Nick was surveying his field and saw some cows and ducks. Nick counted a total of 80 heads and
248 legs. Assuming there are no mutations in the animals, determine exactly how many ducks and cows he saw. Let
X represent the number of ducks and y represent the cows.
Total Equation:
Legs Equation:
How many ducks?
How many cows?

Answers

Answer 1

Answers:

Total equation:  x+y = 80Legs equation:  2x+4y = 248How many ducks? 36How many cows? 44

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

Further explanation:

x = number of ducksy = number of cows

x+y = 80 is the total equation (ie the head count equation) since we assume each animal has 1 head, and there are 80 heads total.

That equation can be solved to y = 80-x after subtracting x from both sides.

The legs equation is 2x+4y = 248 because...

2x = number of legs from all the ducks only4y = number of legs from all the cows only2x+4y = total number of legs from both types of animals combined

We're told there are 248 legs overall, so that's how we ended up with 2x+4y = 248

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

Let's plug y = 80-x into the second equation and solve for x.

2x+4y = 248

2x+4( y ) = 248

2x+4( 80-x ) = 248

2x+320-4x = 248

-2x+320 = 248

-2x = 248-320

-2x = -72

x = -72/(-2)

x = 36

There are 36 ducks

Now use this x value to find y

y = 80-x

y = 80-36

y = 44

There are 44 cows.

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

Check:

36 ducks + 44 cows = 80 animals total

36*2 + 44*4 = 72 + 176 = 248 legs total

The answers are confirmed.


Related Questions

find the value of x in the equation below.
PLEASE SHOW ALL YOUR WORK
-3x-5=-17

Answers

Answer: x=4

Step-by-step explanation:

-3x-5=-17

    +5   +5

-3x=-12

/-3   /-3

x=4    

Solve the math problem

Answers

Answer: Here ya go (answers below)

Step-by-step explanation:

5,400 becomes 5.4 x [tex]10^{3}[/tex]

0.0024 becomes 2.4 x [tex]10^{-3}[/tex]

342.5 becomes 3.425 x [tex]10^{2}[/tex]

0.000004 becomes 4 x [tex]10^{-6}[/tex]

463,000,000 becomes 4.63 x [tex]10^{8}[/tex]

12.5 x [tex]10^{3}[/tex] becomes 1.25 x [tex]10^{4}[/tex]

need help please this is due very soon

Answers

So focus. On that stop playing on your phone

Adrian wants to buy a skateboard that costs $85 After 1 month, he has $4 in savings and plans to quadruple the amount he has saved each month for 4 months Will Adrian have enough money to buy the skateboard in 4 months?

Answers

Adrien will not have enough money in 4 months.
Answer: $64
4 x4=16
16x4=64
64≠85

Convert 4.06 to a percent. please help, i need this for school and i have to get an 80 on this assignment.

Answers

Answer:

406 percent

Please brainliest me i am begging you for god sake

using the distance formula d=√(x2- x1)^2 +(y2-y^1, what is the distance between point (-3,1) and point (-2,4) rounded to the nearest tenth

Answers

Answer:

[tex]d = \sqrt{(x2 - x1) + (y2 - y1)} \\ d = \sqrt{ (- 3 + 2) + (1 + - 4)} \\ d = \sqrt{ - 1 + - 3 } \\ d = \sqrt{ - 4 } \\ d = - 2[/tex]

Step-by-step explanation:

hope it helps you<3

How I find a area of a trapezoid

Answers

The answer is - The formula for the area of a trapezoid is area equals 1/2 times parentheses base 1+ base two times height where the bases are the parallel sides

What is 2 to the 5th power multiplied by 2 to the negative 3rd power??​

Answers

Answer:

4

Step-by-step explanation:

[tex]2^5 \times 2^{-3}[/tex]

Because the powers have the same base of 2, we can apply the index law:

[tex]a^b \times a^c=a^{b+c}[/tex]

Therefore, [tex]2^5 \times 2^{-3}=2^{5-3}=2^2=4[/tex]

1. What are the vertices of △′′′white up pointing triangle . e prime , f prime , g prime for each translation? a. ⟨,−⟩(△)=△′′′

Answers

Answer:

The coordinates of the vertices are ′(,−), e prime . open 1 comma negative 3 close comma ′(,−), f prime . open 5 comma negative 2 close comma and ′(,−). g prime . open 4 comma negative 8 close .

