Six times a number is greater than 20 more than that number. Which are the possible values of that number?

2 answers:

4 0

I don't know how to make a 'greater than' sign.

6x is greater than x + 20
6x - x is greater than 20
5x is greater than 20
x is greater than 20 divided by 5
x is greater than 4

So, any number greater than 4 will work in this equation.

liberstina [14]2 years ago

4 0

6 times a number is greater than 20 more than that number

6 times a number means 6 times x
is greater than means >
20 more than that number means 20+x

6x>20+x
minus x both sides
5x>20
divide both sides by 5
x>4

x is any number more than 4

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Over the course of a year, a company goes from 115 employees to 124 employees.

just olya [345]

An equation that could be used to find the percent change, p, in the number of employees is:

$\begin{array}{l}{p=\frac{\text {change in number of employees}}{\text {previous count}} \times 100} \\\\ {\mathrm{p}=\frac{9}{115} \times 100}\end{array}$

<h3><u>Solution:</u></h3>

Given that, Over the course of a year, a company goes from 115 employees to 124 employees.

Given that "p" represents the percent change

Percentage change equals the change in value divided by the absolute value of the original value, multiplied by 100.

$\text { Percent change "p" }=\frac{\text { change in number of employees }}{\text { previous count }} \times 100$

Change in number of employees = present count – previous count

So, change in number of employees = 124 – 115 = 9

$\begin{array}{l}{p=\frac{9}{115} \times 100} \\\\ {p=\frac{9}{23} \times 20} \\\\ {p=\frac{180}{23}=7.82}\end{array}$

The equation that is used to find the percent change is:

$\begin{array}{l}{\mathrm{p}=\frac{\text { change in number of employees }}{\text { previous count }} \times 100} \\\\ {\mathrm{p}=\frac{9}{115} \times 100}\end{array}$