Solved on Feb 27, 2024

29. Mikaela's scores were $89, 90, 92$ . What should her last score be to get an average of at least $91$ ? a. $93$ and above b. $92$ and above c. $92$ and below d. $93$ and below
30. To solve $-5x > 15$ , which property of inequality should be used? a. addition property b. multiplication property c. transitive property d. reflexive property

STEP 1

Assumptions for problem 29
1. Mikaela's scores in the first three tests are 89, 90, and 92.
2. The average score Mikaela wants to achieve is at least 91.
3. There are four tests in total.

STEP 2

First, we need to calculate the total score Mikaela needs to achieve an average of at least 91 over four tests.
$Average\, score = \frac{Total\, score}{Number\, of\, tests}$

STEP 3

Now, plug in the average score and the number of tests to find the total score needed.
$Total\, score = Average\, score \times Number\, of\, tests$
$Total\, score = 91 \times 4$

STEP 4

Calculate the total score needed.
$Total\, score = 91 \times 4 = 364$

STEP 5

Next, we need to find the total score Mikaela has already achieved from the first three tests.
$Total\, score\, so\, far = 89 + 90 + 92$

STEP 6

Calculate the total score so far.
$Total\, score\, so\, far = 89 + 90 + 92 = 271$

STEP 7

Now, we can find the score Mikaela needs on the last test to reach the total score of 364.
$Score\, needed\, for\, last\, test = Total\, score - Total\, score\, so\, far$

STEP 8

Plug in the values to calculate the score needed for the last test.
$Score\, needed\, for\, last\, test = 364 - 271$

STEP 9

Calculate the score needed for the last test.
$Score\, needed\, for\, last\, test = 364 - 271 = 93$
Mikaela needs to score 93 on the last test to achieve an average of at least 91. Therefore, the answer is: a. 93 and above

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STEP 1

Assumptions for problem 29
1. Mikaela's scores in the first three tests are 89, 90, and 92.
2. The average score Mikaela wants to achieve is at least 91.
3. There are four tests in total.

STEP 2

First, we need to calculate the total score Mikaela needs to achieve an average of at least 91 over four tests.
$Average\, score = \frac{Total\, score}{Number\, of\, tests}$

STEP 3

Now, plug in the average score and the number of tests to find the total score needed.
$Total\, score = Average\, score \times Number\, of\, tests$
$Total\, score = 91 \times 4$

STEP 4

Calculate the total score needed.
$Total\, score = 91 \times 4 = 364$

STEP 5

Next, we need to find the total score Mikaela has already achieved from the first three tests.
$Total\, score\, so\, far = 89 + 90 + 92$

STEP 6

Calculate the total score so far.
$Total\, score\, so\, far = 89 + 90 + 92 = 271$

STEP 7

Now, we can find the score Mikaela needs on the last test to reach the total score of 364.
$Score\, needed\, for\, last\, test = Total\, score - Total\, score\, so\, far$

STEP 8

Plug in the values to calculate the score needed for the last test.
$Score\, needed\, for\, last\, test = 364 - 271$

STEP 9

Calculate the score needed for the last test.
$Score\, needed\, for\, last\, test = 364 - 271 = 93$
Mikaela needs to score 93 on the last test to achieve an average of at least 91. Therefore, the answer is: a. 93 and above

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STEP 1

Assumptions for problem 291. Mikaela's scores in the first three tests are 89, 90, and 92.2. The average score Mikaela wants to achieve is at least 91.3. There are four tests in total.

STEP 2

First, we need to calculate the total score Mikaela needs to achieve an average of at least 91 over four tests.Average score=Total scoreNumber of testsAverage\, score = \frac{Total\, score}{Number\, of\, tests}Averagescore=NumberoftestsTotalscore​

STEP 3

Now, plug in the average score and the number of tests to find the total score needed.Total score=Average score×Number of testsTotal\, score = Average\, score \times Number\, of\, testsTotalscore=Averagescore×NumberoftestsTotal score=91×4Total\, score = 91 \times 4Totalscore=91×4

STEP 4

Calculate the total score needed.Total score=91×4=364Total\, score = 91 \times 4 = 364Totalscore=91×4=364

STEP 5

Next, we need to find the total score Mikaela has already achieved from the first three tests.Total score so far=89+90+92Total\, score\, so\, far = 89 + 90 + 92Totalscoresofar=89+90+92

STEP 6

Calculate the total score so far.Total score so far=89+90+92=271Total\, score\, so\, far = 89 + 90 + 92 = 271Totalscoresofar=89+90+92=271

STEP 7

Now, we can find the score Mikaela needs on the last test to reach the total score of 364.Score needed for last test=Total score−Total score so farScore\, needed\, for\, last\, test = Total\, score - Total\, score\, so\, farScoreneededforlasttest=Totalscore−Totalscoresofar

STEP 8

Plug in the values to calculate the score needed for the last test.Score needed for last test=364−271Score\, needed\, for\, last\, test = 364 - 271Scoreneededforlasttest=364−271

STEP 9

Calculate the score needed for the last test.Score needed for last test=364−271=93Score\, needed\, for\, last\, test = 364 - 271 = 93Scoreneededforlasttest=364−271=93Mikaela needs to score 93 on the last test to achieve an average of at least 91. Therefore, the answer is: a. 93 and above

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Assumptions for problem 29
1. Mikaela's scores in the first three tests are 89, 90, and 92.
2. The average score Mikaela wants to achieve is at least 91.
3. There are four tests in total.

First, we need to calculate the total score Mikaela needs to achieve an average of at least 91 over four tests.
$Average\, score = \frac{Total\, score}{Number\, of\, tests}$

Now, plug in the average score and the number of tests to find the total score needed.
$Total\, score = Average\, score \times Number\, of\, tests$
$Total\, score = 91 \times 4$

Calculate the total score needed.
$Total\, score = 91 \times 4 = 364$

Next, we need to find the total score Mikaela has already achieved from the first three tests.
$Total\, score\, so\, far = 89 + 90 + 92$

Calculate the total score so far.
$Total\, score\, so\, far = 89 + 90 + 92 = 271$

Now, we can find the score Mikaela needs on the last test to reach the total score of 364.
$Score\, needed\, for\, last\, test = Total\, score - Total\, score\, so\, far$

Plug in the values to calculate the score needed for the last test.
$Score\, needed\, for\, last\, test = 364 - 271$

Calculate the score needed for the last test.
$Score\, needed\, for\, last\, test = 364 - 271 = 93$
Mikaela needs to score 93 on the last test to achieve an average of at least 91. Therefore, the answer is: a. 93 and above