Step-by-step explanation:

Which property of soil depends on the size of particles?
color
odor
temperature
texture

Answers

The property of soils which depends on the size of particles is Texture.

Properties of Soil

The properties of Soil include colour, odor, temperature, and texture as measured by porosity, mouldability and a host of other texture effects.

It is evident that the texture of soil is dependent on the size of the particles as it affects how packed the particles of the soil is.

Read more on properties of soil;

https://brainly.com/question/26462165

Answer:

the right one is texture

Step-by-step explanation:

i got it right on the test

283 is the same as the quotient of 97 and u

Answers

Answer:

283=97/u U=2.917

Step-by-step explanation:

if you have choices and more information, it would be helpful when answering questions

Bryant types 1400 words in 25 minutes. How many words does he type per minute?

Answers

Answer:

56 words per minute

Step-by-step explanation:

1400÷25=56

Answer:

56 wpm

Step-by-step explanation:

Layla read 6 books in the first two months she was a member of a book club. Which equation best represents y, the total number of books read in x number of months?
A. y = 6x
B. y = 2x
C. y = 3x
D. Not Here

Answers

Answer:

C

Step-by-step explanation:

So if we look at the information that we already know, Layla's reading to months ratio is, 6:2. But to find out the equation we want to find out how many books she reads in ONE month instead of two.

Divide 2/2, and for ratios if you divide one side you have to do the same thing to the other side, so we get, 3:1. Where Layla reads 3 books per 1 month.

Therefore the answer is C.

If we wanted to double check our answer we could substitute our information back in:

6=3×2

6=6

Since the equations equal each other, we know we got it correct.

which of the following polynomials has a graph with odd symmetry? a. 7x^4+13x^3-11 b. 5x^7+4x^6+3x^5+x c.13x^5 -1/2x^3+7x+3 d. 8x^5+7x^3-5x

Answers

Answer:

D) [tex]f(x)=8x^5+7x^3-5x[/tex]

Step-by-step explanation:

A function is odd if its graph is symmetric to the origin, which we can check this if [tex]f(-x)=-f(x)[/tex] is true:

Option A

[tex]f(x)=7x^4+13x^3-11\\\\f(-x)=7(-x)^4+13(-x)^3-11\\\\f(-x)=7x^4-13x^3-11[/tex]

Since [tex]f(-x)\neq-f(x)[/tex], then the function does not have odd symmetry

Option B

[tex]f(x)=5x^7+4x^6+3x^5+x\\\\f(-x)=5(-x)^7+4(-x)^6+3(-x)^5+x\\\\f(-x)=-5x^7+4x^6-3x^5+x[/tex]

Since [tex]f(-x)\neq-f(x)[/tex], then the function does not have odd symmetry

Option C

[tex]f(x)=13x^5-\frac{1}{2}x^3+7x+3\\\\f(-x)=13(-x)^5-\frac{1}{2}(-x)^4+7(-x)+3\\ \\f(-x)=-13x^5-\frac{1}{2}x^4-7x+3[/tex]

Since [tex]f(-x)\neq-f(x)[/tex], then the function does not have odd symmetry

Option D

[tex]f(x)=8x^5+7x^3-5x\\\\f(-x)=8(-x)^5+7(-x)^3-5(-x)\\\\f(-x)=-8x^5-7x^3+5x[/tex]

Since [tex]f(-x)=-f(x)[/tex], then the function DOES have odd symmetry. You can also see that the function is odd because every term has an odd exponent.

Convert. Simplify your answer and write it as a proper fraction or as a whole or mixed number.
_____ cups = 5 1/2 pints.

