A farmer has a total of 23 pigs and chickens. The 23 animals have a total
of 60 legs. How many pigs and how many chickens does the farmer have?

Answers

Answer 1

Answer:

7 pigs, 16 chickens

Step-by-step explanation:

p= pigs, c= chickens, legs= 60, number of pigs & chickens= 23

System of Equations:

Equation 1: [tex]p+c=23[/tex] would be [tex]23-p=c[/tex]Equation 2: [tex]4p+2c=60[/tex] for the legs

Then, use substitution & solve:

[tex]4p+2(23-p)=54\\4p+46-2p=54\\4p-2p=8\\2p=8\\p=7[/tex]

Now, plug [tex]p=7[/tex] back into [tex]23-p=c[/tex] to get c

[tex]23-p=c\\23-7=c\\c=16[/tex]

Answer: 7 pigs, 16 chickens or [tex]p=7[/tex] and [tex]c=16[/tex]

To check your work, plug those solutions back into the system.

------

(I hope that helps & good luck! <3)


Related Questions

Ms. James class is making bracelets. A bracelet I made out of 3 pieces of string that are each 6 inches long. How many YARDS of string does the class need to make 84 bracelets?

Answers

Answer:

42 yards.

Step-by-step explanation:

3 x 6 is 18. 18 x 84 is 1512. 1512 divided by 12 is 126. 126 divided by 3 is 42.

2=4+7h what does h equal

Answers

Answer:

h= -2/7

Step-by-step explanation:

Simply simplify the equation:

2 = 4 + 7h

first get rid of the 4

2-4 = -2

so -2 = 7h

so h = -2/7

These are the values in Irwin’s data set.

(1, 43), (3, 36), (5,22), (6, 25), (8,14)

Irwin determined the equation of a linear regression line, and determined that these are the predicted values.

(1, 44), (3, 35), (5,26), (6, 22), (8,13)

Use the point tool to graph the residual plot for the data set.

Answers

The residual points include the difference between the value in Irwin's dataset and the predicted values

How to plot the residuals?

The residual is calculated using:

Residual = Actual points - Predicted points

The actual points are:

(1,43), (3, 36), (5,22), (6, 25), (8,14)

The predicted points are:

(1,44), (3, 35), (5,26), (6, 22), (8,13)

Using the residual formula above, we have the residuals to be:

(x,y) = (1,-1), (3, 1), (5,-4), (6, 3), (8,1)

See attachment for the residual plot

Read more about residuals at:

https://brainly.com/question/1447173

If B = -6

What is b² - 5b - 7?

Answers

Answer:

59

Step-by-step explanation:

[tex](-6)^2-5(-6)-7[/tex]

[tex]36+30-7[/tex]

[tex]59[/tex]

please help :DDDD 50 pointssss and brainliest

Sasha solved an equation, as shown below:

Step 1: 8x = 56
Step 2: x = 56 – 8
Step 3: x = 48

Part A: Is Sasha's solution correct or incorrect? If the solution is incorrect, explain why it is incorrect and show the correct steps to solve the equation. (6 points)

Part B: How many solutions does this equation have? (4 points)

Answers

Answer:

Her solution is incorrect. The correct solution for the equation is x=7

Step-by-step explanation:

Sasha solved the equation incorrectly.

The correct way to solve this equation would be:

8x = 56

Divide both sides by 8.

[tex]\frac{8x}{8}= \frac{56}{8}[/tex]

You would get x=7.

This equation has 1 solution.

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!

Stay Brainy!

Kallmekrish

Part A: (incorrect) It should be
56/8 and not 56-8. So, the correct answer is x = 7

Part B: (Only one solution) If there was and x^2 than it would have two solutions.

PLEASE RATE!! I hope this helps!!
If you have any questions comment below

Help!! This is i-ready!!! Will get brainiest!!!

Answers

Answer:

It would be,

The people who volunteer usually have a motive to do so and will be the only ones represented.

Step-by-step explanation:

At a conference for 500 people, 10% of the participants are french, 35% are americans, 20% are germans, and are of other nationalities. how many french participants are at the conference? 10 20 40 50

Answers

A percentage is a way to describe a part of a whole. The number of French people at the conference is 50.

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

As it is given that the total number of people in the conference is 500, while 10% of the participants are french. Therefore, the number of people who are French at the conference can be written as,

Number of French People = 10% of the number of people in the conference

[tex]\text{Number of French People} = \dfrac{10}{100} \times 500 = 50[/tex]

Hence, the number of French people at the conference is 50.

Learn more about Percentages:

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Which expression is equivalent to –12 – 40?

Answers

the answer would be the equation: -12+ -40

I need help on this I don't get it please help me on this

Answers

Correct answer: 9x -14y = -6

Linear equation: y = ax + b

Let's replace (x,y) with (1/2, 3/4) and (4,3) and have the following equations:

1/2a + b = 3/4 (1)

4a + b = 3 (2)

=> (2) b = 3 - 4a

(1) 1/2a + 3 - 4a = 3/4

=> (1) 7/2a = 9/4

(2) b = 3- 4a

=> (1) a = 9/14

(2) b = 3/7

So we have the equation: y= 9/14x + 3/7

Multiple both sides with 14

=> 14y = 9x + 6

=> 9x -14y = -6

can you help me? please

Answers

Answer:

The answer is B. 600

Step-by-step explanation:

Hope that helps!

Answer:

B. $600.00

Step-by-step explanation:

every 10hrs worked you are getting $120.00 so just add $120.00 every 10 hrs

Just need help, can't remember how to solve it.

Answers

This should help I even showed my work

How many solutions are there for the quadratic equation?
f(x)=5x^2+3x+2

Answers

Answer:

2

Step-by-step explanation:

[tex]5x^2 +3x +2 = 0\\\\\text{Apply the quadratic formula,}~ x=\dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\\\\text{In this case,}~a= 5, ~ b = 3~ \text{and}~ c = 2\\\\ \\x=\dfrac{-3\pm \sqrt{3^2 -4\cdot 5 \cdot 2}}{2\cdot 5}\\\\~~~=\dfrac{-3 \pm \sqrt{9-40}}{10}\\\\~~~=\dfrac{-3 \pm \sqrt{-31}}{10}\\\\~~~=\dfrac{-3 \pm i\sqrt{31}}{10}\\\\\text{So, there are 2 solutions,}~ x=\dfrac{-3 + i\sqrt{31}}{10}~ \text{and} ~x=\dfrac{-3 -i\sqrt{31}}{10}[/tex]

Another  way to find the number of solutions is by looking at the highest exponent(Degree), which indicates the number of solutions.  

[tex]\\ \rm\rightarrowtail 5x^2+3x+2=0[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{-3\pm \sqrt{9-40}}{10}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{-3\pm\sqrt{-31}}{10}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{-3\pm\sqrt{31}i}{10}[/tex]

ethan puts 1/3 pound of dog food into dog bowls every time he fills it. How many times can ethan fill his dog's bowl with 5 pounds of dog food?

Answers

Answer: Ethan can fill the bowl(s) 15 times.

Step-by-step explanation:

It would be 15 pounds, but if you’re thinking about how the questions phrased, he can only fill the bowl up once with 5 pounds of dog food because then he would be filling it up with 4 and 2/3 of dog food

Save my soul!!!!
if you can pIz show me what you did to get answers.

Answers

Answer:

9

41/4

23/2

51/4

14

Step-by-step explanation:

The first term is the first term that is given. Just copy it.

Each next term is the previous term plus the common difference.

First term: a_1 = 9

Second term: a_2 = 9 + 5/4 = 36/4 + 5/4 = 41/4

Third term: a_3 = 41/4 + 5/4 = 46/4 = 23/2

Fourth term: a_4 = 46/4 + 5/4 = 51/4

Fifth term: a_5 = 51/4 + 5/4 = 56/4 = 14

The equation 2y+x=0 is shown on the graph below as a

Answers

Answer: Red line

Step-by-step explanation:

2y+x=0

2y=-x

y=-x/2

So we need a line with a slope of -1/2 that passes through the origin, which is the red line.

