Let's assume there is n number of nickels coin and q number of quaters coin.
Given that there are 54 coins in total. So, sum of n and q must be equal to 54.
So, n + q =54.
Hence, q = 54 - n ...(1)
Now 1 nickel is worth of $0.01 nickel. So, n nickel will woth of 0.01n.
Similarly q quarters will worth of 0.25q.
Given that a parking meter contains nickels and quarters worth $7.70. So, sum of 0.01n and 0.25q will be equal to 7.70. Therefore,
0.01n + 0.25q = 7.70
From equation (1) we can plug in q=54-n in the above equation. So,
0.01n + 0.25 (54-n) = 7.70
0.01n + 13.5 -0.25n = 7.70
-0.24n + 13.5 = 7.70
-0.24n = 7.70 - 13.5
-0.24n = -5.8
So, n= 24.167
Hence, n= 24 ( rounded to nearest integer).
Next step is to plug in n=24 in equation (1). So,
q = 54 - 24 = 30.
Hence, there will be 24 nickel and 30 quarter.
Answer:
(a) The ball will hit the ground after 3 seconds
(b) The maximum height is 6.125
Step-by-step explanation:
Given
Solving (a): When the frisbee will hit the ground?
To do this, we set h(t) to 0
So, we have:
Expand
Factorize
Factor out t - 3
Split:
Solve for t in both equations
Time can't be negative; So:
Solving (b): How height the frisbee will go?
First, we calculate time to reach the maximum height
Where:
By comparison:
So:
So, the maximum height is:
"Closed circle on 2 and all numbers to the right shaded" is the one statement among the following choices given in the question that is true <span>about the graph of 3x ≥ 6. The correct option among all the options that are given in the question is the first option. I hope that this is the answer that has come to your help.</span>
The answer is definitely going to be a good day for y’all to do a lot more work
A=(pi)d
158.368=3.14d
d=50.436
r=25.218
