Step-by-step explanation:
1: change 'sin²A' and 'cos²B' into (1-cos²A)and (1-sin²A) respectively.
2:open the brackets and put signs accordingly.
3: cancel (-1) and (+1).
4: remaining is your answer.
First, we'll set up two equations. One for the amount of each coin and another for the value of the coins.
N will represent nickels
D will represent dimes
N + D = 30
---The problem tells us that there are 30 total coins
0.05N + 0.10D = 2.95
---Nickels are worth 5 cents and dimes are worth 10 cents, and the total value of the coins is 2.95
Now that we have our equations, we need to solve for one of the variables in the first equation. I will solve for N.
N + D = 30
N = 30 - D
Then, we take that equation and substitute our new value for N into the second equation (value) and solve for D.
0.05(30 - D) + 0.10D = 2.95
1.5 - 0.05D + 0.10D = 2.95
1.5 + 0.05D = 2.95
0.05D = 1.45
D = 29
Now that we know how many dimes there are, we can plug that value into our equation for N and solve for N.
N = 30 - D
N = 30 - 29
N = 1
Therefore, there are 29 dimes and 1 nickel.
Hope this helps!
Answer:
1
Step-by-step explanation:
Let us consider the case of 3 numbers: x, y, and z.
Then x/x+y+z + y/x+y+z + z/x+y+z = x+y+z/x+y+z = 1
The same works also for any quantity of numbers.
4 = amount
<span>8 = base </span>
<span>amount / base = percent </span>
<span>4 / 8 = 0.50 </span>
<span>multiply 100 times the decimal and attact he % symbol </span>
<span>100 x 0.5 = 50 % </span>
<span>4 is 50% of 8 </span>
Answer:
just add it all up with the percent of the coin
Step-by-step explanation:
