2 years ago

Six times a number is decreased by 20 which is equal to three times the number increased by 4. what is the number?

1 answer:

8 0

Let the number be a
6a - 20 = 3a + 4
Group like terms
6a - 3a = 20 + 4
3a = 24
divide through by 3
a = 8
Therefore the number is 8

You might be interested in

Erika paid a self-employment tax last year. She calculated the self-employment tax for different amounts of net earnings and rec

Julli [10]

Answer:

the answer is B

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

What is 10 squared plus b squared equals 22 squared

klio [65]

I'm pretty sure you are asking for the value of b. Let's actually write it and then solve it:
$10^2 + b^2 = 22^2$

Solving for b yields:
$b = \sqrt{22^2-10^2} = \sqrt{484-100} = \sqrt{384} = 19.59$

So, b = 19.59. If you want the answer in simplified radical form, we can also do that:
$\sqrt{384} = \sqrt{16*24} = 4 \sqrt{24} = 4 \sqrt{4*6} = 8 \sqrt{6}$

So, b = 8√6 = 19.59

4 0

2 years ago

A quadratic equation of the form 0 = ax2 + bx + c has a discriminant value of –16. How many real number solutions does the equat

vredina [299]

$\bf \qquad \qquad \qquad \textit{discriminant of a quadratic} \\\\\\ y=\stackrel{\stackrel{a}{\downarrow }}{a}x^2\stackrel{\stackrel{b}{\downarrow }}{+b}x\stackrel{\stackrel{c}{\downarrow }}{+c} ~~~~~~~~ \stackrel{discriminant}{b^2-4ac}= \begin{cases} 0&\textit{one solution}\\ positive&\textit{two solutions}\\ \stackrel{-16}{negative}&\textit{no solution}~~\checkmark \end{cases}$