Some spiders, dragonflies, and houseflies are kept in three separate enclosures. They have a total of 20 heads, 136 legs, and 19 pairs of wings.
Given that...
a spider has 8 legs and 0 pairs of wings
a dragonfly has 6 legs and 2 pairs of wings
a housefly has 6 legs and 1 pair of wings
Find the number of spiders, the number of dragonflies, and the number of houseflies.

Answers

Answer 1

Answer:

Number of Spiders: 8

Number of Dragonflies: 7

Number of Houseflies: 5

Step-by-step explanation:

s= spider

d= dragonfly

h= housefly

Heads:

20= s+d+h

Legs:

136= 8s+6d+6h

Wings:

19= 0s+2d+1h

Solve with substitution.

Divide the second equation by 2.

136= 8s+6d+6h

68= 3d+3h+4s

Set the last equation in terms of d.

19= 0s+2d+1h

d= [tex]\frac{19}{2} -\frac{1}{2}h[/tex]

Substitute what we just found (d) into the first and our new second equation. Simplify.

20= s+d+h

20= s+[tex]\frac{19}{2} -\frac{1}{2}h[/tex]+h

h+2s=21

68= 3d+3h+4s

68= 3([tex]\frac{19}{2} -\frac{1}{2}h[/tex])+3h+4s

3h+8s=79

Take both simplified equations and solve with elimination. Do this by multiplying the top equation by negative 3.

h+2s=21

3h+8s=79

-3h-6s=-63

3h+8s=79

2s=16

s=8

Plug in s=8 into the other equation.

h+2s=21

h+2(8)=21

h=5

Plug in h=5 into the last equation we rewritten.

[tex]d= \frac{19}{2} -\frac{1}{2} h[/tex]

[tex]d=\frac{19}{2} -\frac{1}{2}(5)[/tex]

d=7

(d,h,s)= (7,5,8)


Related Questions

12. Hannah wants to buy 4 presents for at least $60. She wants to spend an equal amount of money on each present. Write and solve an inequality to show the least amount of money Hannah will spend on each present​

Answers

Answer: 15

Step-by-step explanation:

So it is pretty much 60/4 which is easy 15 here is the work

1 5

4 6 0

- 4

2 0

- 2 0

0

Answer:

x ≥ $15

Step-by-step explanation:

At least means ≥

4x ≥ $60     Replace the inequality sign with an = sign and solve the equation.

4x = $60

x  = $60 ÷ 4

x = $15                 Now put the inequality sign back into the problem

 x ≥ $15

In the given figure ef is a straight line, find the value of x

Answers

The image is not clear.

Which of the following graph shows one,non or infinite solution

Answers

Answer:

No graphs????????????

Step-by-step explanation:

How would I graph this?: 3x + 9y = −18

Answers

Answer:

take value of x as 0 so

9y=-18 y =-18/9

y=-2

(0,-2)

same take y equal 0

before dividing 0.0045 divided by 9 what will the dividends become after the decimals is moved

Answers

Answer:

wsjkolp

Step-by-step explanation:

qwdcdfvhbjnkml,;.

divide $70 into the ratio of 2:7: 1​

Answers

Answer:

$14:$49:$7

Step-by-step explanation:

To solve this question you first add the ratios.

So 2+7+1, which is 10. You then take this number and divide it by 70 to find 1 part. 70 divide by 10 is 7, which represents 1 part.

7 times by 2 is 14, 7 times by 7 is 49 and 7 times by 1 is 7.

Thus you get the ratio, $14:$49:$7.

And if you add 14+49+7, you get 70!

The! width! of! a! rectangular! box! is!2cm!less! than! its! length.! The! height! of! the! box!is!8cm.!Which

Answers

Answer:

Step-by-step explanation:

What is the value of the expression
1/4 (16 + 9)-h

when g = 4 and n = 2?
o
B)
5
OC) 3
D) 5

Answers

1/4(16+9)-2

1/4(20)-2

5-2

3

Which of the following lines have a y intercept of (0,2)? Choose all that apply
a. 3x - 7y = -14 b. y - 4 = -1/4 (x+4) c. y + 5 = 3 (x+2) d. y = -7x + 2

Answers

Answer:

A and D

Step-by-step explanation:

a.

3x - 7y = -14

-7y = -3x -14

y = 3/7x + 2

b.

y - 4 = -1/4 (x + 4)

y - 4 = -1/4x -1

y = -1/4x + 3

c.

y + 5 = 3 (x + 2)

y + 5 = 3x + 6

y = 3x + 1

d.

y = -7x + 2

I need the answers to the ones with an x by them please and thank you guys I really need this It’s home work

Answers

Answer:

Sorry I took so long, I hope I helped though

3) 2.428

5) 5.414

6) 8.29

10) 3.34

11) 42.35

12) 24.276

14) 6.777

17) 17

18) 19

19) 50.6

20) 17

26) basically add them all, I got the answer 1

27) 0.29+0.24 is 0.53

28) your answer is right, one fourth of 1 is .25, so the answer is 0.15+0.08+0.02

Find y. Simplify completely.
y
16
25
y = [?]VO
=
Enter the number that belongs in the green box,
Enter

Answers

Answer:

19?

Step-by-step explanation:

What is 66% of 350? helpp​

Answers

Answer:

231

Step-by-step explanation:

Answer:

Write 66% as  

66/100

Since, finding the fraction of a number is same as multiplying the fraction with the number, we have

66/100

of 350 =  

66/100× 350

 

Therefore, the answer is 231

If you are using a calculator, simply enter 66÷100×350 which will give you 231 as the answer.

Step-by-step explanation:

can some one help me pleaseeee :(

Answers

a) 5/8

b) 3/5

Hope this helps

quellle expression algébrique représente l'aire totale d'un cude dont chauqe coter messure 1,5x​

Answers

Answer:

sorry bro I don't understand your language

Demarco and Tanya have received information about three separate mortgage offers. In two or three paragraphs, describe your recommendation for the best financial choice in their situation. Evaluate each of the three offers, compare and contrast their effectiveness, and explain the offer that works best. As you explain your answer, support it using reasons and evidence from the calculations you made based on the information provided in this guide for Analyzing Mortgage Options.

Answers

Answer:

Option A would be the best option, as the payment would not change. Option B has a lower payment, but that payment is expected to rise and eventually be a bigger payment. Option C would require them to pay it off in 8 years, which would be too much based on their income and they would end up having to get another mortgage. Option C would be better if they wanted to live their temporarily, but Demarco and Tanya would like to live in their house permanently. This makes option A the best option because it is an affordable payment that will not change.

Step-by-step explanation:

The best option will be option A which will be chosen by Demarco and Tanya.

What is finance?

Finance deals with the study of money, management, creation, and investments. Also, finance is divided into the following board of categories such as personal finance, corporate finance, and public finance.

The best option will be option A which will be chosen by Demarco and Tanya as the payment plan would not change in this situation.

Option B has a lower payment, but the payment is expected to increase with time and eventually be a bigger payment.

Also, option C would require them to pay it off in 8 years but both of them want to live permanently not separately. Therefore, the best option to choose will be option A.

So, The best option will be option A which will be chosen by Demarco and Tanya.

Learn more about finances;

brainly.com/question/9851444

help me please please please

Answers

Answer:(-2, -3)

Step-by-step explanation:

U do it then flip it upside down

What is the slope and y-intercept of the equation 3x + 2y + 18 = 0

Answers

Answer:

Slope: -3/2

Y-Intercept: (0,-9)

Step-by-step explanation:

If PM = 6x + 7 and PN = 12x – 5. Find the length of PL.

Answers

Answer:

Step-by-step explanation:

6x+y=88-6. 4=2x-6. 10=2x. (X=5. 14 pm = PN =PL. 4X+7=12x-5. 7=88-5.

What is an objective summary?


a bulleted list of all the important ideas and events in a text in an order that reveals the theme
a bulleted list of all the important ideas and events in a text in an order that reveals the theme

a shorter version of a text that helps readers decide whether they want to read the text
a shorter version of a text that helps readers decide whether they want to read the text

a version of a text that leaves out all the descriptive details in order to highlight the most important ideas
a version of a text that leaves out all the descriptive details in order to highlight the most important ideas

a shortened version of a text that includes the most important events, ideas, and details without a reader’s opinion
a shortened version of a text that includes the most important events, ideas, and details without a reader’s opinion

Answers

Answer:

A shortened version of a text that includes the most important events, ideas, and details without a reader’s opinion

Step-by-step explanation:

Summaries are used to quickly explains what the text is about. They include key details that express important facts, not opinions.

1) 6 hats cost $67.50
What's the cost per hat?

Answers

Answer:

11.25

Step-by-step explanation:

I divided 67.50 by 6 and it got me the answer 11.25

Sorry, ignore the other question I had on here, that was a typo. How do you find the positive/negative intervals of f(x) = 3/(x + 5) ? Please show in full detail!!

Answers

Answer:

Positive interval: x is in (-5, infty)

Negative interval: x is in (-infty, -5)

Step-by-step explanation:

A fraction is positive when the numerator and denominator have the same sign. Since the numerator is positive in this case, the fraction will be positive when it's denominator is also positive. Thus, we need to solve x+5>0. Subtracting 5 on both sides gives x>-5.

Positive interval: x is in (-5, infty)

A fraction is is negative when the numerator and denominator have the different signs. Since the numerator is positive in this case, the fraction will be negative when it's denominator is negative. Thus, we need to solve x+5<0. Subtracting 5 on both sides gives x<-5.

Negative interval: x is in (-infty, -5)

A fraction doesn't have an output when it's denominator is 0. That is, in this case when x+5=0 which is when x is -5.

Erin buys 2 packs of potatoes costing £2 each, 3 packs of carrots for £3 per pack, and 3 turnips costing 60p each.
If she pays with a £20 note, how much change would she get in pounds, £

Answers

Answer:

  £5.20

Step-by-step explanation:

The change is the difference between the amount tendered and the amount owed. The total amount owed is the sum of the costs for each of the items purchased.

  change = £20 - 2(£2) - 3(£3) -3(£0.60) = £20 -14.80 = £5.20

Erin gets £5.20 in change.

there are 15 pieces of fruit in a bowl and 6 of them are oranges.what is the percenage of fruits are in oranges

Answers

Hi there!

We can find the percentage by expressing the amount of oranges to total fruits as a fraction:

[tex]\text{ oranges to total fruit} = \frac{\text{x Oranges}}{\text{ y total pieces of fruit}}[/tex]

Plug in the given values:

[tex]\text{ oranges : total fruit} = \frac{\text{6}}{\text{15}} = 0.4[/tex]

Convert to a percentage by multiplying by 100:

0.4 × 100 = 40%.

[tex]\boxed{\text{40\% of total pieces of fruit are oranges}}[/tex]



Please help meee

Complete each statement. Explain why

it is true.

Answers

Answer:

It is true because it is true.

Step-by-step explanation:

Why else would it be false?

There are 8 math classes in 7th grade. Seven are equally sized and the 8th class has 32 students. If there are a total of 221 in the 7th grade, how many are in each of the equally sized bath class?

Answers

Answer:

27

Step-by-step explanation:

221-32=189189/7=27

What is the slope of the line in the graph?

Answers

Answer:

1

Step-by-step explanation:

Pick two points on the line

(0,1) and (1,2)

We can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( 2-1)/(1-0)

   = 1/1

   =1

Use the following function rule to find f(0).

f(x) = 5^x− 4

f(0) =

Answers

Helloo
So you just substitute 0 into the equation
f(0)= 5^0-4
=1-4
=-3

Hope I helped!

Answer:

-3

Step-by-step explanation:

Using the remainder and the factor theorem

5⁰-4

1-4

-3

Dr. Smith purchased a used car for $11,325. Her state charges 8% tax for the car, $53 for license plates, and $40 for a state safety and emissions inspection. How much does she need to pay for these extra charges, not including the price of the car?

Answers

Answer:

999

Step-by-step explanation:

Answer:

999

Step-by-step explanation:

8% of 11,325 is 906

53 plus 40 is 93

906 plus 93 is 999

A coat is on sale for $76. The tax is 8%. What Is the amount of tax

Answers

Answer:

The amount of tax is: 6.08

The total of the coat is: 82.08

Step-by-step explanation:

:))

What’s the value of x in this equation?

Answers

Answer:

20

Step-by-step explanation

trust me

Answer:

x = 20

Step-by-step explanation:

(5x + 35) + 45 = 180

These angles are opposites to each other so you know that together they equal 180.

Start off by adding 35 and 45. This gives you...

5x + 80 = 180

Then subtract by 80 giving you...

5x = 100

Then divide by 5. This gives you...

x = 20

I hope that this helps!!!

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