Answer: She has 27 quarters.
Step-by-step explanation:
Let be "d" the number of dimes Marcy has and "q" the number of quarters Marcy has.
Based on the information provided in the exercise, we can set up the following system of equations:
![\left \{ {{d+q=100} \atop {0.1d+0.25q=14.05}} \right.](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7Bd%2Bq%3D100%7D%20%5Catop%20%7B0.1d%2B0.25q%3D14.05%7D%7D%20%5Cright.)
<em> </em>In order to solve the system of equations, we can use the Elimination method:
- Multiply the first equation by -0.1
- Add the equations.
- Solve for "q".
Then:
![\left \{ {{-0.1d-0.1q=-10} \atop {0.1d+0.25q=14.05}} \right.\\............................\\0.15q=4.05\\\\q=\frac{4.05}{0.15}\\\\q=27](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7B-0.1d-0.1q%3D-10%7D%20%5Catop%20%7B0.1d%2B0.25q%3D14.05%7D%7D%20%5Cright.%5C%5C............................%5C%5C0.15q%3D4.05%5C%5C%5C%5Cq%3D%5Cfrac%7B4.05%7D%7B0.15%7D%5C%5C%5C%5Cq%3D27)
2 is in the hundreds thousands place
Answer:
12
Step-by-step explanation:
while f(x) = f(-1) then we can solve the equation
Y=-3(x-4)+3x
f(x)=-3(x-4)+3x
f(-1)=-3(x-4)+3x
=-3((-1)-4)+3(-1) = 12
Y=12
There are 9 balloons remaining, of which 4 are yellow. therefore the probability that the next balloon is also yellow is 4/9
You got the method and answer correct in this question, congrats!