Write the ratio 12:9 as an equivalent ratio of 4:x .
To find an equivalent ratio of 4:x, we need to determine what value of x would make the ratio equivalent to 12:9.
To do this, we can set up a proportion:
12/9 = 4/x
To solve for x, we can cross multiply:
12x = 4 * 9
12x = 36
Dividing both sides by 12, we find:
x = 3
Therefore, the ratio 12:9 is equivalent to the ratio 4:3.
Cost of Ground Beef
Pounds Cost
($)
10 37.50
8 30.00
6 22.50
4 15.00
what is the cost of 1 pound of ground beef
To find the cost of 1 pound of ground beef, we can look at the information given and see that as the number of pounds decreases, so does the cost.
We can observe that the cost decreases by $7.50 for every 2 pounds. This means that for every 2 pounds, the cost decreases by $7.50/2 = $3.75.
Since the price decreases evenly with each decrease of 2 pounds, we can determine that the cost of 1 pound of ground beef would be $15.00 - $3.75 = $11.25.
There are 48 inches in 4 feet, which is represented by the equation 4y=48x . Determine the number of inches per foot.(1 point)
To determine the number of inches per foot, we need to find the ratio between inches and feet in the equation 4y=48x.
We can divide both sides of the equation by 4 to isolate y:
4y/4 = 48x/4
Simplifying, we have:
y = 12x
Now we can see that for every 1 unit of x (representing feet), we have 12 units of y (representing inches).
Therefore, the ratio of inches per foot is 12:1, which means there are 12 inches in 1 foot.
How could you write the equation of a line that would be parallel to y=−3x−2 but not share any points?(1 point)
Responses
y=−3x−2
y equals negative 3 x minus 2
y=3x−2
y equals 3 x minus 2
y=3x+8
y equals 3 x plus 8
y=−3x+8
The equation of a line that is parallel to y = -3x - 2 but does not share any points would have the same slope, but a different y-intercept.
The slope of the given line is -3. Therefore, any line that is parallel to it must also have a slope of -3.
Out of the four provided options, the equation y = -3x + 8 has the same slope of -3 as the given line, but it has a different y-intercept of 8.
So, the correct answer is:
y = -3x + 8.
($) Cost of Candy Bar 1
Quantity ($) Cost
1 1.25
2 2.50
3 3.75
4 5.00
5 6.25
The cost of Candy Bar 1 is displayed in the table. The proportional relationship between the cost and quantity for Candy Bar 2 is represented by the equation y=x . Which candy bar is the cheapest cost per bar? Enter 1 for Candy Bar 1. Enter 2 for Candy Bar 2.
To determine which candy bar has the cheapest cost per bar, we need to compare the cost and quantity data for Candy Bar 1 and Candy Bar 2.
For Candy Bar 1, the cost per bar increases as the quantity increases.
For Candy Bar 2, the cost per bar is directly proportional to the quantity. This means that the cost and quantity will be equal.
Looking at the given equation y = x, the cost and quantity will always be the same for Candy Bar 2.
Based on this information, we can conclude that Candy Bar 2 has the cheapest cost per bar, as the cost and quantity are always equal.
Therefore, the answer is: 2 for Candy Bar 2.