David rowed a boat upstream for three miles and then returned to point he started from. The entire journey took four hours. The speed of the stream is one mile per hour. Find David's speed in still water. (Hint: speed = distance ÷ time, upstream speed = speed of the boat – speed of the stream, and downstream speed = speed of the boat + speed of the stream) David's speed in still water is ____ miles per hour.
Answers
time = distance / speed
Given that the entire journey takes four hours, add up the time it takes David to row upstream with that of him travelling downstream. This is mathematically represented as,
total time = time upstream + time downstream
4 = 3/(x - 1) + 3/(x +1)
Solving for x in the equation gives 2. Thus, David's speed in still water is 2 miles per hour.
Related Questions
Help pls! ill mark brainliest if correct
Order from least to greatest with decimals
Determine whether it is possible to form a triangle using each set of segments with the given measurements.7.4 centimeters, 8.1 centimeters, 9.8 centimetersYes or No.
Find the slope of (-5,28) and (-4,23)
Answers
Answer:
180
Step-by-step explanation:
let x = total units of electricity after 250 units
the total units of electricity consumed can be determined using the formula below
80 + 7.3x = 1248
7.3x = 1248 - 80
7.3x = 1168
divide both sides of the equation by 7.3
x = 1168 / 7.3
x = 160
total electricity consumed = 160 + 20 = 180
160
Answers
a n = a 1 * r^(n-1)
a 1 = 7
r = 2
a 9 = a 1 * r^8 =
= 7 * 2^8 = 7 * 256 = 1,792
Answer:
The ninth term of the geometric sequence is 1,792.
Answer:
The ninth term of the geometric sequence is 1,792.
Step-by-step explanation:
A) 1 over 10 minus 1 over x equals 1 over 25
B) 1 over 10 minus 1 over 25 equals 1 over x
C) 1 over 25 minus 1 over x equals 1 over 10
D) 1 over 10 minus 1 over x equals x over 25
Answers
1/10 - 1/x = 1/25
Therefore, the answer is A
Answer: The correct option is
A) 1 over 10 minus 1 over x equals 1 over 25
Step-by-step explanation: We are given to select the correct option that can be used to determine the amount of time it takes for Gillian to empty the sorter if Perry does not add oranges.
Let, 'x' minutes be the amount of time it takes for Gillian to empty the sorter if Perry does not add oranges.
We have
Time taken by Perry to fill the sorter with oranges from the conveyor belt
= 10 minutes.
So, in 1 min, the portion of the sorter filled by Perry from conveyor belt is
While Gillian taking oranges out of the sorter, time taken by Perry to fill the sorter with oranges = 25 minutes.
So, in 1 min, the portion of the sorter filled by Perry is
Time taken by Gillian to empty the sorter if Perry does not add oranges = x min.
So, in 1 minute, the portion of the sorter emptied by Gillian is given by
Therefore, the required equation that determine the amount of time it takes for Gillian to empty the sorter if Perry does not add oranges is given by
Thus, (A) is the correct option.
Answers
1. Add the a's on both sides:
9a - 3 = 4a - 3
2. Shift 4a to the left and -3 to the right of the equals sign (this changes their signs):
9a - 4a = -3 + 3
3. Simplify:
5a = 0
So a = 0
Applying simple mathematical operations, after isolating 'a' we get the solution o =f the given expression is a = 0.
Using operations like addition, subtraction, multiplication, and division, a mathematical expression is defined as a group of numerical variables and functions.
The given expression is
8a+a-3=6a-2a-3
To solve this equation:
Simplify the like terms,
9a-3 = 4a-3
Add 3 on both sides,
9a = 4a
Isolate a by subtracting 4a on both sides,
5a = 0
Dividing both sides by 5 we get,
a = 0.
Hence,
The solution of the given expression a = 0.
To learn more about the mathematical expression visit:
#SPJ6
Answers
2A = bh Divide both sides by h
b =
A. 18√3
B. 9√6
C. 3√6
D. 6√3
Answers
Answer:
I think it's B I'm not very sure