Answer:
x= 1
y= 3
Step-by-step explanation:
21(-2+y) +7y = 42
-42 +28y+42
28y = 42+42
28y= 84
divide both sides y= 3
x= -2+3 x=1
x= + (3-2) = 1
42=42
10=10
Answer:
<em>p ≥ 5</em>
<em>Scott will buy at least 5 kilograms of candy.</em>
Step-by-step explanation:
<u>Inequalities</u>
The candy Scott buys cost $7 per kilogram.
Let's set p=number of kilograms of candy Scott will buy.
The money spent to buy p kilograms of candy is 7p dollars.
The condition states he will spend at least $35 on candies, thus the following inequality is formed:
7p ≥ 35
Dividing by 7:
p ≥ 35/7
Operating:
p ≥ 5
Scott will buy at least 5 kilograms of candy.
Answer:
y = -2x + 22
Step-by-step explanation:
You fill an aquarium with water, the water is 22 inches deep. The water evaporates at 2 inches per week. Write an equation that approximates the depth y of water in the aquarium x weeks after you fill it.
Answer: The problem above represents that of a linear function. The equation of a linear function is given by:
y = mx + b, where y is the dependent variable, x is the independent variable, m is the rate of change and b is the initial value of y when x = 0.
From the problem, the independent variable is the number of weeks and the dependent variable is the depth of water, hence y = depth of water and x = weeks after you fill it.
The rate = 2 inches per week, since it evaporates (decreases), hence m = rate of change = -2. Also, at 0 weeks (x = 0), the depth (y) = 22 inches, therefore b = 22. Using the equation for linear function, we get:
y = -2x + 22