. The total cost (t) is proportional to the number (n) of items purchased at a constant price of $3.

Mathematics

1 answer:

navik [9.2K]3 years ago

3 0

Answer

t = 3n

Step-by-step explanation:

n and t are proportional so you know they will be on the opposite ends of the equal sign. Then you know that the items are purchased at the constant price of $3. That means you do the number of items times 3 to get the total cost.

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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

Anastasy [175]

Given,

AM of y numbers = x.

Let the sum of y numbers be s.

AM of y numbers = x

$\frac{s}{y} = x$

$s = y*x$

Given, when 30 is added to the y numbers, the AM becomes x - 5.

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

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

$y*x + 30 = (x -5)( y +1)$

$y*x + 30 = y*x + x - 5y -5$

$5y = x - 5 -30 = x - 35
$

$y = \frac{x -35}{5}$