Answer:
ln e = 1
ln e 2x = 2x
ln 1 = 0
Step-by-step explanation:
ln e
ln(2.718282) = 1
In e 2x
ln(2.718282)(2)x = 2x
ln 1 = 0
Answer:
21 minutes divided by 7 walls = 3 minutes per wall for 5 people.
Assuming each worker has the same exact productivity, one person would take 15 minutes to paint a single wall (3 minutes x 5 people to get the amount of time for 1 worker per wall).
15 minutes for one worker multiplied by 5 walls = 75 minutes for one worker. Divide 75 minutes by 3 people = 25 minutes to paint all 5 walls with 3 people.
Step-by-step explanation:
Answer: 52
Divide 26/2 and you get 13, and then multiply 13 by 4. Think of it as a proportion.
If we let Q be the number of quarters and N be number of nickels, this is the formula we would use:
[1] 25Q + 5N = 635 (using cents instead of dollars)
We also know something about Q and N.
[2] Q + N = 51
So multiply both sides of the second equation by 5. The reason we do this is because we're going to need to cancel out one of the variables (either Q or N) to solve for the other one. If we multiply times 5, we'll have 5N in both equations.
5Q + 5N = 255
Now we have two equations, and the second one can be subtracted from the first.
25Q + 5N = 635
-(5Q + 5N) = -255
---------------------
20Q = 380
so
Q = 19
There are 19 quarters.
And since there are 51 coins in all, 51-19 = 32 nickels.
Answer:
m = 29/48
Step-by-step explanation:
Given that
x₂ = (y₂-y₁) +10 →(1
y₂ = y₁-x₁ → (2
y₁= 37
x₁ = 29
Now substitute the value of x₁ and y₁ into equation 2
y₂ = 37-29
y₂ = 8
Now substitute the value of y₂ and y₁ into equation 1
x₂ = (8-37) +10
x₂ = -19
As we know the slope (m) can be calculated as follows
m =(y₂ - y₁)/(x₂ - x₁)
m = (8- 37)/(-19 - 29)
m = (-29)/(-48)
m = 29/48
So our slope is 29/48