Events that cannot happen at the same time are called?

Answers

If you want to find out use the voice thing and figure it out for like example heads and tails on a coin you can clearly see them those things are almost alike now you can do this just believe in yourself

Goal: create a budget meal for a day
role: you are an assistant cook in karinderya.
audience: teacher, friend, neighbours and loved one.
situation: the store manager give you task to prepare a budget meal for the day,
consisting 1 rice, 1 viand, 1 fruit and 1 drink.

available food: rice (fried and plain), viand (chicken meat, pork meat
and vegetables), dessert fruit (banana and apple) and juice (pineapple juice
and mango juice)
product: the expected output must be the following:
1. customer financial capability in ordering food
2. create at least three combination of your budget meal and put a necessary
amount.

using the combination formula

Answers

My budget meal for a day will be targeted towards people who wants (weight loss) and such I will prepare a food menu of plain rice, vegetables, apple fruit and a cup of mango juice.

The  customer financial capability in ordering food is very simple as it is targeted towards weight loss and as such, the rice is plain along with vegetables and as such, it will be affordable.

The three combination of my budget meal are:

Plain rice and vegetable = $3.Plain rice and an apple fruit = $ 2.5.Plain rice and a cup of mango Juice= $ 2.

What food budget?

A food budget is known to be the purpose a person has so as to be able to spend on food groceries.

Note that food budget is one that often includes any items a person need to buy more, such as meat, fruit and vegetables, etc.

Learn more about budget meal  from

https://brainly.com/question/25939288

PA ANSWERR NEED SOME ANSWERS THNKS

Answers

Answer:

16. j = 105 °

17. Q = 68 °

18. s = 97 °

19. t = 70 °

20. r = 125 °

Step-by-step explanation:

16. Name the angle that is supplementary to angle J as K, and label the angle that is next to K as G

Angle G = 105, because it is corresponding to the 105 angle.

Since G is supplementary to K, angle K = 75.

So, J = 105

17. Name the angle that is supplementary to angle Q as R

Angle R = 112, because it is corresponding to the 112 angle.

Since R is supplementary to Q, angle Q = 68.

18. Name the angle that is supplementary to the 83 angle as L
Angle L = 97, since angle L and the 83 angle are supplementary angles

-> Angle S = 97, since S and L are alternate angles

19. Angle T = 70, since angle T and the 70 angle are corresponding angles.

20. Name the angle that are alternate angles with angle R as Q

Angle Q = 125, because it is corresponding to the 125 angle.

Since angle Q and angle R are alternate angles, angle R = 125.

(Note : alternate angles and corresponding angles are equal to each other, supplementary angles add up to 180.)

1. Find the Area of the Sector:

2. Find the length of the missing side:

Answers

Answer:

1) 14.137 2)10

Step-by-step explanation:

area of sector is central angle / 360 times (pi)(r^2)

45/360 x pi (6^2)

1/8 x 36pi

14.137

3-4-5- right triangle. Or Pythagorean Theorem.

6^2 + 8^2 = c^2

c= 10

100 BRAINLY POINTS!!!

The figure below shows a scatter plot.


Which linear equation best represents the data in the scatter plot?

A. y = -8x + 0.5

B. y = -0.5x - 8

C. y = -0.5x + 8

D. y = -x + 8.5

EXPLAIN YOUR ANSWER
SHOW YOUR WORK

Answers

Answer:

C)   [tex]y=-0.5x+8[/tex]

Step-by-step explanation:

Line of best fit (trendline) : a line through a scatter plot of data points that best expresses the relationship between those points.

All the given options for the line of best fit are linear equations.

Therefore, we can add the line of best fit to the graph (see attached), remembering to have roughly the same number of points above and below the line.

