Farmer Fran has 38 barnyard animals consisting of only chickens and goats. If these animals have 116 legs how many of each type of animal are there?

Answers

Answer 1

Answer: There are 20 goats and 18 chikens.

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations:

If the number of chickens is represented by C, and the number of goats is G.

Total of Animals equation:

a)C+ G = 38

Total of legs equation (since chickens have 2 legs and goats have 4 ):

b)2C + 4 G =116

If we multiply a) by 2 and subtract a) from b).

2C + 4 G =116

-

2C + 2 G =76

_________

2G = 40

Solving for G:

G = 40/2

G= 20

Replacing the value of G on any equation:

a) C+ (20) =38

Solving for C

C =38-20

C=18

There are 20 goats and 18 chickens.

Answer 2

Answer:

chickens is represented by C, and the number of goats is G.

C=18

G=20

Total of Animals equation:

a)C+ G = 38

Total of legs equation (since chickens have 2 legs and goats have 4 ):

b)2C + 4 G =116

If we multiply a) by 2 and subtract a) from b).

2C + 4 G =116

-

2C + 2 G =76

_________

2G = 40

Solving for G:

G = 40/2

G= 20

Replacing the value of G on any equation:

a) C+ (20) =38

Solving for C

C =38-20

C=18

There are 20 goats and 18 chickens.


Related Questions

What's the value of x? 40000mg =10x g

Answers

The value of x is 4. So 40000 mg= 40 g.

Step-by-step explanation:

      The given is 40000mg = 10x g

Step:1

      Take given equation as equation (1)

                     40000 mg= 10x g.................(1)

      where, X is known value.

Step:2

      Standard value for mg to g for the purpose of conversion of units,

                      1 milligram = 0.001 gram   (or)

                      1 gram = 1000 milligram

Step:3

      From the standard data values,

                    = 40000 mg

      it converted mg to g by dividing 1000

                    = [tex]\frac{40000}{1000}[/tex] g

                    = 40 g.......................(2)

Step:4

       From the Equations (1) and (2),

                 40=10x

                  x=4

Result:

       The value of x is 4. So, 40000mg = 40 g.

the half-life of isotope X is 2.0 years. How many years would it take for a 4.0mg sample of X to decay and have only 0.50 mg of it remain

Answers

After 2.0 years, the 4.0 mg sample decays to 2.0 mg.

After another 2.0 years (total 4.0 years), the 2.0 mg sample decays to 1.0 mg.

And after another 2.0 years (total 6.0 years), the 1.0 mg sample decays to 0.50 mg.

So it takes 6.0 years for 4.0 mg to decay to 0.50 mg.

It takes for a 4.0 mg sample of X to decay and have only 0.50 mg of it remain is 6 years.

What is half-life?

It is the continuous disintegration of the matter by the emission of highly penetrating radiation associated with the nucleus.

Given

The half-life of isotope X is 2.0 years.

How to find the years would it take for a 4.0 mg sample of X to decay and have only 0.50 mg?

The half-life of isotope X is 2.0 years.

            Mass                                                 Time period

           4.0 mg                                                       0

           2.0 mg                                                       2

            1.0 mg                                                       4

           0.5 mg                                                       6

Thus, 6 years would it take for a 4.0 mg sample of X to decay and have only 0.50 mg of it remain.

More about the half-life link is given below.

https://brainly.com/question/24710827


Kevin is twice as old as Sean. Together their ages add up to 75.

Answers

Answer:

Kevin would be 50 and Sean would be 25

Step-by-step explanation:

Assuming that there is no other information given,

and Kevin is twice as old as sean, and they gotta add up to 75 total

50 + 25 = 75

25x2 = 50

Hope this helped!

Answer:

Kevin is 50 and Sean is 25.

Step-by-step explanation:

Add 25 + 50 = 75

Multiply 25 x 2 = 50

Hope this helps

-Amelia The Unknown

9. The height of a plane is a function of the time since take off. Identify the dependent variable? *
A Height
B Speed
C Time
D Acceleration

Answers

The dependent is A. Height

Maya is working two summer jobs, making $7 per hour babysitting and $11 per hour landscaping. Last week Maya earned a total of $96 and worked 3 times as many hours babysitting as she worked hours landscaping. Determine the number of hours Maya worked babysitting last week and the number of hours she worked landscaping last week.

