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

3/4x-1 1/2x+7
23
32
46
92

Answers

Answer:

92 is your answer

Step-by-step explanation:

we have

3x/4-1=x/2+7 side of square are equal

3x/4-x/2=7+1

(3x-2x)/4=8

x=8×4=32

length =3×32/4 -1=24-1=23

now

perimeter=4×length=4×23=92 units

Answer: The perimeter of the square is 92 units.

Step-by-step explanation:

All four sides of a square are equal. Set the given values 3/4x - 1 and 1/2x + 7 equal to one another. It should like this: 3/4x - 1 = 1/2x+7. The next step is solving for x. We get x = 32 as our answer. See the image of the work below if you are confused. :)  Next, plug in this answer to the original equations: 3/4x-1 and 1/2x+7.

3/4(32) - 1 = 23

1/2(32) + 7 = 23

After basic substitution, we will conclude that each side of the square is 23 units long. To find perimeter use the equation 4s (let s represent sides). 4(23) = 92 units. Hope this was helpful!

Two baseball teams meet in a playoff series at the end of the regular season. Team A won 55 of 81 games played in its home stadium during the regular season, while Team B won 48 of 81 games played in its home stadium. The first two games of the series will be played in Team A's home stadium, the next two games in Team B's home stadium. In the absence of any other information, which expression is equal to the probability that Team A will win the first four games in a row?

Answers

Answer:

Assuming the statistics are independent of the visiting team, then probability of team A winning in home turf is P(A)=55/81, and winning as a visitor of team B is P(B)=(81-48)/81=33/81.

So winning all four games,

P = P(A)*P(A)*P(B)*P(B)

2.

Total volume = 9³ cm³ = 729 cm³.

Side of each of 3 new cubes

= cube root of (729 cm³ /3) cm

= cube root of (243) cm.

3.

Total number of ways to pick 4 balls out of 9

= C(9,4) = 9!/(4!5!)=126

Total number of ways to pick 4 blue balls = C(4,4) = 1

total number of ways to pick 4 red balls

= C(5,4) = 5

Number of ways of not choosing 4 red nor 4 blue = (126 - 1 - 5) = 120

Probability of not choosing 4 balls of the same colour is therefore ...?

Stacy started with 40 dollars in a savings account that earns 5% annually. How much interest will she get in one year

Answers

Answer:

2 dollars

Step-by-step explanation:

5% interest is 1.05

1.05 times 40 equals 42

42-40 equal 2

So 2 dollars

Is (2,21) a solution for y=7x? No Yes​

Answers

Answer:

No

Step-by-step explanation:

y=7x

21=7(2)

21=14

It is not since the values are not equal.

Brainliest? :o

No, the pair of coordinates (2,21) is not a solution for the equation; y=7x

Solution of an equation

According to the question;

The pair of coordinates given is (2,21).

Hence, by testing the coordinates in the equation; y=7x, we have;

21 = 7(2)

21 = 14.

Hence, since the equation above is not true, the pair of coordinates is not a solution of the equation.

Read more on solution of an equation;

https://brainly.com/question/1397278

Find the area of the figure shown below and type your result in the empty box.


Answers

Answer:

did u forget to add the actual question

Step-by-step explanation:

can someone confirm that i did it right i’m so confused

Answers

You are absolutely correct

Correcttttttt✅✅✅✅✅✅✅✅✅✅✅

Find the value of x in the triangle shown below.
56°
31
x

Answers

X=93
All angles in a triangle equal 180...56+31=87
180-87=93

Please help
Nday(t)=300⋅(1.2)t

Complete the following sentence about the weekly rate of change in the locust population.

Round your answer to two decimal places.

Every week, the number of locusts grows by a factor of ______

Answers

Answer:

3.58

Step-by-step explanation:

Harvey has $390 in a savings account that earns 6% simple interest each year. How much interest will Harvey earn in 2 years, assuming she does not add or take out any money? How much total money is in the account at the end of two years?

Answers

Answer:

She will earn $46.8 of interest. $436.8 is in her account total after the two years

Step-by-step explanation:

You would find out how much 6% of $390 is which would be $23.4 and then you would find out how much it would be after two years so you would $23.4 times two which is $46.8 so the interest would be $46.8. Then you would add the interest to the $390 that was put into the savings so you would do $390 + $46.8 = $436.8

2x-y=8
x+2y=4

for the system of equation above, what is the value of x+y?​

Answers

2x+10y I thinks that’s the answer mb

Answer:

4

Step-by-step explanation:

2x-y=8 ---> y= 8-2x

substitute y=8-2x into x+2y=4

x + 2(8 - 2x) = 4

x + 16 - 4x = 4

-3x = -12

x = -12/-3

x = 4

substitute x=y into y=8-2x

y = 8 - 2(4)

y = 8 - 8

y = 0

therefore,

x+y= 4+0

4

btw i like ur jimin pfp besty :)

HELP ME PLEASE!!!!!!

