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4vir4ik [10]
3 years ago
11

To track the reptile population around a lake, researchers marked 36 turtles. A few weeks later, they counted 400 turtles, of wh

ich 20 were marked. To the nearest whole number, what is the best estimate for the turtle population?
Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
7 0

Answer: 720

Step-by-step explanation:

From the question, we are informed that cthe researches counted 400 turtles, of which 20 were marked. This implies that 20/400 = 1/20 were marked.

If the researchers wanted to track the reptile population around a lake, and the researchers marked 36 turtles, the estimate of the total population will then be:

1/20 × x = 36

x/20 = 36

x = 20 × 36

x = 720

The turtle population is 720

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List the first 5 terms of the sequence -3n -2.<br>​
katrin2010 [14]

Answer:

-5,-8,-11,-14,-17

Step-by-step explanation:

-3n -2

n=1   -3(1) -2 = -3-2 = -5

n=2   -3(2) -2 = -6-2 = -8

n=3   -3(3) -2 = -9-2 = -11

n=4   -3(4) -2 = -12-2 = -14

n=5   -3(5) -2 = -15-2 = -17

7 0
3 years ago
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Solomon can buy four sodas for $6. How much would 6 sodas cost?
zepelin [54]
It would be C. 9.00$. To solve you divide 6/4 and you get 1.50($). And then you multiply 1.50($) by 6 (sodas)!

3 0
4 years ago
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If anybody answers these questions I will get them brainliest and if somebody else verifies that it is the correct answer I can
valina [46]

Part (a)

<h3>Answer: x^3 + 12x^2 + 47x + 60</h3>

--------------------------

Work Shown:

Let's say we have

  • L = length = x+5
  • W = width = x+4
  • H = height = x+3

To find the volume of the block, we multiply the length width and height.

So,

volume = (length)*(width)*(height)

V = L*W*H

V = LW*(x+3) .... replace H with (x+3)

V = LW*x + LW*3 .... distribute

V = Lx*(W) + 3L*(W)

V = Lx(x+4) + 3L(x+4) .... replace W with x+4

V = Lx^2 + 4Lx + 3Lx + 12L .... distribute

V = Lx^2 + 7Lx + 12L

V = x^2*(L) + 7x*(L) + 12*(L)

V = x^2*(x+5) + 7x*(x+5) + 12*(x+5) .... replace L with x+5

V = x^3 + 5x^2 + 7x^2 + 35x + 12x + 60 .... distribute

V = x^3 + 12x^2 + 47x + 60

x^3 + 12x^2 + 47x + 60 is the polynomial in standard form that represents the volume of the block.

=======================================================

Part (b)

<h3>Answer: 336 cubic feet</h3>

--------------------------

Work Shown:

We can plug x = 3 into the polynomial we found

V = x^3 + 12x^2 + 47x + 60

V = (3)^3 + 12(3)^2 + 47(3) + 60

V = 27 + 12(9) + 47(3) + 60

V = 27 + 108 + 141 + 60

V = 336

Or we could find the volume like this

V = L*W*H

V = (x+5)*(x+4)*(x+3)

V = (3+5)*(3+4)*(3+3)

V = (8)*(7)*(6)

V = 336

Either way, we get the same volume of 336 cubic feet.

3 0
3 years ago
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kenny6666 [7]

Answer:

y = 63° because they are alternate angles.

3 0
3 years ago
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Given:

The given equation is:

16-3p=\dfrac{2}{3}p+5

To find:

The value of p.

Solution:

We have,

16-3p=\dfrac{2}{3}p+5

Multiply both sides by 3.

3(16-3p)=3\left(\dfrac{2}{3}p+5\right)

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Isolating the variable terms, we get

48-15=2p+9p

33=11p

Divide both sides by 11, we get

\dfrac{33}{11}=p

3=p

Therefore, the required solution is p=3.

7 0
3 years ago
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