Mathematics: 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 the value of y in terms of x ?

The average (arithmetic mean) of y numbers is x.

Ответ:

siri5645

31.12.2021

Mathematics

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

0,0(0 оценок)

Ответ:

geekymuin

15.05.2021

Mathematics

Hope this isn't too late. The Answer Is D.

Step-by-step explanation:

The graph line becomes dotted when the inequality is less than or greater than, never less than or equal to./ greater than or equal to. This leaves to choices: B and D. D is the correct answer because the way the shading is going. because the shading is going up that means that the inequality is greater than.

0,0(0 оценок)

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 the value of y in terms of x ?

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question