kalcius674
18.10.2020 •
Mathematics
Need help with 11. . . .
Solved
Show answers
More tips
- L Legal consultation How to Properly Inherit: Tips and Recommendations...
- H Health and Medicine Discover the Hidden Principles and Real Results of the Japanese Diet...
- H Health and Medicine Understanding Pregnancy Tests: What You Need to Know?...
- H Health and Medicine What Makes a Man a Man?...
- C Computers and Internet How to Get Rid of Spam in ICQ?...
- A Art and Culture Who Said The Less We Love a Woman, the More She Likes Us ?...
- F Family and Home How to Get Rid of Your Neighbors?...
- S Society and Politics How Could Nobody Know About the Dead Mountaineers?...
- H Health and Medicine How to Cure Adenoids?...
- H Health and Medicine Why Wearing a Back Brace Can Be Beneficial During Back Strain?...
Answers on questions: Mathematics
- M Mathematics In one study on the effect of tea tree oil on acne, 65 subjects were chosen randomly to use tea tree oil and 65 were chosen to use a placebo. In a second study, 165 subjects...
- M Mathematics What is the value of x in the diagram below? 9 units 45 degrees 30 degrees...
- M Mathematics What is the sixth term of a_(n)=-3*2^(n+1)?...
- M Mathematics Solve the inequality...
- M Mathematics HELPPP PLSSS Which of the following is the inverse of x = log5(y)? The 5 is at the bottom of log...
- M Mathematics What is 5/14 mulitypled by 4 in simplest form...
- M Mathematics In a recent survey for an upcoming city mayoral election, people were asked to name the political party they identified with and also the party of the candidate they were going...
- M Mathematics Solve for x: 4x - 2 6x + 8. (5 points) x -5 x 5 x 5 x -5...
- M Mathematics A double-blind experiment was conducted to evaluate the success of a Zika virus vaccine. What is the purpose of keeping treating physicians unaware of the treatment status of...
- M Mathematics For the first 2 home football games, the concession stand sold a total of 70 hamburgers. How many hamburgers can they expect to sell for all 11 games? Round to the nearest hamburger....
Ответ:
Explanation:
You have the right idea, but keep in mind that it says consecutive even integers. So we're only looking at numbers like 2,4,6,8,... and these numbers must follow one right after another. If that "even" wasn't there, then your answer and steps would be 100% correct.
If x is an even number, then x+2 is the next even number, and x+4 is the one after that.
Add them up to get
(x)+(x+2)+(x+4)
x+x+2+x+4
(x+x+x)+(2+4)
3x+6
Then divide by 3 to compute the average
(3x+6)/3
3x/3 + 6/3
x+2
Set this average equal to 48 and solve for x
x+2 = 48
x = 48-2
x = 46 is the smallest number
x+2 = 46+2 = 48 is the middle value
x+4 = 46+4 = 50 is the largest
Note how the middle value is exactly the average. This is because we have symmetry going on here.
It's similar to how the average of the set {1,2,3} is 2 since 2 is in the middle.
Check:
add the values: 46+48+50 = 144
divide by three: 144/3 = 48
The average of the set {46,48,50} is 48
This confirms the answer
Ответ:
Step-by-step explanation: