Jessie lives in a farm and only has 2 animals, chickens and rabbits. One day he decided to count the total number of heads and legs of his animals. He told his friends that there were 30 heads and 76 legs in all.
How many chickens does Jessie have on his farm?
How many rabbits does Jessie have on his farm?

Answers

Answer 1

Let x represent number of rabbits and y represent number of chickens.

We have been given that Jessie told her friends that there were total 30 heads for both animals. This means that there are total 30 animals.

[tex]x+y=30...(1)[/tex]

[tex]y=30-x...(1)[/tex]

We have been given that Jessie only had chicken and rabbits. We know that a rabbit has 4 legs, so total number of legs for x rabbits would be [tex]4x[/tex].

We know that a chicken has 2 legs, so total legs of y chickens would be [tex]2y[/tex].

Since all animals has 76 legs in all, so we can represent this information in an equation as:

[tex]4x+2y=76...(2)[/tex]

Upon substituting equation (1) in equation(2), we will get:

[tex]4x+60-2x=76[/tex]

[tex]2x+60=76[/tex]

[tex]2x+60-60=76-60[/tex]

[tex]2x=16[/tex]

[tex]\frac{2x}{2}=\frac{16}{2}[/tex]

[tex]x=8[/tex]

Therefore, Jessie have 8 rabbits on his farm.

Number of chickens would be [tex]y=30-x\Rightarrow 30-8=22[/tex].

Therefore, Jessie have 22 chickens on his farm.


Related Questions

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Answers

Answer:

1/8 maybe

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

The length of a rectangle is six times its width.
If the perimeter of the rectangle is 112 ft, find its area.

Answers

Answer:

Area = 48*8=384 sq. in

Step-by-step explanation:

Perimeter = 112

Length 6x

Width =x cm

Perimeter = 2(6x+x)

Perimeter = 14x

112 = 14x x=

8 in Width

Length = 6*8=48 in

Area = 48*8=384 sq. in

Did this kinda fast but I hope it helped XD

Length of the rectangle = 48ft

Width of the rectangle = 8ft

Area of rectangle = 384 ft²

What is rectangle?

Rectangle is a shape with four straight sides and four angles of 90 degrees (right angles). Two of the sides are longer than the other two.

Given,

Length of a rectangle is six times its width

Let width is x then length is 6x

Perimeter of rectangle = 112 ft

Perimeter of rectangle = 2(Length + Width)

2(Length + Width) = 112

2(x + 6x) = 112

7x = 56

x = 8

Width = 8 ft

Length = 6 × 8 = 48 ft

Area of rectangle = length × width

                             = 48 × 8

                             = 384 ft²

Hence, 8ft is width and 48ft is length of the rectangle. 384 ft² is the area of rectangle.

Learn more about rectangle here:

https://brainly.com/question/29123947

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A charity is holding a raffle and sells 2000 tickets for $2 each. One ticket will win a grand
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Find the expected value if you buy one raffle ticket.

You would expect to lose $1.80 for each ticket purchased
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Answers

Answer:

Lose $1.70 for each ticket you purchase

Step-by-step explanation:

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$0.25 + $0.05 - $2

-$1.70

A school newspaper took a survey of 100 students. The results of the survey showed that 43 students are
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Answer:

100

Step-by-step explanation:

Find the missing angle.

Answers

Answer:

127

Step-by-step explanation:

Answer:

x= 127 degrees

Step-by-step explanation:

use the vertical angles theorem to say that x=90*+37*. So, x=127 degrees.

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Answers

I’m not positive but do 53 times 640 and you should get the answer

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And if this helps I'll add the screenshot I took of it.

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Answers

the answer is, no.. she is not correct.

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she multiplied 5 and 2 = 10

then subtracted by 6.

so she got 4.

but, this how you do it.

subtract 9 and 6, equaling 3.

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Step-by-step explanation:

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Answers

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In this case, there are 3 choices of food items and 3 choices of drinks.

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Step-by-step explanation:

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Answer:

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=> HN/LR = HB/LY

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There is no answer to select. But I still believe there is no mistake in my calculation.

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:)

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Answers

Answer:

C. 24 degrees

Step-by-step explanation:

All triangle must be 180 degrees in total. So you have to add all the known degrees together to find the missing degree.

120+36=156

Then subtract the sum of the known angles from 180 to find the degree of the unknown angle

180-156=24

Answer: C

Step-by-step explanation:

I'll explain why.

The sum of the angles in a triangle must be equal to 180º. We already know 2 of the 3 angles, therefore, we can make an equation to find x.

The sum of the angles (x+36+120) must be equal to 180 (=180)

x+36+120=180

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Step-by-step explanation:

A tower is composed of a prism with a square base and
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Step-by-step explanation:

Answer:

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Step-by-step explanation:

Answer:

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is this what you were looking for?

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I thought it was 1

Step-by-step explanation:


If f(x)=x-1/3 and g(x) = 3x+1, what is(fºg)(x)?

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Answer:

(fog)(x)=18x+1029x+1. (gof)(x)=27x+87x−8. Explanation: Given: f(x)=3x−12x+5 and g(x)=7x+33x−1. Solution for (fog)(x).

Step-by-step explanation:

Answer:(fog)(x)=18x+1029x+1. (gof)(x)=27x+87x−8. Explanation: Given: f(x)=3x−12x+5 and g(x)=7x+33x−1. Solution for (fog)(x).

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Answer:

D) 20%

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Answer: The answer is  B. 25%

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Step-by-step explanation:

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Answer:

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step-by-step explanation:

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Answers

Answer:

x=12

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Answers

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

(10,11)

(8,7)

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Answer: the image of how its supposed to be graphed is listed down below! hope this helped!

Step-by-step explanation:

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Solve for K: 40 + K = 56
K=

Answers

Answer:

k=16

Step-by-step explanation:

To solve this, we can isolate k.

40+k=56.

We can do this by subracting 40 from both sides.

40+k-40=k

56-40=16

k=16

Steps for solving:

First isolate or get k by itself by subtracting 40 from both sides.

That leaves us with k = 16.

To check our answer, substitute 16 back into the equation.

So we have 40 + (16) = 56 or 56 = 56.

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Answers

Answer:

The description that best compares the graph of the two function is:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

Answer:

The answer is 36 squared centimeters

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Answer:

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Step-by-step explanation:

Answer:

r=−3,11/2

Step-by-step explanation:

thats what I got

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Answers

look at the graph at which x=3, then look and see what value y is and that will give you f(3).

Answer:

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Step-by-step explanation:

up there

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