Answers

$7 x 9hours = $63
$11 x 3hours = $33
$63 + $33 = $96
9hour + 3hours = 12hours
12 hours

The number of hours Maya worked babysitting and landscaping last week is 2.4 hours and 7.2 hours respectively

Given:

Earnings for babysitting = $7

my Earnings for landscaping = $11

Total earnings = $96

Iet

number of hours babysitting = x

number of hours landscaping = y

y = 3 × x

y = 3x (1)

y = 3x (1)7x + 11y = 96 (2)

substitute (1) into (2)

7x + 11y = 96 (2)

7x + 11(3x) = 96

7x + 33x = 96

40x = 96

x = 96/40

x = 2.4 hours

substitute x = 2.4 into (1)

y = 3x (1)

y = 3(2.4)

y = 7.2 hours

Therefore, the number of hours Maya worked babysitting and landscaping last week is 2.4 hours and 7.2 hours respectively

Learn more about equation:

https://brainly.com/question/4563555

pls help I will mark brainlist if correct !! :)

Answers

Answer:

a and b

Step-by-step explanation:

h(x)=x+5/8

find the inverse

Answers

Answer:

X=8y-5

Step-by-step explanation:

Let y be the inverse of x+5/8

Y=x+5/8

Cross multiply

8y=x+5

Substrate 5 from both sides

8y-5=x

Therefore x=8y-5

Darlene has eaten three eights of the pizza what fraction of the pizza remains?

Answers

Answer:

5/8

Step-by-step explanation:

1-3/8=5/8

-
7 - 9 = 7+(-9)
Add.

Answers

The answer is True , I just answered this question

The required sum of 7 and -9 is -2. Adding a negative number to a positive number results in a negative sum.

When adding the numbers 7 and -9, we follow the rules of addition with positive and negative numbers. To add a positive number and a negative number, we can think of it as subtraction. In this case, we have 7 + (-9), which is the same as 7 - 9.

To perform the addition, we subtract 9 from 7:

7 - 9 = -2

Therefore, the sum of 7 and -9 is -2. Adding a negative number to a positive number results in a negative sum. In this case, subtracting 9 from 7 gives us -2.

Learn more about sum here;

https://brainly.com/question/17684163

#SPJ6

write (2,4) and (1,-2) in slope intercept form

Answers

Y=6x-8


Hope this helps!!!

On a scale model of a shopping center, the scale is 1/3 inch to 1 foot. If the actual length of the shopping center is 144 feet, what is the length on the scale model?

Answers

Answer:

48 inches

Step-by-step explanation:

1 in = 3 ft

144/3=48

How many meters are equivalent to 247 centimeters?

Answers

Answer:

2.47 m

Step-by-step explanation:

247 cm /100 = 2.47 m

1 m = 100 cm

247 centimeters is equivalent to 2.47 meters

To convert centimeters to meters, we use the conversion factor that 100 centimeters equal 1 meter. This is because the prefix 'centi' in centimeter means 'one hundredth', so 100 centimeters make up 1 meter.

To find the number of meters in 247 centimeters, we divide 247 by 100, because there are 100 centimeters in a meter. This gives us:

247 cm ÷ 100 = 2.47 meters

Therefore, 247 centimeters is equivalent to 2.47 meters.



what is -4.5= a - 8

Answers

Answer:

Step-by-step explanation: -4.5=a-8

1. add 8 to both sides -4.5+8= 3.5

2. since you added 8 to negative 8 you get zero so it just goes away

3. ANSWER= 3.5=a

A= 3.5
Steps: a= -8+4.5
-a=-3.5
a=3.5

ANSWER IN ONE MINUTE AND YOU WILL BE THE BRAINLIEST!

Sabrina and four friends share 3 1/4 pizzas. If they all ate the same amount, which expression could be one of the steps in determining how much pizza each person ate?

A. 5/1 X 13/4
B. 13/4 X 1/5
C. 13/4 X 5/1
D. 5/1 X 4/13

Answers

A because you would have to turn the mixed
fraction into a improper fraction which would turn it into 13/4 not 4/13 then multiply by 5/1.

Answer:

B

Step-by-step explanation:

1+1=? Easiest 5 points! I know answer but I am giving away points for something that everyone knows.

Answers

Answer:

2

Step-by-step explanation:

Step 1:  Add the numbers together

1 + 1

2

Answer:  2

The correct answer is 1 + 1 = 2

how do you factor x^2+ bx+ c

Answers

Answer:

Plug in the Quadratic formula

Step-by-step explanation:

answer please !!! i need help asap

Answers

Answer:

A. Undefined will be your answer

Step-by-step explanation:

your answer should be A.

