Answer:
13 quarters, 26 nickels.
Step-by-step explanation:
n will be number of nickels, q will be number of quarters, and we have 39 total coins
so n + q = 39 (number of nickels + number of quarters = 39 coins.
The problem also says there are twice as many nickels as quarters. so we can call the number of nickels n or we can call it 2q (2 times the number of quarters)
which means
n + q = 39
2q + q = 39
3q = 39
q = 13
and she has 2 times as many nickels as quarters... 2 x 13 = 26 nickels
LMK if you have questions.
If you want to double check the money,
n(0.05) + q(0.25) = 4.55 is the equation to use.
26(0.05) + 13(0.25) = 1.3 + 3.25 = $4.55
I would say A because it is rotated 180 degrees relative to the origin.
Given: <span>10g^2+33g=9-2g^2
Group the q^2 terms first, then the q terms, and finally the constants:
12g^2 + 33q - 9 = 0. Make sure you agree with this, or otherwise fix it.
Tools for solving quadratic equations include the following and more:
graphing
quadratic formula
completing the square
I've graphed this simplified quadratic on my TI-83 calculator and see that -3 seems to be a root. Let's check it!
________________
-3 / 12 33 -9
-36 9
---------------------
12 -3 0 Since the remainder is zero, -3 is a root and (x+3) is a factor. The other factors are 3 and (4x -1)
Then 3(4g-1)(g+3) = 0, with the result that g = 1/4 and g = -3.
Please check these roots by subst. into the original equation.</span>
Answer Correct me if I'm wrong but I believe it is 4 dollars and 62 cents. (4.62$)
Step-by-step explanation:
