0.94 gallons is the correct answer
Answer:
Each pencil costs $0.07 and each eraser costs $0.03
Step-by-step explanation:
System of linear equations
It refers to the study of systems when n variables are related in m linear equations, each one is not independent from the others. Solving such systems can be done following very diverse approaches.
Let p=the price of each pencil while e is the price each eraser
Julio bought 4 pencils and 3 erasers, spending

David bought 3 pencils and 4 erasers, spending

The system of equations is written in the form

We'll solve it by reduction. Multiplying the first equation by -3 and the second by 4:

Adding both equations:
7e=0.21
e=0.03
Multiplying the first one by -4 and the second by 3

Adding both equations:
-7p=-0.49
p=0.07
Solution: Each pencil costs $0.07 and each eraser costs $0.03
The average rate of change for a function over an interval is the slope
<h3>How to explain the steps?</h3>
Take for instance, we have the function to be
Function f(x)
And the interval is (a,b)
The average rate of change for the function over the interval is
Rate = (f(b) - f(a))/(b - a)
The above represents the slope
Take for instance, we have:
f(x) = x^2 [2, 4]
We have:
f(2) = 2^2 = 4
f(4) = 4^2 = 16
So, we have:
Rate = (16 - 4)/(4 - 2)
Rate = 6
Read more about average rate of change at:
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Answer:
Step-by-step explanation:
To find the x-intercept, set y = 0 and solve for x.
-2x + 3y - 4 = 0
-2x + 3(0) - 4 = 0
-2x + 0 - 4 = 0
-2x - 4 = 0
-2x = 4
x = 4/-2
x = -2 The x-intercept is -2
To find the y-intercept, set x = 0 and solve for y.
-2x + 3y - 4 = 0
-2(0) + 3y - 4 = 0
0 + 3y - 4 = 0
3y - 4 = 0
3y = 4
y = 4/3 The y-intercept is 4/3
45% - 144
100% - x
/cross multiply/
45x = 144·100
45x = 14400 |divide both sides by 45
x = 320
Answer: 45% of 320 is 144.