There is an animal farm where chickens and cows live. All together, there are 59 heads and 184 legs. How many chickens and cows are there on the farm?​

Answers

Answer 1

Answer:

There are 33 cows and 26 chickens

Step-by-step explanation:

Problem Solving

This problem can easily be solved by using equations, but it's more fun to solve it through pure reasoning and arithmetics.

Let's imagine there are no cows on the farm. Just chickens. 59 chicken heads mean 59*2 = 118 legs.

Now let's take one chicken out and one cow in. The number of heads will remain the same, but now there are two more legs: 120 legs.

We are closer to the answer. The trick is to calculate how many chickens we have to exchange for cows knowing each change means two more legs.

Since we initially had 118 legs, we need to add 184 - 118 = 66 more legs.

62 more legs are 66/2 = 33 changes or 33 cows.

The number of chickens is 59 - 33 = 26

Answer: There are 33 cows and 26 chickens


Related Questions

You start a new job. After w weeks, you have (10w+110) dollars in your savings account and (36w+25) dollars in your checking account.

Answers

Answer:

(46w+135) dollars

Step-by-step explanation:

Given that,

Amount in savings account = (10w+110) dollars

Amount in checking amount = (36w+25) dollars

We need to find an expression that represents the total in both accounts. It is simply the sum of amount in the savings account and checking amount.

Sum = (10w+110) dollars + (36w+25) dollars

= (10w+36w) + (110+25)

= (46w+135) dollars

Hence, the required expression is (46w+135) dollars

What is the equation of a line that is parallel to -x + 3y = 6 and passes through the point (3, 5)?

Answers

Answer:

y = 1/3x + 4

Step-by-step explanation:

Make it into slope intercept form

3y = x + 6

y = 1/3x + 2

parallel = same slope

y = 1/3x + b, plug in (3,5)

5 = 1/3(3) + b, b = 4

y = 1/3x + 4

Mollie bought 12 packages of carrots for a total of $48. She realized she needed to purchase another 10 more packages. How much will she have spent IN ALL on the carrots?

Answers

Answer:

$88

Step-by-step explanation:

48/12= 4

for another 10 she pays another $40

Answer:

$88

Step-by-step explanation:

I need help with this question! Will mark brainliest :)

Answers

Answer:

A. -1/5

B. 8 gallons

C. 75 miles driven

Step-by-step explanation:

Part A is essentially just asking for the slope, which is written as a fraction with the numerator being the number of units the line goes up/down and the denominator being the number of units the line goes left/right. Because the line is going down from left to right, the slope is negative. The slope is -1/5.

Part B can be answered by simply looking at the graph and seeing where the line is at above 175 miles, which is 8 gallons.

Part C can be answered in the same way as Part B, by looking at where the line is at when level with 12 gallons, which is 75 miles driven.

what is the first step in solving this equation?
5x+7=12​

Answers

Answer:

Subtract 7 from 12.

Step-by-step explanation:

Answer:

subtract 7 from both sides.

5x = 5

x = 1


Consider this system of inequalities.
x + y<_-3
y Which graph shows the solution for this system?
y

Answers

Answer:

c

Step-by-step explanation:

Solve -3(3p - 6r)+12 where p = 3 and r = 2.

Answers

Answer:

21

Step-by-step explanation:

First we do the problem inside the (), 3 x p = 9, 6 x r = 12, 9 - 12 = -3.

Now we do the problem outside of the (), -3 x -3 equals 9 because 2 negatives make a positive. Then we add 9 to 12 to get 21 :D

(5x +40x +
+ 40x+31) = (x+7)

Answers

Answer:

Step-by-step explanation:

5x + 40x + 40x + 31 = x + 7

85x + 31 = x + 7

Bringing like terms on one side

85x - x = 7 - 31

84x = - 24

x = - 24/84 = 2/7

Amir ran the first 200-meter leg of the relay race with a speed of 8,260 millimeters per second. Ryder ran the last 200-
meter leg with an average speed of 930 centimeters per second. Who ran the race faster, and how much faster was that
person's speed to the nearest meter per second?
Amir ran approximately 1 meter per second faster than Ryder.
Ryder ran approximately 1 meter per second faster than Amir.
Amir ran approximately 104 meters per second faster than Ryder,
Ryder ran approximately 104 meters per second faster than Amir.

Answers

Answer:

its b my guys :)

Step-by-step explanation:

Answer:

It's b

Step-by-step explanation:

hop it help

HELP ME WITH THIS ASAP TYSM

Answers

Answer:

6 + 21r

Step-by-step explanation:

3 ( 2 + 7r )

3 ( 2 ) = 6

3 ( 7r ) = 21r

6 + 21r

Hope this helps dude ^-^

Answer: 6 + 21r

Step-by-step explanation:

distribute the 3 to each thing in the parentheses

so 3(2 + 7r) becomes

3(2) + 3(7r)

6 + 21r

What is the least amount of additional money Sofia can spend to get the sushi they need?

Answers

Answer:

$

Step-by-step explanation:

Need done soon as possible

Answers

Answer:

x = -9

Step-by-step explanation:

Applying midsegment theorem, we would have the following:

CB = ½(RT)

CB = x + 19

RT = x + 29

Plug in the values

x + 19 = ½(x + 29)

2(x + 19) = x + 29

2x + 38 = x + 29

Collect like terms

2x - x = -38 + 29

x = -9

Solve for x to make the proportion true.
*
22
44
6
X =

Answers

Where’s the equation?

HELP I'M SO CONFUSED! I'M TAKING MY FINAL AND I need HELP

Answers

Answer:

Y-int : 0, 17

AOS: -3

Vertex: -3, 26

Step-by-step explanation:

Using desmos

and then using that to find your information.

