A farmer saw some chickens and pigs in a field. He counted 45 heads and 146 legs. Determine exactly how many chickens and pigs he saw.

Answers

Answer 1

Answers:

17 chickens and 28 pigs

=======================================================

Explanation:

c = number of chickens

p = number of pigs

There are 45 heads, so c+p = 45. This solves to p = 45-c.

Since chickens have 2 legs and pigs have 4, this means there are 2c legs from all the chickens and 4p legs from all the pigs. In total there are 2c+4p legs.

Set this equal to 146 to get the second equation

2c+4p = 146

Then plug in p = 45-c and solve for c

2c+4p = 146

2c+4(45-c) = 146

2c+180-4c = 146

-2c+180 = 146

-2c = 146-180

-2c = -34

c = -34/(-2)

c = 17

There are 17 chickens.

p = 45-c

p = 45-17

p = 28

And there are 28 pigs.

------------------

Check:

c+p = 17+28 = 45 heads

2c+4p = 2*17+4*28 = 34+112 = 146 legs

The answers are confirmed.


Related Questions

(y-4)6

help please....

Answers

6y-24

6(y) =6y
4(6)= 24

Armando kicks a football into the air. The function ​f(x) = -6x to the power of 2 + 36x +.23 models the height of the football from the​ ground, in​ feet, with respect to the time x in seconds. Use a graph or table to estimate the time for the ball to return to the ground after being kicked.

Answers

Thus, the total time to reach the ball at ground after being kicked is 6 seconds.

Define about the quadratic function:

The maximum value or minimum value of a quadratic function are located at its vertex, which is shaped like a U. The quadratic function's axis of symmetry crosses the function (a parabola) at its vertex.

This graph's opening side plus vertex determine the quadratic function's range. To ascertain the quadratic function's range, locate the lowest and highest f(x) values on the function graph.

Standard form for quadratic function:

f(x) = ax² + bx + c,

In which, a, b, and c -  real numbers and  a ≠ 0.

Given function for the which explain the height of ball with time:

f(x) = -6x² + 36x + 0.23

f(x) is the height of ball taken from ground.

x is the time in seconds.

Draw the graph of the function using the graphing tool.

The diagram is attached.

The vertex of the graph lies at (3, 54.23).

x - 3 seconds

f(x) = 54.23 ft

So, time taken by ball to reach at height of 54.23 ft is 3 seconds.

Total time to reach the ball at ground = 2*3 =  6 seconds

Thus, the total time to reach the ball at ground after being kicked is 6 seconds.

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Armando kicks a football into the air. The function f(x) = -6x to the power of 2 + 36x +.23 models the

PLEASE HELP GRADES ARE DUE TODAY AND IM CURRENTLY FAILING MATH AND I DONT WANNA GO TO SUMMER SCHOOL

Game Time charges a $9.00 entrance fee and
$0.25 per ticket to play the games. Fun World
charges a $7.00 entrance fee and $0.65 per ticket
to play games. How many tickets would you need
to buy in order for the total cost at Game Time to
be the same as Fun World?
ora
for Educa

Answers

Answer:

10 tickets in total                                                                                                                                                                                                                                                                                                                                                                  

Step-by-step explanation:

Fun world:

7.65 = 1

8.30 = 2

8.95 = 3

9.60 = 4

10.25 = 5

Game time:

9.25 = 1

9.50 = 2

9.75 = 3

10.00 = 4

10.25 = 5

I really hope this helped you! And i'm sure you won't go to summer school!

There are 4 colas, 1 ginger, 7 root beers, and 6 cherry sodas in a cooler. What are the odds of choosing a ginger ale? Give your answer in a proportion in lower terms.

Answers

Answer:

Step-by-step explanation:

the odds of choosing a ginger ale is 1/21

The odds of choosing a ginger ale is 1/18.

To find the proportion, add all the numbers together, and put that as the denominator. Put the number that you are trying to find the proportion of as the numerator

Look at the figure. If m∠JKM = 48, find m∠J.

Look at the figure. If mJKM = 48, find mJ.

Answers

Answer:

42

Step-by-step explanation:

The measure of angle K is 48, the measure of angle m is 90. From there you have 138 degrees. A triangle is 180 degrees. You subtract 138 from 180.

The measure of angle J from the given triangle JKL is 42°.

What is angle sum property of a triangle?

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.

In the given triangle JKL and m∠JKM = 48°.

We know that, angle bisector in isosceles triangle is perpendicular bisector of base.

In triangle JKM,

m∠J+m∠JKM+m∠KMJ=180°

m∠J+48°+90°=180°

m∠J+138°=180°

m∠J=42°

Therefore, the measure of angle J from the given triangle JKL is 42°.

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a group of fish is called a school . there are twenty-five in the small school.there are one hundered twelve fish in the big school. how many fewer fish are in the small school

Answers

There are 87 fewer fish in small school compared to big school.

We solve addition and subtraction problems by focusing on either the action (joining or separating) or the relationship in the problem. Many problems involve monetary relationships.

This week, we looked at COMPARISON problems, which involve determining the similarities and differences between sets.

Difference Unknown: One type of compare problem entails determining how many more items are in one set than another. James, for example, has six mice. Joy has eleven mice. Joy has how many more mice than James?

Given,

Number of fish in small school = 25

Number of fish in big school =  112

then,

Number of fewer fish does small school have 112 -25 = 87

Thus, there are 87 fewer fish in school than big school.

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Help asap will mark brainlest

Help asap will mark brainlest
Help asap will mark brainlest

Answers

Answer:

Domain:All real numbers greater than or equal to 0 and less than or equal to 50

Range:all real numbers greater than or equal to 0 and less than or equal to 100

Domain-x

Range-y

I hope this is good enough:

John is saving to buy a new car that will cost him $24,000. John started his savings at the beginning of the school year and has been able to accumulate $1000 after the first month. John plans to continue his savings at a rate proportional to the amount he still needs to save. Determine John's savings amount as function of time Hint: A variable y is said to be proportional to a variable x if y=cx for some constant c.

Answers

John's savings amount as a function of time is S(t) = $24,000 / 25. Initially, he needs to save $24,000 for a new car. After the first month, he has saved $1,000. The savings amount is directly proportional to the time elapsed. The constant of proportionality is 1/24. Thus, John's savings amount can be determined based on the remaining amount he needs to save.



John's savings amount can be represented as a function of time and is proportional to the amount he still needs to save. Let's denote the amount John needs to save as N(t) at time t, and his savings amount as S(t) at time t. Initially, John needs to save $24,000, so we have N(0) = $24,000.

We know that John has saved $1,000 after the first month, which means S(1) = $1,000. Since his savings amount is proportional to the amount he still needs to save, we can write the proportionality as:

S(t) = k * N(t)

where k is a constant of proportionality.

We need to find the value of k to determine John's savings amount at any given time.

Using the initial values, we can substitute t = 0 and t = 1 into the equation above:

S(0) = k * N(0)  =>  $1,000 = k * $24,000  =>  k = 1/24

Now we have the value of k, and we can write John's savings amount as a function of time:

S(t) = (1/24) * N(t)

Since John's savings amount is proportional to the amount he still needs to save, we can express the amount he still needs to save at time t as:

N(t) = $24,000 - S(t)

Substituting the expression for N(t) into the equation for S(t), we get:

S(t) = (1/24) * ($24,000 - S(t))

Simplifying the equation, we have:

24S(t) = $24,000 - S(t)

25S(t) = $24,000

S(t) = $24,000 / 25

Therefore, John's savings amount at any given time t is S(t) = $24,000 / 25.

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In Mrs. Ramon's class, the ratio of boys to girls is 2 to 3. The class has 30
students. How many girls are in Mrs. Ramon's class?

Answers

Answer:

10 girls

Step-by-step explanation:

Because 2/3 of 30 is 20 making the other 10 girls

The diameter of a table tennis ball is 20 millimeters.

What is the approximate area of the table tennis ball?

Answers

Answer:

2512

Step-by-step explanation:

The surface area of the table tennis ball will be around 1256.64 mm².

What is the sphere?

A sphere is a 3D geometrical object which has a radius and becomes a point that revolves around a fixed point called the center.

A sphere has surface area and volume based upon the radius of the sphere.

For example, if you have a sphere of radius r then its surface area will be 4πr² and volume will be (4/3)πr³.

The table tennis ball is the form of a sphere.

Given that,

The diameter of a table tennis ball is 20

Radius(r) = 20/2 = 10 mm

Surface area of an sphere = 4πr²

So,

Area = 4π(10)² = 1256.64 mm².

Hence "The surface area of the table tennis ball will be around 1256.64 mm²".

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can you help me thanks

can you help me thanks

Answers

Answer:

the answer is C-supplementary.

Step-by-step explanation:

Hope This Helps!!

23h Sam will be going shopping on Dec 26. He currently has $150. He wants to buy pants for $90 and
t-shirts for $12.50 each. He expects to get at most $150 for Christmas. How many t-shirts can he expect to
purchase?

Answers

Answer:

4 t shirts.

Step-by-step explanation:

Given that money available with Sam = $150

Price for pants = $90

Price of each t shirt = $12.50

To find:

How many t shirts can he expect to purchase?

Solution:

Price for 2 pants = $180 which is more than $150.

Therefore, he can not buy more than 1 pants.

The remaining amount after buying pants = $150 - $90 = $60

This amount will be used for buying t-shirts.

Number of t-shirts that can be bought:

\(\dfrac{60}{12.5} \approx 4.8\)

But answer in decimal points for number of t shirts is not possible and he does not have more money.

It means, he can buy at most 4 t-shirts.

Seven less than a number, divided by five, is -2

Answers

Answer:

( -3 - 7 ) ÷ 5 = -2

Step-by-step explanation:

( x - 7 ) ÷ 5 = -2

( -3 - 7 ) ÷ 5 = -2

( -10 ) ÷ 5 = -2

-10 ÷ 5 = -2

The answer is -3

The answer is negative 2 because if you minus negative 3 by 7 first, it will give you negative 10. When you divide negative 10 by 5, you get negative 2, which is the answer to the equation.

Hope this helps! <3

The number is -3

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number be x

Seven less than a number

So , x - 7

Divided by five, is -2

So ,

( x - 7 ) / 5 = - 2

Multiply by 5 on both sides , we get

x - 7 = - 10

Adding 7 on both sides , we get

x = - 3

Hence, the number is - 3

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3/20, 2/15, 1/5

order from least to greatest
will get brainliest and all-stars and thx if the answer is correct

Answers

2/15, 3/20, 1/5

best to use a calculator to see decimals then order them imo :)

3/20, 2/15, 1/5 is the order from least to greatest

A rectangular plant holder is 8 inches long 7 1/2 inches wide and 5 inches high. How much potting soil can the planter hold

Answers

Answer:

\(300\)

Step-by-step explanation:

\(8 \times 7 \frac{1}{2} \times 5 \times = 300\)

The rectangular plant can hold the volume of potting soil is 300 cubic inches.

What is a cuboid?

A cuboid is a three-dimensional shape in which all sides are rectangles. A cuboid has 6 faces, 8 vertices, and 12 edges. All the angles formed at the vertices of a cuboid are right angles. The opposite edges are parallel to each other.

For the given situation,

The rectangular plant holder is in the shape cuboid.

Length of the rectangular plant,l = 8 inches

Width of the rectangular plant,w = 7 1/2 = 15/2 inches

Height of the rectangular plant,h = 5 inches

The formula of volume of cuboid is

\(V=lwh\)

⇒ \(V= (8)(\frac{15}{2} )(5)\)

⇒ \(V=300\)

Hence we can conclude that the rectangular plant can hold the volume of potting soil is 300 cubic inches.

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Find the distance between the two points in simplest radical form.

Find the distance between the two points in simplest radical form.

Answers

The distance bewteen the points (-3,5) and (3,1) in a simple radical form is 2√13.

What is the distance between the given points?

The distance formula used in finding the distance between two points is expressed as;

d = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

From the graph;

Point A: (-3,5)

x₁ = -3

y₁ = 5

Point B: (3,1)

x₂ = 3

y₂ = 1

Plug the given values into the distance formula and simplify.

\(d = \sqrt{( x_2 - x_1)^2 + (y_2 -y_1 )^2} \\\\d = \sqrt{( 3-(-3))^2 + (1 -5)^2} \\\\d = \sqrt{( 3+ 3)^2 + (1 -5)^2} \\\\d = \sqrt{( 6)^2 + (-4)^2} \\\\d = \sqrt{36 + 16} \\\\d = \sqrt{52}\\\\d = 2\sqrt{13}\)

Therefore, the distance between the points is 2√13.

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Let AA and BB be two mutually exclusive events, such that P(A)=0.2272P(A)=0.2272 and P(B)=0.4506P(B)=0.4506. Find the following probability:

Answers

The probability that the events do not occur is 0.6778`.

The probability that the events do not occur is given by `P(Ac)=1-P(A)` and `P(Bc)=1-P(B)`.

The given probabilities are `P(A)=0.2272` and `P(B)=0.4506`.

Using the formula `P(A∪B)=P(A)+P(B)-P(A∩B)`, we have `P(A∩B) = P(A) + P(B) - P(A∪B)`

Using the fact that the two events are mutually exclusive, we get `P(A∩B) = 0`.

Thus, `P(A∪B) = P(A) + P(B) = 0.2272 + 0.4506 = 0.6778`.

The probability that either A or B but not both occurs is given by `P(AΔB) = P(A∪B) - P(A∩B) = 0.6778 - 0 = 0.6778`.

Hence, the required probability is `P(AΔB) = 0.6778`.

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At a daycare, Kiran sees children climbing on this foam play structure. Kiran is thinking about building a structure like this for his younger cousins to play on.The entire structure is made out of soft foam so the children don’t hurt themselves. How much foam would Kiran need to build this play structure?

Answers

The amount of foam that Kiran would need to be able to construct the foam like structure would be 4, 960 inch³.

How to find the amount of foam ?

The amount of foam that Kiran would need to make the foam play structure would be the volume of the structure as this measures the amount of material needed in the interior of the structure.

We can find the volume of the shape by dividing it into three smaller shapes of two cuboids and a triangular prism.

The volume would then be:

= Volume of shape A + Volume of shape B + Volume of C

= ( 8 x 20 x 5 ) + ( 10 x 20 x 10 ) + 2, 160

= 800 + 2, 000 + 2, 160

= 4, 960 inch ³

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At a daycare, Kiran sees children climbing on this foam play structure. Kiran is thinking about building

Ginny works at the local sneaker shop. She earns $17.50 per hour working there. Her boss offers her a promotion she can either receive a 12.5% hourly raise or $2.50 raise on her rate per hour. Ginny is not sure which choice will make her more money on a weekly basis.

Ginny chooses to take the 12.5% raise. She works 40 hours per week.

How much does she earn after 40 hours ?

Answers

Answer:

$787.5

Step-by-step explanation:

first, you have to find how much ginny makes in a week w/o her raise\

17.5*40=700

then, you have to raise it by 12.5%, so her new salary is 112.5% of 17.5

112.5% = 1.125

700*1.125=787.5

determine whether the statement is true or false. if it is false, rewrite it as a true statement. a sampling distribution is normal only if the population is normal.

Answers

It is false that sampling distribution is normal only if the population is normal.

Is it necessary for the population to be normal for the sampling distribution to be normal?

According to the central limit theorem, when sample sizes are sufficiently large (typically n ≥ 30), the sampling distribution of the sample mean tends to approximate a normal distribution regardless of the population's underlying distribution.

This is true even if the population itself is not normally distributed. However, for small sample sizes, the shape of the population distribution can have a greater influence on the shape of the sampling distribution.

