<span>You can probably just work it out.
You need non-negative integer solutions to p+5n+10d+25q = 82.
If p = leftovers, then you simply need 5n + 10d + 25q ≤ 80.
So this is the same as n + 2d + 5q ≤ 16
So now you simply have to "crank out" the cases.
Case q=0 [ n + 2d ≤ 16 ]
Case (q=0,d=0) → n = 0 through 16 [17 possibilities]
Case (q=0,d=1) → n = 0 through 14 [15 possibilities]
...
Case (q=0,d=7) → n = 0 through 2 [3 possibilities]
Case (q=0,d=8) → n = 0 [1 possibility]
Total from q=0 case: 1 + 3 + ... + 15 + 17 = 81
Case q=1 [ n + 2d ≤ 11 ]
Case (q=1,d=0) → n = 0 through 11 [12]
Case (q=1,d=1) → n = 0 through 9 [10]
...
Case (q=1,d=5) → n = 0 through 1 [2]
Total from q=1 case: 2 + 4 + ... + 10 + 12 = 42
Case q=2 [ n + 2 ≤ 6 ]
Case (q=2,d=0) → n = 0 through 6 [7]
Case (q=2,d=1) → n = 0 through 4 [5]
Case (q=2,d=2) → n = 0 through 2 [3]
Case (q=2,d=3) → n = 0 [1]
Total from case q=2: 1 + 3 + 5 + 7 = 16
Case q=3 [ n + 2d ≤ 1 ]
Here d must be 0, so there is only the case:
Case (q=3,d=0) → n = 0 through 1 [2]
So the case q=3 only has 2.
Grand total: 2 + 16 + 42 + 81 = 141 </span>
Answer: y = 20x+75
Step-by-step explanation:
Hi, to answer this question we have to write an equation:
The cost (y) must be equal to the product of the cost per hour of installation (20) and the number of hours that it takes (x); plus the fixed cost of parts and installation (75).
Mathematically speaking:
y = 20x+75
Feel free to ask for more if needed or if you did not understand something
LCM of 10 & 4 = 20
8/10 * 2 & 5/4*5
16/20 & 25/20
THE 2 RATIONAL NUMBERS BETWEEN 16/20 & 25/20 ARE
17/20,18/20 ect
Answer:
Step-by-step explanation:
The graph of the power function has no asymptotes. Check this one.
The graph of the reciprocal function DOES have asymptotes, both vertical and horizontal. Do not check this function.
The graph of an exponential function has one asymptote, which is the line y = 0 (that is, the x-axis). Do not check this function.
The graph of a log function has one asymptote, which is the line x = 0 (that is, the y-axis). Do not check this function.
The root function does not have asymptotes. Check this function.
