Answer:
The barge can carry up to 94 railroad cars.
Step-by-step explanation:
Create an inequality to represent the weight of the barge to the max weight.
24 + 4r ≤ 400
Solve for r:
4r ≤ 400 - 24
4r ≤ 376
4r ≤ 376/4
r ≤ 94
Answer:
See below
Step-by-step explanation:
Remember that quadratic functions are parabolas when graphed. The solutions are where the parabola crosses the x-axis.
1. The vertex of the parabola in f(x) is (0, 9) which is above the x-axis and the parabola opens up. So the parabola does not cross the x-axis. Therefore the solutions are imaginary.
2. The vertex of the parabola in g(x) is (9, 0) which is on the x-axis and parabola opens up. Therefore, there is a double solution.
3. The vertex of the parabola in h(x) is (-1, -9) which is below the x-axis and the parabola opens up. Therefore, there are two real solutions.
I know this is a long explanation, but that is a way of looking at the problem.
When you say "at the same ratio", you mean that you consume the same amount of gas for the same amount of miles.
We know that everytime you drive 75 miles, you use 3 gallons of gas.
Since 12 gallons of gas is four times 3 gallons of gas, if the ratio remains the same, you can drive four times the distance:
You drive 75 miles, and use 3 gallons.
You drive 75 more miles (so you are at 
miles) and use 3 more gallons, so you use 
gallons.
You drive 75 more miles (so you are at 
miles) and use 3 more gallons, so you use 
gallons.
You drive 75 more miles (so you are at 
miles) and use 3 more gallons, so you use 
gallons, and you're done.
Answer:
Because 180 is bigger than 3 and your trying to divide 180 into 3. Which isn't gonna come out an even number. 0.01666666666 is a lot smaller than 3.
Step-by-step explanation:
Hope this helped!!!
Answer:
16/28
Step-by-step explanation:
Multiply both the denomator and numerator by 4
