Substituting y=6x+2 into equation 3y - 18x =12 looks like:
3(6x + 2) - 18x = 12
18x + 6 - 18x = 12 distributive property left side
6 = 12 simplifying the left side
We now see a contradiction: 6 does not equal 12 What this tells us is that there is no solutions to this equation. So choice 'C' ...
Answer:
L = 38/W
Step-by-step explanation:
The area of a rectangle is computed by multiplying length by width. For length L and width W in inches, your rectangle has area ...
A = LW
38 = LW
Then the length can be found by dividing the equation by W:
L = 38/W
You need to include the radius.
Answer:
56.7
Step-by-step explanation:
We know
mean = sum / count, with count being the amount of papers corrected in this case. We want to find the sum of all the papers as well as the count to figure out the mean of all papers.
For Tony's papers,
mean = sum / count
50 = sum / 40
multiply both sides by 40 to isolate the sum
sum = 50 * 40 = 2000
For Alice's papers,
mean = sum / count
70 = sum / 20
multiply both sides by 20 to isolate the sum
70 * 20 = sum = 1400
The total sum of all 60 papers is equal to the sum of 40 papers + the sum of the remaining 20 papers, or 2000 + 1400 = 3400. The mean of the 60 papers is therefore
mean = sum / count
mean = 3400/60 ≈ 56.7
Answer:
They correspond. a/b=f/e
Step-by-step explanation: