Answer:
Yes, they both have same rate
Rate of A = Rate of B= 5/12
Step-by-step explanation:
Classroom A has 25 printers for 60 computers.
The rate of printers to computers is
Rate = printer /computer
Rate = 25/60
Rate= 5/12
For class room B
Classroom B has 5 printers to 12 computers
The rate of printers to computers is
Rate = printer/computer
Rate= 5/12
Rate of classroom A = 5/12
Rate if classroom B = 5/12
Rate of A = Rate of B
Answer:
The rate of change is 3.7
Step-by-step explanation:
To find the rate of change, we can use the slope formula.
m(slope) = (y2 - y1)/(x2 - x1)
m = (44.4 - 14.8)/(12 - 4)
m = 29.6/8
m = 3.7
Answer:
when x equals one number, if it was no solution then x=y
Step-by-step explanation:
Answer:
23. 8n - 9
24. 55 - 45n
25. 69a - 10
26. -30m + 33
27. -4 + 96x
28. -8n + 26
29. -25b - 20
30. -71n - 9
Step-by-step explanation:
23. -2n - 9 + 10n
Collect like terms
= 8n - 9
24. 10 - 45n + 45
Collect like terms
= 55 - 45n
25. 9a + 60a - 10
Collect like terms
= 69a - 10
26. -54m + 27 + 6 + 24m
Collect like terms
= -30m + 33
27. -10 + 90x + 6x - 60
Collect like terms
= -4 + 96x
28. -10n + 20 + 2n + 6
Collect like terms
= -8n + 26
29. -30b - 30 + 5b + 10
Collect like terms
= -25b - 20
30. -7n - 21 - 8 - 64n
Collect like terms
= -71n - 9
Answer:
The minimum average cost is $643.75
It should be built 62.5 machines to achieve the minimum average cost
Step-by-step explanation:
The equation that represents the cost C to produce x DVD/BLU-ray players is C = 0.04x² - 5x + 800
To find the minimum cost differentiate C to equate it by 0 to find the average cost per machine and to find the value of the minimum cost
∵ C = 0.04x² - 5x + 800
- Differentiate C with respect to x
∴ 
∴ 
- Equate 
by 0
∴ 0.08x - 5 = 0
- Add 5 to both sides
∴ 0.08x = 5
- Divide both sides by 0.08
∴ x = 62.5
That means the minimum average cost is at x = 62.5
Substitute the value of x in C to find the minimum average cost
∵ C = 0.04(62.5)² - 5(62.5) + 800
∴ C = 643.75
∵ C is the average cost
∴ The minimum average cost is $643.75
∵ x is the number of the machines
∴ It should be built 62.5 machines to achieve the minimum
average cost
