A chicken farmer also has cows for a total of 30 animals, and the animals have 66 legs in all. How many chickens does the farmer have?

Answers

Answer 1

Answer:

27 chickens

Step-by-step explanation:

A chicken farmer also has cows for a total of 30 animals

Both animals have a total of 66 legs

Let a represent the number of chicken

Let b represent the number of cows

a + b= 30........equation 1

Since a chicken has only two legs and a cow has four leg then, the expression can be represented as

2a + 4b= 66........equation 2

From equation 1

a + b= 30

a = 30-b

Substitute 30-b for a in equation 2

2a + 4b= 66

2(30-b) + 4b= 66

60 - 2b + 4b= 66

60 + 2b= 66

2b= 66-60

2b= 6

b= 6/2

b= 3

Substitute 3 for b in equation 1

a + b = 30

a + 3=30

a= 30-3

a= 27

Hence the farmer has 27 chickens


Related Questions

Given the equation a = 2(b + 6) - 10, find the value of b when a = -18.

Answers

Answer:

-10=b

Step-by-step explanation:

-18=2(b+6)-10

-18=2b+2

-20=2b

-10=b

Evaluate each function: 1. p(a) = 3a-2; find p(-5) 2. h(t) = 4t+2; find h(-4) 3. f(a) = 3a-4; find f(1) 4. g(x) = 3x+ 1; find g(-9) 5. k(x) = x-1; find k(5) 6. f(x) = x+1; find f(7) 7. h(t) = 4t+2; find h(-8) 8. g(x) = 2x=1; find g(2) 9. w(a) = a+4; find w(9) 10. g(n) = 4n+2; find g(-9)

Answers

A-2x = 45 explained the theropod waysiver

Solve for y 46=2y Simplify your answer as much as possible...

Answers

Answer:

23

Step-by-step explanation:

2y=46

y=46/2

y=23

hope this helps!!

Answer:

Y=23

Step-by-step explanation:

If you follow pemdas then you know you have to divide both sides by 2 because its oppisite and when you divide 46 by 2 you get 23 and 2y divided by 2 would be 1y also just known as y and your answer is 23=y

Identify the property that justifies each step asked about in the answer area below. Line 1: \text{Line 1: }\phantom{=}Line 1: = 4(8+9x)\,\,4(8+9x)4(8+9x) Line 2: \text{Line 2: }\phantom{=}Line 2: = 4(9x+8)\,\,4(9x+8)4(9x+8) Line 3: \text{Line 3: }\phantom{=}Line 3: = 36x+32\,\,36x+3236x+32 Line 1 to Line 2: Line 2 to Line 3:

Answers

Answer:

1. Commutative Property of Addition

2. Distributive property

Step-by-step explanation:

Given

[tex]Line 1: 4(8+9x)[/tex]

[tex]Line 2: 4(9x+8)[/tex]

[tex]Line 3: 36x+32[/tex]

Required

Justify each step

From Line 1 to 2:

The property from Line 1 to 2 depicts [tex]a + b = b + a[/tex];

i.e.

[tex]4(8 + 9x) = 4(9x + 8)[/tex]

This is referred to as Commutative Property of Addition

From Line 2 to 3:

The property here depicts [tex]a(b + c) = a * b + b * c[/tex]

i.e.

[tex]4(9x + 8) = 4 * 9x + 4 * 8[/tex]

[tex]4(9x + 8) = 36x + 32[/tex]

This is referred to as Distributive property

Answer:

Line 1 to Line 2: Commutative Property of Addition

Line 2 to Line 3: Associative Property of Addition

Step-by-step explanation:

does that answer anything

k( 3х - 2) = 4 - 6x

Answers

Answer:

k=-2

Step-by-step explanation:

k(3x-2)=4-6×k(3x-2)=-2(3x-2)k=-2

Evalute j/4 when j = 12

Answers

Answer:

3

Step-by-step explanation:

j/4

Let j = 12

12/4

3

3c = 18 do I multiply 3 by 6

Answers

Answer:

to find c you divide 18 by 3 to find that c = 6

Answer:

c would equal 6

Step-by-step explanation:

3(6) = 18

A girl is 6 feet tall and casts a shadow that is 4
feet long. A building casts a shadow that is 40
feet long. How tall is the building?

Answers

Answer:

60 ft tall

Step-by-step explanation:

tall          |     6       |      x  

shadow  |     4       |    40  

4 times 10 = 40

6 times 10 = 60

Answer:

60 ft tall

Step-by-step explanation:

Determine the domain of the following graph:

Answers

Answer and explanation:

The domain would be [-9,3]. A closed circle lets you know if you will have to put parenthesis or a bracket when writing the domain. You can use every number between -9 and 3, including -9 and 3.

