Answer:
Step-by-step explanation:
- Let the speed of raft (current) - r
- Speed of motorboat - 12 km/h
- The distance between villages - 44 km
- Let the time spent by Aniskin - t
- The time the thief was in travel = 2 hr 40 min + t = 2 40/60 + t = 3/8 + t
- The distance the thief traveled = 44 - 27 = 17 km
<u>We have following equations:</u>
- r(8/3 + t) = 17
- (12 - r)t = 27
<u>Simplify the equations:</u>
- r(8/3 + t) = 17 ⇒ rt + 8/3r = 17
- (12 - r)t = 27 ⇒ 12t - rt = 27
<u>Add up the equations and solve for r:</u>
- rt + 8/3r + 12t - rt = 44
- 8/3r + 12t = 44
- r = 16.5 - 4.5t
<u>Substitute r into second equation:</u>
- (12 - 16.5 + 4.5t)t = 27
- 4.5t² - 4.5t = 27
- 9t² - 9t - 54 = 0
<u>Solving we get</u>
<u>Find r:</u>
- r = 16.5 - 4.5*3 = 3 km/h
Answer: $30.6
Step-by-step explanation:
From the question, we are informed that a store advertises a 20% off sale and that the price of a particular product is $24.48. For us to calculate the regular price goes thus:
Since 20% is off, that means that the product was sold at (100% - 20%) = 80% of it's regular price.
Let the regular price be y
80% of y = $24.48
80/100 × y = $24.48
0.8y = $24.48
y = $24.48/0.8
y = $30.6
The regular price is $30.6
A. 2 liters lemon lime soda 1 pint ice cream 3 cups of ice
B. 6 liters lemon lime:3 pint ice cream:9 cups ice
I= PRT
I= (47000)(5/.08)(.3)
I= 881,250