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

PLS HELP ASAP ILL GIVE BRAINLKEST THANKS

Answers

q is a number other than 3

Hello, this is my brother's homework. I'm a little bit confused since I studied this lesson a long time ago..Can someone help me? I am not sure about my answer


Which capacities are written in order from least to greatest?

A.2L, 2900mL, 250cl, 24dL
B.2L, 24dL, 250cL, 2900mL
C.2900mL, 250cL, 2L, 24dL
D.2900mL, 2L, 250cL, 24dL​​

Answers

Answer:

B

Step-by-step explanation:

A. 2L, 2.9L, 2.5L, 2.4L

B. 2L, 2.4L, 2.5L, 2.9L

C. 2.9L, 2.5L, 2L, 2.4L

D. 2.9L, 2L, 2.5L, 2.4L

Answer:

what is in order from least to greatest is B

Step-by-step explanation:

as we know 1L = 10dL = 100cL = 1000mL so that we have 2L then 24dL (2.4L) then 250cL (2.5L) then 2900mL (29L)

1 A function is represented by the following set of
ordered pairs.
{(-3,-13), (0, -7), (3, -1), (6,5)}
Which equation represents the function?
A y = 3x - 7
B y = 6x - 7
c y=2x - 7
Dy=2x-7

Answers

Answer:

  C.  y = 2x -7

Step-by-step explanation:

You can use any pair of points to find the slope. Use the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-7 -(-13))/(0 -(-3)) = 6/3 = 2

This is the coefficient of x in the slope-intercept form ...

  y = mx +b

The second point (0, -7) tells you that b = -7, so the equation is

  y = 2x -7 . . . . matches C

ANSWER

1 A function is represented by the following set of ordered pairs. {(-3,-13), (0, -7), (3, -1), (6,5)}

Which equation represents the function?

A y = 3x - 7B y = 6x - 7c y=2x - 7Dy=2x-7

Therefore the answer i letter D.

#CarryOnLearning

Alan and Pedro eat today at the same Taqueria, but Alan attends every 20 days and Pedro every 38 when will they meet again?

Answers

Answer:

380 days

Step-by-step explanation:

38 × 1 = 38 38 × 6 = 228    

38 × 2 = 76 38 × 7 = 266

38 × 3 = 114 38 × 8 = 304

38 × 4 = 152 38 × 9 = 342

38 × 5 = 190 38 × 10 = 380

20 × 1 = 20 20 × 6 = 120

20 × 2 = 40 20 × 7 = 140

20 × 3 = 60 20 × 8 = 160

20 × 4 = 80 20 × 9 = 180

20 × 5 = 100 20 × 10 = 200

20 x 10 = 200  20 x 20 = 400

so 20 x 19 = 380

First common number in both times table is 380

(-2.05) - (-5)
explain and show how u did this

Answers

Answer:

2.95

Step-by-step explanation:

When we have a problem like this (-2.05)-(-5)

It becomes -2.05+5 because two negatives make a positive, then we add them and we get 2.95

Choose yes or no to tell if the digit in the tens place is 1/10 of the value of the digit in the hundreds place 54,450

Answers

Answer:

No

Step-by-step explanation:

54,450

Digit in tens place = 5

value = 50

54,450

Digit in hundreds place = 4

value = 400

1/10 value = 40

No  the digit in the tens place is more than 1/10 the value of the digit in the hundreds place

50 is greater than 40

Two cyclists are 7 miles apart when they begin biking away from each other in
opposite directions. The speed of the first cyclist is 12 miles per hour. The speed of
the second cyclist is b miles per hour greater than the speed of the first cyclist.
How many miles apart are the cyclists in 45 minutes

Answers

Answer:

25

Step-by-step explanation:

Its just 25

A store is selling a tv that costs $355 for $15% off. How much is the tv.

