Answer:
49 litres of petrol are needed to travel from town X to town Y and back.
Step-by-step explanation:
Well, first off, the variable X and Y, as well as the distance given (124 km) aren't important pieces of information in this equation. They're only there to throw you off and confuse you.
25L of <em>p</em> (petrol) to make the entire journey. After the engine has been tuned, it requires 2% less <em>p</em> than before it was tuned.
2%/100 = 0.02
0.02 * 25L = 0.5L
25L - 0.5L = 24.5L
Now, don't forget, at the end of the word problem we're asked how many litres of <em>p</em> would be required to travel from <em>x</em> to <em>y</em> <em><u>AND BACK</u></em>. So it's not only 24.5L, it's double that (24.5 * 2 = 49L)
Good luck!!
Answer:
Step-by-step explanation:
Natsano can satisfy his constraints by investing the first $20,000 in Company A, then splitting the remaining $35,000 evenly between the companies. For best return, he needs to invest as much as possible in Company B, but each such dollar (after the first 20k) must be matched by a dollar invested in Company A. That is, his investments should be ...
- Company A: $37,500
- Company B: $17,500
_____
The attached graph shows the feasible region of investments (doubly shaded). The vertex that maximizes the objective function (return on investment) is the one highlighted. (It puts the objective function line as far as possible from the origin.)
_____
Sometimes graphing the constraints is more work than necessary if there is some simple logic that quickly identifies the solution.
Answer:
B=70
Step-by-step explanation:
A+B=180
5x+25+3x+19=180
8x+44=180
8x=136
x=17
B=3(17)+19
B=51+19
B=70
Answer/step-by-step explanation:
The 300/40 comes from the fact that ¾ of a 400 meter swim is 300 meters, and if you want to know how long he took to do that, you need to divide by the speed, 40 meters per minute (meters divided by meters per minute = minutes). Likewise with the 100/35—that’s the last 100 meters he swam, at the slightly slower speed.
Just to bring it all the way home, average speed is total distance divided by total time. that the total distance is 400 meters. You know the total time is 300/40 + 100/35. Average speed, then, is:
Average Speed:
Round: 39 meters per minute
I think if wrong I'm sorry