Raglan's Trout Sanctuary are trying to find out how many trout there are in a lake. They catch a sample of 95 trout and tag them.They then release these trout. The next day they catch another sample of 64 trout and find 8 of these trout had been tagged the previous day.Estimate the total number of trout in the lake.

Answers

Answer 1

Answer:

The total number of trout in the lake is 760.

Step-by-step explanation:

We are given that Raglan's Trout Sanctuary catch a sample of 95 trout and tag them. They then release these trout.

The next day they catch another sample of 64 trout and find 8 of these trout had been tagged the previous day.

Let the total number of trout in the lake be 'N'.

Number of trout caught and tagged = 95

Number of trout caught on next day = 64

Number of trout that were tagged the previous day = 8

This situation can be represented through the following ratio;

\(\frac{\text{Total number of trout}}{\text{Trout that were tagged}}= \frac{\text{ Number of trout caught }}{\text{Trout that were tagged}}\)

\(\frac{\text{N}}{95} = \frac{64}{8}\)

\(\frac{\text{N}}{95} = 8\)

\(\text{N} = 8 \times 95\) = 760

Hence, the total number of trout in the lake is 760.


Related Questions

Help me please il give 20 points!

Help me please il give 20 points!
Help me please il give 20 points!
Help me please il give 20 points!

Answers

Answer: 1. a. 15     b. 11     c. 2     d. 7     e. 5.5

2.  Stem:                   Leaf:

        1                           9

        2                         5, 9

        3                        3, 3, 8

        4                        0, 7, 9

        5                          4, 5

        6                           1, 5

        7                           2, 7

        8                             1

3. a. 13 inches        b. I'm pretty sure that it is the second quarter because there is more snow.           c. The first quarter because it's section is more spread out among the numbers.

Step-by-step explanation:

Answer: 1. a. 15 b. 11 c. 2 d.7 e. 5.5
2. Stem:
Leaf:
9
2
5, 9
3
3, 3, 8
4
0, 7, 9
5
4, 5
6
1,5
7
2, 7
8
1
3. a. 13 inches
b. I'm pretty sure that it is
the second quarter because there is more show.
c. The first quarter because it's
section is more spread out among the numbers.
Step-by-step explanation:

A rectangular prism with a volume of 4 cubic units is filled with cubes with side-lengths of 1/3 unit. How many 1/3 cubes does it take to fill the prism? PLEASE I NEED TO FINISH STUDYING! PLEASE SOMEONE HELP BEFORE 6:15!!! I WILL CROWN BRAINLIEST WHO ANSWERS FIRSTTTTT

Answers

Answer: 192 cubes

Step-by-step explanation:

You would divide 3 cubic units by 0.015625 cubic units

If dn = ‾‾√24, what value of n makes this equation true?

If dn = 24, what value of n makes this equation true?

Answers

Answer:

1/24

Step-by-step explanation:

Answer:

1/24 makes this equation true

Hall swam 34 laps in 1 2/3 hours. Find his swimming rate in laps per hour

Answers

1 2/3 = 5/3

5/3 ÷ 5/3 = 1

34 ÷ 5/3 = 34 x 3/5

102/5 = 20.4

20.4 laps per hour
First convert your fraction into a decimal
1 2/3 =1.66
They swam 34 laps so take 34 and divide it by 1.66
34/1.66= 20.48
So his swimming rate is 20.48 laps per hour

f the bathtub holds a total of 46.2 gallons, how many minutes would it take to fill the entire tub? Write an equation in one variable to help you solve the problem. The variable represents the unknown time in minutes.

Answers

46.4 gallon water bottle

Item 9

If I can make 60% of the free-throw shots that I take, how many shots would you expect me to make if I take 200 shots?


(Hint #1: It may be useful to draw a picture.)


(Hint #2: Think about finding 100%)


I would expect you to make

shots.

Answers

You would be able to make about 120 shots
about 120 shots i think

Determine if each scenario would produce more than one triangle, no triangle, or a unique triangle. Explain your reasoning for each scenario.

A triangle has an angle measuring 90 degrees, and angle measuring 20 degrees, and an included side that is 6 units long.


A triangle with angles measuring 30 degrees, 60 degrees, and 90 degrees.


A triangle with side lengths 2 inches, 4 inches, and 7 inches.

Answers

Answer:

1. Right angle triangle, 2. One triangle, 3. No triangle

Step-by-step explanation:

1. Has a 90-degree angle which makes it a right-angle triangle.

2. 30 + 60 + 90 = 180 degrees. Hence it satisfies the angle sum property so it is a triangle, a right-angle triangle.

3. It does not form a triangle as it does not satisfy the triangle inequality property, which is the sum of the two smaller sides should be greater than the larger side. 2 + 4 = 6, which is smaller than 7.

Which algebraic expression represents the phrase Six more than the product of 4 and the number of c cups?
A. (6 + 4)c
B. 6 + 4c
C. 4 + 6c
D. 6 × 4 × c

Answers

the answer is B
the number 4 and letter c get multiplied together because of the use of the word product. that leave the 6 to be added to that

6 + 4c algebraic expression represents the phrase Six more than the product of 4 and the number of c cups.

What is Expression?

An expression is combination of variables, numbers and operators.

We need to find the algebraic expression represents the phrase Six more than the product of 4 and the number of c cups

The phrase Six more than the product of 4 and the number of c cups" can be translated into an algebraic expression as

6 + 4c

more than in the sentence is addition and product is nothing but multiplication.

Therefore, 6 + 4c algebraic expression represents the phrase Six more than the product of 4 and the number of c cups.

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please write a function for the points (1/3,0) (-2 3/4,0) and (0,-5) and explain the steps.
thank you!

Answers

The function for the points are  y = -15x - 5

How to determine the function

From the information given, we have that;

The points are;

(1/3,0) (-2 3/4,0) and (0,-5)

Using the point-slope form of a linear equation, we have;

y - y₁ = m(x - x₁)

Such that;

m is the slope of the liney - y₁ and (x - x₁) are the points

Using (1/3, 0) and (0, -5), we have that the slope is;

m = (0 - (-5))/0 -1/3)

expand the bracket

= 5 / (-1/3)

= -15

Now, take any of the given points and substitute the values

Using (1/3, 0), we get;

y - 0 = -15(x - 1/3).

y = -15x - 5.

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The function for the points solved by  (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)

We have given the points:

(1/3,0) (-2 3/4,0) and (0,-5)

Using the formula of linear equation

\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)                                                          

Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)

that is 1/3 = \(a\), 0 = \(a_{1}\) and

0 = \(b\), -5 = \(b_{1}\)

\(x\) refers to the slope of line (take any variable)

Now for finding the value of \(x\),

\(x=a-a_{1}/b-b_{1}\)

inserting the values,

\(x=[0-[-5]]/[0-1/3]\\x= -15\)

Substitute the value of \(x\) in the equation

\(a-0=-15[b-1/3]\)

By simplifying the equation, we get

\(a=-15b-5\)

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terrance and his little brother roderick each have a pet fish. roderick is only five years old, so he has goldfish in a small bowl that holds 1890 ml of water terrance has several fish in a much larger bowl containing 1135 ml of water how much water in liters dose terrrance hold than rodericks.

A. 1.324 L
B. 94.6 L
C. 13.24 L
D. 9.46 L

Answers

Answer: Its D

Step-by-step explanation:

The answer is: D
I hope this helps have a great day night or evening :)

the ratio of the number of oranges to apples to bananas is 8:5:2. if there are 120 fruits in total, how many bananas are there

Answers

Answer:

Step-by-step explanation:

To find the number of bananas, we need to determine the proportion of bananas in the total number of fruits based on the given ratio.

Let's assume that the ratio of oranges, apples, and bananas can be represented by 8x, 5x, and 2x, respectively, where x is a common multiplier.

The sum of the parts in the ratio is 8x + 5x + 2x = 15x.

We know that the total number of fruits is 120. Therefore, we can set up the following equation:

15x = 120

To solve for x, we divide both sides of the equation by 15:

x = 120 / 15

x = 8

Now that we know the value of x, we can find the number of bananas by multiplying it by the corresponding part of the ratio:

Number of bananas = 2x = 2 * 8 = 16

So, there are 16 bananas in total.

We can add all the parts to the ratio and get 15. Out of 15 parts, 2 are bananas. Now we can calculate how many fruits are in one part. One fifteenth of 120 is 8, so there are 8 fruits in one part. 2 parts are bananas, so multiplying 8 with 2 gives us our answer, 16.

The box plot shows the number of years during which 16 schools have participated in a marching band competition: A box plot is titled Years of Participation and labeled Years. Number line from 0 to 10 with primary markings and labels at 0, 5, and 10. The box extends from 3 to 7 on the number line. There is a vertical line at 5. The whiskers end at 1 and 10. At least how many schools have participated for 3 to 7 years? (4 points) 3 schools 5 schools 7 schools 8 schools

Answers

the answer to the problem is 4                                                  

Answer:

4

Step-by-step explanation:

What additional information is needed to prove that the triangles are congruent using the AAS congruence theorem? LO ≅ LM OA ≅ MA AngleLOA ≅ AngleLMA AngleLAO ≅ AngleLAM

Answers

Answer:

∠LOA≅∠LMA

Step-by-step explanation:

The first two options are incorrect because you need one more set of congruent ANGLES, not SIDES. The last option would prove congruency, but through ASA, not AAS. So it would be the third option.

