The proportional relationship 15.24 centimeters in 6 inches is represented by 6y=15.24x
. Determine the number of centimeters in 1 inch.(1 point)
To find the number of centimeters in 1 inch, we need to solve for x when y is equal to 1.
Given the equation 6y = 15.24x, we substitute y with 1:
6(1) = 15.24x
Simplifying the left side:
6 = 15.24x
To isolate x, we divide both sides by 15.24:
x = 6/15.24
Dividing 6 by 15.24 gives us:
x ≈ 0.3937
Therefore, there are approximately 0.3937 centimeters in 1 inch.
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Apologies for the confusion. Let's solve the equation correctly.
Given the equation 6y = 15.24x, we need to find the value of x when y is equal to 1.
Substituting y with 1:
6(1) = 15.24x
Simplifying the left side:
6 = 15.24x
To solve for x, we divide both sides by 15.24:
x = 6/15.24
Dividing 6 by 15.24 gives us:
x ≈ 0.3937
Therefore, the number of centimeters in 1 inch is approximately 0.3937.
John runs a marathon (26.2 miles) in 4 hours. Determine how many miles he runs per hour if the proportional relationship is represented by 4y=26.2x
.(1 point)
Responses
7 mph
7 mph
104.8 mph
104.8 mph
6.55 mph
6.55 mph
0.15 mph
0.15 mph
To determine how many miles John runs per hour, we need to find the value of x when y is equal to 1 hour.
Given the equation 4y = 26.2x, we substitute y with 1:
4(1) = 26.2x
Simplifying the left side:
4 = 26.2x
To isolate x, we divide both sides by 26.2:
x = 4/26.2
Dividing 4 by 26.2 gives us:
x ≈ 0.1527
Therefore, John runs approximately 0.1527 miles per hour.
Determine the unit rate for 1 bag of chips if 5 bags cost $6.25; the proportional relationship is described by 5y=$6.25x
.(1 point)
Responses
$0.80
$0.80
$1
$1
$1.25
$1.25
$31.25
To determine the unit rate for 1 bag of chips, we need to find the value of x when y is equal to 1.
Given the equation 5y = $6.25x, we substitute y with 1:
5(1) = $6.25x
Simplifying the left side:
5 = $6.25x
To isolate x, we divide both sides by $6.25:
x = 5 / $6.25
Dividing 5 by $6.25 gives us:
x ≈ $0.80
Therefore, the unit rate for 1 bag of chips is approximately $0.80.
Four students complete the table below, ranking states of matter by potential energy. Which student is correct?
(1 point)
Responses
Lucas
Lucas
Tasha
Tasha
Henry
Henry
Jasmine
To determine which student is correct, we need to examine the ranking of states of matter by potential energy in the table provided. However, since you did not include the table in your question, I am unable to determine which student is correct. Please provide the ranking table for further assistance.
To determine the number of centimeters in 1 inch, we need to solve the given proportional relationship equation for y when x equals 1.
The given equation is:
6y = 15.24x
Since we want to find the number of centimeters in 1 inch, we substitute x = 1 into the equation:
6y = 15.24(1)
Now we can solve for y:
6y = 15.24
Divide both sides of the equation by 6:
y = 15.24 / 6
Calculating the result:
y = 2.54
Therefore, the number of centimeters in 1 inch is 2.54 centimeters.