If x = # of quarters, then, the # of dimes will be equal to 2x. The total value (z) would be equal to:
z = 0.25x + 0.10(2x)
Then, since you switch the quarters and the dimes, and you have a new total, the resulting equation will be:
1.2 + z = 0.25(2x) + 0.10(x)
Plug in the values you know:
1.2 + (0.25x + 0.10(2x)) = 0.25(2x) + 0.10(x)
Solve for x:
1.2 + (0.25x + 0.20x) = 0.50x + 0.10x
1.2 + 0.45x = 0.60x
1.2 = 0.15x
x = 1.2/0.15 = 8
This means that there are 8 Quarters in her bag right now. So, the amount of dimes is just 2x which is 16. So your answer will be:
She has 8 Quarters and 16 Dimes in her bag right now. Or, $3.60.
If this doesn't make sense, then tell me. I have some resources where I got the answer from to put it into simplest terms. I have the website if you want.
The first answer is going to be 15.42 (so b) and the second is going to be 10.67 (so a)
Answer: infinitely many solutions.
Step-by-step explanation:
Ok, our equation is:
-2.1*b + 5.3 = b - 3.1*b + 5.3
now, simplifyng the right side, we have:
b - 3.1*b + 5.3 = (1 - 3.1)*b + 5.3 = -2.1*b + 5.3
Then our initial expression is:
-2.1*b + 5.3 = -2.1*b + 5.3
So in both sides of the equality we have the exact same thing, so this is a trivial equality.
This means that the equality will remain true for any value of b, which means that we have infinitely many solutions.
Answer:
The Company AB must sell 116 computers to break even
Step-by-step explanation:
we have
-----> equation A
----> equation B
where
C is the cost function
R is the revenue function
x is the number of computers sold
we know that
Break even is when the cost is equal to the revenue
so
equate equation A and equation B
Solve for x
subtract 1/4x both sides
Divide by 1.25 both sides
therefore
The Company AB must sell 116 computers to break even
