Use the table to answer the question.
Cost of Pencils
Quantity Cost
($)
48 12.00
24 6.00
12 3.00
6 1.50
Determine the cost for 1 pencil.
(1 point)
Responses
$4.00
$4.00
$25.00
$25.00
$0.25
$0.25
$9.00
2.54 centimeters
To determine how many miles John runs per hour, we divide the total distance (26.2 miles) by the total time (4 hours):
26.2 miles / 4 hours = 6.55 miles per hour
So, John runs 6.55 miles per hour.
$0.25
are you correct?
Yes, I am correct.
The cost for 1 pencil can be determined by dividing the total cost by the quantity.
In this case, the total cost for 48 pencils is $12.00, so the cost for 1 pencil is $12.00 / 48 = $0.25.
Use the table to answer the question.
Linear Measurement
Inches Centimeters
5 12.7
4 10.16
3 7.62
2 5.08
How many centimeters are in 1 inch?
(1 point)
Responses
2.54 centimeters
2.54 centimeters
3.54 centimeters
3.54 centimeters
0.394 centimeters
0.394 centimeters
25.08
centimeters
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
$1.25
$1.25
$31.25
$31.25
$1
To find the unit rate for 1 bag of chips, we divide the total cost by the number of bags:
$6.25 / 5 bags = $1.25
So the unit rate for 1 bag of chips is $1.25.
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
104.8 mph
104.8 mph
7 mph
7 mph
6.55 mph
6.55 mph
0.15 mph
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)
Responses
2.54 centimeters
2.54 centimeters
91.44 centimeters
91.44 centimeters
3 centimeters
3 centimeters
0.39 centimeters
To determine the number of centimeters in 1 inch, we can solve the given proportional relationship for x when y is 1.
6y = 15.24x
Substituting y = 1:
6(1) = 15.24x
6 = 15.24x
Dividing both sides by 15.24:
x = 6 / 15.24
x ≈ 0.3937
So, the number of centimeters in 1 inch is approximately 0.39 centimeters.
you are wrong
The number of points that Pedro scored in the basketball game is represented by the equation 4y=104x. In this equation, y represents the total number of points and x represents number of games. How many points did Pedro average per game?(1 point)
points per game
To find the average number of points Pedro scored per game, we can divide the total number of points (y) by the number of games (x).
4y = 104x
Divide both sides by x:
4y/x = 104
Now we can see that 4y/x represents the average number of points per game. Thus, Pedro averaged 104 points per game.
The cost of a pencil is described by the equation y=$0.19x. What is the cost for one pencil?
To find the cost for one pencil, we substitute x = 1 into the equation:
y = $0.19(1)
Simplifying the expression, we find that the cost for one pencil is $0.19.
Why do you think Georgia’s Native Americans built the Etowah Mounds? What were they used for?
The reasons why Georgia's Native Americans built the Etowah Mounds and their specific uses are not explicitly stated in the question. However, the Etowah Mounds are believed to have been constructed by the Mississippian culture, which existed between approximately 800 and 1600 CE.
The Etowah Mounds were likely used for various purposes, including ceremonial and religious activities, as well as being the center of social and political life for the Native American communities that inhabited the area. They likely served as a platform for important community gatherings, trade exchanges, and rituals. Additionally, some mounds could have been used as burial sites for important individuals or served as residential or elite structures.
It's important to note that specific archaeological and historical research would provide more accurate and detailed insights into the exact reasons why the Etowah Mounds were built and their various functions within the Native American society of that time.
Apologies for the confusion. Let's solve the proportional relationship correctly.
Given: 6y = 15.24x
To determine the number of centimeters in 1 inch (x), we substitute y = 1 into the equation and solve for x:
6(1) = 15.24x
6 = 15.24x
Divide both sides by 15.24:
x ≈ 6/15.24
x ≈ 0.3937
Therefore, the correct answer is approximately 0.39 centimeters in 1 inch.