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Tju [1.3M]
3 years ago
14

Wendy has taken two tests with scores of 77 and 80. To get an 82

Mathematics
1 answer:
tiny-mole [99]3 years ago
3 0

Answer:

89

Step-by-step explanation:

Given that Wendy took 2 tests and scored, 77 and 80 respectively, let x represent the grade of Wendy's third test.

To get an average grade of 82, let's generate an equation to find x (Wendy's grade on her third test).

Average grade = sum of all 3 grades all over 3

82 = \frac{77 + 80 + x}{3}

82 = \frac{157 + x}{3}

Multiply 3 by both sides

82*3 = \frac{157 + x}{3}*3

246 = 157 + x

Subtract 157 from each side of the equation

246 - 157 = 157 + x - 157

89 = x

Wendy must score 89 on her third test to have an average of 82.

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All you do is add a negative sign to 80/49 and then simplifiy
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4 years ago
To which subset of real numbers does -3 belong?
inessss [21]
<h3>Answer: C) integers and rational numbers</h3>

Explanation:

The set of integers is {..., -3, -2, -1, 0, 1, 2, 3, ...} basically any number that does not have a decimal or fractional part to it. We can say that this set is composed of positive and negative whole numbers along with 0. So this is why -3 is in the set of integers.

The value -3 is not in the set of whole numbers because the set of whole numbers is {0, 1, 2, 3, 4, 5, 6, ...}, so this rules out choice D.

Choice B is also eliminated because -3 is a rational number. We can write -3 as a fraction of two integers, example: -3 = -3/1. Any rational number is not irrational, and vice versa.

Choice A is ruled out because it's not the most complete answer (though its technically true).

8 0
3 years ago
The table lists the heights (in centimeters) of preschool girls and boys on a playground. Heights of Preschool Boys (centimeters
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Answer:

B. The difference of the medians is about one-fourth the interquartile range of either data set

Step-by-step explanation:

Given the heights of preschool boys in cms

105.1 104.8 101.3 87 86.7 95 93.8 92.1 92.4 100

Arrange them in ascending order

86.7 87 92.1 92.4 93.8 95 100 101.3 104.8 105.1

Median = 93.8: Q1 = 87:Q3=101.3

IQR = Q3-Q1 = 4.3

Given the heights of preschool girls in cms

 85.2 90.3 99.6 98.6 97.5 101.7 102.9 89.4 107 92

Arrange them in ascending order

 85.2 89.4 90.3 92 97.5 98.6 99.6 101.7 102.9 107

Median = 97.5: Q1 = 89.4:Q3=101.7

IQR = 4.2

Differnce in the medians = 3.7

Diff in IQR = 0.1

B. The difference of the medians is about one-fourth the interquartile range of either data set because

0.4 = 4(0.1)

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4 years ago
Last year’s spell-a-thon spelling test for a first grade class had 15% more words with four or more letters than this year‘s spe
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Yes the answer is 25%
8 0
3 years ago
The equation d = 22.5n + 27.5 represents the amount of money, in dollars, that Kathryn earns for each sale she makes. The variab
LenKa [72]

Answer:

C.) 21

Step-by-step explanation:

d = 22.5n + 27.5

Where d is the total amount of money earned and n is the number of items sold

Substitute:

500 = 22.5n + 27.5

We can substitute 500 for d because 500 is the total amount of money Kathryn wants to earn

Solve:

500 = 22.5n + 27.5

Subtract 27.5 on both sides:

500 = 22.5n + 27.5

-27.5               -27.5

472.5‬ = 22.5n

Divide by 22.5 on both sides:

472.5‬ = 22.5n

/22.5    /22.5

21 = n

Therefore, Kathryn must sell 21 items to make $500.

3 0
3 years ago
Read 2 more answers
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