Old McDonald had a farm. In one pen the old farmer had chickens and bulls together. In that pen there were 40 animals in total, but there were 130 legs. Can you figure out how many chickens and bulls are in that pen?

Answers

Answer 1

Answer:

There are 15 numbers of chicken and 25 numbers of bulls.

Step-by-step explanation:

The pen had chickens and bulls.  The pen contains 40 animals in total. The number of legs in the pen is 130 .

Let

a = number of chicken

b = number of bull

a + b = 40................(i)

A chicken has 2 legs and a bull has 4 legs.

The total legs can be represented as

2a + 4b = 130...........(ii)

combine the equation

a + b = 40................(i)

2a + 4b = 130...........(ii)

a = 40 - b

insert the value of a in equation(ii)

2(40 - b) + 4b = 130

80 - 2b + 4b = 130

80 + 2b = 130

2b = 130 - 80

2b = 50

divide both sides by 2

b = 50/2

b = 25

Insert the value of b in equation (i)

a + b = 40

a + 25 = 40

a = 40 - 25

a = 15

There are 15 numbers of chicken and 25 numbers of bulls.


Related Questions

Louise spins the spinner twice. What is the probability of spinning first orange and then blue?

Answers

It depends on what the portion is for orange and blue, you will need to put a picture

Help will be appreciated

Answers

Answer:

50.24 cubic feet

Step-by-step explanation:

Diameter = 8 feet

Radius (r) = 8/2 = 4 feet

Height (h) = 3 feet

[tex]V_{cone} = \frac{1}{3} \pi {r}^{2}h \\ \\ = \frac{1}{3} \times 3.14 \times {4}^{2} \times 3 \\ \\ = 3.14 \times 16 \\ \\ = 50.24 \: {feet}^{3} [/tex]

SOMEONE PLEASEEEE HELP MEE will mark you brainliest

Answers

A.
Multiple the vector points by 2

In Albany, NY, the morning temperature was -20 degrees Fahrenheit. The
high temperature for that day was 2 degrees Fahrenheit. What was the
difference between the high and low for that day?


A: -22
B: 22
C: -18
D:18​

Answers

Answer:

-18

Step-by-step explanation:

-20 - 2/ -20 + 2 = -18

Answer:

Step-by-step explanation:

-18

someone please help fast I will mark as brainelist

Answers

Answer:

1.economics 2.endangered species 3. environmental  impact statement

Step-by-step explanation:

sry if its wrong i did it really fast

Help please my brain hurts

Answers

Answer:

Do it yourself

Step-by-step explanation:

33 is the answer I hope it helped you!!!

The area of a room is 55.929 square meters. If its width is 5.43 meters, what is its length

Answers

Look at the attached picture

Hope it will help you...

Please answer correctly !!!! Will mark brainliest !!!!!!

Answers

Answer:

-12

Step-by-step explanation:

-6 f(-3) - 5 g(-7)

f(-3) is the value of the function at -3

f(-3) = -3

g(-7) is the value of the function at -7

g(-7) = 6

-6 (-3) - 5 *6

18 - 30

-12

Find x round to the nearest tenth

Answers

Answer:

x = 17.9

Step-by-step explanation:

tan theta = opposite side/ adjacent

tan 40 = 15 /x

x =  15 / tan 40

x =17.87630389

To the nearest tenth

x = 17.9

What is the arc length of arc ABC in red? You may use 3.14 to estimate an
answer or the letters pi

Answers

you got this I believe in you

Identify the polar coordinates for each value in the table below, discuss the shape and behavior of the graphs, and use this to graph the equation of r=2 cos⁡〖3θ.〗
Symmetry hint: see if the equation is true for the following:
the line θ = 90°: replace (r, θ) with (r, 180° – θ) or (-r, -θ)
the polar axis: replace (r, θ) with (-r, 180° – θ) or (r, -θ)
the pole: replace (r, θ) with (r, 180° + θ) or (-r, θ)

Answers

Answer:

we know that

the relationship between the 2-dimensional polar and Cartesian coordinates is

r = √(x² + y²)

Θ = tan⁻¹ (y/x)

so

Part a) (2, −2)---------> this point belong to the IV quadrant

r = √(x² + y²)------ r = √(2² + (-2)²)-----> r=√8

Θ = tan⁻¹ (y/x)---- Θ = tan⁻¹ (2/2)----> 45°

remember that the point belong to the IV quadrant

so

Θ=360-45-----> Θ=315°

the answer part A) is 

(r,Θ)=(√8,315°)

Part b) (-1, 3)---------> this point belong to the II quadrant

r = √(x² + y²)------ r = √(-1² + (3)²)-----> r=√10

Θ = tan⁻¹ (y/x)---- Θ = tan⁻¹ (3/1)----> 71.57°

remember that the point belong to the II quadrant

so

Θ=180-71.57-----> Θ=108.43°

the answer part B) is 

(r,Θ)=(√10,108.43°)

mark me branlest plz hope it helps

The answers are a) (r,θ) = (√8,315°) and b) (r, θ) = (√10,108.43°).

