Answer:
x = 16
Step-by-step explanation:
If the figure is a parallelogram, the opposite sides are the same length
3x+20 = 5x-12
Subtract 3x from each side
3x+20 -3x = 5x-12-3x
20 = 2x-12
Add 12 to each side
20+12 = 2x-12+12
32 = 2x
Divide each side by 2
32/2 = 2x/2
16 =x
Answer:
The independent variable is (f) Number of friends. The dependent variable is (c) Cost of party.
The equation is c = 20f or the cost for 50 friends is c = 20(50) = 1000. It costs $1000.
Step-by-step explanation:
On a graph called the coordinate plane, there are two axis. The horizontal axis is the x-axis and is known as the independent variable. A great example of an independent variable is time. Time is always represented on the x-axis because time passes by. It does not depend on anything.
The other axis is the y-axis. It is the vertical axis on the graph. It is called the dependent variable because its value depends on x. For example, if you were looking at miles per hour, the number of miles would depend on how many hours you traveled. You have to know the time to find miles. This is a dependent variable.
Here the independent variable is the number of people. The dependent variable is the cost of the party because the amount of money depends on how many people come.
The equation is c = 20f or the cost for 50 friends is c = 20(50) = 1000. It costs $1000.
For this case we can make the following rule of three:
1pint ------> 2cups
x -----------> 440 cups
Clearing x we have:
x = (440/2) * (1)
x = 220 pint containers.
Answer:
Paul needs about:
x = 220 pint containers.
You have the right idea for the first part. There are three ways to add to 4, and those ways are: 1+3 = 4, 2+2 = 4, and 3+1 = 4. This is out of 6*6 = 36 ways to roll two dice. That leads to 3/36. You then reduce the fraction 3/36 to get 1/12. Divide both parts by 3 to reduce.
So the first answer is 1/12
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The first answer is used to help find the second answer. The probability of getting a single "4" is 1/12, so the probability of getting three "4"s in a row is (1/12)^3 = (1/12)*(1/12)*(1/12) = 1/1728
Second answer is 1/1728
