Answer :
The correct answer is 50,000.
Explanation:
We can set up the equation 5000=1/10x to represent this situation.
To solve, we will divide both sides by 1/10:
5000÷(1/10) = (1/10x)÷(1/10)
5000÷(1/10) = x.
To divide fractions, flip the second one and multiply; this gives us
5000*(10/1) = x
50000 = x.
Explanation:
We can set up the equation 5000=1/10x to represent this situation.
To solve, we will divide both sides by 1/10:
5000÷(1/10) = (1/10x)÷(1/10)
5000÷(1/10) = x.
To divide fractions, flip the second one and multiply; this gives us
5000*(10/1) = x
50000 = x.
[tex]\boxed{ \ 5,000 \ is \ \frac{1}{10} \ of \ 50,000 \ }[/tex]
Further explanation
The question can be rewritten to [tex]\boxed{ \ 5,000 \ is \ \frac{1}{10} \ of \ P \ }[/tex]
This case about equations with one variable. We have to solve this calculation to obtain the value of P. Our task is to isolate the variable P alone at the end of the process on one side of the equation until the variable will be equal to a value on the opposing side.
Let's arrange it into an equation, i.e., [tex]\boxed{ \ 5,000 \ = \ \frac{1}{10} \times \ P \ }[/tex]
Turn this equation over so that the position of variable P is on the left side.
[tex]\boxed{ \ P \times \frac{1}{10} = 5,000 \ }[/tex]
Both sides are multiplied by 10 to isolate P on the left side. The fraction are eliminated.
[tex]\boxed{ \ P \times \frac{1}{10} \times 10 = 5,000 \times 10 \ }[/tex]
P = 50,000
Therefore, we have calculated the number that was asked.
Hence [tex]\boxed{ \ 5,000 \ is \ \frac{1}{10} \ of \ 5,0000 \ }[/tex]
Note:
The significant thing to carry out is how to manipulate both sides of the equation with the algebraic properties of equality such as:
- Adding
- Subtracting
- Multiplying, and/or
- Dividing both sides of the equation with a similar number
And the commutative property of multiplication, i.e., [tex]\boxed{ \ a \times b = b \times a \ }[/tex]
Learn more
- How do I solve [tex]\frac{2}{7}m - \frac{1}{7} = \frac{3}{14}?[/tex] https://brainly.com/question/1682776
- The similar case https://brainly.com/question/96882
- Investigating the stages of solving a word problem about one variable linear equations brainly.com/question/2038876
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