Answer:
The combined average is 94%
Step-by-step explanation:
for first period, number of students =40
average =96%
for second period, no of students =20
average =90%
but
let =sum of students for the first period
=sum of students for the second period
for first period;
for second period,
therefore the combined average =
that is
so combined average is 94%
Answer:
Step-by-step explanation:
Linear equation:
A linear function has the following format:
In which m is the slope and b is the y-intercept.
When she plants 30 stalks, each plant yields 31 oz of beans. When she plants 36 stalks, each plant produces 29 oz of beans.
This means that these two points belong to the line: (30,31), (36,29).
Finding the slope:
When we have two points, the slope is given by the change in the output divided by the change in the input.
Change in the output: 29 - 31 = -2
Change in the input: 36 - 30 = 6
Slope:
Thus
Finding b:
We take one of the points and replace on the equation.
(30,31) means that . Thus
Thus
Slope intercept form:
y=mx+b
m=slope
b=y-intercept
y=-3x+b
Plug in the given coordinate and solve for b (12,5)
5=-3(12)+b
5=-36+b
41=b
Final answer:
<span>y=-3x+41<span>
</span></span>
Answer:
Step-by-step explanation:
Given
Required
Determine the ratio of Cranberry to Apple to Orange
First, we calculate the fraction of Cranberry using:
Substitute values for Apple and Orange
Collect Like Terms
Take LCM
The ratio is then represented as:
Multiply through by 20