Answer:30%
Step-by-step explanation:
<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:
77.7
Step-by-step explanation:
First all the angles add up to 360°. You would subtract 180 from the 360 because of the 2 right angles. That leaves you with 180. Then 180-102.3 to get 77.7°, your answer.
21,45,6
21=3*7
45=3*3*5
6=3*2
LCM= 3*3*7*5*2
LCM=630
Answer:
3600 pounds
Step-by-step explanation:
One cubic foot of a chemical weighs 60 pounds.
1 ft³ of chemical = 60 pounds
We need to find how many pounds in the container whose dimension 6 ft, 4 ft and 2.5 ft
l = 6 ft
b = 4 ft
h = 2.5 ft
Volume of box = lbh
= 6 x 4 x 2.5
= 60 ft³
As we are given
1 ft³ of chemical = 60 pounds
60 ft³ of chemical = 60 x 60 = 3600 pounds
