D
explanation:
7/8 x 8/3=56/24—simplify—-> 7/3
Solution:
Here:
On 12 gallons of gas 144 miles is travelled.
So, for 1 mile :


is required.
Now,
for 240 miles:


is required.
But, according to question, the tank only contains 6 gallons of gas. So, see needs more (20 - 6) gallons of gas [i.e. 14 gallons of gas].
Answer: the speed of the current is 8 mph.
Step-by-step explanation:
Let represent the speed of the current
boat can travel 23mph in still water. This means that the total speed with which the boat travelled is (23 + x) mph.
Time = distance/speed
If it travels 248 miles with the current, it means that the time it took the boat to travel with the current is
248/(23 + x)
in the same length of time it travels 120 miles against the current. This means that the total speed with which the boat travelled is (23 - x) mph. The time it took the boat to travel against the current is
120/(23 - x)
Since the time is the same, it means that
248/(23 + x) = 120/(23 - x)
Cross multiplying, it becomes
248(23 - x) = 120(23 + x)
5704 - 248x = 2760 + 120x
120x + 248x = 5704 - 2760
368x = 2944
x = 2944/368
x = 8 mph
Parallel = same slope
Find slope of 3x + 5y = 8
Turn into y = mx + b
5y = -3x + 8
Divide by 5
y = -3/5x + 8/5
Slope is -3/5
Y = -3/5x + b, find y intercept
Plug in the point
4 = -3/5(10) + b
4 = -6 + b, b = 10
Final equation: y = -3/5x + 10