Answer:
m(n) = 60000
Amount = 60000/n
Step-by-step explanation:
Given
Budget = 60000
Solving (a) Represent as a function mn
To do this simple substitute m(n) for Budget.
This gives;
m(n) = 60000
Solving (b) Amount each committee will receive.
Since the amount will be shared evenly.
Amount = m(n)/n
Substitute 60000 for m(n)
Amount = 60000/n
Try to find the lowest common denominator. In this case it's 28, which makes our numbers as follows:
1/4 = 7/28
1/7 = 4/28
7/28 + 4/28 = 11/28
We can't simplify it so that's the result.
Given:
Max's house has two steps on the front porch.
Size of each step is the same.
To find:
The total vertical distance covered by the two steps.
Solution:
From the given figure, it is clear that,
Base length of each step = 6 in
Hypotenuse = 10 in
Let h be the vertical height of each step.
Using Pythagoras theorem, the vertical height of one step is
Taking square root on both sides.
Height cannot be negative. So, h = 8 in.
Now,
Vertical height of 2 steps = 
= 
So, the total vertical distance covered by the two steps is 16 in.
Therefore, the correct option is A.
Answer:
The slope for the parallel line to the equation -10x-5y=25 is -2
Step-by-step explanation:
First we need to convert the equation to slope-intercept form to determine the slope.
-10x-5y=25
+10x _10x
-5y=25+10x
/-5 /-5
y= -5 -2x
Remember, -5 is the y-intercept and -2 is the slope for this equation. A parallel line is a line that never intersects with the first line. If the two equations have different slopes, they will eventually intersect. Because of this, our parallel line needs to have the same slope as the initial equation: -10x-5y=25
Since we've determined that the slope for that equation is -2, we can infer that this will be the slope for our parallel line.
Answer:
a) x=93
Step-by-step explanation:
