1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
aev [14]
3 years ago
10

n a nature conservatory, the ratio of butterflies to total number of flying insects is 36 to 100. There are 450 total flying ins

ects. (a) Create a table for how many butterflies there are for 1, 50, and 100 flying insects. Show your work. (b) How many butterflies are in the conservatory? Show your work.
Mathematics
1 answer:
Elena-2011 [213]3 years ago
5 0

Answer:

There are 172 butterflies  in the conservatory.

Step-by-step explanation:

Given

ratio of butterflies to total number of flying insects is 36 to 100

total number of butterflies / total number of flying insects = 36 / 100 = 9/25

Create a table for how many butterflies there are for 1, 50, and 100 flying insects.

Let the number of butter flies be x

when total no. of insects = 1

total number of butterflies / total number of flying insects  =9/25=x/1

=> 9/25= x/1

=> x = 9/25

____________________________________

when total no. of insects = 50

total number of butterflies / total number of flying insects  =9/25=x/50

=> 9/25= x/50

=> x = 9/25 * 50 = 18

_______________________________________

when total no. of insects = 100

total number of butterflies / total number of flying insects  =9/25=x/100

=> 9/25= x/100

=> x = 9/25 * 100= 36

Thus, table is

butterfly    total no of insects

   9/25            1

     50             18

     100            36

______________________________________________

Given there There are 450 total flying insects in the conservatory

again using the same ratio and taking no. of butterflies as x

total number of butterflies / total number of flying insects  =9/25=x/450

9/25=x/450

=>x = 9/25 * 450 = 9*18 = 172

Thus, there are 172 butterflies  in the conservatory.

You might be interested in
Which is greatest 8/10, 9/10 or 3/4?
pogonyaev
9/10 is the greatest of the three. 
3 0
3 years ago
Read 2 more answers
PLZ I need Help the Question is: 5+13·18+85÷17−11
dsp73

Answer:

233

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What is the value of the 30th percentile for the data set? 6283 5700 6381 6274 5700 5896 5972 6075 5993 5581 5972 6274 6075 5896
Alex17521 [72]
<h2>Answer:</h2>

5896

<h2>Step-by-step explanation:</h2>

Given data set:

6283 5700 6381 6274 5700 5896 5972 6075 5993 5581 5972 6274 6075 5896

To calculate the 30th percentile;

<em>i. Rearrange the given data set in ascending order.</em>

5581 5700 5700 5896 5896 5972 5972 5993 6075 6075 6274 6274 6283 6381

<em>ii. Use the following formula to get the index of the value at the 30th percentile.</em>

N = p(n)

<em>Where;</em>

N = the number of data points at or below the intended percentile.

p = the intended percentile.

n = the number of points in the data.

<em>In this case;</em>

p = 30 percent = 0.3

n = 14

<em>Substitute these values into the equation;</em>

N = 0.3(14)

N = 4.2

<em>iii. From the calculated index, find the value of the 30th percentile.</em>

If the index is a whole number x, the desired percentile is the average of the values at index x and x+1.

For example if the index is 4, then the desired percentile is the average of the values at index 4 and 5. In our case, that will be;

\frac{5896+5896}{2} = 5896

If the index is a decimal number, it is rounded up to the nearest integer. The value at the rounded index is the desired percentile.

For example, in our case, the index is 4.2 which when rounded up becomes 4.

Therefore, the data point or value at index 4 is the 30th percentile. From the arrangement in (ii) above, that will be 5896. i.e

5581 5700 5700 <u>5896</u> 5896 5972 5972 5993 6075 6075 6274 6274 6283 6381

8 0
3 years ago
An animal shelter spends $1.50 per day to care for each cat and $3.50 per day to care for each dog. Gianna noticed that the shel
horrorfan [7]

Answer:

2 cats were cared for

Step-by-step explanation:

c= cats

d=dogs

c+d =7

1.5c+3.5d=20.50

c+d =7

solve for d

d = 7-c

substitute into 1.5c+3.5d=20.50

1.5 c + 3.5 (7-c) = 20.50

distribute

1.5c +24.5 -3.5 c = 20.5

combine like terms

24.5 -2c =20.5

subtract 24.5 from each side

-2c = -4

divide by -2

c =2


7 0
3 years ago
Factor. 2x2−3x−5 (2x+5)(x−1) (x−5)(2x+1) (2x−5)(x−1) (2x−5)(x+1)
Likurg_2 [28]

Answer:

0

Step-by-step explanation

  1. You do the brackets first
  2. The answer to the brackets is : 0
  3. Because you also times the others by 0 the answer must be 0.
7 0
3 years ago
Read 2 more answers
Other questions:
  • Correct Answers only!
    11·1 answer
  • Janelle has $425.82 in her checking account. Exactly how much does she have in her account after she makes a deposit of $120.75
    13·1 answer
  • As you're heading out for a rousing evening of playing Dungeons and Dragons, you grab your pouch of dice. Unfortunately, the dra
    9·1 answer
  • What is the greatest negative integer?
    12·2 answers
  • The function F(x)=log0.75^x is decreasing. True or false
    6·1 answer
  • What is the perimeter of semicircle with radius of 3cm
    10·2 answers
  • Are the following rates equivalent<br> 12 pages in 20 minutes<br> 20 pages in 32 minutes
    11·2 answers
  • A Bag contains 3 green marbles, 7 white marbles, and red marbles (and no other marbles). One marble is chosen without
    5·2 answers
  • COULD A KIND SOUL PLEASE PLEASE PLEASE HELP ME???!!!!!!!!!!!
    6·1 answer
  • The area of the triangle is
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!