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harkovskaia [24]
3 years ago
11

A volleyball league organizer collected $2,040 for both divisions of volleyball teams.teams.the blue division costs &160 per

team and the red division costs $180 per team how many teams will play in each division
Mathematics
1 answer:
evablogger [386]3 years ago
4 0

A volleyball league organizer collected $2,040 for both divisions of volleyball teams. The Blue division costs $160 per team and the Red division cost $180 per team. How many teams will play in each division.

<h3><u>Answer:</u></h3>

6 teams will play in each division

<h3><u>Solution:</u></h3>

Given that volleyball league organizer collected $2,040 for both divisions of volleyball teams

The blue division costs $160 per team

The Red division cost $180 per team.

Let the number of blue teams be "b"

Let the number of red teams be "r"

Total cost = number of blue teams x cost of blue division per team + number of red teams x cost of red division per team

Total cost = 160b + 180r

2040 = 160b + 180r

Assuming both divisions have the same number of teams, we substitute b = r = x

2040 = 160x + 180x

2040 = 340x

x = 6

So 6 teams will play in each division

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Kenny's scores the first 5 times he played a video game are listed below. 38, 51, 64, 77, 90 Kenny's scores follow a pattern. If
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Kenny's score on his 72nd game played is 961

<em><u>Solution:</u></em>

Given that the first 5 score of Kenny are listed below:

38, 51, 64, 77, 90

Kenny's scores follow a pattern

<em><u>To find: Kenny's score on his 72nd game played</u></em>

Let us first find the pattern followed

38, 51, 64, 77, 90

<em><u>Find the difference between terms</u></em>

51 - 38 = 13

64 - 51 = 13

77 - 64 = 13

90 - 77 = 13

So the difference between terms is constant

So the sequence is arithmetic sequence

An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant

<em><u>The formula for nth term of arithmetic sequence is given as:</u></em>

a_n = a_1 + (n-1)d

a_n = the nᵗʰ term in the sequence

a_1 = the first term in the sequence

d = the common difference between terms

Here d = 13 and a_1 = 38

So we get,

a_n = 38 + (n-1) \times 13

<em><u>To find the score of 72nd game, substitute n = 72</u></em>

a_{72} = 38 + (72-1) \times 13\\\\a_{72} = 38 + 71 \times 13\\\\a_{72} = 38 + 923\\\\a_{72} = 961

Thus Kenny's score on his 72nd game played is 961

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The expression "ma" is the same as "m*a" (m times a). To isolate 'a', we divide both sides by m. Division is the inverse operation of multiplication. Think of it as undoing multiplication

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F/m = m*a/m
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a = F/m

Answer: a = F/m
Note: the slash "/" without quotes means "divide"

===========================================
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Use the result from part A. We will plug F = -24 and m = 10 into that equation

a = F/m
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Answer: -2.4

===========================================
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3 years ago
What is the range for this set of data? 7, 15, 12Mrs. Juarez graded ten English papers and recorded the scores. 92, 95, 100, 62,
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Answer:

Following are the solution to the given question:

Step-by-step explanation:

Please find the complete question in the attached file.

Arrange the value into the ascending order:

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Calculating the Range:

= Greatest - Lowest\\\\= 100 - 62\\\\ = 38

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Option b is "True".

Option c is "True".

Option d is "False".

Option e is "False".

Option f is "True".

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