Which system of equations below has exactly one solution?

y = –8x – 6 and y = –8x + 6

y = –8x – 6 and One-halfy = –4x – 3

y = –8x – 6 and y = 8x – 6

y = –8x – 6 and –y = 8x + 6

Answers

Answer:

The given system of equations  [tex]y=-8x-6[/tex] and [tex]y=8x-6[/tex] has exactly one solution

Step-by-step explanation:

Given that the system of equations [tex]y=-8x-6\hfill (1)[/tex] and

[tex]y=8x-6\hfill (2)[/tex] has exactly one solution

For :Now to show that the given system of equations has exactly one solution :Solving the given equations (1) and (2) to get solutionAdding the equations (1) and (2) we get

[tex]y=-8x-6[/tex]

[tex]y=8x-6[/tex]

______________

[tex]2y=0-12[/tex]

[tex]y=-\frac{12}{2}[/tex]

[tex]=-6[/tex]

Therefore the value of is y=-6Substitute the value of y in equation (1) we have

[tex]-6=-8x-6[/tex]

[tex]-8x-6+6=0[/tex]

[tex]-8x+0=0[/tex]

[tex]-8x=0[/tex]

[tex]x=-\frac{0}{8}[/tex]

[tex]=0[/tex]

Therefore the value of x is x=0

Therefore it has exactly one solution is (0,-6)Therefore the  given system of equations  [tex]y=-8x-6[/tex] and [tex]y=8x-6[/tex] has exactly one solutione given  system of equations has exactly one solution

Answer:

y=-8x-6 and

y=8x-6 has exactly one solution

Step-by-step explanation:

A souvenir of the Eiffel Tower is scaled at 1/80 inch to 1 foot. If the first-story platform of the tower is 189 ft high, find the height of the first-story platform of the souvenir of the Eiffel Tower. 0.42 in 2.36 in 15,120 in 0.2 in

Answers

Answer:

2.36 in.

Step-by-step explanation:

1 foot is equivalent to 1/80 in.

So 189 feet is equivalent to 189/80 in = 2.36 in.

approximate √29 as a decimal to the tenths place.

Answers

Answer:

the correct answer is 5.4

What is the GCF of 5 , 6 , and 8

Answers

Answer:

The GCF of 5, 6, and 8 would be 1.

Step-by-step explanation:

To find the GCF (Greatest Common Factor) of any amount on numbers, you would find the factors of the numbers and find which is the greatest one that they have in common.

To find the GCF of 5, 6, and 8, we must first find the factors of 5, 6, and 8.

Factors of 5:  1, 5

Factors of 6:  1, 2, 3, 6

Factors of 8:  1, 2, 4, 8

Now we found the factors of 5, 6, and 8. to find the GCF, we must now find which factors they have in common.

The factors 5, 6, and 8 have in common is 1. Since they have no other factors in common, 1 would be the GCF.

The GCF of 5, 6, and 8 would be 1.

I hope this helps. :)

Final answer:

The Greatest Common Factor (GCF) of the numbers 5, 6, and 8 is 1, as it is the only common factor among all the numbers.

Explanation:

The Greatest Common Factor (GCF) of the numbers 5, 6, and 8 is found by determining the largest number that divides each of the given numbers without leaving a remainder. To find the GCF, we can list the factors of each number:

Factors of 5: 1, 5Factors of 6: 1, 2, 3, 6Factors of 8: 1, 2, 4, 8

Looking at the factors, 1 is the only number that is common to all three, making it the GCF.

Hence, the GCF of 5, 6, and 8 is 1. This methodically derived GCF encapsulates the common factor that unifies the numerical trio.

Consider the equation, -5x+10x+3 = 5x+6

Answers

Answer: No value for x

Step-by-step explanation:

-5x+10x+3 = 5x+6

5x + 3= 5x +6

Step 1: Combine like terms

5x - 5x = 6-3

0=3

you have to loan Rs 75000 for 2 years for a purpose. if a finance company A lends money at 10% per annum compounded annually and Finance Company B lends money at 8% per annum compounded semi annually for which Finance Company will you take the loan and why give your reason with calculation​

Answers

He will take the loan from Company B.

