Short Answer: 18 minutes
Remark
The answer to this problem is less than the smallest time of the two people working together. that fact lets out C and D (38 minutes and 75 minutes). Now you have to choose 15 minutes and 18 minutes. There's a method. No guessing needed.
Givens
Let the time for Sophie = S
Let the time for Simon = M
Let the job to completion = 1
S = 45 minutes
M = 30 minutes
Step One
Convert minutes to hours.
45 minutes = 45 / 60 = 3/4 hour = 0.75 hour
30 minutes = 30 / 60 = 1/2 hour = 0.50 hour
Step Two
Set up the Equation
The formula is a form of job / hour.
Let the time = t that they both have to work
job = 1 in these problems.
1/S + 1/M = 1/t
1/0.75 + 1/0.5 = 1/t
Solve
1 ÷ 0.75 = 1.33333
1 ÷ 0.5 = 2
1.3333 + 2 = 3.33333
3.3333 = 1 / t Multlply both sides by t
3.3333*t = 1
t = 1 / 3.333333333
t = 0.3 of an hour
1 hour = 60 minutes
0.3 hours = x Cross Multiply
x = 60 * 0.3
x = 18 minutes
Answer working together it took them 18 minutes <<<<<
Answer: 3
Step-by-step explanation:
Given


For
to be true, the domain is given by observing the graph of two i.e.
. In this range
is greater than
.
From the above domain largest integer that can satisfy the condition is 3.
Answer:
The answer to your question would be C) y = 3x + 2.
Step-by-step explanation:
The components of a slope intercept form equation is the slope and the intercept. The y-intercept is the term thats by itself which, is +2. This means that the line goes through positive 2 on the plane. For the slope, it is always the coefficient thats next to the x variable. In this case, its 3, meaning that the next point that the line will be on is every 3 steps up and 3 steps towards the right. Hope this helps!
20 times 1/8+1/8+1/8+1/8+1/8=5/8 times 4 because of the four pots = 20