For both triangles to be congruent by the AAS congruence theorem, the additional information needed is: C. ∠LOA ≅ ∠LMA.

What is the AAS Congruence Theorem?

The AAS congruence theorem states that two triangles are proven to be congruent when they have two pairs of corresponding congruent angles and a pair of non-included sides that are congruent.

From the diagram given, we already known that:

LA ≅ LA [congruent side]

∠OLA ≅ ∠MLA [one pair of congruent angles]

Therefore, an additional information that would make both triangles congruent by the AAS congruence theorem is: C. ∠LOA ≅ ∠LMA.

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What additional information is needed to prove that the triangles are congruent using the AAS congruence

In which diagram are <1 and <2 supplementary?

In which diagram are &lt;1 and &lt;2 supplementary?

Answers

Answer:

D. because they equal 180 degrees

hope this helps

have a good day :)

Step-by-step explanation:

D hoped that’s the right answer

Pls explain to me how to find the value of x.

Pls explain to me how to find the value of x.

Answers

Here are the pictures of the steps I took when solving it as well as the answer to what X is

Pls explain to me how to find the value of x.
Pls explain to me how to find the value of x.

4.5 multiplied by x = 81. what represents x?

Answers

18 because its 81. divided by 4.5 which is 18
18x4.5 = 81
18 represents x
10x4.5=45
8x4.5=36
45+36=81
Answer is 18

Robin wants to buy a membership at a carwash this summer so that she can keep her car clean. She compared deals from Speedy Clean Carwash and Sudsy Bubbles Carwash to decide which membership to get. Robin arranged the information in the tables below.
How many times will Robin need to wash her car to spend the same amount at both carwashes?
P.S.: I attached the table below:)

Robin wants to buy a membership at a carwash this summer so that she can keep her car clean. She compared

Answers

Robin will need to wash her car 4 times to have spent the same amount at both car washes. I hope this helps!
Robin wants to buy a membership at a carwash this summer so that she can keep her car clean. She compared
It will be 35 dollars

Caleb observed the costumes that people wore to a costume party. The themes of the costumes and the number of people who wore them are shown in the following table.


Costume Theme Superhero Decades Scary TV & Movie Characters Animals Career
Number of People 128 96 72 52 24 28


A circle graph was drawn from the data in the table. What percentage would be on the Superhero slice of the circle graph?

A. 35.6%
B. 32%
C. 115.2%
D. 128%

Answers

Answer:

b

Step-by-step explanation:

It has the best ratio

The percentage on the Superhero slice of the circle graph is 35.6%. Therefore, the option A is the correct answer.

What is circle graph?

Circle graphs also known as pie charts are one of the most commonly used graphs to represent data using the attributes of circles, spheres, and angular data to represent real-world information. It is used to visualize information and data.

From the given table, we have

Number of people with Superhero costume = 128

Now, 128/360 ×100

= 1280/36

= 35.6%

Therefore, the option A is the correct answer.

Learn more about the circle graph here:

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5/10+8/100
I NEED HELP PLSSSS

Answers

Answer:

1 58/100 or 1 29/50 (simplified)

Step-by-step explanation:

you can turn them into decimals

5/10 = 0.5

8/100 = 0.08

0.5 + 0.08 = 0.58

0.58 = 58/100 = 29/50

PLEASE I REALLY NEED HELP IT'S DUE SOON AND IM VERY CONFUSED!!!!

PLEASE I REALLY NEED HELP IT'S DUE SOON AND IM VERY CONFUSED!!!!

Answers

Answer:

D

Step-by-step explanation:

if im correct the answer is D

Answer:

C

Step-by-step explanation:

Snow is falling steadily in Syracuse, New York. After 2 hours, 4 inches of snow has fallen.

Complete the table and answer the questions.

Time (hours) Snow (Inches)
2/2
1
1
2
2 4
6.5
x

Answers

Answer:

all of the abpve

Step-by-step explanation:

All of the above, I hope this helps you

Select all shapes below that are nets of a pentagonal-based pyramid.

Select all shapes below that are nets of a pentagonal-based pyramid.

Answers

The answer to this one is D.

