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
Juliette [100K]
2 years ago
14

Nine scores have an average of 8. Scores x and x+1 are added, and these increase the average to 9. Find x

Mathematics
1 answer:
Degger [83]2 years ago
3 0

Answer:

x must be 13

Step-by-step explanation:

Represent the nine scores by a, b, c, d, e, f, g, h, i.

Write the following equation to indicate that the average of these nine scores is 8:

a+b+c+d+e+f+g+h+i

----------------------------- = 8, or <em>a+b+c+d+e+f+g+h+i = 72</em> if we multiply both

               9                      sides of this equation by 9.

Next, we add scores x and x+ 1 to

a+b+c+d+e+f+g+h+i  +  x + x + 1

and divide the result by 11, as there are now 11 scores instead of just 9:

a+b+c+d+e+f+g+h+i  +  x + x + 1

----------------------------------------------

                        11

Earlier, we saw that a+b+c+d+e+f+g+h+i = 72.  We can now replace

a+b+c+d+e+f+g+h+i in the above fraction by 72:

 72 + 2x + 1

------------------- = 9 (as the new average is 9)

         11

Multiplying both sides of this equation by 11 results in:

73 + 2x = 99, or  2x = 26.

Then x must be 13, and x + 1 must be 14.

You might be interested in
WILL MARK BRAINLIEST A satellite is to be put into an elliptical orbit around a moon as shown below. A vertical ellipse is shown
Radda [10]

Answer:

a=567 km+900 km

a=1,467 km

b=567 km+169 km

b=736 km

x^2/a^2+y^2/b^2=1

x^2/(1,467)^2+y^2/(736)^2=1

Step-by-step explanation:

7 0
3 years ago
What is the equation of a line that passes through (6,3) and has a slope of -2/3
goldenfox [79]

Answer:

y=mx+b = 3y=6x+-2/3

Step-by-step explanation:

hope this is better

6 0
3 years ago
Nellle has her hair styled by her hair stylist. The styling costs $85 and Nellie wants to leave a 30% tip. There is a tax rate o
Setler [38]

Answer:

115.60

Step-by-step explanation:

for a tip 85x 0.30=25.50

tax 85x0.06=5.10

total extra money 5.10+25.50=30.60

total money payed 85+30.60=115.60

Hope this helped

Please mark Brainlist

4 0
2 years ago
2 more than a number
goblinko [34]

Step-by-step explanation:

Let the number be x

2 more than a number = x + 2

3 0
3 years ago
Read 2 more answers
A charger costs $6. How much would you need to pay after 10% sales tax has been applied?
Vanyuwa [196]
Depends on the state but lmk
8 0
2 years ago
Read 2 more answers
Other questions:
  • 2 times the square root of 7 to the 2nd power
    13·2 answers
  • 60 miles on 2.5 gallons?
    13·1 answer
  • M2-3m+ 24 = 7m<br> solve by factoring
    10·1 answer
  • Which number of rows could be used to make an array with 12 daises<br><br> A. 3<br> B. 5
    13·2 answers
  • Hunter spent 2/3 of his money on a video game. If Hunter spent $65 on a video game, how much total money did Hunter have?
    14·1 answer
  • The newly elected president needs to decide the remaining 7 spots available in the cabinet he/she is appointing. If there are 13
    10·1 answer
  • Write a question about Teresa and the sock puppets for which the answer is 3 explain the answer
    6·2 answers
  • PLEASE HELP! 50 POINTS!!!!! Which expression(s) are equivalent to -2x + 10
    12·1 answer
  • PLEASE HELP ASAP!!!FOR A A TEST!
    6·1 answer
  • If m &lt; 8 = 106 and m &lt; 3 = (6x-4) what is the value of x.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!