Solve for x. Show each step of the solution.
0.75 (x + 16) = 3 – 0.5 (x-8)

Solve For X. Show Each Step Of The Solution.0.75 (x + 16) = 3 0.5 (x-8)

Answers

Answer 1

Answer:

x= 18.29

Step-by-step explanation:

- distribute then simplify- .75x + 12 = 2.5x - 20

- subtract .75x from each side- 12 = 1.75x - 20

- add 20 on each side- 32 = 1.75x

- divide each side by 1.75x- x= 18.29

not 100% sire if thats correct

Answer 2

[tex]0.75\left(x+16\right)=3-0.5\left(x-8\right)[/tex]

[tex]0.75\left(x+16\right)\cdot \:100=3\cdot \:100-0.5\left(x-8\right)\cdot \:100[/tex]

[tex]75\left(x+16\right)=300-50\left(x-8\right)[/tex]

[tex]75x+1200=-50x+700[/tex]

[tex]5x+1200-1200=-50x+700-1200[/tex]

[tex]75x=-50x-500[/tex]

[tex]75x+50x=-50x-500+50x[/tex]

[tex]125x=-500[/tex]

[tex]\frac{125x}{125}=\frac{-500}{125}[/tex]

[tex]x=-4[/tex]

Hope I helped you!Success!


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Answer:

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Answers

Answer:

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Step-by-step explanation:

3m-6-2m=3

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Hi there! Your answer is m = 9

Please see the explanation for a clear understanding to the problem.

Any questions about the answer/explanation, feel free to ask in comments! :)

Step-by-step explanation:

Goal

Solve the equation for m-term.

Given

Equation

[tex]\Large{3m-6-2m=3}[/tex]

Step 1

Combine like terms.

Like terms are the terms have same variables. For example, 2m and 3m. 2m and 3m both are like terms because they both have same variable which is m-term.

But 2m and 3a are not like terms because 2m has m-term as a variable but 3a has a-term as a variable. Both are terms but not like terms.

From the equation:

[tex]3m-2m=3+6[/tex]

Since we combine like terms, we can't combine a constant with a variable so we move to the side where they are alike.

Evaulate 3m-2m = m and 3+6 = 9

[tex]m = 9[/tex]

There aren't really much steps solving this. The next step is going to be how to check an answer. It's useful when you are not certain or sure about the answer that you get. If you are not certain on the answer, this step is highly advised for a beginner.

Optional Steps - Answer Check

Step 2

Substitute m = 9 in the equation.

The step is optional as said. From the equation:

[tex]3m-6-2m=3[/tex]

We can do this two ways which are when we simplify the equation then substitute in the value of m or we substitute m-value first then simplify/evaluate.

I will be demonstrating these two steps to you.

Step 2.1

Simplify/Evaluate before Substitution

[tex]3m-6-2m=3\\3m-2m=3+6\\m=9\\9=9[/tex]

Step 2.2

Substitution before Evaluation/Simplify

[tex]3m-6-2m=3[/tex]

Substitute m = 9 in the equation.

[tex]3(9)-6-2(9)=3\\27-6-18=3\\9-6=3\\3=3[/tex]

Notice that no matter which method you use, you'd still get the same answer. Since the equation is true for m = 9. Therefore, the solution is m = 9.

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Step-by-step explanation:

Given

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= 4[tex]\left[\begin{array}{ccc}4\\7\\\end{array}\right][/tex] - 2[tex]\left[\begin{array}{ccc}2\\4\\\end{array}\right][/tex] ← multiply each component by the scalar

= [tex]\left[\begin{array}{ccc}4(4)\\4(7)\\\end{array}\right][/tex] - [tex]\left[\begin{array}{ccc}2(2)\\2(4)\\\end{array}\right][/tex]

= [tex]\left[\begin{array}{ccc}16\\28\\\end{array}\right][/tex] - [tex]\left[\begin{array}{ccc}4\\8\\\end{array}\right][/tex] ← subtract corresponding components

= [tex]\left[\begin{array}{ccc}16-4\\28-8\\\end{array}\right][/tex]

= [tex]\left[\begin{array}{ccc}12\\20\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right][/tex]

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Answers

Answer:

The simplest form of 50:30 is 53.

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{Simplify the ratio 50:30}[/tex]

[tex]\\\textsf{Finding your GCF}\downarrow\\\\\textsf{30: 1, 2, 3, 5, 10, 15, 30}\\\textsf{50: 1, 2, 5, 10, 25, 30}\\\\\bold{GCF: \underline{10}}\large\checkmark[/tex]

[tex]\large\text{DIVIDE BOTH of the TERMS by 10}[/tex]

[tex]\mathsf{50\div10=5}\\\mathsf{30\div10=3}}[/tex]

[tex]\large\text{We had to reduce the ratio of 50:30 to your LOWEST TERMS}\\\large\text{by DIVIDING each of the TERMS by 10}[/tex]

[tex]\bold{Thus, that\ means\ that\ 50:30\ is\ simplified\ to \rightarrow 5:3}[/tex]

[tex]\boxed{\boxed{\huge\text{Answer: \bold{5:3}}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

If you multiply my number by -4 and subtract 20, the result is 8. What’s my number?

Answers

your number is -7.
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Answer:

It's -7

Step-by-step explanation:

-7 • -4=28 (multiplying 2 negatives gives you a positive)

28 - 20 =8

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