Let speed of the boat in still water = x miles per hour
Let speed of the current = y miles per hour
When water and current both flow in same direction then effective speed will be sum of both speeds that is (x+y)
now plug the given values in formula speed=distance/time
we get equation:
(x+y)=160/8
or x+y=20...(i)
When water and current both flow in opposite direction then effective speed will be difference of both speeds that is (x-y)
now plug the given values in formula speed=distance/time
we get equation:
(x-y)=160/40
or x-y=4
or x=4+y...(ii)
plug value of x into (i)
4+y+y=20
4+2y=20
2y=16
y=8
plug value of y into (ii)
x=4+8=12
Hence final answer is given by:
Speed of the boat in still water = 12 miles per hour
Speed of the current = 8 miles per hour
Using point slope formula it would be
Y - 5 = 2 • ( x + 8)
Step-by-step explanation:
Answer:
31.2 lbs
Step-by-step explanation:
Let 2x = weight of oranges
5x = weight of apples
6x = weight of pears
2x + 5x + 6x = total weight
2x = 4.8
x = 2.4
4.8 + 5(2.4) + 6(2.4) = 4.8 + 12 + 14.4
= 31.2 lbs
Answer:
It was an exponential increase
In 3 months, the bill will be $285.61
Step-by-step explanation:
First, this scenario is exponential, because the price of food is increasing with a percentage, based on the price that it was the previous amount.
Next, to find what the bill will be in 3 months, an equation needs to be made representing the situation.
Use the standard exponential equation: y = ab^x, where a is the initial amount, b is the growth rate, and x is the amount of time.
Plug in the values we know:
y = 130(1.3)^3
Solve for y
y = 285.61
So, 3 months later, the bill will be $285.61
