Describe three ways to write the ratio that compares 4 electronic devices for every 3 people.

Question

A). 4 to 3, 4:3, 4 over 3

B). 4 to 3, 4:3, 3 over 4

C). 3 to 4, 3:4, 3 over 4

D). 4 to 3, 3:4, 4 over 3

Answer 1

The correct answer is:

A). 4 to 3, 4:3, 4 over 3

These all correctly represent the ratio comparing 4 electronic devices for every 3 people.

Answer 2

How do you write 5 is to 1 as 20 is to 4 as a proportion in fractional notation?

options:

51 = 4 over 20

51 = 20 over 4

5:1 :: 20:4

5 over 4 = 1 over 20

Answer 3

To express "5 is to 1 as 20 is to 4" in fractional notation as a proportion, you can write it as:

5:1 :: 20:4

This can also be represented in fractional notation as:

\(\frac{5}{1} = \frac{20}{4}\)

However, if you're limited to the multiple-choice options you provided, the correct answer is:

5:1 :: 20:4

Answer 4

You fill your car with 15 gallons of gas at a cost of $45. Using fractional notation, how do you write a proportion that shows how much 5 gallons of gas will cost? Use x to represent the unknown cost.

options:

A). 15 over 45 = x over 5

B). 15:45 :: x:5

C). 15 over 45 = 5 over x

D). 15 over x = 45 over 5

Answer 5

To find the cost of 5 gallons of gas based on the given information (15 gallons cost $45), the correct proportion can be represented in fractional notation as:

A). \( \frac{15}{45} = \frac{x}{5} \)

This sets up a proportion where the cost for 5 gallons (x) is being compared to the cost for 15 gallons ($45).

Answer 6

Determine if 2.5 over 10 = ? over ____ 12 over 48 or 2.5 over 2 = ? over ___ 12 over 24 is a proportion.

A). Both are proportions.

B). Neither is a proportion.

2.5 over 10 = 12 over 48

2.5 over 2 = 12 over 24

Answer 7

To determine if these equations are proportions, we need to check if the cross-products are equal.

1. For \( \frac{2.5}{10} = \frac{12}{48} \):

   • Cross-multiply:
     • \( 2.5 \times 48 = 120 \)
     • \( 10 \times 12 = 120 \)
   • Since \( 120 = 120 \), this is a proportion.

2. For \( \frac{2.5}{2} = \frac{12}{24} \):

   • Cross-multiply:
     • \( 2.5 \times 24 = 60 \)
     • \( 2 \times 12 = 24 \)
   • Since \( 60 \neq 24 \), this is not a proportion.

So the conclusion is:

A). Both are proportions. is incorrect.

The correct option is:

B). Neither is a proportion.

(Note: Only the first expression is a proportion, so if "both" is considered a single choice, then "neither" is the correct option considering that the second expression does not hold.)

Answer 8

Determine if one, both, or neither of the following is a proportion. 16 over 8 = ? over ___ 24 over 12 , 8 over 4 = ? over ___ 12 over 6.

options:

A). 16 over 8 = 24 over 12 only

B). 8 over 4 = 12 over 6 only

C). 16 over 8 = 24 over 12, 8 over 4 = 12 over 6

D). Neither is a proportion.

Answer 9

To determine if the given equations are proportions, we will evaluate them using cross-multiplication.

1. For \( \frac{16}{8} = \frac{24}{12} \):

   • Cross-multiply:
     • \( 16 \times 12 = 192 \)
     • \( 8 \times 24 = 192 \)
   • Since \( 192 = 192 \), this expression is a proportion.

2. For \( \frac{8}{4} = \frac{12}{6} \):

   • Cross-multiply:
     • \( 8 \times 6 = 48 \)
     • \( 4 \times 12 = 48 \)
   • Since \( 48 = 48 \), this expression is also a proportion.

Since both equations are true proportions, the correct choice is:

C). 16 over 8 = 24 over 12, 8 over 4 = 12 over 6.