Answer:
Mizuki here to answer! B is the correct answer!
Step-by-step explanation:
1 - 0.4 = 0.6
2.1 x 0.6 = 1.26
<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>
9514 1404 393
Answer:
21 miles per hour
Step-by-step explanation:
Let w represent the wind speed. Then the travel time is ...
400/(329 +w) = 352/(329 -w)
400(329 -w) = 352(329 +w)
(352+400)w = 329(400 -352)
w = (400 -352)/(400 +352)·329 = 48/752·329 = 21
The wind speed is 21 miles per hour.
Answer:
B
Step-by-step explanation:
For the divisor on the left of the division symbol, the -3 symbolizes that the -3 is a root. This means that when we plug -3 into our divisor, the answer is 0. Therefore, as x+3=0 when x=-3, the divisor is x+3.
Next, for the dividend, we can start on the left with no x multiplied to it and then add one degree of x for each value to the left. This results in
6 + -4 * x¹ + 4 * x² + 2 *x³
= 2x³ +4x² -4x+6
