1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anika [276]
3 years ago
7

The mean of 3 consecutive terms in an arithmetic sequence is 10, and the mean of their squares is 394. What is the largest of th

e 3 terms?
Mathematics
1 answer:
poizon [28]3 years ago
5 0
Let the numbers be:
a, a+b, a+2b
mean of the numbers is:
(a+a+b+a+2b)/3=10
(3a+3b)/3=10
a+b=10
thus second term is 10

The sum of square will be:
((10 - b)² + 10² + (10 + b)²<span>) / 3 = 394 
</span>(100 - 20b + b² + 100 + 100 + 20b + b²<span>) / 3 = 394
</span><span>(300 + 2b</span>²<span>) / 3 = 394
</span>(150+b²)=591
b²=441
b=-21,21

thus the numbers will be:
10-21, 10, 10+21
=-11,10,31
You might be interested in
Giving brainlyest<br> 5/8 +1/n = 7/8
aivan3 [116]

Answer:

Step-by-step explanation:

5/8 +1/n = 7/8

1/n= -5/8 +7/8

1/n = 2/8

1/n= 1/2

then you would try to get n by itself

by dividing n/1 to 1/n and 1/2

4 0
3 years ago
What is the slope intercept form of y-2 = 2 (x-3)
nevsk [136]

Answer:

y = 2x - 4

Step-by-step explanation:

<u>Step 1:  Convert to slope intercept form which is y = mx + b</u>

y - 2 = 2(x - 3)

y - 2 + 2 = 2x - 6 + 2

y = 2x - 4

Answer:  y = 2x - 4

5 0
3 years ago
How can i use decimal models to add decimals?
Vinil7 [7]
<span>Understand that a decimal is any number written in the base-10 system....

Represent decimals using area models.

State the fraction (tenths or hundredths) that is equivalent to a given decimal.
<span>
Compare the values of decimals (tenths or hundredths) using area models and/or a number line.</span></span>
3 0
3 years ago
Read 2 more answers
A theater has 28 rows of 38 seats downstairs and 14 rows of 26 seats upstairs.How many seats does the theater have?
Triss [41]
For downstairs- 28 x 38= 1064

For upstairs- 26 x 14= 364

All together- 1064 + 364= 1428


So.... 1428 seats in total.

Hope this helped! :)
3 0
3 years ago
If Joan reads 75 pages in 4 hours how long will it take her to read 250 pages?​
uysha [10]

Answer:10 hours to read all 250 pages

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • I need help finding the mean, median, mode, and range of 25.2, 45.5, 61.7, and 28.3
    11·1 answer
  • The measure of a single angle in a regular octagon is (4x + 12)Á. Find the value of x. Show equations and all work that leads to
    14·2 answers
  • Which statements about acceleration are true?
    10·2 answers
  • Examine the required sample size needed to be able to
    8·1 answer
  • 35. A pilot can travel 400 miles with the win
    14·1 answer
  • Can someone teach me how to do this????
    14·1 answer
  • Grandma gives 180 marbles to her ten grandchildren. No two children get the same amount of marbles. Betsy gets the most. What is
    11·1 answer
  • What is 3/12 as a precent
    7·2 answers
  • The volume of the cylinder is 84 pi inches squared What can be concluded about the volume of the cone? Check all that apply.
    9·2 answers
  • I need help with the answer in the photo!! Giving brainliest to first answer
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!