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2 years ago

A number is divided by five. Then subtract 8. The result is 12. What was the original number?

Mathematics

1 answer:

zlopas [31]2 years ago

4 0

Answer:

Step-by-step explanation:

5 / 4 = 20 20 - 8 =12

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4 - 5/2 * (1/10x) = 1 what is the value of x

Inga [223]

$4 - 5 / 2 * (1/10x) = 1\\$

The first step is to identify the order in which the equation must be solved, by following PEMDAS (you might know it as BEDMAS):

Parenthesis (or Brackets)

Exponents

Multiplication and Division

Addition and Subtraction

My advice would be to add parenthesis, following these rules, if you are not very good at finding them immediately by sight.

So:

$4 - 5 / 2 * (\frac{1}{10x}) = 1\\\\4 - [(5/2)*(\frac{1}{10x})]=1\\\\4-(2.5*\frac{1}{10x})=1\\\\4-\frac{2.5}{10x}-1=0\\3-\frac{x}{4}=0\\\frac{x}{4}=3\\x=3*4\\x=12$

We check our answer:

$x=12\\4 - [(5 / 2) * (1/10)*(x)] = 1\\4 - [(5 / 2) * (\frac{1}{10}) * (12))] = 1\\4 - [2.5 * (\frac{1}{10})*12] = 1\\4 - [(\frac{2.5}{10})*12] = 1\\4 - [(\frac{1}{4})*12] = 1\\4 - 3 = 1\\1=1$

We are right!

So, $x=12$ .

6 0

4 years ago

Find the common factor and rewrite. Type your answer in the box. Do not use any spaces.

finlep [7]

Common factor is 4X

Rewriting the term we get: $4X(Y + 2Z)$

Step-by-step explanation:

We need to find the common factor of the expression: $4XY + 8XZ$

A common factor is the term that is common in all the terms of the expression.

In the given expression the common factor is: 4X because it is common in both terms

$4XY + 8XZ$

$=4X(Y + 2Z)$

So, Common factor is 4X

Rewriting the term we get: $4X(Y + 2Z)$

Keywords: Factors

Learn more about factors at:

#learnwithBrainly

3 0

4 years ago

Reflect (10,-8) over the x-axis

cricket20 [7]

Answer:

(10,8)

Step-by-step explanation:

Symmetry over x axis: you keep x, but change the sign of y value.

So, the symmetric of (10,-8) is (10,8)

3 0

4 years ago

A book with 650 pages has 3 pages with diagrams.

Mrac [35]

The pages that have diagrams is an illustration of proportions

0.46% pages have diagrams

<h3>How to determine the percentage</h3>

The given parameters are:

Total = 650 pages

Diagrams = 3 pages

The percentage of page that has diagram is then calculated as:

$Diagram\% = \frac{Diagrams}{Total} * 100\%$

So, we have:

$Diagram\% = \frac{3}{650} * 100\%$

Evaluate the product

$Diagram\% = \frac{300}{650} \%$

Divide

$Diagram\% = 0.46 \%$

Hence, 0.46% pages have diagrams

Read more about proportions at:

brainly.com/question/1781657

3 0

2 years ago

Which statement is true about this argument? premises: if an angle measure is greater than 90°, then the angle is an obtuse angl

vazorg [7]

Answer: option d. the argument is valid by the law of detachment.

The law of detachment consists in make a conlcusion in this way:

Premise 1) a => b
Premise 2) a is true

Conclusion: Then, b is true

Note: the order of the premises 1 and 2 does not modifiy the argument.

IN this case:

Premise 1) angle > 90 => obtuse

Premise 2) angle = 102 [i.e. it is true that angle > 90]]

Conclusion: it is true that angle is obtuse

3 0

4 years ago

Read 2 more answers