A biologist was sitting near a pond and noticed a large number of dragonflies. He also saw both frogs and fish trying to eat the
dragonflies. He counted a total of 89 fish, frogs, and dragonflies. He noticed that there were four times as many dragonflies as fish and
that the frogs were five more than twice the number of fish

Answers

Answer 1

89 /3

frogs = 29.6

fish =  29.6

dragonflies =  29.6

all of them equal 89

Answer 2
Guessing you need to know how many of each animal there are

a = fish = 12
b = frog = 29
c = dragonflies = 48

a + b + c = 89

c = 4a (four times as many dragonflies as fish)
b = 2a + 5 (frogs were five more than twice the number of fish)

Then substitute for b and c in the big equation:

a + (2a + 5) + 4a = 89
Combine like terms:
7a + 5 = 89
Subtract 5 from both sides:
7a = 84
Divide both sides by 7:
a = 12

Now use this to solve for b and c

c = 4(12) = 48

b = 2(12) + 5 = 24 + 5 = 29

Please let me know if you have any questions.

Related Questions

LLEASE PLEASE I NEED HELP!!! I’ll mark brainliest

Answers

Answer:

It would be the first answer

Step-by-step explanation:

At the bottom of each graph is the starting point and you can see the red graph starts at 0 where the other does not

Answer:

The graphs make it appear that Cool Cars' prices are much greater, but they are only a little bit greater.

Step-by-step explanation:

hope this helps and is right. p.s. i really need brainliest :)

if this is wrong, then i am incredibly sorry!

no link! Just pls answer

Answers

✧・゚: *✧・゚:*  Answer:  *:・゚✧*:・゚✧

✅ A. 120cm ^3

I WOULD APPRICIATE BRAINLIEST!

~ ₕₒₚₑ ₜₕᵢₛ ₕₑₗₚₛ! :₎ ♡

~

Answer:

3769.91

PS: it is probably wrong!

HELPP! E(f + g) =




Help

Answers

What! You need more information if you want people to help you.

CAN SOMEONE PLEASE PLEASE PLEASE HELP ME WITH THIS, IT'S URGENT!!!

Answers

Answer:39

Step-by-step explanation:

Yrust me bro

What is the area of the shaded region in the given circle in terms of pi and in simplest form?

A) (120pi + 6 sqrt 3) m^2

B) (96pi + 36 sqrt 3) m^2

C) (120pi + 36 sqrt 3) m^2

D) (96pi + 6 sqrt 3) m^2

Answers

Answer:(120pi +6 square root 3) msquared

Step-by-step explanation:

Use the distributive property to expand (simplify): 5(12mu - 7v)

Answers

Answer:

60mu - 35v

Step-by-step explanation:

You disturbute 5 into the 12 and add mu and your answer and distribute 5 into the 7 and keep the v with your answer.

Hopes this works.

[tex]\textsf{Hi Brainy User, I'm Here to Help you!}[/tex]

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

[tex]\textsf{The \textbf{distributive property} states the following:}[/tex]

[tex].\qquad\bullet\sf{a(b+c)=ab+ac}[/tex]

[tex]\textsf{So we take a number or a variable \textbf{a} and distribute it by multiplying it times b and c}[/tex]

[tex]\textsf{Now we simplify.}[/tex]

[tex]\textsf{5(12mu-7v)=5*12mu-5*7v=60mu-35v}[/tex]

[tex]\Large\textsf{\textbf{Answer: 60mu-35v}}[/tex]

[tex]\Large\overbrace{\underbrace{\boldsymbol{Reflection - RoSe}}}^\star_\star[/tex]

What is the image of (−7,−8) after a dilation by a scale factor of 44 centered at the origin?

Answers

Answer:

(-308, -352)

Step-by-step explanation:

For a dilation from the origin, you multiply the x and y by the scale factor.

-7 * 44 = -308

-8 * 44 = -352

(-308, -352)

Guys I need help plss

Answers

Answer:

square root of 34

Step-by-step explanation:

You're the magnitude or the norm of the vector AB so you will square the X and Y components and then add them and put them in a square root

so

5 squared is 25

(-3) squared is 9

25+9 is 34

so the answer is the square root of 34

two consecutive numbers if the smallest is 11

Answers

Let two consecutive numbers are : x,x+1

Sum of these numbers is -11, then

x+x+1=−11

⇒2x=−11−1=−12

⇒x=−6

and other consecutive number is x+1=−6+1=−5

The answer is -6 and −5

I know the answer already but can someone explain it please
2187= 3^x
Answer is x=7

Answers

Answer:

3^x = 2187 is equivalent to log 3 (2187) = x.  (the three is the small number that goes lower next to the g). Then, use a calculator to do log(2187) / log(3)

Step-by-step explanation:

WHAT IS THE MEDIAN I WILL GIVE BRAINIEST

Answers

Answer:

5 is the median

Step-by-step explanation:

By crossing out the points on each side one by one, you could find that 5 is the median.

I believe the answer would be 5 not a 100% sure though

Joe is wrapping a birthday present in a box that is 21 inches long, 14.5 inches wide, and 9 inches high. All sides of the box must be covered. What is the surface area that must be covered by wrapping paper? *

Answers

Answer:

2740.5

Step-by-step explanation:

This is what I got why I did was multipley them

Answer:

2740.5

Step-by-step explanation:

This is what I got when I multipled

Can someone please help me with this math problem:):)

Answers

Answer:

i dont understand

Step-by-step explanation:

 

Simplify the mathematical expression below. ​

Answers

Answer:

Step-by-step explanation:

what is the probability of that event's complement?
Pinot landing on heads
a) 1/2
b) 2/1
C 1/1
d) 1/4

Answers

A 1/2 is the answer

Find an equation of the circle that has center (-6, 6) and passes through (3,-4)​

Answers

Answer:

(x+6)² + (y-6)² = 181

Step-by-step explanation:

equation of the circle in general is (x - a)² + (y - b)² = r²

center is (a, b) in our task a=-6 b=6

so equation of the circle is (x+6)² + (y-6)² = r²

we have point  (3,-4)​ ⇒ x=3 y=-4

put x y in equation of the circle ⇒  (3+6)² + (-4-6)² = r² ⇒r² =181

⇒The equation of a circle is (x+6)² + (y-6)² = 181

Answer:

x²+ y² - 109 = 0

Step-by-step explanation:

The coordinate of centre of circle = (-6 , 6)

Point through which it passes = (3 , -4)

So , Firstly find the distance between the centre and that point that will be equal to the radius . Using Distance Formula we have ,

⇒ D = √ [ ( x - x' )² + ( y + y')² ]

⇒ D = √ [ (3+6)² + (6+4)² ]

⇒ D = √ [ 9² + 10² ]

⇒ D = √ [ 81 + 100 ]

⇒ D = √ 181

D = 13.45 .

Now substituting the respective values in the general equation of circle .

⇒ ( x - h)² + (y - k)² = r²

Where (h,k) is the centre and r is the radius.

⇒ { x - (-6) }² + { y - (6) }² = (13.45)²

⇒ ( x + 6 )² + ( y - 6)² = 13.45²

⇒ x² + 36 + 12x + y² + 36 -12x = 181

⇒ x² + y² + 72 = 181

⇒ x² + y² + 72 - 181 = 0

+ - 109 = 0

Therefore the equation of the circle is + - 109 = 0 .

I need help also, how do I choose the brainiest? and how do I also give people gems?

Answers

Answer:

x=9

Step-by-step explanation:

Answer:

uhh x=9

Step-by-step explanation:

you choose brainliest by pressing a button that looks like a crown below somones answer that will give them extra points. and i have never heard of gems in brainly.

Are the triangles shown below similar to one another?

Answers

Answer:

yes

Step-by-step explanation:

...............................

What are the steps to solving this?

Answers

Answer:

m = 6[tex]\sqrt{3}[/tex] , n = 6

Step-by-step explanation:

Using the sine and cosine ratios in the right triangle and exact values

cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , sin30° = [tex]\frac{1}{2}[/tex] , then

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{m}{12}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2m = 12[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

m = 6[tex]\sqrt{3}[/tex]

and

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{n}{12}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2n = 12 ( divide both sides by 2 )

n = 6

0=pi/4 radians identify the terminal point and tan 0.

a. terminal point (2square/2,2square/2); tan0=1

b.terminal point (square3/2,1/2);tan0=square3/3

c.terminal point (2square/2,square2/2);tan0=1/2

d.terminal point (1/2,3square/2);tan=3square

Answers

Answer:A

Step-by-step explanation: I did the quiz

The terminal point of the 0=pi/4 is (2/√2 and 2/√2) and the value of tan0  is 1.