Step-by-step explanation:

Given,

For Company A

Principal (P) = Rs 75000

Time (T) = 2 years

Rate of interest (R) = 10%

For Company B

Principal (P) = Rs 75000

Time (T) = 2 years

Rate of interest (R) = 8%

To find the amount of the loan he has to pay for both the companies.

Formula

Amount =P [tex](1+\frac{R}{100} )^{T}[/tex]

Amount= P[tex](1+\frac{R}{100Xn} )^{nT}[/tex]

For Company A

Amount = 75000[tex](1+\frac{10}{100}) ^{2}[/tex] [ Here, P= 75000, T=2 and R = 10%]

= 194530 (approx)

For Company B

Amount = 75000([tex](1+\frac{8}{200} )^{4}[/tex] [ Here, P= 75000, T=2, n = 2 and R = 8%]

= 87739 (approx)

Hence,

He will take the loan from Company B, because he has to pay less money for this company.

A magazine contains thirteen pages. You
open to a random page. The page number
is two or ten.

Answers

If a magazine contains thirteen pages, it means that the pages are numbered from 1 to 13. When you open the magazine to a random page, there are two possibilities for the page number: it can either be two or ten.

Page number in a magazine

In the context of a magazine, the page number refers to the physical numbering of the pages within the publication.

The page number is typically printed near the top or bottom of each page, allowing readers to navigate through the content.

In this case, if you randomly open the magazine to page two, you will find the content printed on that page. Similarly, if you randomly open the magazine to page ten, you will find different content printed on that page.

PLEASE ANSWERRRRRRRRR

A student is making a model of the electromagnetic spectrum.

Which text should the student use for label 1 to describe other properties of waves shown?

A. HIGH FREQUENCY, LOW ENERGY
B. LOW FREQUENCY, LOW ENERGY
C. LOW FREQUENCY, HIGH ENERGY
D. HIGH FREQUENCY, HIGH ENERGY

Answers

Yo sup??

the correct answer to this question is option B ie

low frequency and low energy because

it's wavelenght is high so it's frequency will be low and

E=hv

where v is frequency

Hope this helps

Explain how this method is correct...2 times 3 is 6, and 6 times 5 is 30.

Answers

2 can be multiplied by 3 and it will always give you 6

Answer:

this method is correct because of the PEMDAS

Step-by-step explanation:

2y-6x=12 what is it in slope intercept form

Answers

Answer:y=3x+6

Step-by-step explanation:

Where would you use an inequality in the real world

Answers

Answer: Good question, ill answer in the comments

Step-by-step explanation:

Answer:

money problems

Step-by-step explanation:

let's say your in accounted and the most you've made a week is 150 the inequality would be

ñ<150

A cone has a volume V, radius r, and a height of 12 cm. A cone has the same height and 1/3 of the radius of the original cone. Write an expression for its volume.

Answers

Answer:

[tex]\displaystyle \frac{4r^2\pi }{9} \text{ cm}^3[/tex]

Step-by-step explanation:

      We will write an expression for the second cone's volume. Let r be equal to the radius of the first cone.

      The volume of a cone can be found with the following formula. Here, h is the height, r is the radius, and V is the volume.

             [tex]\displaystyle V=\frac{1}{3} \pi r^2h[/tex]

      We will substitute our given values and simplify.

             [tex]\displaystyle V=\frac{1}{3} \pi (\frac{1}{3}*r )^2(12)[/tex]

      Square.

             [tex]\displaystyle V=\frac{1}{3} \pi \frac{r^2}{9} (12)[/tex]

      Divide 12 by 3.

             [tex]\displaystyle V=\pi \frac{4r^2}{9}[/tex]

      Move π to the numerator.

             [tex]\displaystyle V=\frac{4r^2\pi }{9}[/tex]

The volume of the new cone, with the same height but one-third of the original radius, is represented by the expression (4 / 9)πr².

The volume of a cone is given by the formula V = (1/3)πr²h.

For a cone with a radius r and height 12 cm, its volume can be expressed as:

[tex]V = (\frac{1}{3})\pi r^2(12) = 4\pi r^2[/tex]

Now, consider a cone with the same height, but with 1/3 of the original radius. Let the new radius be (1/3)r. Using the volume formula again:

[tex]V = (\frac{1}{3})\pi (\frac{1}{3}r)^2(12) = (\frac{1}{3})\pi(\frac{1}{9}r^2)(12) = (\frac{12}{27})\pi r^2 = \frac{4}{9}\pi r^2.[/tex]

Thus, the expression for the volume of the new cone is (4 / 9) πr².

