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.
Help me please il give 20 points!
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:
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
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?
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
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.
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.
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.
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
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!
The function for the points are y = -15x - 5
How to determine the functionFrom 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 pointsUsing (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
Answer: Its D
Step-by-step explanation:
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
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
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
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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In which diagram are <1 and <2 supplementary?
Answer:
D. because they equal 180 degrees
hope this helps
have a good day :)
Step-by-step explanation:
Pls explain to me how to find the value of x.
Here are the pictures of the steps I took when solving it as well as the answer to what X is
4.5 multiplied by x = 81. what represents x?
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:)
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%
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.
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5/10+8/100
I NEED HELP PLSSSS
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!!!!
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
Answer:
all of the abpve
Step-by-step explanation:
Select all shapes below that are nets of a pentagonal-based pyramid.
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)?
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
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?
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
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 :/
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?
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?
Answer: 0.1304
Step-by-step explanation:
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.
Answer:
Step-by-step explanation: