Respuesta :
The number of the lions that live in the region investigated by the considered scientist is 80.
How to form mathematical expression from the given description?
You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
For this case, we're specified that:
- He locates and tags lions on Thursday
- On friday, he locates 10 less lions than he had on Friday.
- He notices (on friday) that 4 of the lions are tagged.
- The number of lions caught on thursday was a fifth of the total number of lions.
Let we take:
x = number of lions the scientist located and tagged on thursday.
Then, we get:
x - 10 = number of lions the scientist located (and assumingly found that they're tagged) on friday,
4 = number of lions he found tagged on friday.
That means, x -10 is same number as 4
or, we get:
[tex]x - 10 = 4\\\text{Adding 10 on both the sides}\\\\x = 14[/tex]
That means, on thursday, the scientist located and tagged 14 lions.
Now, suppose that the region had 'y' number of lions,
Then, as per the data in the question,
one-fifth of y = number of lions located by scientist on thursday
or, we get:
[tex]\dfrac{y}{5} = x\\\\\dfrac{y}{5} = 14\\\\\text{Multiplying 5 on both the sides}\\\\y = 80[/tex]
Thus, the number of lions that live in the region considered is 80
Learn more about forming equations here:
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The total number of lines is 70.
We have given that,
A scientist wants to estimate the number of lions living in a region.
On Thursday, he locates and tags some lions.
On Friday he returns and locates 10 less lions than he had on Thursday.
He notices that 4 of the lions are tagged
The scientist works out an estimate for the total number of lions living in the region.
we have to determine the no of lines in the length.
on Thursday no.of lines=x
on friday=(x-10)=4
x-10=4
add like terms
What is the like terms?
Like terms are terms whose variables and their exponents such as the 2 in x^2 are the same.
x=10+4
x=14
No.of total lions =5th of (no. of tagged on Thursday.)
=5(14)
=70
Therefore the total number of lines is 70.
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