A farm raises cows and chickens. The farmer has a total of 46 animals. One day he counts the legs of all his animals and realizes he has a total of 156 legs. How many cows does the farmer have?

Thanks in advance, I really appreciate it :)

Answers

Answer 1

Answer:

Step-by-step explanation:

lets note a= chickens

b=cows

a+b=46

also = chickens has 2 legs, cow=4 legs

2a+4b=156..........we divide this equation by 2 so we can work with smaller numbers

a+2b=78 or we cam write a=78-2b

lets replace in the first equation a+b=46

78-2b+b=46

-b=46-78

-b=-32  multiply by -1

b=32

so we have 32 cows with 128 legs

a+32=46

a=14 chickens with 28 legs


Related Questions

PLZ Help

Your school carnival charges $2 for admission and $.50 for
each game. You go to the carnival with $5.50. Write and solve
an inequality that represents the possible number of games
you can play. What is the maximum number of games you can
play?

Answers

Answer:

5.50=2+0.50x

Step-by-step explanation:

find angle between u = and v =

Answers

Answer:

U= 2i - 1i and V= 3i + ji

Step-by-step explanation:

I hope that is the correct answer

EC - The ratio of three numbers is 2:7:1.
The sum of the numbers is 30. What are the
three numbers?

Answers

Answer: 6, 21, 3

Step-by-step explanation:

2:7:1

Also, 2x 7x and 1x or just x

2x+7x+x = 30

10x = 30

x=3

So the three numbers: 2(3):7(3):1(3) OR 6:21:3

Piont P is plotted on the coordinate grid. If point S is 10 units to the left of point P, what are the coordinates of point S?

Answers

Answer:

the answer is b

Step-by-step explanation:

because p is at (6,4) and its moving to the left so the y wont change but the x will so subtract 10 units from 6 and you get -4.

if you buy $200 headphones and you get 25% off how much money will you save?

Answers

Answer: You'll save $50

Work: I just did $200 multiplied by .25 (Percentage of Coupon) and I received the answer $50.

I hope this helps, and Happy Holidays! :)

Super easy!!!!
Which material will heat up the quickest? *
asphalt
cement
steel painted white
Sod

Answers

Answer:

steel painted white

Step-by-step explanation:

what is sod?

Answer:

Sod.

Explanation:

Sod is surprisingly good at aiding in the heating process!

Even while wet, it will accelerate the heating process.

A particular fruit's weights are normally distributed, with a mean of 331 grams and a standard deviation of 23 grams. If you pick 15 fruits at random, then 14% of the time, their mean weight will be greater than how many grams?

Answers

Answer:

337.41366

Step-by-step explanation:

Given that:

Mean = 331 grams

Standard deviation = 23 grams

Sample size (n) = 15

P(Z < x) = 14% = 0.14

Obtain the Zscore corresponding to (1 - 0.14) = 0.86

P(z < 0.86) = 1.08

Zscore = 1.08

Zscore = (x - mean) / s/√n

1.08 = (x - 331) / 23/sqrt(15)

1.08 = (x - 331) / 5.9385744

X - 331 = 6.4136604

X = 6.4136604 + 331

X = 337.41366

If you made $47,000 in 2020, and are getting a 3% raise, how much will you make in 2021? *

Answers

Answer:

48,410$ in 2021

Step-by-step explanation:

3% of 47,000 is 1,410

add the 3% increase to 47,000 to get 48,410$

Answer:

[tex]48[/tex],[tex]410[/tex]

Step-by-step explanation:

__________________________________________________________

[tex]47[/tex],[tex]000[/tex] [tex]in[/tex] [tex]2020[/tex]

[tex]48[/tex],[tex]410[/tex] [tex]in[/tex] [tex]2021[/tex]

__________________________________________________________

[tex]This[/tex] [tex]is[/tex] [tex]because[/tex] [tex]3[/tex]% [tex]of[/tex] [tex]47[/tex],[tex]000[/tex] [tex]is[/tex] [tex]1[/tex],[tex]410[/tex]

[tex]47[/tex],[tex]000[/tex] + [tex]1[/tex],[tex]410[/tex] = [tex]48[/tex],[tex]410[/tex]

__________________________________________________________

Hope this helps! <3

__________________________________________________________

requires that the percentage of the plastic shelves that are defective be no more than 10%. If more than 10% are defective, the Prime Factor Company will reject the lot. To test this, the National Applicance Company randomly selects 573 of the shelves and has them inspected. It turns out that 70 are defective. Use this information and a 5% level of significance to determine if National Applicance should reject the batch.