Please help ASAP! Will give brainlyest to best answer!​

Answers

Option B:

m∠C = 35°

Solution:

Given data:  

m(ar BD) = 30°  and m(ar AE) = 100°

To find the measure of angle C:  

We know that,

Angle formed by two intersecting secants outside the circle is equal to half of the difference between the intercepted arcs.

[tex]$m \angle C=\frac{1}{2}({arc} \ AE-{arc} \ BD)[/tex]

        [tex]$=\frac{1}{2}{( 100^\circ-30^\circ )[/tex]

        [tex]$=\frac{1}{2}\times {70^\circ[/tex]

       = 35°

m∠C = 35°

Option B is the correct answer.

Other Questions
Which one of the following is an example of misrepresenting product identification on your restaurant menu? Question 3 options: 1) serving maple-flavored syrup when you indicate on the menu that it is maple syrup 2) serving a bowl of soup that is the same size as a cup, yet charging a higher menu price for the bowl 3) indicating that a food item is home made when in fact you are serving a frozen, processed item 4) noting that a salad comes with an entre when in fact customers are required to pay an extra charge for it Why did Gulliver go to Glubbdubdrib?a.His ship was blown off course.c.He had an inaccurate map and landed there by mistake.b.He stopped there to get fruit and vegetables.d.He had time to kill while waiting for a ship to Luggnagg. What is the functionof the stem on a plant? Why may some continents look different on one map than on another? Which of the following is an example of the distributive property?(3 x 6) x 8 = 3 x(6 x 8)2 + (9-4) = (2+9) - 4(4 + 3)2 = (4 + 3)(4 + 3)5x (7 - 1) = (5 x 7) - (5 x 1)i Today everything in a store is for sale. THe store offers a 30% discount. The regualar price for a T-shirt is 18$. What is the discount price Find a(33) if the first term in the sequence is 3 and the common difference is -1. The Sugar Act of 1764: Group of answer choices was intended to generate revenue from the colonies. taxed sugar refined in the colonies. doubled the existing tax on molasses. aimed to reduce rum drinking in the colonies. legalized trade with the French West Indies. Florence Nightingale was a nursing pioneer who challenged prejudices against women and elevated the status of all nurses. Which statement accurately describes one of her accomplishments?a.She established the fact that nursing is the same as medicine.b.She promoted the addition of nursing education as part of a medical degree.c.She established the tenets of the American Red Cross.d.She promoted the publication of books about nursing and health care. Beverly went to the store to purchase instant hot chocolate mix for her family. A sign near the hot chocolate directed her to a specific aisle where she could purchase marshmallows. This is an example of a(n):______.a. cross-promotion. b. brand extension. c. co-brand. d. overlay. e. simultaneous promotion. Suppose 0.981 g of iron (II) iodide is dissolved in 150. mL of a 35.0 m M aqueous solution of silver nitrate. Calculate the final molarity of iodide anion in the solution, You can assume the volume of the solution doesn't change shen th s sove m Be sure your answer has the correct number of significant digits An angle measures 65.6 less than the measure of its complementary angle. What is themeasure of each angle? This is IXL w17 7th grade. Thanks! What event led to the Korean War?---- The estimated total manufacturing overhead cost is $200,000. The estimated total amount of the allocation base is 40,000 direct labor-hours. The actual total manufacturing overhead cost for the period is $220,000 and the actual direct labor hours worked on all jobs during the period is 41,000 hours. The total under-applied (over-applied) overhead for the period is:a. $20,000 under-appliedb. $20,000 over-appliedc. $15,000 under-appliedd. $15,000 over-applied How did President Polk plan to defeat Mexico? Mg+2N=??complete and balance it Awning windows can be 100% openable and are best used where extreme weather conditions require a tight seal when the window is closed, although these windows are in common use everywhere.1. True2. False If we were able to artificially alter the membrane permeability of pacemaker cells so that sodium influx is more rapid, ________. A) threshold is reached more quickly and heart rate would increase B) potassium channels compensate and no change in heart rate would occur C) heart rate would decrease, but blood pressure would rise due to the excess sodium present D) tetanic contraction would occur due to the short absolute refractory period of cardiac muscle Find an equation of the line. Write the equation in standard form. Horizontal; through (3,-9) Cameron wants to buy six video games all costing the same amount he has a $30 coupon and he can spend no more than $100 write an inequality to find the possible cost of each video game