37
barxatty [35]

Answer:

The recursive formula is aₙ=aₙ₋₁ -12  

Step-by-step explanation:

Recursion is a process in which each step of a pattern depends on the step or the previous steps. So a recursive sequence is a sequence where terms are defined using one or more previous terms that are given.

So a recursive formula allows you to find any term in an arithmetic sequence using a function of the previous term, where each term is the sum of the previous term and the common difference.

So, in this case you can see the common difference of all the terms by doing the following calculations between a term and its previous value:

-13-(-1)=-13+1=-12

-25-(-13)=-25+13=-12

-37-(-25)=-37+25=-12

The common difference is -12

So, <u><em>the recursive formula is aₙ=aₙ₋₁ -12   where each term is the same to the previous term minus 12.</em></u>

7 0
3 years ago
Which graph represents a function?
UkoKoshka [18]
<h3>Answer:  Lower right corner (ie southeast corner)</h3>

In this graph, it is impossible to draw a single straight vertical line through more than one point on the yellow line. Therefore, we conclude that this graph passes the vertical line test, which indicates we have a function.

In contrast, the upper left corner fails the vertical line test. Note the left-most pair of points are vertically stacked together. A single vertical line goes through these two points. So this is one possible way to show the graph does not pass the vertical line test, and thereby making this not a function. The upper right corner and lower left corner has the same idea as the upper left corner, so they aren't functions either.

5 0
3 years ago
Emily purchased 5 packages of bottled water for $14.95. Each package of bottled water cost the same amount.What is the cost per
attashe74 [19]

Answer:

$2.9

Step-by-step explanation:

<u>Given the following data;</u>

Total cost of package = $14.50

Number of package = 5

To find the cost of each package;

Cost \; per \; package = \frac {Total \; cost \; of \; package}{Number \; of \; package}

Substituting into the equation, we have;

Cost \; per \; package = \frac {14.5}{5}

Cost per package = $2.9

<em>Therefore, the cost per package of bottled water is $2.9.</em>

3 0
3 years ago
A segment is 3 units long. It is divided into 9 parts. What fraction of a unit are 2 parts of the segment?
Dima020 [189]
Hi there!

First, let's figure out how long one part would be.

WORK:
3 = 9x
x = 3/9 or 1/3 of a unit

Next, we can multiply one part by 2 to figure out how long two parts would be.

WORK:
1/3 x 2
2/3

ANSWER:
2 parts of a segment is 2/3 of a unit

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
4 0
3 years ago
The base of a solid is the region enclosed by y = e^x, the x-axis, the y-axis, and the
anyanavicka [17]

Answer:

You can use the definite integral to find the volume of a solid with specific cross sections on an interval, provided you know a formula for the region determined by each cross section. If the cross sections generated are perpendicular to the x‐axis, then their areas will be functions of x, denoted by A(x). The volume ( V) of the solid on the interval [ a, b] is

3 0
3 years ago
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