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pshichka [43]
3 years ago
13

I need help on this During the spring, Nina Milling assembles bicycles at The Wheeler Dealer. She is paid $12.00 for each bicycl

e assembled during a regular work week, $14.00 for each bicycle assembled on a Saturday, and $16.00 for each bicycle assembled on a Sunday. What is her total pay for a week in which she assembled the following number of bicycles? Mon. Tues. Wed. Thurs. Fri. Sat. Sun. 4 7 6 10 8 4 5
Mathematics
2 answers:
frez [133]3 years ago
7 0

Answer:

$556

Step-by-step explanation:

4+7+6+10+8=35

35x12=420

4x14=56

5x16=80

420+56+80=556

nataly862011 [7]3 years ago
3 0

Answer:

$556.

Step-by-step explanation:

So she is paid $12 dollars for every bicycle assembled on a weekday,

paid $14 dollars for every bicycle assembled on Saturday, and is

paid $16 dollars for every bicycle assembled on Sunday.

She assembled 4 on Monday, 7 on Tuesday, 6 on Wednesday, 10 on Thursday, 8 on Friday, 4 on Saturday, and 5 on Sunday.

In other words, she assembled on total of 4+7+6+10+8=35 bicycles during the weekdays. And she assembled 4 on Saturday and 5 on Sunday.

In other words, her total pay is:

\$12(35)+\$14(4)+\$16(5)=\$556

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The correct option which resembles with the given graph is \fbox{\begin\\\ optionA and optionC\\\end{minispace}}.

Further explanation:

From the given graph the it is observed that the interval is [8,11) which is a half open interval or it can be said that it is a half closed interval.

A half closed or a half open interval is an interval in which one end point of the interval is included but the other point is not included.

For example:

In an interval of the form [a,b) the point a is included in the set but the point b is not included in the set.

Similarly, in the interval [8,11) the point 8 is included in the set but the point 11 is not included in the set.

In order to determine the correct option which resembles with given graph form interval for each option.

Option A:

As per the statement in option A the age of the student must be at least 8 years and not more than 11 years that is the age of the student is either 8 years or greater than 8 years and less than 11 years.

As per the above statement the interval formed is \fbox{\begin\\\ [8,11)\\\end{minispace}} in which 8 is included in the set and 11 is not included which means it is a half closed or half opoen interval.

Therefore, \fbox{\begin\\\ optionA\\\end{minispace}} is a correct option.

Option B:

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As per the above statement the interval formed is \fbox{\begin\\\ (8,11)\\\end{minispace}} in which both of the end points are not included in the set which means that it is an open interval.

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Option C:

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From the above statement it is concluded that the time required can be 8 hours or more than 8 hours but it has to be less than 11 hours.

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Therefore, \fbox{\begin\\\ optionC\\\end{minispace}} is a correct option.

Option D:

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As per the above statement the interval formed is \fbox{\begin\\\ (-\infty,8) \bigcup(11,\infty)\\\end{minispace}}.

Therefore, the \fbox{\begin\\\ optionD\\\end{minispace}} is an incorrect option.

So, \fbox{\begin\\\ optionA and optionC\\\end{minispace}} are the correct options which resembles with the given graph.

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Answer details:

Grade: High school

Subject: Mathematics

Chapter: Sets

Keywords: Interval, set, open interval, closed interval, half open interval, half closed interval, set theory, program, community college, babysitters, veterinary clinic, ages, students.

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