MATHEMATICS HIGH SCHOOL

What is the solution to the following inequality?
-82 ≤ 5v + 3

Answers

Answer 1

Answer:

Answer:

v ≥ -17

Step-by-step explanation:

-82 ≤ 5v + 3

-82 - 3 ≤ 5v

5v ≥ -85

v ≥ -17

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Which equation can be solved to find one of the missing side length in ?

Answers

To find length BC, we can use

cos 60° = adjacent/hypotenuse

cos 60° = a/12

If there are 12 girls and 15 boys in a class, which ratios are true?12 girls to 27 students
5 boys to 9 students
15 boys to 12 girls
3 girls to 5 boys

Answers

Answer:

12 girls to 27 students

5 boys to 9 students

15 boys to 12 girls

Step-by-step explanation:

The first thing we have to know is that the total number of students is 27 .

- 12 girls to 27 students is correct because there are 12 girls out of a total of 27 estudiantes

- 5 boys to 9 students is correct because it uses a common denominator that is 3 (boys: 15 / 3 = 5 and students: 27 /3 = 9)

- 15 boys to 12 girls is saying the same of the statement

The last one 3 girls to 5 boys does not have a common denominator for both factors so this last option is false .

The first three are true

How many solutions does the equation 9(x – 3) = 9x – 27 have?

Answers

Answer:2

Step-by-step explanation:

Angela had 2 cups of flour. She used 1 1/4 cups when making muffins. Angela says she has 3/4 cup of flour left. Is Angela's answer reasonable?

Answers

Angela's answer is reasonable because if you had 2, and you subtracted 1 and 1/4, you would be left with 3/4 left. You can easily check your work by doing
3/4 + 1 1/4 = 2

The ratio of the radii of two circles is 3:7. What is the ratio of their circumferences? A. 1:1 B. 3:7 C. 3:14π D. 6π:7 E. 9:49

Answers

Hey there!!

The ratio radius is given as 3:7

... Let's take the first circle's radius as 3 and the radius of the second's circle as 7.

The formula for the circumference as 2π(radius)

The circumference of the first circle as 2π(3)

... 6π

The circumference of the second circle as 2π(7)

... 14π

Ratio = 6π:14π

... 3:7

Hence, the answer would be option (B)

Hope my answer helps!

Final answer:

The ratio of the circumferences of two circles is the same as the ratio of their radii. In this case, where the ratio of the radii is 3:7, the ratio of their circumferences will also be 3:7.

Explanation:

The ratio of the circumferences of two circles is equal to the ratio of their radii assuming all measurements are in the same units. This relationship is due to the formula for the circumference of a circle, C=2πr, where C is the circumference and r is the radius. Seeing this formula, we can ascertain that if we increase the radius, we increase the circumference by the same factor. Therefore, if the ratio of the radii of two circles is 3:7, the ratio of their circumferences will thereon also be 3:7.