Linear equation:  [tex]y=mx+b[/tex]

(where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept)

From inspection of the line of best fit, we can see that the y-intercept (where x = 0) is approximately 8.  So this suggests that options C or D are the solution.

We can also see that the slope (gradient) of the line of best fit is approximately -0.5 (as the rate of change (y/x) is -1 unit of y for every +2 units of x).

Therefore, C is the solution, and the closet approximation to the line of best fit is [tex]y=-0.5x+8[/tex]

One day, the weather report shows that boston is experiencing a temperature of -27 degrees, while london is experiencing a temperature of 37 degrees. which city is colder?

Answers

Answer:

Obviously Boston, since -27 is much less than 37

Calculate the angle of the incline from the diagram. Answers have been rounded to the nearest tenth of a degree.

A. 32.2°
B. 40.2°
C. 49.8°
D. 57.8°

Answers

Answer:

40.2

Step-by-step explanation:

Let's see

[tex]\\ \rm\rightarrowtail tan\theta=\dfrac{Perpendicular}{Base}[/tex]

[tex]\\ \rm\rightarrowtail tan\theta=\dfrac{11}{13}[/tex]

[tex]\\ \rm\rightarrowtail tan\theta=0.846[/tex]

[tex]\\ \rm\rightarrowtail \theta=tan^{-1}(0.846)[/tex]

[tex]\\ \rm\rightarrowtail \theta=40.2^{\circ}[/tex]

factor 1/2 out of 1/2x + 9/2

Answers

Answer:

Equation would be x + 9/2.

Step-by-step explanation:

Factoring out means taking out a Number, or an unknown quantity.

So, Factor out 1/2:

New equation with old step by step:

Step 1:

Remove 1/2 from 1/2x + 9/2

Step 2:

Equation should be: x + 9/2.

New equation:

x + 9/2

I need help with this one plis quickly !!!

Answers

Answer:

3

Step-by-step explanation:

Hard to see but pretty sure thats it

I just need 13⅗% as a decimal please thanks

Answers

the answer to 13 3/5% as a decimal

0.136

 

Haruto simplified the value below. Cosecant (StartFraction 19 pi Over 4 EndFraction) = StartRoot 2 EndRoot Which statement explains whether Haruto is correct? Haruto is correct because the angle is coterminal with StartFraction 3 pi Over 4 EndFraction and the reference angle is StartFraction pi over 4 EndFraction. Haruto is correct because the angle is coterminal with StartFraction pi Over 4 EndFraction, which is also the reference angle. Haruto is not correct because the angle is coterminal with StartFraction 3 pi Over 4 EndFraction, and Cosecant (StartFraction 3 pi Over 4 EndFraction) = StartFraction negative 1 Over StartRoot 2 EndRoot EndFraction = StartFraction negative StartRoot 2 EndRoot Over 2 EndFraction. Haruto is not correct because the angle is coterminal with StartFraction pi over 4 EndFraction, and Cosecant (StartFraction pi Over 4 EndFraction) = StartFraction 1 Over StartRoot 2 EndRoot EndFraction = StartFraction StartRoot 2 EndRoot Over 2 EndFraction.

Answers

If the value of the cosecant 19π/4 and 3π/4 are the same then they are coterminal angles. Then the correct option is A.

What is an angle?

Angle is the space between the line or the surface that meets.  And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.

The expression is given below.

[tex]\rm cosec \ \dfrac{19\pi}{4} =\sqrt2[/tex]

The angle is 19π/4.

Coterminal angle - The angles in a standard position that have a common terminal side.

Then we have

[tex]\Rightarrow \dfrac{19\pi}{4} - 2*2\pi\\\\\Rightarrow \dfrac{19\pi - 16\pi}{4} \\\\\Rightarrow \dfrac{3\pi}{4}[/tex]

More about the angled link is given below.

https://brainly.com/question/15767203

Answer:

A

Step-by-step explanation:

Props to the otha guy

A mountain in boone county is eroding and losing elevation at a rate of 5% every millennium. if the current elevation is 1,710 meters, how tall will the mountain be in 4 millennia?
if necessary, round your answer to the nearest whole number.