Answers

The correct answer is letter C

Mike took an uber from his home to the airport. The driver charges an initial fee of $6 and $3 per mile. The total fare was $24 not including the tip. How many miles did Mike travel by uber on this ride? *

Answers

Answer:

About 5 miles

Step-by-step explanation:

At first, I thought it would be 6 miles because 6x3 is 18 plus the initial 6 dollars which is 24. However, it says that it does not include the tip, which means that Mike DID tip the driver. So there has to be some space for the tip. If it was 6 miles it would be 24 dollars, but there is no more space for the tip. So it has to be 5 miles, because that will be 21 dollars, and assuming the tip could be about 3 dollars, then that would total up to 24 dollars.

Factor completely 2x^3 + 6x^2 + 10x + 30

Answers

Answer:

The factored expression is 2(x² + 5)(x + 3).

Step-by-step explanation:

Hey there!

We can use a factoring technique referred to as "grouping" to solve this problem.

Grouping is used for polynomials with four terms as a quick and easy factoring method to remove the GCF and get down to the initial terms that create the expression/function.

Grouping works in the following matter:

Given equation: ax³ + bx² + cx + dGroup a & b, c & d: (ax³ + bx²) + (cx + d)Pull GCFs and factors

Let's apply these steps to the given equation.

Given equation: 2x³ + 6x² + 10x + 30Group a & b, c & d: (2x³ + 6x²) + (10x + 30)Pull GCFs and factors: 2x²(x + 3) + 10(x + 3)

As you'll see, we have a common term with both sides of the expression. This term, (x + 3), is a valuable asset to the factoring process. This is one of the factors for our expression.

Now, we use our GCFs to create another factor.

List GCFs: 2x², 10Create a term: (2x² + 10)

Finally, we'll need to simplify this one by taking another GCF, 2.

Pull GCF: 2(x² + 5)

Now that we have this term, we need to understand that this could also be factored further using imaginary numbers, but it is also acceptable to leave it in this form.

Therefore, we have our final factors: 2(x² + 5) and (x + 3).

However, when we factor, we place all of our terms together. This leaves us with the final answer: 2(x² + 5)(x + 3).

please help ASAP will give brainleast to correct answer plus thank you!

Answers

Answer:

B

Step-by-step explanation:

Answer:

B. 0.8(9+w)

Step-by-step explanation:

By combining like terms you will get an equation of 7.2 + 0.8w. I noticed this could be simplified further by grouping and got answer B.

Marking brainliest.

Answers

Answer:

B. 173.25 cm^2

Step-by-step explanation:

just multiply them all.

Will give brainliest please helppp!!!

Answers

Answer:

9^28

Step-by-step explanation:

It's 9^ 28

remember when we are raising exponents to a power we are multiplying the exponent

Answer:

B

Step-by-step explanation:

When a number to a power of something is multiplied to another exponent, you multiply the exponent values. 7* 4 = 28

Given that (-6,-6) is on the graph of f(x), find the corresponding point for the function f(2x).​

Answers

Answer: (-3,-6)

Step-by-step explanation:

help me pls, i’ll mark brain list.

Answers

Answer:

1.43 minutes to get same height

Step-by-step explanation:

Equation

180 - 8x = 160 + 6x

14x = 20

x = 1.43 minutes

3x + 12 = -3 What is the value of X

Answers

Answer:

x = -5

Step-by-step explanation:

i took algebra a couple years ago :)

Answer:

x=-5

Step-by-step explanation:

3x+12= -3

   -12    -12

(subtract 12 from both sides because you want the variable by itself)

3x= -15

(divide by 3 so you can get x completely by itself)

x= -5 (final answer)

Please help with graphing please

Answers

The solution is (3,4). It’s where the lines intersect

A motorist takes 80 minutes to travel 120km. find his speed

Answers

Answer: 90km/hour

Step-by-step explanation:

The formula for speed is given as:

= Distance / Time

where,

Distance = 120km

Time = 80 minutes = 80/60 = 1 1/3 hours

Speed = Distance / Time

= 120 / 1 1/3

= 120 / 4/3

= 120 × 3/4

= 90km/hour

The speed is 90km/hour.

how can you determine if two triangle angles are similar using their angle measurements???? In ur own words !!

Please help

Answers

Answer:

If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.

Step-by-step explanation:

hope this helps:0

can you solve this !!

[tex] \sqrt{62 \times 31 \times 2} [/tex]

Answers

Answer:

62

Step-by-step explanation:

Step-by-step explanation:

hope it is helpful to you

Please help!
Task is simplify expressions.
This is direct image from teacher.