Answer:

A and B

Step-by-step explanation:

I took some paper and cut it to the shapes and folded them to see which ones are the answer and got those 2. :3

Which is the equation of the line that contains points (8, 10) and (–4, 2)?

Which is the equation of the line that contains points (8, 10) and (4, 2)?

Answers

Answer:

last one

Step-by-step explanation:

i use desmos pls give brainliest

Sam rented a truck for one day. There was a base fee of $17.99, and there was an additional charge of 99 cents for each mile driven. Sam had to pay $162.53 when he returned the truck. For how many miles did he drive the truck?

HELP THIS IS DUE TMR

Answers

This will help to understand: 17.99+0.99x=162.53 (solve for x) subtract 1.
-17.99 -17.99
= 0.99x=144.54 now divide 2.
—— ——-
0.99 0.99
= x=146
Your answer would be 146 miles:)
146
163.53-17.99=?/.99=146miles

CAN YOU PLEASE HURRY UP AND ANSWER!!!!
Four students worked to raise money for a school club.


Student Funds Raised Hours Worked
Patty $325.75 8
Quinn $125.50 3
Reece $74.85 2
Sam $215.25 5

Which student raised the most money in one hour?

Answers

Answer:

Sam raised the most money in one hour

Step-by-step explanation:

Patty: $40.71 an hour

Quinn: $41.83 an hour

Reece: $37.42 an hour

Sam: $43.05 an hour

Brainliest Pls

I think Reece or patty but I am pretty sure it’s Reece

please help me i will give brainliest to first person to anwser.

please help me i will give brainliest to first person to anwser.

Answers

A. 1607.7

First we start with the formula for cylinders v=(pi)r(squared)h filled in Thats v=(3.14)(8 squared) (8) which brings us to the answer 1607.68 but you must round to the nearest tenth aka 1607.7
please help me i will give brainliest to first person to anwser.

Answer:

The first option, V ≈ 1607.7 in²

Step-by-step explanation:

Find the volume of the given cylinder.

\(\begin{center}\framebox{\parbox{4cm}{\textbf{Volume of a Cylinder:}\\[2ex]The volume of a cylinder with radius $r$ and height $h$ is given by the formula:\\[2ex]\center{$V = \pi r^2 h$} \\ \\}}\end{center}\)

Given:

r = 8 in

h = 8 in

π = 3.14

Find:

V = ?? in³

\(\hrulefill\)

Now solving,

Substitute the given values into the formula:

=> V = (3.14)(8)²(8)

Using a calculator to simplify:

=> V = 1607.68 in²

Rounded to the nearest tenth:

∴ V ≈ 1607.7 in²

Thus, the first option is correct.

Drag < or > to complete each equation. Use the number lines as needed.

PLSSS HELP MEEE AND PLEASE BE SURE OF THE ANSWER my homework is due 11:59 and i only need help with the last one :/

Drag &lt; or &gt; to complete each equation. Use the number lines as needed.PLSSS HELP MEEE AND PLEASE

Answers

Answer:

7/8 + 7/8 > 2

Step-by-step explanation:

7/8 + 7/8 = 14/8 lr 1 6/8 or 1 3/4

What did one Poppy seed say to the other?

Answers

I’m on a roll!!!!!!!!!!

Number 6: In a football game, the Bobcats scored all touchdowns, which are worth 7 points each. The Crocodiles scored all field goals, which are worth 3 points each. Neither team went scoreless. The final score of the game was the lowest tie possible given these conditions. How many points did each team score?



number 6 and number 7 are not together


Number 7: Multiplying a number by its reciprocal always results in a product of 1. What number must be multiplied by 3 23 to create a product of 1?

Answers

Answer: 0.1304

Step-by-step explanation:

Answer: 21points
Step-by-step explanation: 3 times 7 equals 21

There are two spinners containing only blue and green slices.
Spinner A has 4 green slices and 16 blue slices.
All the slices are the same size.
Spinner B has 9 green slices and 3 blue slices.
All the slices are the same size.

Each spinner is spun.
List these events from least likely to most likely.
Event 1: Spinner B lands on a blue slice.
Event 2: Spinner B lands on a green or blue slice.
Event 3: Spinner A lands on a yellow slice.
Event 4: Spinner A lands on a green slice.

There are two spinners containing only blue and green slices.Spinner A has 4 green slices and 16 blue

Answers

Answer:

Step-by-step explanation:

2,1,4,3
explanation
event 2 has to happen because there are no other colors.
event 1 will likely come next because there are more blue slices than green slices.
event 4 will come best because it is less likely for it to land on a green slice than a blue slice
event 3 can never happen because there are no yellow slices
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