Answers

Answer:

301.75$

Step-by-step explanation:

have a good day

Can u please help me with this. I’ll make brainliest

Answers

Answer:

number

Step-by-step explanation:

number than number lol sorry i dont know i wish i could help you

if you are graphing a system of equations, but the graph doesn't give you enough space to plot the y intercept or slope, what do you do? HELP ASAP

Answers

I’ve been there and I think it most likely means that you’re plotting it wrong. The graph should always have space for you to graph the problem correctly.

Describe the steps you used to solve the equation and
find the amount of Carrie's allowance.
Linear
equation: 1/4 a + 1/3 a+ 8 = 22

Answers

Answer: 22

Step-by-step explanation: 1/4a + 1/3a + 8 = 22

Answer:

Sample Response: First, the like terms had to be combined using the lowest common denominator (LCD). Then the subtraction property of equality was used to isolate the variable term. Finally, both sides of the equation were multiplied by the reciprocal of the coefficient to solve for a.

Step-by-step explanation:

PLZ HELP FAST!!
Alson earns a 7% commission on every sale he makes. Let a represent the commission Alson earns.

Damon earns the same commission as Alson. Let d represent the commission Damon earns.

Stefan does not earn the same commission as Alson. Let s represent the commission Stefan earns.

Which statement is true?

d = s
a = s
a = d
a ≠ d

Answers

Answer:

a = d

Step-by-step explanation:

I recommend writing the math out.

a = d ≠ s

d can not be equal to s, the same why a can not be equal to s. a and d are the same. a is equal to d, so it can not be a ≠ d. By process of elimnation, that leaves us with a = d

can somebody please help me

Answers

Answer:

The probability of drawing the first pink ball is [tex]\frac{3}{10}[/tex].

Because you drew that first pink ball, there are two pink balls left and the total number of balls left is nine.

Hence, the probability of drawing another pink ball after drawing the first pink ball would be:

[tex]\frac{3}{10} *\frac{2}{9} =\frac{1}{15}[/tex]

Which equation can be simplified to find the inverse of y = 2x2?
1/y=2x^2
y=1/2x^2
-y=1/2x^2
x=2y^2

Answers

Answer:

D. x = 2y²

Step-by-step explanation:

The step in working out the inverse is to swap over the variables.

If we apply same to given equation, we'll have:

y = 2x²  → x = 2y²

It gives us the option D

Answer:

Option D

Step-by-step explanation:

y=2x²

Interchange x and y

x=2y²

Hence option D is correct

y²=x/2y=√x/2

Help pleaseee giving brainliest !

Answers

Answer:

the answers you chose are correct.

Step-by-step explanation

b and d

A line passes through (0, 2) and has a slope of 1/3.
What is the equation of the line in slope-intercept form?

A) y=1/3x+2
B) y=1/3x−2
C) y=−1/3x+2

Answers

Answer:

A)

y=1/3x +2

Step-by-step explanation:

equation of line is y=mx+c

so here the points are (0,2) and the gradient,m is 1/3

the y-intercept, c is 2

as when substituting the result is 2 for the y-intercept

substituting:

y=mx+c (0,2)

2=1/3 (0) +c

c= 2

The equation of the line is y=1/3x +2 if a line passes through (0, 2) and has a slope of 1/3 option (A) is correct.

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The slope-intercept form of the line is:

y=mx+c

The points are (0,2) and the gradient,m is 1/3

c= 2

y = x/2 + 2

Thus, the equation of the line is y=1/3x +2 if a line passes through (0, 2) and has a slope of 1/3 option (A) is correct.

Learn more about the straight line here:

brainly.com/question/3493733

#SPJ2

PLEASE HELP!!!!!!!!! URGENT!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

the answer is

A. True

that is correct

I believe its true because the rule 1/4 and it works for all 12 x 1/4= 3 8 x 1/4= 2 4 x 1/4= 1 0 times anything is 0

HI I REALLY NEED HEP PLEASEE

Answers

Option 2. Both lines have the same slope but start at a different y-intercept so they would be parallel. The other choices are false as well.