The domain of the given graph is  -9 ≤ x ≤ 3.

What is domain ?

The domain of a function f is the set of all values of x for which f(x) is defined and real.

Now from the given graph it is seen that the graph runs from -9 to 3 on x-axis.

and it is known that the domain of the graph is the set of all possible values of x.

Hence the required domain the given graph is written as,

-9 ≤ x ≤ 3

Thus, the domain of the given graph is  -9 ≤ x ≤ 3.

To learn more about domain of the graph :

https://brainly.com/question/20035161

#SPJ2

There were f frogs in a pond. 88 of the frogs hopped away. Write an expression that shows how many frogs are in the pond now.

Answers

Answer: f - 88 = p

Step-by-step explanation:

f = frogs

p = how many frogs in pond now

F - 88 = p

Hope this helps

Plz mark brainlest

Can you help me with the problem listed in the pictures below? Please and thank you. Will mark BRAINLIEST!!! :)

Answers

Answer:

24

Step-by-step explanation:

if u subrtact 207-15 u will have 192 i divided that by 8 and got 24

Reminders? The answer?

Answers

Answer:

67, no remainder.

Step-by-step explanation:

Answer:

67, no remainder.

Step-by-step explanation:

Please help ASAP! Will give brainliest if correct!

Answers

Answer:

you are trying to get up to 180 ( a straight line is 180 degrees).

So 26+32 =58 and go through your answer choices to see which one adds up to 180

and it that case your answer would be A 122+58=180

Step-by-step explanation:

Long division is completed using the standard algorithm for division,
O True
O False

Answers

The answer is true
Good luck

The students at Woodward Elementary voted for a school mascot. The falcon won with 58 of the votes. If 536 students voted for a mascot, how many students voted for the falcon?

Answers

Answer:

335 people

Step-by-step explanation:

Answer:

335

Step-by-step explanation:

The area of the star shaped surface of this block is 1.2m^2. The thickness of the block is 25cm. What is the volume of the block?

Answers

Answer:

volume = 0.30 m³

Step-by-step explanation:

GIVEN:

The area of the star shaped surface of this block is 1.2m^2.

The thickness of the block is 25cm.

FIND:

What is the volume of the block?

SOLUTION:

volume = area x length

where area = 1.2 m²;   length = 0.25 m

plugin values into the formula:

volume = 1.2 m² x 0.25 m

             = 0.30 m³

therefore, the volume of the star shaped block is 0.30 m³

What is the slope of 0,0 8,24

Answers

Answer:

m=3

Step-by-step explanation:

:D

Answer:

m ≈ 3

Step-by-step explanation:

hope this helps!

~mina

A recipe requires 1/3 cup of milk for each 1/4 cup of water. How many cups of milk per cups of water are there?
1/7 cups of milk per 1 cup of water
1/12 cups of milk per 1 cup of water
3/4 cups of milk per 1 cup of water
4/3 cup of milk per 1 cup of water
OC

Answers

1/3 / 1/4 = 1/3 x 4/1 = 4/3

A farmer has 180 yards of fencing material to make a rectangular
pen subdivided into 3 smaller pens. If the total length of the pens
is to be 60 yards, at most, how wide can the rectangle be?

Answers

Answer: 60 yd

Step-by-step explanation:

Here: subdivided into 3 smaller pens (2w + w + w) extra widths for separation purposes (3 smaller pens)

180 yards of fencing material

180yd = 2L + 4w

180dy = 2*60 + 4w

60dy = 4w

w = 15yd, how wide can the rectangle can  be with L = 60yd

You estimate that there are 76 marbles in a jar. The actual amount is 81 marbles. Find the percent error. Round to the nearest tenth of a percent if necessary.

Answers

You were 6.71% off. Hope that helps

Numbers absolute value of 12?

Answers

Answer:

12

Step-by-step explanation:

absolute value of a positive number remains that way

Which is NOT true?
A
10 + 9 = 7 + 12
B.
10 = 10
c
10 - 4 = 3 + 3
D.
10 = 19 - 11

Answers

Answer:

D

Step-by-step explanation:

BECAUSE  19-11 ISNT 10

Answer:

D. 10= 19-11

Step-by-step explanation:

A. 10+9=19 and 7+12= 19

B. 10=10

C. 10- 4 = 6 and 3+3=6

D.19-11=8 not 10

HELP AND OYU CAN HAVE ZA WORLDU
Simplify 8 − (14).

Answers

Answer:

When you simplify it you would get 2.

Step-by-step explanation:

find the value of 4x ssquared - 2y when x=3 =2

Answers

What is the value of y in this problem? is it 2?

Answer:

Since x=3 and y=2, plug into the equation.

4(3)²-2(2)

= 4(9)-4

= 36-4

= 32

Help ASAP please I would really appreciate it thank you

Answers

Answer:

the answer would be line AC

Step-by-step explanation:

the reason. for this is because a segment is a line with two endpoints, and line AC fits that description.

solve for x:
2x+4=16

Answers

Answer:

6

Step-by-step explanation:

2x+4=16

2x=12

x=6

Answer: x = 6

Step-by-step explanation: To solve for x, we must first

isolate the term containing x, which in this problem is 2x.

Since 4 is being added to 2x, we subtract 4

from both sides of the equation to isolate the 2x.

On the left, the +4 and -4 cancels

out and on the right, 16 - 4 is 12.

So we have 2x = 12.

Then just divide both sides by 2 so x = 6.

How do you Factor 6y^2-5y-21

Answers

Answer:

(2y+3) (3y-7)

hope it helps;)

Answer:

(2y+3)*(3y-7)

Step-by-step explanation:

6y^2+9y-14y-21

3y(2y+3)-7(2y+3)

(2y+3)*(3y-7)

4x + 5 = 2x
Helpp please

Answers

Answer:

x=-2.5

Step-by-step explanation:

Answer:

x=  -5/2

Step-by-step explanation:

i just did scratch work an figured it out.. Lemme kno if u need ore help-..:):)

solve for d:
4−d<4+d

Answers

Answer:

d > 0

Step-by-step explanation:

Find the quotient using polynomial long division:

1. (50y^3+10y^2-35y-7)divided by(5y-4)

2. (8m^4-4m^2+m+4)divided by(2m+1)

Answers

(1) [tex]50y^3=5y\cdot 10y^2[/tex], and

[tex]10y^2\cdot(5y-4)=50y^3-40y^2[/tex]

Subtract this from [tex]50y^3+10y^2-35y-7[/tex] to get a remainder of

[tex](50y^3+10y^2-35y-7)-(50y^3-40y^2)=50y^2-35y-7[/tex]

What we've done here is show that

[tex]\dfrac{50y^3+10y^2-35y-7}{5y-4}=10y^2+\dfrac{50y^2-35y-7}{5y-4}[/tex]

We can keep going as long as the degree of the remainder's numerator is at least the same as the degree of its denominator.

Next, [tex]50y^2=5y\cdot 10y[/tex], and

[tex]10y\cdot(5y-4)=50y^2-40y[/tex]

Subtract this from the previous remainder to get a new remainder of

[tex](50y^2-35y-7)-(50y^2-40y)=5y-7[/tex]

which means

[tex]\dfrac{50y^3+10y^2-35y-7}{5y-4}=10y^2+10y+\dfrac{5y-7}{5y-4}[/tex]

Finally, [tex]5y=5y\cdot1[/tex], and

[tex]1\cdot(5y-4)=5y-4[/tex]

Subtract this from the previous remainder to get

[tex](5y-7)-(5y-4)=-3[/tex]

So we end up with

[tex]\dfrac{50y^3+10y^2-35y-7}{5y-4}=\boxed{10y^2+10y+1}-\dfrac3{5y-4}[/tex]

(the quotient is the expression in the box)

(2) Using the same process as before:

[tex]8m^4=2m\cdot4m^3[/tex]

[tex]4m^3\cdot(2m+1)=8m^4+4m^3[/tex]

[tex](8m^4-4m^2+m+4)-(8m^4+4m^3)=-4m^3-4m^2+m+4[/tex]

[tex]\implies\dfrac{8m^4-4m^2+m+4}{2m+1}=4m^3-\dfrac{4m^3+4m^2+m+4}{2m+1}[/tex]

[tex]-4m^3=2m\cdot(-2m^2)[/tex]

[tex]-2m^2\cdot(2m+1)=-4m^3-2m^2[/tex]

[tex](-4m^3-4m^2+m+4)-(-4m^3-2m^2)=-2m^2+m+4[/tex]

[tex]\implies\dfrac{8m^4-4m^2+m+4}{2m+1}=4m^3-2m^2-\dfrac{2m^2-m-4}{2m+1}[/tex]

[tex]-2m^2=2m\cdot(-m)[/tex]

[tex]-m\cdot(2m+1)=-2m^2-m[/tex]

[tex](-2m^2+m+4)-(-2m^2-m)=2m+4[/tex]

[tex]\implies\dfrac{8m^4-4m^2+m+4}{2m+1}=4m^3-2m^2-m+\dfrac{2m+4}{2m+1}[/tex]

[tex]2m=2m\cdot1[/tex]

[tex]1\cdot(2m+1)=2m+1[/tex]

[tex](2m+4)-(2m+1)=3[/tex]

