Write the ratio 12: 9 as an equivalent ratio of 4 : x.
To find the equivalent ratio of 12:9 as 4 : x, we need to find the value of x.
First, we can simplify the ratio 12:9 by dividing both numbers by their greatest common divisor, which is 3.
Dividing 12 by 3 gives us 4, and dividing 9 by 3 gives us 3.
So, the simplified ratio is 4:3.
To make an equivalent ratio of 4 : x, we need to find the value of x when the ratio is in the same proportion as the simplified ratio.
Since the simplified ratio is 4:3, we can set up the proportion 4/3 = 4/x and solve for x.
Cross-multiplying, we have 4x = 4*3.
Simplifying the right side of the equation, we get 4x = 12.
Finally, dividing both sides of the equation by 4, we find that x = 3.
Therefore, the equivalent ratio of 12:9 as 4 : x is 4 : 3.
Cost of Ground Beef
Pounds Cost
10. 37.50
8 30.00
6 22.50
4. 15.00
What is the cost for 1 pound of ground beef?
We can calculate the cost per pound of ground beef by dividing the cost by the number of pounds.
For 10 pounds at a cost of $37.50, the cost per pound is $37.50 / 10 = $3.75.
For 8 pounds at a cost of $30.00, the cost per pound is $30.00 / 8 = $3.75.
For 6 pounds at a cost of $22.50, the cost per pound is $22.50 / 6 = $3.75.
For 4 pounds at a cost of $15.00, the cost per pound is $15.00 / 4 = $3.75.
Therefore, the cost for 1 pound of ground beef is $3.75.
There are 48 inches in 4 feet, which is represented by the
equation 4y = 48x. Determine
the number of inches per foot.
To determine the number of inches per foot, we need to find the value of y in the equation 4y = 48x.
Dividing both sides of the equation by 4, we get y = 12x.
This equation tells us that y represents the number of inches, and x represents the number of feet.
Therefore, the value of y (number of inches) per foot is 12.
Hence, there are 12 inches per foot.
Graph the proportional
relationship y = 22 by plotting
points.
Graph 1
(2,4) (1,2) (0,0)
Graph 2
(2,6) (1,3) (0,0)
Graph 3
(1,4) (0,0)
Graph 4
(2,1) (0,0)
Graph 1: (2,4), (1,2), (0,0)
To plot the points, we will use the coordinates given:
(2,4): This means that when x = 2, y = 4. So, plot a point at (2,4).
(1,2): When x = 1, y = 2. Plot a point at (1,2).
(0,0): When x = 0, y = 0. Plot a point at (0,0).
After plotting these three points, connect them with a straight line. The graph will look like a diagonal line that goes through the origin (0,0) and passes through the points (1,2) and (2,4).
Graph 2: (2,6), (1,3), (0,0)
Similarly, we plot the given points:
(2,6): When x = 2, y = 6. Plot a point at (2,6).
(1,3): When x = 1, y = 3. Plot a point at (1,3).
(0,0): When x = 0, y = 0. Plot a point at (0,0).
Connect these three points with a straight line. The graph will look like a diagonal line going through the origin (0,0) and passing through the points (1,3) and (2,6).
Graph 3: (1,4), (0,0)
Plotting the given points:
(1,4): When x = 1, y = 4. Plot a point at (1,4).
(0,0): When x = 0, y = 0. Plot a point at (0,0).
Connect these two points with a straight line. The graph will look like a line that passes through the origin (0,0) and the point (1,4).
Graph 4: (2,1), (0,0)
Plotting the given points:
(2,1): When x = 2, y = 1. Plot a point at (2,1).
(0,0): When x = 0, y = 0. Plot a point at (0,0).
Connect these two points with a straight line. The graph will look like a line that goes through the origin (0,0) and the point (2,1).
Note: Graphs 1, 2, and 4 represent proportional relationships. Graph 3, however, is not a proportional relationship since it does not form a straight line passing through the origin.
Which one is Graphing the proportional
relationship y = 2x by plotting
points.
The graph representing the proportional relationship y = 2x by plotting points would look like a straight line passing through the origin (0,0) with a slope of 2.
To plot the points, we can choose different values for x and calculate the corresponding y-values based on the equation y = 2x.
For example, we can take the following points:
(0,0): When x = 0, y = 2(0) = 0. So, plot a point at (0,0).
(1,2): When x = 1, y = 2(1) = 2. Plot a point at (1,2).
(2,4): When x = 2, y = 2(2) = 4. Plot a point at (2,4).
(-1,-2): When x = -1, y = 2(-1) = -2. Plot a point at (-1,-2).
(-2,-4): When x = -2, y = 2(-2) = -4. Plot a point at (-2,-4).
After plotting these points, connect them with a straight line passing through the origin (0,0). The graph will represent the proportional relationship y = 2x.
The proportional relationship between calories and ounces of soda is shown in the graph. How many calories are in 1 ounce?
(1 point)
There are calories in 1
ounce of soda.
(3,36)