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Pavlova-9 [17]
2 years ago
8

Rex is currently taking physics as one of his electives in school. His grade at the end of the year is determined by the average

of four exams, each worth 100 points. On his first test he got an 84, on his second he got a 86, and on his third an 92. What must he score on his fourth exam to get an A (90%) in the course?
A) 98
B) 90
C) 88
D) 86
Mathematics
2 answers:
frozen [14]2 years ago
6 0

Answer:

The answer would be A)98.

I got this by taking the 3 test scores that were provided and adding them then subtracting that by 360 (90x4 - which would give you a 90 in the end) so I had 360 - 262 which equaled 98 and that would be the score needed to have a 90 in the end.

andre [41]2 years ago
3 0

\huge \bf༆ Answer ༄

Total points is equal to :

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:100 \times 4

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:400 \:  \: points

90 % score is ~

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: \dfrac{90}{100}  \times 400

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:90 \times 4

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:360 \:  \: points

So, he has to get a total of 360 points to maintain 90% score.

let's assume his score in 4th test be ' x '

According to above conditions ~

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:x + 84 + 86 + 92 = 360

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:x + 262 = 360

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:x = 360 - 262

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:x = 98

So, he must score 98 marks in the fourth test to achieve A (90%) in the course.

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lilavasa [31]
Let us formulate the independent equation that represents the problem. We let x be the cost for adult tickets and y be the cost for children tickets. All of the sales should equal to $20. Since each adult costs $4 and each child costs $2, the equation should be

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When x=0,
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When x=2,
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When x=3,
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                  1                                                    8
                  2                                                    6
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