Define your variables:
Q: number of quarters
D: number of dimes
Next, create your equations
Q = 2D-4
25Q+10D=200
Because one variable (Q) is already written in terms of the other variable, D, you can already start solving with substitution.
25(2D-4)+10D=200
50D-100+10D=200
60D=300
D=5
Substitute D back into the other equation to find Q.
Q=2D-4
Q=2(5)-4
Q=6
Substitute D and Q into the second equation to check.
25Q+10D=200
25(6)+10(5)=200
150+50=200
This works, so the answer is right! Bill has 6 quarters and 5 dimes.
Key word: sum
twice a number = 2n
Sum of that and 15 = 2n + 15
is = equals
Answer: 2n + 15 = 9
Answer:
0
Step-by-step explanation:
The y-values are the same, so the line is ...
y = -9
The slope of a horizontal line is 0.
To solve, you have to use the Cosine of 41°. This is Adjacent side over Hypotenuse. Plug in the known side length and solve for x
Tan 41° = x / 55
x = Tan 41° · 55
x = 47.81 units
This would make the correct answer C. 47.81.
Hope this helps. Good luck! :)
