Write the ratio that compares 36 social media posts to 16 social media posts using fractional notation. Simplify the improper fraction to lowest terms.
To write "5 is to 1 as 20 is to 4" as a proportion in fractional notation, we can set up the equation:
$\frac{5}{1} = \frac{20}{4}$
Write the ratio 12:36 as an equivalent ratio of x:3
To find the equivalent ratio of 12:36 as a ratio of x:3, we can set up a proportion.
12:36 = x:3
To solve for x, we can cross-multiply:
12 * 3 = 36 * x
36 = 36x
Now, we can isolate x by dividing both sides of the equation by 36:
36/36 = 36x/36
1 = x
Therefore, the equivalent ratio of 12:36 as a ratio of x:3 is 1:3.
How do you write 4 is to 16 as 12 is to 48 as a proportion in fractional notation? Do not simplify your answer
To write "4 is to 16 as 12 is to 48" as a proportion in fractional notation, we can set up the equation:
$\frac{4}{16} = \frac{12}{48}$
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
20x=1/80
20 over x is equal to 1 over 80
1/20=80/x
1 over 20 is equal to 80 over x
80/1=20/x
80 over 1 is equal to 20 over x
20/1=80/x
20 over 1 is equal to 80 over x
Describe three ways to write the ratio that compares 4 electronic devices for every 3 people.(1 point)
Responses
4 to 3, 3:4, 43
4 to 3, 4:3, 4/3
4 to 3, 4:3, 3/4
3 to 4, 3:4, 3/4
Three ways to write the ratio that compares 4 electronic devices for every 3 people are:
1) 4 to 3
2) 4:3
3) 4/3
How do you write 5 is to 1 as 20 is to 4 as a proportion in fractional notation?(1 point)
Responses
54=1/20
51=4/20
5:1 :: 20:4
51=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.
15x=45/5
15:45::x:5
15/45=x/5
15/45=5/x
To represent the proportion that shows how much 5 gallons of gas will cost using fractional notation, the equation is:
$\frac{15}{45} = \frac{x}{5}$
Which of the following, Option 1 or Option 2, is a proportion?
Option 1: 7/8=20/22
Option 2: 7/8=21/24
Option ? is a proportion.
Option 1: 7/8 = 20/22
This equation can be simplified by cross-multiplying:
7 * 22 = 8 * 20
154 = 160
Since 154 is not equal to 160, Option 1 is not a proportion.
Option 2: 7/8 = 21/24
This equation can also be simplified by cross-multiplying:
7 * 24 = 8 * 21
168 = 168
Since 168 is equal to 168, Option 2 is a proportion.
Determine if 2.5/10 =? 12/48 or 2.5/2 =? 12/24 is a proportion.
A. Both are proportions.
B. 2.5/2 = 12/24
C. Neither is a proportion.
D. 2.5/10 = 12/48
To determine if 2.5/10 = 12/48 or 2.5/2 = 12/24 is a proportion, we can cross-multiply and check if the equations are equal.
For 2.5/10 = 12/48:
Cross-multiplying: 2.5 * 48 = 10 * 12
120 = 120
Since 120 is equal to 120, the equation 2.5/10 = 12/48 is a proportion.
For 2.5/2 = 12/24:
Cross-multiplying: 2.5 * 24 = 2 * 12
60 = 24
Since 60 is not equal to 24, the equation 2.5/2 = 12/24 is not a proportion.
Therefore, the correct answer is:
B. 2.5/2 = 12/24
Determine if one, both, or neither of the following is a proportion. 16/8 =? 24/12, 8/4 =?12/6?
A. Neither is a proportion.
B. 16/8 = 24/12 only
C. 8/4 = 12/6 only
D. 16/8 = 24/12, 8/4 = 12/6
To determine if one, both, or neither of the following is a proportion, we can cross-multiply and check if the equations are equal.
For 16/8 = 24/12:
Cross-multiplying: 16 * 12 = 8 * 24
192 = 192
Since 192 is equal to 192, the equation 16/8 = 24/12 is a proportion.
For 8/4 = 12/6:
Cross-multiplying: 8 * 6 = 4 * 12
48 = 48
Since 48 is equal to 48, the equation 8/4 = 12/6 is also a proportion.
Therefore, both of the given equations are proportions.
The correct answer is:
D. 16/8 = 24/12, 8/4 = 12/6
The ratio of 36 social media posts to 16 social media posts can be represented by the fraction $\frac{36}{16}$.
To simplify this fraction to its lowest terms, we need to find the greatest common divisor (GCD) of the numerator and denominator. In this case, the GCD of 36 and 16 is 4.
Dividing both the numerator and the denominator by 4, we get:
$\frac{36}{16} = \frac{36 \div 4}{16 \div 4} = \frac{9}{4}$.
So, the ratio simplifies to $\frac{9}{4}$.
To represent how long an employee must work to make $80 using fractional notation, the proportion is:
$\frac{20}{x} = \frac{1}{80}$