3 years ago

What is the solution to the inequality? 5(x−2)<−3x+6

Mathematics

1 answer:

goldfiish [28.3K]3 years ago

5 0

Answer:

x<2

Step-by-step explanation:

multiply 5 by the numbers inside the parenthesis

5x-10<-3x+6

add 10 to both sides

5x-10+10<-3x+6+10

simplify

5x<-3x+16

add 3x to both sides

5x+3x<-3x+16+3x

simplify

8x<16

divide by 8

8x/8 < 16/8

x<2

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Vinvika [58]

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7 0

2 years ago

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
$

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