The relationship between the 2-dimensional polar and Cartesian coordinates is

r = √(x² + y²)

θ = tan⁻¹ (y/x)

so,

A) (2, −2 belongs to the IV quadrant,

r = √(x² + y²)

r = √(2² + (-2)²

r=√8

θ = tan⁻¹ (y/x)

θ = tan⁻¹ (2/2)

= 45°

The point belongs to the IV quadrant,

so,

θ = 360-45

θ = 315°

Therefore,

(r,θ) = (√8,315°)

B) (-1, 3) belong to the II quadrant,

r = √(x² + y²)

r = √(-1² + (3)²)

r = √10

θ = tan⁻¹ (y/x)

θ = tan⁻¹ (3/1)

= 71.57°

The point belongs to the II quadrant ;

so,

θ = 180-71.57

θ = 108.43°

Therefore,

(r, θ) = (√10,108.43°)

Learn more about polar coordinates click;

https://brainly.com/question/31904915

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A particle traveled the distance of 6.6×[tex]10^{-19}[/tex] meters a a rate of 3.3×[tex]10^{-34}[/tex]. If distance equals rate times time, how many seconds did it take the particle to travel the specified distance?
A. 5.0x[tex]10^{14}[/tex] seconds
B. 2.0x[tex]10^{15}[/tex] seconds
C. 2.0x[tex]10^{-53}[/tex] seconds
D. 5.0x[tex]10x^{-53}[/tex] seconds

Answers

Answer:

Distance (D) equals rate (R) times time (T): D = R x T

=> T = D/R = 6.6 x 10^-19/(3.3 x 10^-34) = 2 x 10^15 (m)

=> Option B is correct

Hope this helps!

:)

The line graph shows the number of goals scored
by a team in 18 games.

a) In how many games were zero
goals scored?
Number of games

b) Altogether, how many goals did
the team score in the 18 games?

c)What was the median number
of goals that the
team scored?​

Answers

Answer:

a) 1 game

b) 41 goals

c) median = 2

Step-by-step explanation:

a)

As we can see in the line graph, where we have the 0 for the number of goals scored, the graph indicates only 1 in the number of games, so we have only 1 game where no goals were scored.

b)

To find the total number of goals scored, we multiply the goals scored by the number of games for that score, and then sum them all:

total goals = 1*0 + 4*1 + 5*2 + 6*3 + 1*4 + 1*5 = 41 goals

c)

To find the median, we put all the goals in crescent order, and then find the value in the middle. As we have 18 games, the middle value will be an average of the 9th and 10th terms.

We have 1 number 0, 4 numbers 1 and 5 numbers 2 in the beginning, so for these 10 numbers, the 9th and the 10th are the score 2, so the median is 2.

Answer:

Step-by-step explanation:

its d

what is 8% of 1,000?

URGENT!! :(

Answers

Answer:

Step-by-step explanation:

8% of 1,000 is 80

if you multiply 1000 by the decimal form of 8% (0.08) you will get 80

1,000*0,08=80

Answer:

the answer is 80.

Step-by-step explanation:

Multiply 0.08 with 1000

Mr. Jonson’s students want to know his age. He tells them that this year his age is a multiple of 9, and next year it will be a multiple of 4. a What’s Mr. Jonson’s age?

Answers

Answer:

27

Step-by-step explanation:

28/4 = 7

27/9 = 3

Part A: What is the slope of the line?

Part B: What does the slope mean for this problem?

Part C: What is the Y-Intercept?

Part D: What does the Y-Intercept mean for this problem?

Part E: Write an equation for this function in slope-intercept form.

Thank you !! :)

Answers

Answer:

part A : slope equals 3

part B : It takes 3 hours for a change in temperature

part C : -6

part D : the initial temperature was -6°C

part E : Y = 3X - 6

Find the volume of the sphere. Either enter an exact answer in terms of pi or use 3.14 for pi and round your final answer to the nearest hundredth.

