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.
Describe three ways to write the ratio that compares 4 electronic devices for every 3 people.
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
9 answers
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
options:
51 = 4 over 20
51 = 20 over 4
5:1 :: 20:4
5 over 4 = 1 over 20
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
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
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
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).
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
A). Both are proportions.
B). Neither is a proportion.
2.5 over 10 = 12 over 48
2.5 over 2 = 12 over 24
To determine if these equations are proportions, we need to check if the cross-products are equal.
-
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.
- Cross-multiply:
-
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.
- Cross-multiply:
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.)
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.
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.
To determine if the given equations are proportions, we will evaluate them using cross-multiplication.
-
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.
- Cross-multiply:
-
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.
- Cross-multiply:
Since both equations are true proportions, the correct choice is:
C). 16 over 8 = 24 over 12, 8 over 4 = 12 over 6.
1 answer