Answer:

The y-intercept is 0,17

The axis of symmetry is -3

The vertex is -3, 26

Step-by-step explanation:

I used Desmos, a graph calculator and then I input the given function. I've attached a picture of the graph below:

Please can someone help me

Answers

Answer:

C those who vote for the ballot tend to be from district 2

I have no use for them just take them pls

Answers

Noooooo wayssssssss

I wontttttttt

can someone plz help me on 2-13

Answers

2= 15x-35+20y

3= 4(4x-3)

4= 6(6x-1)

5= 24x-109

6= 7.5x+20y

Write the explicit formula for the sequence shown below
3, -3, -9, -15

Answers

Answer:

[tex]a_{n}[/tex] = 9 - 6n

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = - 3 - 3 = - 9 - (- 3) = - 15 - (- 9) = - 6

This indicates the sequence is arithmetic with explicit formula

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 3 and d = - 6 , thus

[tex]a_{n}[/tex] = 3 - 6(n - 1) = 3 - 6n + 6 = 9 - 6n

Plss do this too question

Answers

13. B
14. B
Hope this helps!!

Convert 9.63x10^-3 into Standard form ASAP!

Answers

Answer:

= .00963

Step-by-step explanation:

Move the decimal 3 places to the left.

= .00963

Find the percent increase. Round to the nearest percent.

From 89 books to 124 books

Answers

Answer:

139%

Step-by-step explanation:

divide 89 by 124 to get 1.393

Please help me, please please help ASAP!!!

Answers

basically u evaluate it into (3⁶y⁵)² then use the properties of exponents to simplify to (729y⁵)² and then ur answer is 729²y¹⁰ or in other words, 3¹²•y¹⁰ so ur answer is B.

Sociologists have found that information spreads among a population at an exponential rate. How do you think this happens? Describe a piece of good news circulating through your circle of friends or family. How is this exponential?

Answers

Answer: Because people talk about important information

Step-by-step explanation: like a virus, information spreads like wildfire. But good news that has spread around my community is that we have a bunch of motivated people looking forward to feeding the homeless and create a homeless shelter to get back on their feet. Thanks to flyers, friends, and family enough money was raised to successfully build a homeless shelter.

A man drops a stone from a bridge. How high is the bridge if the stone hits the water 4 seconds later

Answers

Answer: 4 feet

Step-by-step explanation:

Both roots of x^2 + Nx + 144 are equal to each other. Find all the possible values of N.

Answers

Answer:

N=+24,-24

Step-by-step explanation:

Well this is a quadratic equation and we can make further deductions using it's discriminant

b²-4ac=0

N²-4(1×144)=0

N²-576=0

N²=576

N=√576

N=+24,-24

The possible values of N are +24, and -24 if both roots of x² + Nx + 144 are equal to each other.

What is a quadratic equation?

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex]  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

It is given that:

The quadratic equation is:

x² + Nx + 144 = 0

Discriminant will be zero:

D = 0

b²-4ac=0

N²-4(1×144)=0

N²=576

N=√576

N=+24,-24

Thus, the possible values of N are +24, and -24 if both roots of x² + Nx + 144 are equal to each other.

Learn more about quadratic equations here:

brainly.com/question/17177510

#SPJ6

Solve the following linear inequality.
3 x - 15 5-6
A. x < 12
B.x > 12
C.x < -12 D.x > 12

Answers

Answer:

SOLVE FOR C

c=2−

x

6

x

2

3

,x

=0

SOLVE FOR X

{

x=

2−c

3

(

5−c

+

3

)

; x=

2−c

3

(−

5−c

+

3

)

,

x=−

2

1

,

 

c

=2 and c≤5

c=2

A rectangular auditorium seats 1855 people. The number of seats in each row exceeds the number of rows by 18. Find the number of seats in each row.

Answers

Answer:

53 seats per row

Step-by-step explanation:

Given that:

Capacity = 1855

Let number of rows = x

Hence, Number of seats per row = x + 18

The Area of auditorium = capacity

Area of rectangle = Length * width

1855 = x * (x + 18)

1855 = x² + 18x

x² + 18x - 1855 = 0

x² + 53x - 35x - 1855 = 0

x(x + 53) - 35(x + 53) = 0

(x - 35) = 0 or (x +53) = 0

x = 35 or x = - 53

Hence x = 35 ; (x can't be negative)

Number of seats per row = 35 + 18 = 53

Using a quadratic equation cal

HELP 60 PTS Write ln⁡〖(a^2 b^3)/cd〗 in expanded form. SHOW ALL WORK TO RECEIVE CREDIT.

Answers

Answer:

[tex]\frac{(a*a)(b*b*b)}{c*d}[/tex]

Step-by-step explanation:

[tex]\frac{a^{2} * b^{3}}{cd}[/tex]

A number to an exponent is the number times itself. A number to the "n"th power would be that number times itself "n" times.

This means that the fraction above could also be expressed as;

[tex]\frac{(a*a)(b*b*b)}{c*d}[/tex]

If these parameters, "a", "b", "c", and "d" are given a value, then one can solve this equation.

What is 14 x7/8
PLEAAAAASSSSSEEEEEEE HELP.

Answers

Answer:

49/4

Step-by-step explanation:

Answer: 12 1/4

Step-by-step explanation:

HELP ME WITH THESE 5 QUESTIONS AND I¨LL CASHAPP YOU 55$ ANSWERS MUST BE ALL CORRECT PLZ AND THANK YOU:)

Answers

Answer:

What type of math is this

Step-by-step explanation:

algebra?

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