The answer is B

Hope this helps

(C) c varies directly as a and inversely as b. If c= 15 when a = 18 and b = 40, find c when a = 36, and b = 25. = с​

Answers

Answer:

c = 48

Step-by-step explanation:

Given c varies directly as a and inversely as b then the equation relating them is

c = [tex]\frac{ka}{b}[/tex] ← k is the constant of variation

To find k use the condition c = 15 when a = 18 and b = 40 , then

15 = [tex]\frac{18k}{40}[/tex] ( multiply both sides by 40 )

600 = 18k ( divide both sides by 18 )

[tex]\frac{600}{18}[/tex] = k

[tex]\frac{100}{3}[/tex] = k

c = [tex]\frac{100a}{3b}[/tex] ← equation of variation

When a = 36 and b = 25 , then

c = [tex]\frac{100(36)}{3(25)}[/tex] = [tex]\frac{3600}{75}[/tex] = 48

Susie has 5/8ths of a gallon of tea and needs to fill as many glasses as possible. If each glass holds 2/7ths of a cup, how many glasses can she fill? Hint: One gallon is the same as 16 cups. Pls hurry! Will mark brainliest.

Answers

Answer:

35 glasses

Step-by-step explanation:

Susie has 5/8 gallon = 5/8 * 16 = 10 cups

10 cups ÷ 2/7 cups per glass = 35 glasses

I need help pleaseeeeee

Answers

Answer:

top one is 8x bottom is 9

Step-by-step explanation:

Use exponents to write the prime
factorization of 48.

Answers

Answer:

48=2^4x3

Step-by-step explanation:

48=2x2x2x2x3

48=2^4x3

Hope this helps :)

Donna cut away 7.75 meters of rope. Before that, she had 12 meters of rope. How much rope does Donna have left?

Answers

Answer: 4.25 meters of rope

Step-by-step explanation:

Because Donna is losing 7.75 meters of rope from her original 12 meters, this problem can simply be represented as 12 - 7.75, which equals 4.25.

Hope it helps :) and let me know if you want me to elaborate.

I paid $15.48 for 12 songs on iTunes. How much did 1 song cost?

Answers

Answer:

$1.29

u divide 15.48 by 12. trust

assuming they all cost the same amount:

$15.48 / 12 = $1.29
$1.29 each

BRAINLIEST
please help me do these problems I’ve almost finished the whole assignment

Answers

Answer:

13. PS ≈ 28.30

14. ∠CDB ≈ 68.74°

Step-by-step explanation:

13 =========================

We'll start from the right, at ∠R. We have the measurement of the angle, the adjacent side, and we need to find the measurement of the opposite side. Use the tan function in this case. (think soh-cah-toa)

[tex]tan(28)=\frac{x}{39} \\x=39tan(28)[/tex]

or x ≈ 20.74

Now we know that QS is about 20.74. From ∠P this time, we have the angle, the opposite side, and we need the hypotenuse. sin function this time.

[tex]sin(76)=\frac{39tan(28)}{y} \\ysin(76)=39tan(28)\\y=\frac{39tan(28)}{sin(76)}\\[/tex]

or y ≈ 28.30

PS ≈ 28.30

14 ======================

Start from ∠A and use tan.

[tex]tan(47)=\frac{x}{18} \\x=18tan(47)[/tex]

x ≈ 19.30

Then from ∠CDB, we'll use inverse cos.

[tex]cos^{-1}(\frac{7}{18tan(47)} )= y[/tex]

y ≈ 68.74°

∠CDB ≈ 68.74°

=======================

I'm pretty highly confident this is correct, but it's been a long time since I've done this and the irrational numbers seem strange. If the rest of the assignment was like that though, it should be fine.

Find the perimeter.Simplify your answer.

