Answer:
$397.34 (if he sold the 20 leftover hot dogs), $297.34 if he didn't.
Step-by-step explanation:
We are going to assume that a month has 30 days.
- First, we are going to see how much money the vendor got from selling the 80 hot dogs. He sold 80 hot dogs at 20 dollars/piece = 1600 dollars.
- We need to subtract the amount of money he spent in each hot dog (12 dollars in raw material plus one dollar for packing): 13 dollars x 100 hot dogs he prepared = 1300 dollars
- He also spends a total of 80 dollars per month in truck rent, electricity and other expenses. If we divide this by the amount of days per month we have: 80/30 = 2.66
- The problem doesn't tell us that there were unhappy customers that day so that amount is zero.
- We are going to assume that the vendor sold the remaining 20 hot dogs at 5 dollars/piece. 20 x 5 = 100.
Thus, the profit for that day is:
1600 - 1300 - 2.66 + 100 = 397.34
<u>(</u><u>Note:</u><u> If the vendor did not sell the leftover hot dogs and he actually only sold 80 hot dogs, then the profit would be: 1600 - 1300 - 2.66 = 297.34)</u>
Last one..................................................................................................................................................
The question is incorrect because of the apparent contradiction the question makes.
First statement says that a quantity S is equal to quantity r.
The second statement says that S = 174r.
Moreover, the quantity C is not correctly linked with the equation. Please either correct the question or explain the ambiguity.
Answer:
y +8 = -4(x -8)
Step-by-step explanation:
You recognize that the given equation is in slope-intercept form:
y = mx + b
with m = 1/4 and b = 5.
A perpendicular line will have a slope that is the negative reciprocal of this value of m, so the desired slope is ...
-1/m = -1/(1/4) = -4
The point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . . for slope m through point (h, k)
Using m=-4 and (h, k) = (8, -8), the point-slope form of the equation for the line you want is ...
y +8 = -4(x -8)
