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
OlgaM077 [116]
3 years ago
7

The average (arithmetic mean) of y numbers is x. If 30 is added to the set of numbers, then the average will be x − 5. What is t

he value of y in terms of x ?

Mathematics
2 answers:
Alenkasestr [34]3 years ago
6 0

Answer:

y = \frac{1}{5}(x^{2}-35x)

Step-by-step explanation:

Let the total numbers are n.

If the average of y numbers is x then we can form an equation

\frac{y}{n}=x

⇒ \frac{n}{y}=\frac{1}{x}

⇒ n = \frac{y}{x} --------(1)

Now 30 is added to the set of numbers then average becomes (x - 5)

\frac{y+30}{n+1}=(x-5)

⇒ \frac{(n+1)}{(y+30)}=\frac{1}{(x-5)}

⇒ (n + 1) = \frac{y+30}{x-5}

⇒ n = \frac{y+30}{x-5} - 1 ----- (2)

Now we equate the values of n from equation 1 and 2

\frac{y}{x} = \frac{y+30}{x-5} - 1

y(x - 5) = x(y + 30) - x(x - 5)  [ By cross multiplication ]

xy - 5y = xy + 30x - x² + 5x

xy - xy - 5y = 35x - x²

-5y = 35x - x²

x² - 35x = 5y

y = \frac{1}{5}(x^{2}-35x)

aleksley [76]3 years ago
6 0

Answer: y = x/5 - 7

Step-by-step explanation:

Please see the workings attached .

You might be interested in
Can someone please help me with this ??
Elis [28]

Answer:

future: a day, a week, or even a few months from now.

short-term goal

long-term goal

intermediate goal

specific goa

Step-by-step explanation:

please mark me as brainliest hi

7 0
3 years ago
What is greater 5/8'' or 7/16''
loris [4]
5/8 i think if i’m wrong i’m soo sorry
6 0
3 years ago
A set of bivariate data was used to create a least-squares regression line. Which of the following is minimized by the line? The
Akimi4 [234]

Answer:

The sum of the squared residuals

Step-by-step explanation:

If you sum the residuals, you would get 0

if you sum of the absolute values of the residuals you wouldn't be doing "least-squares regression"

The influence of outliers D The slope is another metric that has nothing to do in creating the regression line

8 0
3 years ago
What’s the answer to this help
Y_Kistochka [10]
You can buy 25 cans of oil
23/.92=25
3 0
3 years ago
Read 2 more answers
Question is in the picture please show work
postnew [5]

Answer:

D

Step-by-step explanation:

The m=3/4 when graph

6 0
3 years ago
Read 2 more answers
Other questions:
  • Jose is very hungry after doing his math homework he agrees to pay for 2/3 of the pizza that he and Charlie ordered the pizza co
    14·1 answer
  • Choose the abbreviation of the postulate or theorem that supports the conclusion that the triangles are congruent.
    11·2 answers
  • A horizontal pull A pulls two wagons over a horizontal frictionless floor, the first wagon is 500N, the second is 2000 N. The te
    13·1 answer
  • Y^2 − x^2 = 100 is that a function or no?
    7·2 answers
  • The average of six numbers is 4. If the of two of those numbers is 2, what is the average of the other four numbers?
    15·1 answer
  • Jessica borrow $316 for 9 months he paid it off by paying $38.27 monthly what will she pay in finance charges​
    8·2 answers
  • ASAP! hurry please! :)
    15·1 answer
  • Jason went to a carnival where he could go on all rides for a flat free of $30 but he had to pay $2 for each arcade game he play
    10·1 answer
  • Answer the problem below please. Thank you.
    7·1 answer
  • 25x - 80 = 120 cant figure this i need help please
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!