The radius is 7

Answers

Step-by-step explanation:

Volume = 4/3 × [tex]\pi[/tex] r³

Volume = 4/3 × 3.14 × 7 × 7 × 7

Volume = 1436.03 cm³

The volume of the sphere with a radius of 7 units is 457.33π cubic units

Volume of a sphere

A sphere is a solid 3-dimensional figure. The volume of a sphere is expressed as:

V = 4/3πr^3

where:

r is the radius of the sphere:

Given the following

r = 7 units

Substitute the given parameters

V = 4/3(π) * 7^3

V = 4/3 * π * 343

V = 1372π/3

V = 457.33π cubic units

Hence the volume of the sphere with a radius of 7 units is 457.33π cubic units

Learn more on volume of sphere here: https://brainly.com/question/10171109

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Use the triangle to evaluate each function.
sin(A) =
tan(A) =
sec(A) =

Answers

Answer:

sin (A) = opposite / hypotenuse = BC / AB = 3/5

tan (A) = opposite / adjacent = BC / AC = 3/4

sec (A) = hypotenuse / adjacent = AB / AC = 5/4

Step-by-step explanation:

Part I

sin(A)= 3/5

tan(B)= 3/4

sec(A)= 5/4

Part II

B. cot(B)

Step-by-step explanation:

The volume of a cylinder is 4,320(pi) ft?. The diameter is 24 ft. What is the height of the cylinder?
30 ft
7.5 ft
12 ft

Answers

ANSWER

the height is 30 ft

Consider all of the four-digit numbers that can be formed using the digits 1, 2, 3, and 4 when no digit is used twice. What is the probability that one of these numbers, when chosen at random, is between 2000 and 3000?

A. 20%



B. 25%



C. 33 %



D. 50%
Please help I’ll give brainliest

Answers

Answer:

Option B

Step-by-step explanation:

Given: all the four-digit numbers are formed using the digits 1, 2, 3, and 4 such that no digit is used twice

To find: probability that number chosen lies between 2000 and 3000

Solution:

Probability refers to chances of occurring of some event.

Total number of numbers formed using digits 1, 2, 3, and 4 = [tex]4\times 3\times 2\times 1=24[/tex]

Numbers between 2000 and 3000 start with 2. So, first digit is fixed as 2. For remaining three digits, possibilities are 4, 3, 1

So, total number of numbers lie between 2000 and 3000 = [tex]3\times 2\times 1=6[/tex]

Probability that number chosen lies between 2000 and 3000 = total number of numbers lie between 2000 and 3000/Total number of numbers formed using digits 1, 2, 3, and 4 = 6/24 = 1/4

In percentage form, Probability that number chosen lies between 2000 and 3000 = [tex]\frac{1}{4}(100)=25\%[/tex]

Probability that a four digit number formed from 1,2,3,4 is between 2000 & 3000 = 25%

Calculation of Probability

Total number of four digit numbers that can be formed by digits 1,2,3,4  (without repetition)

Possible outcomes for first digit = 4

Possible outcomes for second digit = 3

Possible outcomes for third digit = 2

Possible outcomes for fourth digit = 1

So, total ways in which mentioned 4 digit number can be formed = 4 x 3 x 2 x 1 = 24 ways

When number is between 2000 & 3000, it starts from digit 2

So, possible outcome for first digit = only 1 ( ie digit 2)

Possible outcomes for second digit = 3

Possible outcomes for third digit = 2

Possible outcomes for fourth digit = 1

So, total ways in which 4 digit number starting from digit '2' can be formed = 1 x 3 x 2 x 1 = 6 ways

Probability = Favourable outcomes / Total outcomes

6 / 24 = 0.25 = 25%

To learn more about Probability, refer https://brainly.com/question/743546?referrer=searchResults

Which expression gives the distance between the points (1, -2) and (2, 4)?

Answers

Answer: D

Step-by-step explanation:

The expresion of distance is [tex]d=\sqrt{(x_1-x_2)^2 +(y_1 -y_2)^2}[/tex]

if i have 1000 dollars and use all of it to buy a lot of Pokemon card packs that cost 4.12$ each.

