Answer: After 5 hours, Mary will be at the break even point.
To answer this question, we need to find the time when the cost equals the revenue.
Therefore, set our equations equal to each other and solve.
20 + 30h = 10h^2 - 80
0 = 10h^2 - 30h - 100
0 = h^2 - 3h - 10
0 = (h - 5)(h + 2)
Our solutions are h = 5 or h = -2. Only 5 hours makes sense in the context of this problem.
Answer:
y-5=1(x-3)
Step-by-step explanation:
The probability of drawing both without replacing either is :
14/41 * 12/40 = 7/41 * 3/5 = 21/205
The probability of drawing both WITH replacement is:
14/41 * 12/41 = 168/ 1681
there you have it :D
3d-18=-27
3d=-27+18
3d= -9
D= -9/3
D=-3
D equals -3. Hope this helps!
Answer:
The answer is B.
Step-by-step explanation:
That's because in A. angle S and angle Z aren't corresponding in the congruence of RST and XYZ.
In C. line RS and line ST can' be proven to be congruent because they arent a part of the what we know which is RST is congruent to XYZ. It says nothing about RS being congruent to ST.
And D. has the same problem as A. with the line ST and line XZ not corresponding the what we know. If it had said ST is congruent to YZ, or that RT is congruent to XZ then it would be true. Because RST is congruent to XYZ. And R corresponds to X, S corresponds to Y, and T corresponds to Z.
So B. would be the answer because R and X correspond to one another because it's written as RST ans XYZ and both R and X are the first letters represented in both triangles.
