Your math test scores are 68, 78, 90, and 91. What is the lowest score you

klytamnestra9a

klytamnestra9a

Answered question

2021-11-19

Your math test scores are 68, 78, 90, and 91.
What is the lowest score you can earn on the next test and still achieve an average of at least 85?
Getting an Answer Solve your inequality to find the lowest score you can earn on the next test and still achieve an average of at least 85.
What score do you need to earn?

Answer & Explanation

Dona Hall

Dona Hall

Beginner2021-11-20Added 15 answers

Step 1
68+78+90+91+x585
68+78+90+915×85
327+x425
x98
So, the minimum score required to have an average of at lest 85 is 98.
Twereen

Twereen

Beginner2021-11-21Added 13 answers

Step 1
Assuming the grade wont
user_27qwe

user_27qwe

Skilled2021-11-24Added 375 answers

Step 1

Math test scores are 68, 78, 90 and 91

Average of five scores have to be at least 85.

Step 2

Let the unknown score be x

Average=Total marksnumber of counts

For at least, one have to use

Therefore

68+78+90+91+x585

327+x425

x98

So the lowest score is 98.

fudzisako

fudzisako

Skilled2023-05-28Added 105 answers

Step 1:
Let's denote the score you need to earn on the next test as x.
The average score of all the tests can be calculated by adding up all the scores and dividing by the number of tests. Since there are 4 tests with scores 68, 78, 90, and 91, the average is given by:
68+78+90+91+x5
To achieve an average of at least 85, this expression must be greater than or equal to 85. Therefore, we can write the inequality:
68+78+90+91+x585
Step 2:
To solve this inequality, we can first multiply both sides by 5 to eliminate the fraction:
68+78+90+91+x85×5
Simplifying the right side:
68+78+90+91+x425
Combining like terms:
x+327425
Step 3:
Next, we isolate the variable x by subtracting 327 from both sides of the inequality:
x425327
x98
Therefore, the lowest score you need to earn on the next test to achieve an average of at least 85 is 98.
xleb123

xleb123

Skilled2023-05-28Added 181 answers

Result:
98
Solution:
Let's denote the score on the next test as x. The average of all the test scores should be at least 85, so we can write the inequality as:
68+78+90+91+x585
To solve this inequality, we can start by simplifying the left side of the equation:
327+x585
Next, we can multiply both sides of the inequality by 5 to eliminate the fraction:
327+x425
To isolate x, we subtract 327 from both sides of the inequality:
x425327
Simplifying further, we have:
x98
Therefore, the lowest score you need to earn on the next test to achieve an average of at least 85 is 98.

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