How many packs will i have

Answers

Answer:

See answer below

Step-by-step explanation:

You could buy 242 packs but not enough to buy 243 because you can't have half of a pokemon card

Hope this helps :)

Answer:

242

Step-by-step explanation:

That is a lot

Calculate the area of the rectangle with a base of 15 inches and and an altitude of 7 inches

Answers

Answer:

a

Step-by-step explanation:

it hs explanasion

Which one of these is the correct unit of measurement in finding volume?

Group of answer choices

square centimeter

cubic meter

inch

feet cubic

Answers

Answer:

feet cubic

Step-by-step explanation:

Answer:

the last one, feet cubic

Step-by-step explanation:

The smallest hummingbird is the Bee hummingbird. It has a mass of about 1
1
2
grams. The mass of a larger type of hummingbird is about 5 times the mass of the Bee hummingbird.

Answers

This question is incomplete and has not be written correctly.

Complete Question:

The smallest hummingbird is the Bee hummingbird. It has a mass of about 1 1/2 grams. The mass of a larger type of hummingbird is about 5 times the mass of the Bee hummingbird.

What is the mass of the larger humming bird?

Answer:

7 1/2 grams

Step-by-step explanation:

The mass of Bee humming bird is given in the question as = 1 1/2 grams

Mass of the larger humming bird = 5 times the mass of Bee humming bird

The mass of the larger humming bird is calculated as:

5 × 1 1/2 grams = 5 × 3/2 grams

= 15/2 grams = 7 1/2 grams

Therefore, the mass of the larger humming bird is 7 1/2 grams

An accountant used to charge $30 per hour, but recently decided to charge 20% less. Now how much does she charge per hour?

Answers

$24

Step-by-step explanation:

Answer: 24

Step-by-step explanation: First you have to find out what 20% of 30 is. Then you subtract that 20%(6) from thirty giving you the answer of 24

If the area of a circle is 25 pi, find the length of an arc with a central angle of 240? Any help is appreciated please.

Answers

Answer:

11.81pi

Step-by-step explanation:

r^2=25pi

r=8.86

length=2pi(8.86)(240/360)

=17.72pi(2/3)

=11.81pi

2. If a toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet

per second, then its height h after t seconds is given by the equations h(t) = -16° +128t (if air

resistance is neglected).

a. How long will it take for the rocket to return to the ground?

b. After how many seconds will the rocket be 112 feet above the ground?

C. How long will it take the rocket to hit its maximum height?

d. What is the maximum height?

Answers

Answer:

a. 8 seconds.b. 1 second and 7 seconds.c. 4 seconds.d. 256 feet.

Step-by-step explanation:

The given function is

[tex]h(t) = -16t^{2}+128t[/tex]

The image attached shows the trajectory of the rocket in a height-time graph. Notice that the maxium point reached is (4, 256), which means after 4 seconds, the rocket has a maximum height of 256 feet. (c) and (d)

Additionally, a parabola is symmetrical, which means it takes the same time going up or down, therefore the rocket reaches the ground after 8 seconds. (a)

Now, when the rocket is 112 feet above the ground, we have

[tex]112 = -16t^{2}+128t[/tex]

Where we need to solve for [tex]t[/tex]

[tex]0 = -16t^{2}+128t-112[/tex]

Using a calculator, we have the solutions [tex]x_{1}= 1[/tex] and [tex]x_{2}=7[/tex], which means after 1 second and 7 second, the rocket is 112 feet above the ground. (b)

Please help me !!!!! I’ll mark the brainliest

Answers

Answer:

Step-by-step explanation:

Answers:

1: Yes, a polynomial (I'm going from left to right top to bottom)

2:  Yes, a polynomial

3. Yes, a polynomial

4. Yes, a polynomial

5. No, not a polynomial

6. No, not a polynomial

Sorry this took so long!

25. In the diagram, CT = 10.
What is the length of AB?

Answers

Answer:

The length of AB is 4.33012701892

Step-by-step explanation:

1. You find 10*sin(60 degrees), because sin(60 degrees) =  x/CT, and CT = 10. That means that sin(60 degrees) = x/10. You multiply by 10 on both sides, which would mean that x = 10sin(60 degrees) and that AT = 8.66025403784 because x is AT.

2. Then, because the relation between AT and AB and Angle T is sine, you use cosine to find x. If you do that, you find that the equation is sin(30 degrees) = x/8.66025403784. That means that 8.66025403784*sin(30 degrees) = x. If you calculate that, you find that x = 4.33012701892, and AB is x.

I think it’s 5 according to the 30,60,90 degree rule
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