Answers

Answer: 1,393 meters tall

Step-by-step explanation:

Plug in 1710 meters for the initial amount, 0.05 for the rate of decrease, and 4 millennia for the time elapsed.

y

= a(1–r)t

y

= 1,710(1–0.05)4 Plug in values

y

= 1,710(0.95)4 Subtract

y

= 1,710(0.81450…) Simplify

y

= 1,392.80568… Multiply

Round to the nearest whole number.

1,392.80568… → 1,393

To the nearest whole number, the mountain will be 1,393 meters tall.

Over what intervals is the average rate of change of f(x) = 5x greater than the average rate of change of g(x) = 25x? Select all that apply. A. 0 ≤ x ≤ 3 B. 0 ≤ x ≤ 2 C. 3 ≤ x ≤ 6 D. 1 ≤ x ≤ 2

Answers

The average rates of change of a function f(x) and g(x) are their slopes

The average rate of change of the function f(x) is always less than the average rate of change of the function g(x)

How to determine the average rate of change?

The average rate of change of a function f(x) over the interval [a,b] is calculated as:

[tex]m = \frac{f(b) - f(a)}{b - a}[/tex]

The average rates of change of the functions over the intervals are:

A. 0 ≤ x ≤ 3

[tex]m_1 = \frac{f(3) - f(0)}{3 - 0} = \frac{5 * 3 - 5 *0}{3 - 0} = 5[/tex] ---- f(x)

[tex]m_2 = \frac{g(3) - g(0)}{3 - 0} = \frac{25 * 3 - 25 *0}{3 - 0} = 25[/tex] --- g(x)

B. 0 ≤ x ≤ 2

[tex]m_1 = \frac{f(2) - f(0)}{2 - 0} = \frac{5 * 2 - 5 *0}{2 - 0} = 5[/tex] ---- f(x)

[tex]m_2 = \frac{g(2) - g(0)}{2 - 0} = \frac{25 * 2 - 25 *0}{2 - 0} = 25[/tex] --- g(x)

C. 3 ≤ x ≤ 6

[tex]m_1 = \frac{f(6) - f(3)}{6 - 3} = \frac{5 * 6 - 5 *3}{6 - 3} = 5[/tex] ---- f(x)

[tex]m_2 = \frac{g(6) - g(3)}{6 - 3} = \frac{25 * 6 - 25 *3}{6 - 3} = 25[/tex] --- g(x)

D. 1 ≤ x ≤ 2

[tex]m_1 = \frac{f(2) - f(1)}{2 - 1} = \frac{5 * 2 - 5 *1}{2 - 1} = 5[/tex] ---- f(x)

[tex]m_2 = \frac{g(2) - g(1)}{2 - 1} = \frac{25 * 2 - 25 *1}{2 - 1} = 25[/tex] --- g(x)

From the above computation, we can see that:

The average rate of change of the function f(x) = 5x is always less than the average rate of change of the function g(x) = 25x

Read more about average rates of change at:

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Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently.

Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300.

Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn.

Salesman C does not earn any commission. His weekly salary is $900.
The weekly paycheck amount for each salesman, p, is a function of the number of sales, s, they had in that week.

Salesman A Salesman B Salesman C
s = 0 (0, ) (0, ) (0, )
s = 1 (1, ) (1, ) (1, )
s 10 (10, ) (10, ) (10, )

Answers

Answer 84.500

Step-by-step explanation: you have to multiply 1,300x65 then 300x 40

and  then 12,000

Use mental math to find the sum.

150 + 20 + 25

Answers

Answer:


50 + 20 = 70
70 + 25 = 95
150 + 95 = 245

In conclusion, 150 + 20 + 25 equals to a total amount of 215.


Step-by-step explanation:

Have a great rest of your day
#TheWizzer

hemo

150 + 20 + 25

= 100 +50+20+20+5

= 100+90+5

=195

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