Answer:
you too
Step-by-step explanation:
The estimate for the total number of bees in her hive is 190 bees
<h3>How to find the total estimate of the bees ?</h3>
She catches 90 of the bees on Monday and she puts mark on each bees and return them to her hive.
On Tuesday she catches 120 of the bees. She find out that 20 of the bees has been marked.
This means only 100 bees have not been marked on Tuesday.
Therefore, the total number of bee in her hives is as follows:
total number = 90 + (120 - 20)
total number = 90 + 100
total number = 190 bees
learn more on estimate here:brainly.com/question/16670022
#SPJ1
Answer:
x = 4
Step-by-step explanation:
We can use cross products to solve
84/12 = 28/x
84 * x = 12 *28
Divide each side by 84
84x/84 = 12*28/84
x =4
Answer:
82 inches
Step-by-step explanation:
The difference between consecutive even integers is 2, thus
let the legs be n and n + 2
Using Pythagoras' identity in the right triangle
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
n² + (n + 2)² = 58² ← expand and simplify left side
n² + n² + 4n + 4 = 3364 ( subtract 3364 from both sides )
2n² + 4n - 3360 = 0 ( divide all terms by 2 )
n² + 2n - 1680 = 0 ← in standard form
(n + 42)(n - 40) = 0 ← in factored form
Equate each factor to zero and solve for n
n + 42 = 0 ⇒ n = - 42
n - 40 = 0 ⇒ n = 40
But n > 0 ⇒ n = 40
and n + 2 = 40 + 2 = 42
Thus sum of legs = 40 + 42 = 82 inches