What is a terminal point?

The terminal point of a circle or circular path is the measure of the angle in degrees or radians over the circle, at the endpoint on the coordinate plane.

The equation for the angle is given as,

[tex]\theta=\dfrac{\pi}{4}\rm radians[/tex]

The terminal point and tan 0 has to be found out.As, the value of pi is 180 degrees. Put this value in the above expression as,

[tex]\dfrac{\pi}{4}=\dfrac{180}{4}=45^o[/tex]

Now, as the rotation of it clockwise from the x-axis in quadrant 1to get the degrees of the angle to the terminal point.

Let this is unit circle with radius 1. Therefore, from the unit circle attached below,

[tex]y=\sin(45)\times1=\dfrac{2}{\sqrt{2}}\\x=\cos(45)\times1=\dfrac{2}{\sqrt{2}}[/tex]

[tex]\tan (45)=1[/tex]

Hence, the terminal point of the 0=pi/4 is (2/√2 and 2/√2) and the value of tan0  is 1.

Learn more about the terminal point here;

https://brainly.com/question/4256586

One endpoint of a line segment has coordinates represented by (x + 2, 3y). The midpoint of the line segment is (6, -3). How are the coordinates of the other endpoint expressed in terms of x and y? O (10 – r, y) O (10 - 1,-6-y) (12 - 2,6 - 3y) (14 – 1,3 - y) 1 2 3 4 5 Next​

Answers

The answer will going to be B

-7,-5 and 2,-8. find the slope between the two points.

Answers

Answer:

m=-8-(-5)/2-(-7)

m=-3/9

Simply to get m=-1/3

Step-by-step explanation:

A ) 90
B ) 165
C ) 270
D ) 75

Answers

Answer:

165-90=75

item D

Answer:

Step-by-step explanation:

165-90=75

PLEASE HELP! Find the midpoint given (0,11) and (-6,3).

Answers

Answer:

(- 3, 7 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = (0, 11) and (x₂, y₂ ) = (- 6, 3) , then

midpoint = ( [tex]\frac{0-6}{2}[/tex], [tex]\frac{11+3}{2}[/tex] ) = ( [tex]\frac{-6}{2}[/tex], [tex]\frac{14}{2}[/tex] ) = (- 3, 7 )

Answer:

(-3,7)

hope it helps........

pls show work will give brainliest
Solve the formula for the variable x.

y=mx+b

Answers

Y*b=y*b=mx. Y*b/m=x. By the way * is the multiplication symbol

Write a recursive sequence that represents the sequence defined by the
following explicit formula:
An = 1 - 5(n − 1)

Answers

Answer:

            [tex]a_1=1\\a_n=a_{n-1}-5[/tex]

Step-by-step explanation:

a₁ = 1 - 5(1 - 1) = 1 - 5·0 = 1

a = 1 - 5(2 - 1) = 1 - 5·1 = 1 - 5 = a - 5

a = 1 - 5(3 - 1) = 1 - 5·2 = 1 - 5 - 5 = a - 5

a = 1 - 5(4 - 1)  = 1 - 5·3 = 1 - 5 - 5 - 5 = a - 5

and so on, therefore:

                              aₙ = aₙ₋₁ - 5

pls help, The graph shown below shows the relationship between average heart rate (in beats per minute) of several
mammal species and their life expectancy (in years)

Answers

Answer:

The answer is Nonlinear Association

Hi There Answer Nonlinear Association

Step-by-step explanation:

(WIll mark as brainliest) Which one of these graphs is a function and why and why not?

Answers

answer : Graph B

you’re welcome ! have a great night/day .

A sector of a circle has an arc length of π cm and a central angle of π6 radians. What is the area of the sector?

