Question
Write the ratio 12:36
as an equivalent ratio of x:3
.(1 point)
To write the ratio 12:36 as an equivalent ratio of x:3, we need to find a common multiplier that can be used to multiply both 12 and 36 to make the second number equal to 3.
First, let's simplify the ratio 12:36 by dividing both numbers by their greatest common factor, which is 12:
12 ÷ 12 = 1
36 ÷ 12 = 3
So the simplified ratio is 1:3.
To find the common multiplier, we divide the desired second number (3) by the current second number (3):
3 ÷ 3 = 1
Now, we can multiply both numbers in the ratio by this common multiplier to create the equivalent ratio:
1 × 1 = 1
3 × 1 = 3
Therefore, the equivalent ratio of 12:36 as x:3 is 1:3.
The ratio 12:36 can be simplified by dividing both numbers by their greatest common factor, which is 12.
12 ÷ 12 = 1
36 ÷ 12 = 3
So the simplified ratio is 1:3.
To find the equivalent ratio of x:3, we need to find what value of x would make the ratio equivalent.
Since 1 corresponds to x, we get the equation:
1/x = 1/3
Cross-multiplying, we have:
3 = x
Therefore, the equivalent ratio of 12:36 as x:3 is x:3 = 3:3.
Write the ratio 12:36
as an equivalent ratio of x:3
.(1 point)
Write the ratio 12:36
as an equivalent ratio of x:3
.(1 point)
To find the equivalent ratio of 12:36 as x:3, we first simplify the given ratio by dividing both numbers by their greatest common factor, which is 12.
12 ÷ 12 = 1
36 ÷ 12 = 3
So, the simplified ratio is 1:3.
Now, we need to find the value of x that corresponds to 1 in the ratio 1:3. We can set up a proportion:
1/x = 1/3
Cross-multiplying, we have:
3 = x
Therefore, the equivalent ratio of 12:36 as x:3 is x:3 = 3:3.
How do you write 4 is to 16 as 12 is to 48 as a proportion in fractional notation? Do not simplify your answer.(1 point)
To write the ratio 4 is to 16 as 12 is to 48 as a proportion in fractional notation, we set up the following equation:
4/16 = 12/48
A company pays their employees $20 per hour. Using fractional notation, write a proportion that represents how long an employee must work to make $80. Use x
to represent the unknown number of hours.(1 point)
Responses
To represent how long an employee must work to make $80 using fractional notation, we can set up the following proportion:
$20 / 1 hour = $80 / x hours
In fractional notation, this can be written as:
20/1 = 80/x
Question
Which of the following, Option 1 or Option 2, is a proportion?
Option 1: 78=2022
Option 2: 78=2124
Neither Option 1 nor Option 2 is a proportion because in both cases, there is only one equation stated without any relationship or comparison between two different quantities. In a proportion, there should be two ratios or fractions that are equal to each other.
Describe three ways to write the ratio that compares 4 electronic devices for every 3 people.(1 point)
Responses
4 to 3, 4:3, 34
4 to 3, ratio of 4 to 3 , Start fraction 3 over 4 end fraction
4 to 3, 3:4, 43
4 to 3, ratio of 3 to 4 , Start fraction 4 over 3 end fraction
3 to 4, 3:4, 34
To write the ratio that compares 4 electronic devices for every 3 people, you could use the following three ways:
1. 4:3 - This is a simple ratio notation where the number of electronic devices (4) is written before the colon and the number of people (3) is written after the colon.
2. 4 to 3 - This is another way to express the ratio, indicating that there are 4 electronic devices for every 3 people.
3. 3/4 or 4/3 - These are fraction notations where the number of people (3) is placed in the numerator and the number of electronic devices (4) is placed in the denominator. The first notation, 3/4, indicates that there are 3 people for every 4 electronic devices, while the second notation, 4/3, indicates that there are 4 electronic devices for every 3 people.
Please note that the last suggestion in your response, 34 or 43, does not accurately represent the ratio and is not one of the three valid ways to write the ratio.
Describe three ways to write the ratio that compares 4 electronic devices for every 3 people.(1 point)
Responses
4 to 3, 4:3, 34
4 to 3, ratio of 4 to 3 , Start fraction 3 over 4 end fraction
4 to 3, 3:4, 43
4 to 3, ratio of 3 to 4 , Start fraction 4 over 3 end fraction
3 to 4, 3:4, 34
3 to 4, ratio of 3 to 4 , Start fraction 3 over 4 end fraction
4 to 3, 4:3, 43
To write the ratio that compares 4 electronic devices for every 3 people, you could use the following three ways:
1. 4:3 - This is a simple ratio notation where the number of electronic devices (4) is written before the colon and the number of people (3) is written after the colon.
2. 4 to 3 - This is another way to express the ratio, indicating that there are 4 electronic devices for every 3 people.
3. 4/3 or 3/4 - These are fraction notations where the number of electronic devices (4) is placed in the numerator and the number of people (3) is placed in the denominator. The first notation, 4/3, indicates that there are 4 electronic devices for every 3 people, while the second notation, 3/4, indicates that there are 3 people for every 4 electronic devices.
Please note that the last suggestion in your response, 43, is not a valid way to write the ratio.
Describe three ways to write the ratio that compares 4 electronic devices for every 3 people.(1 point)
Responses
A. 4 to 3, 4:3, 34
4 to 3, ratio of 4 to 3 , Start fraction 3 over 4 end fraction
D. 4 to 3, 3:4, 43
4 to 3, ratio of 3 to 4 , Start fraction 4 over 3 end fraction
B. 3 to 4, 3:4, 34
3 to 4, ratio of 3 to 4 , Start fraction 3 over 4 end fraction
C. 4 to 3, 4:3, 43
To write the ratio that compares 4 electronic devices for every 3 people, you could use the following three ways:
A. 4 to 3, 4:3 – This notation indicates that for every 4 electronic devices, there are 3 people.
B. 3 to 4, 3:4 – This notation indicates that for every 3 people, there are 4 electronic devices.
C. 4/3 or 3/4 – These fraction notations indicate the ratio in terms of a fraction. The first notation, 4/3, represents that for every 4 electronic devices, there are 3 people. The second notation, 3/4, represents that for every 3 people, there are 4 electronic devices.
Please note that the options presented in this response are labeled A, B, and C for clarity, and the last suggestion in your response, option D, is not a valid way to write the ratio.