Set up a system of equations.
0.10d + 0.25q = 39.25
d + q = 250
Where 'd' represents the number of dimes, and 'q' represents the number of quarters.
d + q = 250
Subtract 'q' to both sides:
d = -q + 250
Plug in '-q + 250' for 'd' in the 1st equation:
0.10(-q + 250) + 0.25q = 39.25
Distribute 0.10:
-0.10q + 25 + 0.25q = 39.25
Combine like terms:
0.15q + 25 = 39.25
Subtract 25 to both sides:
0.15q = 14.25
Divide 0.15 to both sides:
q = 95
Now plug this into any of the two equations to find 'd':
d + q = 250
d + 95 = 250
Subtract 95 to both sides:
d = 155
So there are 95 quarters and 155 dimes.
Answer:
Slope of Parallel Line: -7
Step-by-step explanation:
A set of parallel lines will ALWAYS have the same slope. Perpendicular lines will have complete opposite slopes, for example, the slope of a line perpendicular to this one would be 1/7. If the slope is positive, the other slope will be negative and vice versa. For perpendicular lines, you also have to flip the fractions.
The correct answer to this question is this "domain: x > 1; range: y > 0; Yes, it is a function."
Based from the graph, <span>it has a vertical asymptote at x = 1, so domain is x > 1 </span><span>and since it has horizontal asymptote at y=0, its range is y > 0. So this concludes us to have a domain of x > 1 and a range of y > 0.</span>
Answer:
186.73 x (-0.0175) = −3.267775
