90 = 30 + 10 + 3p
90 = 40 + 3p
subtract 40 from each side
50 = 3p
divide by 3
p = 16.67
Answer:
The answer to your question is The second graph
Step-by-step explanation:
The general equation for a trigonometric is
Acos(Bx + C) + D
A indicates the amplitude if the value is 1, the lowest point is -1 and the highest point is 1. So we discard the first graph.
B indicates the period. A normal graph has a period of 2π, but this equation has a period of 3/2. This means that the period is smaller.
C indicates that the graph is moved to the left or right but in this problem C = 0, so it does not change.
D indicates if the graph is moved up or down, in this problem, D = 0 so it does not change.
Answer:
7x
Step-by-step explanation:
9x-2x=7x
To answer this question, you need to know that a quarter is worth $0.25 and dimes worth $0.10. In this case, the total number of money that made from quarters and dimes is $2.80
With Q=quarter and D=dime, then the equation should be:
2.80= 0.25 Q + 0.10 D
The condition that needs to be fulfilled in this case is that the quarter should be 8 more than dimes. Then you need to find out the highest possible number of the quarter and lowest possible number of the dimes.
If you divide 2.8 with 0.25 you will found it will be 11.2 but 11 quarter will result with 0.05 value which you cannot remove, so the highest possible of the quarter should be 10.
If the highest possible of the quarter is 10, then the lowest possible of dimes should be:
2.8= 0.25(10) + 0.10D
0.10D= 0.3
D=3
Since 10-3 is 7, then it is not possible for the quarter to be 8 more than the dimes.
Answer:
6 Hours
Step-by-step explanation:
17,100 - 6,300= 10,800
10,800/1,800 = 6