Answer:
8. 12 in
9. 30 ft
10. 87.92 in
Step-by-step explanation:
Hello from MrBillDoesMath!
* I only have time to help you with 3 problems. *
Answer:
1. SWIMMING: total number of laps = 10x-3
3. BEDROOM: Perimeter = 6x +2
4. HOCKEY: Total number of goals = 6x + 1
Discussion:
1. SWIMMING:
The total number of laps swam all 4 weeks is the sum of the laps from each week:
(x+2) + 3x + (2x+1) + (4x-6) .
Separate and combine "x" terms and constants
(x + 3x + 2x + 4x) + (2 + 1 -6) =
10x + (3-6) or 10x - 3
3. BEDROOM
Imagine you are at one corner of the rectanle and you walked all the way around to rectangle back to your start point. That distance gives the perimeter.
Perimeter = (2x-3) + ( x + 4) + (2x-3) + ( x+4)
= ( 2x + x + 2x + x ) + ( -3 + 4 -3 + 4) =
= 6x +2
4. HOCKEY
Total number of goals = sum of goals from all three games =
2x + (x+2) + (3x - 1) =
(2x + x + 3x) + (2 - 1) = 6x + 1
Thank you,
MrB
The ratio can be simplifies to 6 for fiction to 7 for non-fiction since the remaining books are 28 and 24 and 28 can be simplified by 4, giving the 6 to 7 ratio
Answer:
The ratio of the average change in profit when the level of production changes from 600 to 620 units per month is -24 : 5.
Step-by-step explanation:
The question is:
A company knows that if it produces "x" monthly units its utility "u" could be calculated with the expression: u (x) = - 0.04x ^ 2 + 44x-4000 where "u" is expressed in dollars. Determine the ratio of the average change in profit when the level of production changes from 600 to 620 units per month. Remember that the slope of the secant line to the graph of the function represents the average rate of change.
Solution:
The expression for the utility is:
It is provided that the slope of the secant line to the graph of the function represents the average rate of change.
Then the ratio of the average change in profit when the level of production changes is:
Compute the values of u (x₁) and u (x₂) as follows:
<em>x</em>₁ = 600
<em>x</em>₂ = 620
Compute the average rate of change as follows:
Thus, the ratio of the average change in profit when the level of production changes from 600 to 620 units per month is -24 : 5.