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larisa [96]
2 years ago
10

A farmer wanted to estimate how many moles were living on his property, so he marked 39 of them with tags. A few weeks later, th

e farmer drove around his property and noticed 21 tagged moles out of the 420 moles he counted. To the nearest whole number, what is the best estimate for the mole population?
Mathematics
2 answers:
kiruha [24]2 years ago
8 0

Answer:

741

Step-by-step explanation:

The farmer noticed 21 tagged moles out of the 420 moles he counted. This means that he counted 420-21 moles that didn't have a tag. The answer to that is 399. Then, the ratio is 399:21. That simplifies it to 19:1. Since he tagged 39, 19x39 would be the answer, which is 741.

nexus9112 [7]2 years ago
6 0

Answer:

I think the answer is 819, but I am not sure.

Step-by-step explanation:

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176

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How many numbers are equal to the sum of two odd, one-digit numbers?
Dennis_Churaev [7]

Answer:

Seven numbers.

Step-by-step explanation:

Finding the numbers, which are equal to the sum of two odd number and it has to be single digit number.

Lets look into numbers which are odd and single digit.

1 = 1+3, 1+5, 1+7, 1+9

∴ Sum of the number is 4,6,8\ and\ 10

3 = 3+5, 3+7, 3+9

∴ Sum of above number is 8,10\ and\ 12

5 = 5+7, 5+9

∴ Sum of above number is 12\ and\ 14

7= 7+9

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3 years ago
Prove the following statement.
jolli1 [7]
<h2>Step-by-step explanation:</h2>

As per the question,

Let a be any positive integer and b = 4.

According to Euclid division lemma , a = 4q + r

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r = 0, 1, 2, 3

Since, a is an odd integer, and

The only valid value of r = 1 and 3

So a = 4q + 1 or 4q + 3

<u>Case 1 :-</u> When a = 4q + 1

On squaring both sides, we get

a² = (4q + 1)²

   = 16q² + 8q + 1

   = 8(2q² + q) + 1

   = 8m + 1 , where m = 2q² + q

<u>Case 2 :-</u> when a = 4q + 3

On squaring both sides, we get

a² = (4q + 3)²

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Now,

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Also we know, a = 4q +1 and 4q +3 are not divisible by 2 means these all numbers are odd numbers.

Hence , it is clear that square of an odd positive is in form of 8m +1

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