Answer:
y = (1/3)x - 1
Step-by-step explanation:
The product of the slopes of perpendicular lines is -1. That makes the slopes of perpendicular lines negative reciprocals. Since line p has slope -3, the slope of line t is 1/3. Also, line t passes through point (9, 2).
y = mx + b
m = slope
y = (1/3)x + b
Now we replace x and y with the x- and y-coordinates of the given point, respectively, and we solve for b.
2 = (1/3)(9) + b
2 = 3 + b
b = -1
Now we replace b with -1.
y = (1/3)x - 1
Answer:
This question requires a comparison between two different variables 6% and 16% values. If we let x=$ loaned on 6% loans and y=$ loaned on 16% loans, then we can relate two equations.
0.06x + 0.16y = $1500 --> referencing the interest earned from each percentage loaned.
x + y = $16000 --> referencing the total amount of money loaned out.
Rearrange either equation and substitute for a value in the other equation or use elimination to determine each individual variable.
Step-by-step explanation:
Given:
Total Yogurt =
cups
Yogurt required for each smoothie =
cup
To find:
The number of smoothies that Paisley can make with the yogurt.
Solution:
We know that,

Substituting the given values, we get






Therefore, the number of smoothies is 12.
Answer:
x=35, y=21. (35, 21).
Step-by-step explanation:
x+y=56
x-y=14
------------
2x=70
x=70/2
x=35
35+y=56
y=56-35
y=21