Answers

Complete Question

The National Appliance Company makes refrigerators. One of its suppliers, the Exeter company, produces plastic shelves for the refrigerators and ships them in large lots. The National Appliance Company requires that the percentage of the plastic shelves that are defective be no more than 10%. If more than 10% are defective, the Prime Factor Company will reject the lot. To test this, the National Appliance Company randomly selects 573 of the shelves and has them inspected. It turns out that 70 are defective. Use this information and a 5% level of significance to determine if National Appliance should reject the batch.

Answer:

  The decision rule is  

Reject the null hypothesis  

The conclusion is  

There is no sufficient evidence to conclude that  proportion of defective shelf is less than or equal to 0.10  hence the National Appliance Company should reject that batch of shelfs

Step-by-step explanation:

From the question we are told that

    The population of defective plastics is  [tex]p = 0.10[/tex]

    The sample size is  n = 573

    The number of shelf that are defective is  k =  70  

     The level of significance is  [tex]\alpha = 0.05[/tex]

Generally the sample proportion is mathematically represented as

           [tex]\^ p = \frac{k}{n}[/tex]

=>       [tex]\^ p = 0.1222[/tex]

The null hypothesis is [tex]H_o : p \le 0.10[/tex]

The  alternative hypothesis is  [tex]H_a : p > 0.10[/tex]

Generally the test statistics is mathematically represented as

            [tex]z = \frac{\^ p - p }{ \sqrt{\frac{p (1 - p)}{ n } } }[/tex]

=>          [tex]z = \frac{ 0.1222 - 0.10 }{ \sqrt{\frac{0.10 (1 - 0.10 )}{ 573 } } }[/tex]

=>          [tex]z = 1.77[/tex]

From the z table  the area under the normal curve to the right  corresponding to  1.77   is

       [tex]p-value = P(Z > 1.77 ) = 0.038364[/tex]

From the question we are told that  [tex]p-value < \alpha[/tex] hence

  The decision rule is  

Reject the null hypothesis  

The conclusion is  

  There is no sufficient evidence to conclude that  proportion of defective shelf is less than or equal to  0.10  hence the company should reject theat batch of shelfs

     

please help me with the attachment below,will give brainliest

Answers

Answer:

(b) 8n-2n+14n

Hope this helps

Answer:

B) 8n - 2n - 14n

Step-by-step explanation:

What we know:

0 is our starting point.

We're going forward by 8n first, so that's the minuend. Indicate that with +8n.

We're going back twice. First by 2n, then by 14n, so those two are the subtrahends. Indicate these two as -2n and -14n respectively.

That completes the expression of 8n - 2n - 14n.

PLZ HELP WILL GIVE BRAINLIEST

Answers

Answer:

it is B trust me I know what im doing

Answer:

-16x - 10

Step-by-step explanation:

-8x - 2(5+4x)

Multiply -2 by the numbers within the parenthesis:

-8x - 10 - 4x

Combine like terms:

-16x - 10

what is the mode for 9,4,4,4,3,2

Answers

Answer:

Mode 4

Step-by-step explanation:

Mean x¯¯¯ 4.3333333333333

Median x˜ 4

Mode 4

Range 7

Minimum 2

Maximum 9

Count n 6

Sum 26

Quartiles Quartiles:

Q1 --> 3

Q2 --> 4

Q3 --> 4

Which expression represents 6 less than a number, n?

