Answer:
Step-by-step explanation:
a) 60 = 50x
x = 60 / 50 = 1.20
1.20(100) = 120%
b 50 = 60x
x = 50/60 = 0.83333....
0.83333(100) = 83.333... % or 83⅓%
Answer:
Before going to the first store he had $ 112.
Step-by-step explanation:
Before going to the first store Mr. Chin had all his money, which we will call by "x". After the first store he had:
y = x/2 - 14
He then went to a second store and he spent all his money in a way that:
y/3 - 14 = 0
Because after that store he had no money left. So we can use the second equation to solve for y and then use that value to solve for x, that is the amount of money he had before going to the first store. We have:
y/3 = 14
y = 14*3 = 42
From the first equation:
42 = x/2 - 14
x/2 - 14 = 42
x/2 = 42 + 14
x/2 = 56
x = 112
Before going to the first store he had $ 112.
What do we know about those two lines?
They are perpendicular, meaning they have the same slope.
We know the slope of both is not zero (neither is vertical).
Therefore either
1) Both slopes are positive and therefore the product is positive
2) Both slopes are negative and therefore the product is positive (minus by a minus is a plus)
For the y intercepts, we know that the line P passes through the origin.
Therefore its Y intercept is zero.
[draw it if this is not obvious and ask where does it cross the y axis]
Therefore the Y intercept of line K and line P is zero.
[anything multiplied by a zero is a zero]
So we know that the product of slopes is positive, and we know that the product of Y intercepts is zero.
So the product of slopes must be greater.
Answer A