Answers

There are 11 cups in 5 1/2 pints. There are .5 pints in 1 cup, 11 cups would be 5 1/2 pints.

please help me with this

Answers

Answer:

  match the boxes to the parts of the equations shown below

Step-by-step explanation:

Left

  [tex]\text{slope}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{50-34}{5-3}=\dfrac{16}{2}=8[/tex]

__

Right

  [tex]\text{slope}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{2-31}{30-1}=\dfrac{-29}{29}=-1[/tex]

17 is what percent of 68?​

Answers

Answer:

25%

17 is what percent of 68?

Its 25%

17/68*100

= (17*100)/68

= 1700/68 = 25

Answer:

25%

Step-by-step explanation:

Question : 17 is what percent of 68?​

Answer :

To solve this let the unknown percentage be x .

Let us solve now.

68 × x% = 17

68 × [tex]\frac{x}{100}[/tex] = 17

And now let us find the percentage by making x as the subject.

[tex]x=\frac{17*100}{68}[/tex]

[tex]x = \frac{1700}{68}[/tex]

[tex]x =25[/tex]

Therefore, the percentage is 25%

Hope this helps you :-)

Let me know if you have any other questions :-)

A veterinarian divided 4/5 of a bottle of medicine equally among 4 sick cats. How much did she give each sick cat?

Answers

I think it’s 1/5 or 3 1/5

i've tried everything for b??

Answers

Answer:

5/8

Step-by-step explanation:

There are 8 square in the box and 5 are filled in, so it is 5/8.

what is 7(8x+5x+8)−7x in it simplist form

Answers

Answer:

84x+56

Step-by-step explanation:

Hope this helps!

also for the future, so you don't have to waste your points, use math w ay it will solve ur problems :)

Find the three consecutive square numbers whose sum is 149.

Answers

Answer:

36 + 49 + 64 = 149

6^+7^2+8^2

Hope This Helps!!!

1. "Ten subtracted from the quotient of a number and
7 is less than -6."

Answers

Answer:

N/7 - 10 < -6

N/7 < 4

N < 28

Step-by-step explanation: hope it helps

Answer:

16

Step-by-step explanation:

first you gotta subtract until you get 7 then subtract again until you get -6

Raheel is comparing the cost of two parking garages. Garage A charges a flat fee of $6 per car plus $0.50 per hour. Garage B charges a flat fee of $2 per car plus $1 per hour.

Answers

Answer:

$6 + .50x = $2 + $1.00x

4 = .50x

8hr = x, the number of hours when both garages cost the same amount

$6 + .50 x 8 =

$10 would be the cost a both garages after 8 hours

Step-by-step explanation:

#A

Flat fee=6Rate of change=0.5

Equation in slope intercept form

y=mx+by=0.5x+6

#B

Flat fee=2$Rate of change=1

Equation in slope intercept form

y=x+2

Now for compare take any no

Let's take 10

For garage A

y=0.5(10)+6=5+6=11$

For garage B

y=10+2=12$

Hence Garage B is charging more

You and your friend leave your houses at the same time to meet at a restaurant. The distance (in miles) your friend
is from the restaurant is given by y = -40% + 200, where I is the number of hours since your friend left home.
You live 100 miles from the restaurant and arrive at the same time as your friend. Write a linear equation that
represents your distance from the restaurant

Answers

Answer:

When x=0 the friend is 200 miles from the restaurant and at x=5 the friend reaches the restaurant. When x=0 you are 100 miles from the restaurant, so 100 is the y intercept, and when x=5 you reach the restaurant so 5 is the x intercept. We have y=mx+100 and y=0 when x=5, so 0=5m+100 therefore m=-20 and the equation is y=-20x+100.

What is the 4th equivalent fraction to
5/6

Answers

Answer:

20/24

Step-by-step explanation: Hope this helps

Help! it's giving me a headache and I will be very thankful

Answers

Answer:

Hey, I'm not sure if this will help but by just looking at it I would say C.

Explanation:

This is because it looks like the parallelogram can be adjusted to be a rectangle which would give you the answer of 77.

I hope that makes sense!