Answers

Answer:

24x-6

Step-by-step explanation:

To find the perimeter we have to ads all of our sides to together

8x-3+8x-3+4x+4x

Combine light terms

24x-6

Mr pilgrim needs fencing for his turkey coop the perimeter is 240 yards the length is 16 yards longer than the width

Answers

Based on the information given, the length will be 68 yards while the value of the width will be 52 yards.

Width = wLength = w + 16

The calculation will go thus:

Perimeter = 2l + 2w

240 = 2(w + 16) + 2w

240 = 2w + 32 + 2w

240 = 4w + 32

4w = 240 - 32

4w = 208

w = 208/4 = 52

Therefore, the length will be:

= w + 16 = 52 + 16 = 68

Read related link on:

https://brainly.com/question/25748983

Mark can make 424242 birthday cakes in 777 days.
How many birthday cakes can Mark make in 555 days?
birthday cakes

Answers

It would be 303,030 cakes
424242/777=545
555x546=303,030

Pls help me solve thisss

Answers

Answer:

J (-5,2)

Hope this helps!

Find the sum by first finding the equivalent fractions so both of the fractions have common denominators.

three eighths plus seven sixteenths equals blank
Question 2 options:

thirteen sixteenths

ten twenty fourths

ten sixteenths

four sixteenths

Answers

Answer:

thirteen sixteenths

Other Questions
Half the sum of a number and 1.75 is 5.1. Enter your answer as a simplified mixed number Help please.. June earned $75 last week. April earned $25. Junes earnings were how many times greater than Aprils? Put this phrase in the right order! black-and-white French a depressing movie The new national government, under theArticles of Confederation, was strongerthan the separate states.TrueFalse It costs more to eat a nutrient-dense diet than to eat a nutrient-poor diet. Group of answer choices True False why did diocletian divide the empire into two sections? the balloon was filed with perfume. How did the fragrance get out from the balloon? Name the process occured?? Which of the following is an example of a hierarchy?A graduation ceremony, where students whose names begin with A sit in the first row, B in the second row, C in the third row, and so on through Z.The United States government, where our executive, legislative, and judicial branches share power through a system of checks and balances.A roller coaster line, where only people who are four feet or taller are allowed to ride.The U.S. Army, where staff sergeants must report to their lieutenants, who must in turn report to their captains, who must report to the lieutenant colonels, and so on, through to the generals. Short story with future perfect tense Help plz I dont understand how to do this math below Hello kind people I will be handing A brain-list The Chang family is on their way home from a cross-country road trip. Their starting destination is 2,280 miles from their home. The Chang family can expect to decrease the distance from their home by 60 miles per hour. Part A: Based on the information provided, write the function d(t) that represents the family's distance (in miles), d, from home after t hours of driving.Part B: If rate at which the Chang family travels home continues at the same rate, determine the value of d(15) and describe what it means in reference to the situation. Need to know this, please help Also no links or wrong answers ANALYZE The table below shows the values of a cubic function. Could there be a zero betweenx= 2 and x = 3? Justify your argument.ONLY QUESTION 30 Choose the word that best completes the sentence.____ mi familia, yo soy impaciente.A. Le gustaB. SoyC. SegnD. Se llama ________________ is the term used to describe drugs that often lead to other serious and dangerous drug use.A. Synthetic drugsB. Illegal drugsC. Gateway drugsD. OTC drugs What is an explanation or picture of how to work out the problem 8.13-2.716 What were two consequences of US involvement in World War I for German immigrants and their descendants?A) Germans were forced to learn to speak English. B) Germans were prevented from owning property. C) Germans were subject to discrimination. D) German language was taught to help identify spies. E) German culture was suppressed in the United States. WILL MARK A BRAINLIEST!!! PLS HELP!!! Never gonna give you upNever gonna let you downNever gonna run around and desert youNever gonna make you cryNever gonna say goodbyeNever gonna tell a lie and hurt you ??????????????????? Help