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Aliun [14]
2 years ago
15

13 = m/4 + 7 can you show work too

Mathematics
1 answer:
lukranit [14]2 years ago
7 0

The correct value of this equation is <u>m = </u><u>24</u>

<h3>Resolution method</h3>

This equation contains a fractional term. We note that the denominator of this equation is the <u>term 4</u>. Therefore, we will multiply the sides by <u>4</u>:

13 = m/4 + 7

13 . 4 = 4(m/4) + 7 . 4

52 = m + 28

Now, let's isolate the variable "as negative" and after the equality - we'll be subtracting the terms:

52 = m + 28

-m = 28 - 58

-m = -24

<u>m = 24</u>

Therefore, the correct value of this equation will be <u>m = 24</u>

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Which represents the solution set to the inequality<br> -1.5(4x + 1) &gt; 4.5 -2.5(x + 1)?
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<h2><u>The solution set to inequality is:</u></h2>

\boxed{-1.5\left(4x+1\right)>4.5-2.5\left(x+1\right)\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x

<em><u>Solution:</u></em>

<em><u>Given inequality is:</u></em>

-1.5(4x + 1) > 4.5 -2.5(x + 1)

We have to find the solution set to inequality

From given,

-1.5(4x + 1) > 4.5 -2.5(x + 1)\\\\\mathrm{Multiply\:both\:sides\:by\:}10\\\\-1.5\left(4x+1\right)\cdot \:10>4.5\cdot \:10-2.5\left(x+1\right)\cdot \:10\\\\-15\left(4x+1\right)>45-25\left(x+1\right)

Expand

-60x -15 > 45 -25x - 25\\\\Simplify\\\\-60x-15>-25x +20

\mathrm{Add\:}15\mathrm{\:to\:both\:sides}\\\\-60x-15+15>-25x+20+15\\\\Simplify\\\\-60x>-25x+35\\\\\mathrm{Add\:}25x\mathrm{\:to\:both\:sides}\\\\-60x+25x>-25x+35+25x\\\\Simplify\\\\-35x>35\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\\left(-35x\right)\left(-1\right)

<em><u>Thus the solution set is:</u></em>

-1.5\left(4x+1\right)>4.5-2.5\left(x+1\right)\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x

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