Review the equation below. 2KClO3 Right arrow. 2KCl + 3O2 How many moles of oxygen are produced when 2 mol of potassium chlorate (KClO3) decompose? 1 2 3 6

Answers

Answer:   3 mol of O₂

Solution:

The Balance chemical equation is as follow,

                               2 KClO₃    →    2 KCl  +  3 O₂

According to this equation on decomposition 2 moles of Potassium chlorate (KClO₃) produces 2 moles of Poatassium chloride (KCl) and 3 moles of oxygen gas (O₂).

Therefore, when,

                    2 moles of KClO₃ produces  =  3 moles of O₂

So,

                 2 moles of KClO₃ will produce  =  X moles of O₂

Solving for X,

                    X =  (2 mol × 3 mol) ÷ 2 mol

                   X  =  3 mol of O₂

Using above method you can calculate any amount of O₂ or KCl produced by decomposing any amount of KClO₃.

Answer:

3 mol of O₂

Step-by-step explanation:

i got a hundred on Edge

You can use the formula a = to find the batting average a of a batter who has h hits in n times at bat. in If a person has a batting average of 280 and has been at bat 300 times, how many hits does the batter have?​

Answers

Answer:

Step-by-step explanation:

BA = Number of hits / Times at bat

BA = 280 / 300

BA = 0.933

No one past or present, has ever had that kind of batting average.

Ty Cobb has a lifetime average of 0.366

Ted Williams was the last play to average 0.406 in a season. (Over 400). He did it in 1941.

In a camp ,there is enough flour for 300 persons for 42 days.How long will the flour last if 20 more persons join the camp

Answers

Answer/Step-by-step explanation:

Direct proportion: If a variable increases then other variable also increases with a constant factor  i.e.  y = kx

Inverse proportion:  if a variable increases then other variable decreases with a  constant factor  i.e   xy = k

Assume that food will last for d days if 20 more persons join the camp.

Understand the fact that for given food number of days food last is inversely proportional to the number of persons hence product of days food lasts and number of persons is constant,

Days x number of persons = constant

Equate the product of 300 persons and 42 days  with (300 + 20) person and d days to solve for d.

[tex](300+20) *d=300*42[/tex]

⇒ [tex]d = \frac{12600}{320}[/tex]

⇒ [tex]d =\frac{1260}{32}[/tex]

⇒ [tex]d=\frac{315}{8}[/tex]

⇒ [tex]d=39.375[/tex] [tex]days[/tex] [tex]or[/tex] [tex]39(\frac{3}{8} )days[/tex] [tex]in[/tex] [tex]fraction[/tex]

Hence, if 20 more people Join (320 people ) it will last 39.375 days in decimal or 39 3/8 days in fraction

[RevyBreeze]

A balloon containing 0. 040 mol of a gas with a volume of 5. 0 mL was expanded to 1. 0 L. Which equation should you use to find the amount of gas added? V subscript 2 equals StartFraction V subscript 1 n subscript 2 over n subscript 1 EndFraction. N subscript 2 equals StartFraction V subscript 2 n subscript 1 over V subscript 1 EndFraction. N subscript 2 equals StartFraction V subscript 1 n subscript 1 over V subscript 2 EndFraction.

Answers

Answer:

n2=v2n1/v1

Or B

Step-by-step explanation:

P, R, and T are constant, then the volume is directly proportional to the mole. Then the correct option is A.

What is an ideal gas equation?

An ideal gas is a theoretical composed of a set of randomly moving gas particles that interacts only through elastic collision.

Given

A balloon containing 0.040 mol of a gas with a volume of 5.0 mL was expanded to 1.0 L.

[tex] \rm V_1 = 5 \ mL\\ V_2 = 1000 \ mL\\ n_1 = 0.040 \ mol [/tex]

We know the equation of the ideal gas.

[tex] \rm PV = nRT [/tex]

where P, R, and T are the constant, then

[tex] P \propto n[/tex]

Then we have

[tex] \rm \dfrac{V_2}{V_1} = \dfrac{n_2}{n_1} \\\\ V_2 = n_2 *\dfrac{V_1}{n_1} [/tex]

Thus, the correct option is A.

More about the ideal gas equation link is given below.

https://brainly.com/question/1056445

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