[tex]\implies\dfrac{8m^4-4m^2+m+4}{2m+1}=\boxed{4m^3-2m^2-m+1}+\dfrac3{2m+1}[/tex]

Other Questions
Can someone please help me answer the questions for the passage? I will mark the brainliest answer!!!! STORIES OF USEFUL INVENTIONS, excerptBy S. E. Forman1911THE MATCHThere never was a time when the world was without fire, but there was a time when men did not know how to kindle fire; and after they learned how to kindle one, it was a long, long time before they learned how to kindle one easily. In these days we can kindle a fire without any trouble, because we can easily get a match; but we must remember that the match is one of the most wonderful things in the world, and that it took men thousands of years to learn how to make one. Let us learn the history of this familiar little object, the match.Fire was first given to man by nature itself. When a forest is set on fire by cinders from a neighboring volcano, or when a tree is set ablaze by a thunderbolt, we may say that nature strikes a match. In the early history of the world, nature had to kindle all the fires, for man by his own effort was unable to produce a spark. The first method, then, of getting fire for use was to light sticks of wood at a flame kindled by natureby a volcano, perhaps, or by a stroke of lightning. These firebrands were carried to the home and used in kindling the fires there. The fire secured in this way was carefully guarded and was kept burning as long as possible. But the flame, however faithfully watched, would sometimes be extinguished. A sudden gust of wind or a sudden shower would put it out. Then a new firebrand would have to be secured, and this often meant a long journey and a deal of trouble.In 1827, John Walker, a druggist in a small English town, tipped a splint with sulphur, chlorate of potash, and sulphid of antimony, and rubbed it on sandpaper, and it burst into flame. The druggist had discovered the first friction-chemical match, the kind we use to-day. It is called friction-chemical because it is made by mixing certain chemicals together and rubbing them. Although Walker's match did not require the bottle of acid, nevertheless it was not a good one. It could be lighted only by hard rubbing, and it sputtered and threw fire in all directions. In a few years, however, phosphorus was substituted on the tip for antimony, and the change worked wonders. The match could now be lighted with very little rubbing, and it was no longer necessary to have sandpaper upon which to rub it. It would ignite when rubbed on any dry surface, and there was no longer any sputtering. This was the phosphorus match, the match with which we are so familiar.What is the main idea of this text? Firebrands were hard to keep lit. Nature provided fire to early humans. The history of the match is interesting. The match made life easier for humans. One reason why most fossilized animals have incomplete remains is that parts like the: skin were not preserved teeth were not preserved shells were not preserved Which of these scientists had the greatest contribution to early microscopy?A.)They all made discoveries using optical telescopes.B.)They invented optical microscopes and telescopes so they could make discoveries.C.)They all made discoveries based using instruments that optical technology.D.)They all made discoveries using optical microscopes. 1. Frank drives from Adams to Harrison which is a distance of 310 miles. He then travels to Perryton which is 40 miles from Harrison. If it takes him 5 hours to complete the entire trip, how fast is he traveling if he is traveling at a constant rate of speed? Protests against USinvolvement inVietnam grew in thelate 1960s becausemany Americans 69. 18 + x = 43How do you do this ? Please help compare the south during and after reconstruction NEED HELP!!!Solve each proportion.Leave your answer as a fraction in simplest form. Questions in pictures... Which expression is equivalent to 21 - (-5) ? A: 21 - 5B: -21 + 5C: 21 + 5D: -21 - 5 If the acceleration of a truck over a given time interval is zero, how does the instantaneous velocity of that truck at any instant during that interval compare to its average velocity over that interval. Lines of attitude Run _____ DOES SOMEONE KNOW THE ANSWERS TO THESE IF SO I NEED HELP PLEASE........ In anatomical position, which term locates the little finger in relation to the thumb? Which sentence begins with a dependent clause?(1 point)1:When we go to school in the morning, we need to take our lunches and our backpacks.2:The children decided to play soccer in the park near their house. 3:My friends and I are going camping today, and tomorrow my cousin is going to join us!4:My dad is looking for his shoes while our dog is burying them in the garden. Which river system was not part of the first four civilizations? Brendas Bakery, which is covered by a businessowners policy, sustains a fire loss of $50,000 to the building and $25,000 in content damages is incurred. In addition, a customer and an employee are insured in the fire. Medical payments for their injuries amount to $2,000 for the injured customer and $3,000 for the injured worker. Brenda's business income is $5,000 per month, but she is unable to conduct any business for 60 days as a result of the fire. Assuming Brenda has adequate limits to cover this loss, how much will her policy pay How is totalitarianism different than a dictatorship? How did people in Oklahoma adapt to the environment? Why do you think early French settlers made better relations with native American tribes Than the British?