A. 5π cm²
B. 2π cm²
C. 3π cm²
D. π cm²

Answers

Answer:

C

Step-by-step explanation:

The Area of sector is π cm². so option D is correct.

How to find the area of a sector of a circle?

The sector of a circle is like a slice of a circular pizza.

[tex]A = \dfrac{x \times \pi r^2}{360} \: \rm unit^2 area[/tex]

Mathematically π  radians = 180 degrees

thus, π /6 radians =  180/6 = 30 degrees

The formula for the length of an arc is;

Ф/360 x 2πr

where Ф, is 30 degrees

And the arc length is pi

so we have

30/360 x 2πr = π

30/360 x 2r = 1

60r = 360

r = 360/60

r = 6 cm

Now the area of a sector is;

Ф/360 x πr^2

30/360 x π36

= π cm^2

Learn more about area;

https://brainly.com/question/24218236

#SPJ2

A bag contains 18 balls. There are 6 red balls, 6 yellow balls, and 6 green balls. A ball is drawn at random and returned. Then another ball is drawn at random. Select ALL statements that are true.

A. The expected probability of drawing a green ball first is the same as the expected probability of drawing a green ball second.

B.There are six possible outcomes.

C.The probability of drawing a red ball first is the same as not drawing a red ball second.

D.The expected probability of drawing a red ball and then a yellow ball is 19.

Answers

Answer:

There are 18 balls in the bag:

6 are red

6 are yellow

6 are green.

A ball is drawn at random and then returned.

Then another ball is drawn.

Now, let's analyze each option and let's see if it is true or not.

A) The probability of drawing at random a green ball is equal to the quotient between the number of green balls and the total number of balls.

Then for the first draw, the probability is 6/18

Because the drawn ball is returned, for the second draw we still have 6 green balls and 18 balls in total, then the probability still is 6/18

Statement A is true

B) if we define the notation:

YR

as:

Yellow in the first draw, red in the second draw.

The possible outcomes are:

YR

YG

YY

RR

RG

RY

GR

GG

GY

So we have a total of 9 outcomes, we also can calculate this in the following way:

For the first event (first draw) we have 3 possible outcomes (Y, G, and R)

For the second event (second draw) we have again 3 possible outcomes.

The total number of outcomes is the product between the possible outcomes for each event, this is:

3*3 = 9

Then statement B is false.

C) The probability of drawing a red ball first is:

p = 6/18

The probability of NOT drawing a red ball second, is equal to the probability of drawing a yellow or green ball second (we have 12 balls that are green or yellow, and 18 total balls) then this probability is:

q = 12/18

The probabilities are different, then we can conclude that statement C is false.

fD) The expected probabilty of drawing a red ball and then a yellow ball is the product of the individual probabilities, this is:

prob of drawing a red ball first = 6/18

prob of drawing a yellow ball second = 6/18

Joint probability:

P = (6/18)*(6/18) = (1/3)*(1/3) = 1/9

So statement D is true.  (it says 19, i suppose that there is a mistake in this sentence and it actually should say 1/9)

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Which of the following is correct?There is sufficient evidence to conclude that students at the local university do not select majors in the same proportions as do students in the rest of the state.There is sufficient evidence to conclude that students at the local university do not select majors in the same proportions as do students in the rest of the state.AThere is sufficient evidence to conclude that students at the local university select majors in the same proportions as do students in the rest of the state.There is sufficient evidence to conclude that students at the local university select majors in the same proportions as do students in the rest of the state.BThere is insufficient evidence to conclude that students at the local university do not select majors in the same proportions as do students in the rest of the state.There is insufficient evidence to conclude that students at the local university do not select majors in the same proportions as do students in the rest of the state.CThere is insufficient evidence to conclude that students at the local university select majors in the same proportions as do students in the rest of the state.There is insufficient evidence to conclude that students at the local university select majors in the same proportions as do students in the rest of the state.DStudents at the local university select majors in the same proportions as do students in the rest of the state. What was life like for German Americans before world war 1 A community swimming pool has a deep end and a shallow end. The volume of water in the deep end can be represented by (2x2+12x+10) ft3 and the volume of the water in the shallow end can be represented by (4x2100)ft3.Write the equivalent expression ("simplified") that represents the total volume of the water in the pool in ft3.