Sample Response: Both are correct. As long as inverse operations and the properties of equality are used properly, both methods will generate the same solution. They both isolate the variable on one side of the equation.
Answer:
2/3 cups of cheese
Step-by-step explanation:
1/4 cup of milk = 1/6 cup of cheese
1 cup of milk = <u>1 cup of milk x 1/6 cup of cheese</u>
1/4 cup of milk
=<u> 1 </u> / <u> 1</u>
6 4
= <u>1</u> x <u>4</u>
6 1
= 4/6
= 2/3 cups of cheese
There are 5280 feet in a mile so multiply that by 40 (5280 × 40 = 211,200)
Divide that by the amount of minutes in an hour (211,200 ÷ 60 = 3,520)
Divide that by the amount of seconds in a minute (3,520 ÷ 60 = 58.66)
Your answer is 58.66. I don't think it would be necessary to round to the nearest hundred.
Answer:
x < 6.5
y < -1.5
Step-by-step explanation:
y > x - 8
Therefore x < y + 8
y < 5 - x
Therefore x < 5 - y
2x < 13
x < 6.5
6.5 < 5 - y
y < -1.5
Since the graph is a straight line, we know that this equation follows some sort of y = mx + b format.
Let's take the points that are on the axes (-4,0) and (0,-3)
use them to find the slope = (0 - (-3))/(-4 - 0) = 3/(-4) = -3/4
this is our m in the general equations above
we now have y = (-3/4)x + b
b is the y-intercept which is where x = 0 we already have that point in (0,-3)
plug the -3 in for b to give as a final answer:
y = (-3/4)x - 3