Answer:
-10
Step-by-step explanation:
First use this equation: (y2 - y1) / (x2 -x1)
The y intercept is 14 so the slope is -10.
Answer: Associative property
Step-by-step explanation:
Answer:
10 pizzas
Step-by-step explanation:
Jaxson is throwing a pizza party. He has 1\tfrac{1}{4}1 4 1 pounds of cheese available and he needs \tfrac{1}{8} 8 1 pound of cheese to make each pizza. How many pizzas can he make?
We can interprete the above question as:
1/8 pounds of cheese = 1 pizza
1 1/4 pounds of cheese = x pizzas
Cross Multiply
1/8 × x = 1 1/4 × 1
x = 1 1/4 ÷ 1/8
x = 5/4 ÷ 1/8
x = 5/4 × 8/1
x = 10 pizzas
x = 10 pizzas
For starters, create an equation to show David's earnings. We can do this using Danielle's as a basis, which is set up as y=(# of hours)x+(bonus). This gives us y=12x+80. Now, as we need both their ys to be equal, we just set both equations equal to each other, making 15x+50=12x+80. Now, we solve for x, starting with 15x+50=12x+80, subtracting 12x from both sides to get 3x+50=80, subtracting 50 from both sides to get 3x=30, and dividing three from both sides to get x=10. To check, we just plug in our answer to both equations and see if the ys match up. With Danielle's equation, we get y=15(10)+50=150+50=200 and with David's equation, we get y=12(10)+80=120+80=200, proving that our answer is correct.
