MATHEMATICS HIGH SCHOOL

From the digits 9, 8, 7, 5, 3, and 1, find the number of positive integers, each consisting of three digits

Answers

Answer 1
Answer: if we can repeat
6 numbers
6*6*6=216 ways

therea re 216 different 3 digit numbers you can make if we can repeat

if we cannot repeat
6*5*4=120, 120 ways if we cannot repeat numbers
Answer 2
Answer: 216 and 120 since you didn't give the questions.

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What's the answer too x+7/7x+35*x^2-3x-40/x-8

Megan’s par scores for five rounds of a golf game were –4, –3, 5, –3, and 2. What was her final score?

A.
–13

B.
–3

C.
17

D.
–17

Answers

Her score was B: -3

This is because: -4-3+5-3+2=-3




Hope it is helpful :)

Solve the inequality. 4(x – 3) – 2x ≥ 5 – (x + 2)

Answers

4(x-3)-2x\geq5-(x+2)\n\n4x-12-2x\geq5-x-2\n\n2x-12\geq3-x\ \ \ \ /+12\n\n2x\geq15-x\ \ \ \ /+x\n\n3x\geq15\ \ \ \ /:3\n\nx\geq5\n\nx\in\left< 5;\ \infty\right)
4(x - 3) - 2x \geq5 - (x + 2)\n 4x-12-2x\geq5-x-2\n 3x\geq15\n x\geq5

Which expression is equivalent to 7/12(24 - 12m) - 1/3(21m + 27)? 5
7m+2
-14m+5
-14m+23

Answers

The requried simplified equivalent expression to the given expression is -14m+5. Option C is correct.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression,
= 7/12(24 - 12m) - 1/3(21m + 27)

Simplifying the above expression,
= 14 - 7m - (7m + 9)
= 14 - 9 -7m -7m
= 5 - 14m or -14m + 5

Thus, the requried simplified equivalent expression to the given expression is -14m+5. Option C is correct.

Learn more about simplification here:

brainly.com/question/12501526

#SPJ6
⁷/₁₂(-12m + 24) - ¹/₃(21m + 27)
⁷/₁₂(-12m) + ⁷/₁₂(24) - ¹/₃(21m) - ¹/₃(27)
-7m + 14 - 7m - 9
-7m - 7m + 14 - 9
-14m - 5

Convert to fractional notation
1 4/7

Answers

1 4/7 is equivalent to 11/7.

Adam runs 4 miles in 20 minutes. How many miles does he run in 1 hour?

​

Answers

Answer: Adam will run 12 miles in 1 hour.

Step-by-step explanation:

Ok, so we know 4 miles in 20 minutes, correct?

Multiply 20x2. You will get 40. Then, multiply 4x2. That is 8. So in 40 minutes he ran 8 miles. So if we multiply 20x3, we would get 60 minutes which is an hour. So we need to multiply 4 by 3–12.

Answer: 12 miles

Step-by-step explanation:

A salesman sells cars with prices ranging from $5,000 to $45,000. the histogram shows the distribution of the numbers of cars he expects to sell over the next 10 years. how would the shape of the distribution change if the salesman decides to also deal in cars priced under $5,000 and in cars $45,000 to $50,000 and projects sales of 200 cars in each category?

a. the distribution will exhibit symmetry.

b. the distribution will exhibit a positive skew.

c. the distribution will exhibit a negative skew.

d. the distribution will uniform throughout.

Answers

In the given histogram, the shape of the histogram shows that the shape of the distribution exhibits symmetry (i.e. the shorter bars are to the left and to the right while the longer bars are in the middle). Adding the sales of cars priced under $5,000 and cars priced $45,000 to $50,000 with projected sales of 200 cars for each category will result in adding bars of the same size as the shortest bar to both ends of the histogram. This will not affect the initial shape of the distribution in the histogram as the distribution will still exhibit symmetry. Therefore, the correct answer to the question is "the distribution will exhibit symmetry" (option a).
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