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if (2x-1) be a factor of the polynomial p(x) = kx^3 + 23x^2 + 71x + 30 then find k and hence factorize the polynomial p(x)​

Answers

Answer:

k=-570

Step-by-step explanation:

P(x) = kx^3+23x^2+71x+30

If 2x-1 is a factor of p(x)

Then,

2x-1 =0

2x=1

x=1/2 and at this value, p(x) =0

Substitute x = 1/2 for x in p(x)

p(1/2) = k(1/2)^3 + 23(1/2)^2;+71(1/2)+30

k(1/8)+23/4 +71/2+30=0

k/8= -23/4 -71/2-30

k/8 = -285/4

k= -(285*8)/4

k=-570

Thus, the polynomial p(x) = -570x^3 +23x^2 +71x +30

Factorization of p(x)

(2x-1) (-285x^2 +131x-30).

the answere would be k=-570

oh and answere me :()

can someone please help

can someone please help

Answers

Answer:

you should always keep the angle alphabet in the middel of other alphather following through.

can someone please help

The major shortcoming of the general linear probability model y = β0 + β1x1 + β2x2 + … + βkxk + ε, is that the predicted values of y can be sometimes ________.
Multiple Choice
at least 0 and no more than 1
greater than 0 and less than 1
less than 0 or greater than 1
less than 1 but more than 0

Answers

The major shortcoming of the general linear probability model y = β0 + β1x1 + β2x2 + … + βkxk + ε, is that the predicted values of y can be sometimes greater than 1 or less than 0.

The linear probability model does not take into account the fact that probabilities are bounded between 0 and 1. As a result, the predicted values of y can sometimes fall outside of this range, which is not meaningful or interpretable in terms of probability. To address this issue, alternative models such as logistic regression or probit regression can be used, which are specifically designed to model probabilities and ensure that predicted values fall within the appropriate range. These models use non-linear functions to map the values of the independent variables to probabilities, thereby avoiding the problem of predicted values falling outside the valid range.

Therefore,the major shortcoming of the general linear probability model y = β0 + β1x1 + β2x2 + … + βkxk + ε, is that the predicted values of y can be sometimes greater than 1 or less than 0.

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Find the Slope of the line that passes through the given points: (5, 2) and (6, 6).

Answers

Answer:

You can find slope of line using the slope formula. The slope formula is Y2-Y1/X2-X1. Substitute in the points and solve.

6-2/6-5

4/1

4

The slope of the line is 4.

Hope this helps! :)

3.) Use inductive reasoning to find the next two terms in the sequence. 32,
30, 26, 20, 12, 2, *
NEED ASAP

Answers

The answer would be -10

Best answer gets brainliest hurry ASAP

Best answer gets brainliest hurry ASAP

Answers

enter your answer in the box

I need help with this math question

I need help with this math question

Answers

Answer:

9×7 = 63 pine Ave is. 1 hold mile divide it it and will be 63 miles

A square playground is covered with pebbles, except for two equal sized triangular portions that have grass. How many square feet do the pebbles cover?

Answers

The pebbles cover an area of 147 sq ft. We can use the Pythagorean theorem to find the solution.

Let's call the length of the third side of the triangle "x".

Since the two triangles are equal in size, and they share two sides with the square, we can use the Pythagorean theorem to find x.



a² + b² = c²

7² + 7² = c²

49 + 49 = c²

98 = c²

c = sqrt(98)

c = 7sqrt(2)

So each triangle has a base of 7ft and a height of 7sqrt(2)ft.

Area of each triangle = (base * height) / 2 = (7 * 7sqrt(2)) / 2 = 24.5 sq ft

Since there are two triangles, the total area of the grass is 24.5 sq ft * 2 = 49 sq ft

The square has an area of 14ft * 14ft = 196 sq ft

The pebbles cover an area of 196 sq ft - 49 sq ft = 147 sq ft.

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Complete question is in the image attached

A square playground is covered with pebbles, except for two equal sized triangular portions that have

How are the properties of exponents used when dividing a polynomial by a monomial?

Answers

Answer:

a couple different obes

Step-by-step explanation:

there are five

Lack of any rules or government creates chaos and turmoil, where mobs rule the land through might and violence. This state is called what?

a
Social Contract
b
Anarchy
c
Sovereignty
d
Divine Right

Answers

Answer:

d divine right ok

Step-by-step explanation:

pls mark me brainly

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