Answers

Okay so the squared sign I’ll put as the 2 next to an x just to let you know
1.5x2+16x+4
2.2x2-2x-8

1) Matthew can run of a mile in of an hour. What is the unit rate?

Answers

Brrnrb ururrururjbbrejejrjrjjrjrjjrjr rjjrjrjrjr

What is the range of the graph and please answer fast

Answers

Take the largest number and the smallest number which the largest is 16 and the smallest is 8 and subtract them 16-8 and you get 8 so it is 8!

find x to the nearest 10th help pls​

Answers

Answer:

5.9

Step-by-step explanation:

Please find the missing angle of this Shape.

Answers

The answer is x= 60 degrees

A circular plate has circumference 33.3 inches. What is the area of this​ plate? PLZ HELP

Answers

Answer:

870.48

Step-by-step explanation:

Answer:

870.92

Step-by-step explanation:

please tell me which ones to select! I can select more than one. Thank you!!!

Answers

Answer: B, D, E

Step-by-step explanation:

Substitute x in each expression, solve, and see if it is equivalent to 3/4. See answer above. Hope this was helpful! :)

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Ruth develops a blueprint with the help of a triangle. The longest side of the instrument measures 14 inches and one of the sides measures 12 inches. here you go please do it quick with work Susan buys the items listed below at a grocery store. 2 packages of chicken priced at $12.36 per package1 half-pound of broccoli priced at $1.98 per pound1 gallon of milk priced at $3.49 per gallonThere is no sales tax on the food she buys. Susan pays for the item and receives $0.80 in change. What amount of money does Susan use to pay for the items? 20 points I will give you brainliest if you answer in 5 mins How is an image formed by a plane mirror?A) Light bounces off of the mirror and then appears to come from in front of the mirror.B) Light passes through the mirror and then appears to come from behind the mirror.C) Light passes through the mirror and then appears to come from in front of the mirror.D) Light bounces off of the mirror and then appears to come from behind the mirror. The questions are in the pictures:) A scuba diver descended 20 1/5 feet below sea level. Then, he descended another 3/ 1/5 feet. Which of the following is true about the scuba diver after both descents? A. The location of the scuba diver in relation to sea level was feet. B. The location of the scuba diver in relation to sea level was feet. C. The location of the scuba diver in relation to sea level was feet. D. The location of the scuba diver in relation to sea level was feet. 4561515315615615612531253 The Roman army became privatized because the soldiers were loyal to the __________ instead of the __________.A.Senate . . . consulsB.general . . . SenateC.plebs . . . patriciansD.dictator . . . Senate Use slopes and y-intercepts to determine if the lines 6x+y=1 and 2x5y=1 are parallel. ILL GIVE BRAINLIEST TO CORRECT ANSWERBeing able to see old portrait paintings shows us how people and cultures have evolved over time.Group of answer choicesTrueFalse What is the value of x?Enter your answer in the box.x =? 9 is what percent of 45? The diagonals of a rectangle are parallel? true or false helpp me plzzz Stress can feel like pressure in your body that doesnt seem to go away, and it can be triggered by social life, studies, family issues, or troubling everyday problems.A. TrueB. False Dan bought 6 new baseball trading cards to add to his collection. The next day, his dog ate half of his collection. There are now only 28 cards left. How many cards did Dan start with? Giving brainliest! Find the distance between the two numbers. Write your answer as a decimal.2.2, 8.4 Which statement best summarizes the central idea of the paragraph? A prince can hold a newly acquired state that is accustomed to freedom only by first ruining it, then moving there and establishing an oligarchy that is loyal to him. There are three ways for a prince to hold a newly acquired state that is accustomed to freedom: ruin it, live there, or create an oligarchy that is loyal to himand the third way is easiest. A prince can hold a newly acquired state that is accustomed to freedom only by first ruining it, then moving there and winning the citizens loyalty by granting them freedom. There are three ways for a prince to hold a newly acquired state that is accustomed to freedom: ruin it, live there, or create an oligarchy that is loyal to him, all of which are equally effective. Answer the following questions: What is the purpose/function of the Respiratory System? What is the purpose of the tiny hairs called cilia in your nose? What are the purposes of the pharynx? What is the purpose of the epiglottis? How is the respiratory system linked to the cardiovascular system In the presidential campaign of 1860, politicians and editors across the South associated the ___ Party with abolitionist John Brown, and warned that this party's victory would mean disunion.a) Know-nothingb) republicanPLEASE DONT BE ONE OF THOSE LINK PEOPLE ITS NOT NICE!!!HAVE A GREAT DAY!!! :) I need a myth..any myth please and thanks! also make it short