You can write three equations in the numbers of nickels (n), dime (d), and quarters (q).
n + d + q = 23 . . . . . . . there are 23 coins total
0n +d -q = 2 . . . . . . . . .there are 2 more dimes than quarters
5n +10d +25q = 250 . .the total value is $2.50
The collection includes 11 nickels, 7 dimes, and 5 quarters.
_____
I used the matrix function of my calculator to solve these equations. You can find q by subtracting from the last equation five times the sum of the first two equations.
(5n +10d +25q) -5((n +d +q) +(d -q)) = (250) -5(23 +2)
25q = 125 . . . . . . . simplify
q = 5
From the second equation,
d = q +2 = 7
And from the first,
n = 23 -5 -7 = 11
4/1 is a greater rate of change because it is the same as 4. A whole number will always be greater than a fraction and also the fraction is negative which makes it even smaller than a regular fraction. I hope this answers your question! :)
Answer:
1.97 ounces
Step-by-step explanation:
-The exponential decay function is given by the formula:
Given that the half-life is 4 days, we can substitute in the formula to solve the rate of decay for a single half-life:
#Since, 1 week has 7 days, 3 weeks is a 21-day period, thus, t=21.
#We substitute and solve for the amount remaining after 21days of decay:
Hence, the amount remaining after 3 weeks of decays is approximately 1.97 ounces
Answer:
28.25 square units
Step-by-step explanation:
A circumference of the circle is
where r is the radius of the circle.
So,
The area of the circle is
Substitute the value of the radius:
Simplify by combining the real and imaginary parts of each expression.
1
,
−
96
