What is the relationship between ratios 10/24 and 5/12, proportional or non-proportional? A. Proportional B. Non-proportional

Answers

Answer 1
Answer:

Answer:  Proportional

Reason: The fractions 5/12 and 10/24 are equal.

To go from 5/12 to 10/24, double both top and bottom

5*2 = 10

12*2 = 24

To go in reverse, divide both parts by 2

10/2 = 5

24/2 = 12


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Leslie’s driveway is 45 meters long. About how many yards long is Leslie’s driveway? Use 1 m ≈ 1.1 yd

Answers

Answer:49.5 meters

Step-by-step explanation:

It is simply 45 x 1.1 for your answer

Find all the real cube roots of 0.000027.A. 0.0009
B. 0.03 and -0.03
C. 0.0009 and -0.0009
D. 0.03

Answers

cube root of 0.000027 is 0.03

Answer:

The answer is the option D

0.03

Step-by-step explanation:

we have

\sqrt[3]{0.000027}

we know that

\sqrt[3]{0.000027}=\sqrt[3]{(27)/(1,000,000)}=\sqrt[3]{(3^(3))/(100^(3))}=(3)/(100)=0.03

3.) Consider the following set of equations:Equation C: y = 2x + 8
Equation D: y = 2x + 2

Which of the following best describes the solution to the given set of equations?
No solution - Is this the answer?
One solution
Two solutions
Infinite solutions

Answers

Yes, the two lines are parallel which makes No solution the correct answer.
the lines are parallel so there is no solution

Two employees claimed to work for the same company. One said that the mean salary at the company was $109,000. The other said that the median salary was $52,000. Which statement is true?A.
They could not possibly work for the same company.

B.
If they did work for the same company, one of them must have received incorrect information.

C.
They could be correct because the mean can be affected by a few very high salaries whereas the median remains in the middle.

D.
They could be correct because the mean is always higher than the median.

Answers

Mean: 109,000
Median: 52,000

C.
They could be correct because the mean can be affected by a few very high salaries whereas the median remains in the middle.

In 1970, a bottle of dishwashing detergent cost $0.50. To answer each of the parts below, assume that the consumer price index (CPI) was 29.6 in 1960, 38.8 in 1970, and 82.4 in 1980.If the price of dishwashing detergent increased at the same rate as the CPI from 1970 to 1980, how much did a bottle of dishwashing detergent cost in 1980? By how much did the price of a bottle of dishwashing detergent increase from 1970 to 1980?

Answers

Given:
1970 price of dish washing detergent in a bottle : $0.50

CPI
1960 = 29.60
1970 = 38.80
1980 = 82.40

(82.40 - 38.80) / 38.80 = 1.124 
1.124 x 100% = 112.4% rate of increase

$0.50 * 112.4% = $0.562 is the 1980 price of the dish washing detergent.

1. Given f(x) = 3x – 4 and g(x)=–2x+7 evaluate:
(fog)(5)

Answers

Answer:

(f o g)(5) = -13

General Formulas and Concepts:

Pre-Alg

  • Order of Operations: BPEMDAS

Algebra I

  • Composition of functions

Step-by-step explanation:

Step 1: Define

f(x) = 3x - 4

g(x) = -2x + 7

(f o g)(5) is f(g(5))

Step 2: Find composite function

  1. Substitute:                     (f o g)(x) = 3(-2x + 7) - 4
  2. Distribute:                      (f o g)(x) = -6x + 21 - 4
  3. Combine like terms:     (f o g)(x) = -6x + 17

Step 3: Solve

  1. Substitute:                    (f o g)(5) = -6(5) + 17
  2. Multiply:                        (f o g)(5) = -30 + 17
  3. Add:                              (f o g)(5) = -13