Step 1 :
Given point(<span><span>x1</span><span>x1</span></span>, <span><span>y1</span><span>y1</span></span>) = (5, -4) and slope(m) = -2
Answer :
-2x - y + 6
First, organize all of the like terms. All of the numbers to one side, all of the variables to the other. Then, divide to get x by itself.
First, assign a variable to each unknown value.
Let:
x = cost of the pepperoni pizza
y = cost of the plain pizza
Next, set up equations based on the word problem. We then have the following equations:
(1) 3x + 2y = 58.50
(2) 2x + 4y = 67
Equation (1) comes from the statement: "Jack paid 58.50 for 3 pepperonies and 2 plain pizzas". Equation (2), on the other hand, translates the statement: "Jill paid 67 for 2 pepperonies and 4 plain pizzas".
To solve for two unknown variables given two independent equations, eliminate one variable first. That is, multiply equation (1) to -2.
-2[3x + 2y = 58.50]
-6x -4y = -117
Then add this to equation (2):
-6x -4y = -117
2x + 4y = 67
-------------------
-4x = -50
x = -50/-4 = 12.5
To solve for y, we use equation (2) and substitute the value of x which has been solved already.
2(12.5) + 4y = 67
y = 10.5
To summarize, they paid $12.50 for the pepperoni pizza while they paid $10.50 for the plain pizza.
Answer:
565.25 inches cubed
Step-by-step explanation:
14*(8 + 1/2)*(4 + 3/4)=565.25 inches cubed
Answer:
150
Step-by-step explanation:
4% of 150 is 6. 100% of 150 is 150, therefore 4 percent of 150 equals 6