Answers

Answer:

n-6

Step-by-step explanation:

less than is subtraction

6 is taken away from n

n-6

Answer is n-6
I think sorry if it’s wrong

Gabi has 8 boxes of compact discs on each 6 shelves each box contains 10 cds. How many cds does gabi have

Answers

Answer:

480

Step-by-step explanation:

8 boxes

x

6 shelves -- 48x10

480

The ratio in the table for distance covered in meters to time taken in hours is constant
Distance Covered im
8
16
32
d
48
Time Taken ihr.
6
12 15 18
Let d = distance covered in 15 hr.
Let t = time taken to cover 8 m.
Which table shows the correct values for t and d?

Answers

The table that shows the correct t and d values is

Distance Covered (m)           Time Taken (hr)

8                                               6

32                                              15

How to determine the correct values for t and d?

The table of values is given as:

Distance Covered (m)           Time Taken (hr)

8                                               6

16                                              12

32                                              15

48                                              18

The distance covered in 15 hours is 32 m and the time taken to cover 8 m is 6 hours

When these values are extracted, we have:

Distance Covered (m)           Time Taken (hr)

8                                               6

32                                              15

The above represents the table that shows the correct t and d values

Read more about distance and time at:

https://brainly.com/question/13877898

#SPJ1

A statistics teacher was interested in the relationship between the number of days students waited to start a project and the score that project received (out of 100 points). Information was collected on several students and was used to obtain the regression equation ŷ = –3.64x + 96.5, where x represents the number of procrastination days and ŷ is the predicted grade. Which statement best describes the meaning of the y-intercept of the regression line?

AWhen the grade is 0, the predicted number of procrastination days is 0.
BWhen the grade is 0, the predicted number of procrastination days is 96.5.
CWhen the number of procrastination days is 0, the predicted grade is 3.64 points.
DWhen the number of procrastination days is 0, the predicted grade is 96.5 points.

Answers

Answer:

The best option is: When the number of procrastination days is 0, the predicted grade is 96.5 points.

Option D is correct option.

Step-by-step explanation:

The regression equation given is: [tex]y= -3.64x + 96.5[/tex]

where x represents the number of procrastination days and ŷ is the predicted grade.

Which statement best describes the meaning of the y-intercept of the regression line?

First we need to identify what is y-intercept in regression line.

The y-intercept of the regression line is the value of output y when x is 0.

So, when x = 0, the value of output is y-intercept

So, if x = 0

we get:

[tex]y= -3.64x + 96.5\\y= -3.64(0) + 96.5\\y=0+96.5\\y=96.5[/tex]

So, the best option is: When the number of procrastination days is 0, the predicted grade is 96.5 points.

Option D is correct option.

Answer:

i just did the test, the person above me is correct!

Step-by-step explanation:

At Edwards Middle School there are 8 teachers for every 136 students. There are 850 students enrolled at the school. How many teachers are needed?

Answers

Answer:

50

Step-by-step explanation:

one teacher per 17 students

There is one teacher for every 17 students

An adult seal at a marine park consumes 2,400 kilograms of food in one year. If it consumes the same amount of food every month, how many kilograms of food does the seal consume per month?​

Answers

2,400 divided by 12 is 200

it eat 200 a month gl

What is the equivalent addition problem -9.5 –(-8) – 6.5?

Answers

Answer:

8+8+8 or 9.5+8+6.5

I hope this helped u :)

Step-by-step explanation:

While printing material from the Internet, Greg used 10 pages of paper from a package of 500 sheets of paper. What percent of the paper did he use?

Answers

Answer:

2%

Step-by-step explanation:

The percentage of paper used is 2%

Pablo rented a truck for one day. There was a base fee of $17.95, and there was an additional charge of 82 cents for each
mile driven. Pablo had to pay $131.93 when he returned the truck. For how many miles did he drive the truck?
miles

Answers

ok so do 17.95x82 then with that answer divide it by 131.93

This is for fun type as many Christmas songs as you can below my fav will get brainiest you will get 35 points as well.

again this is for fun and also HURRY UP AND TYPE only 2 users get to do this

this is the last one so HURRY

Answers

Answer:

A

Step-by-step explanation:

Answer: All I want for Christmas is you lyrics lol

I don't want a lot for Christmas

There is just one thing I need

I don't care about the presents

Underneath the Christmas tree

I just want you for my own

More than you could ever know

Make my wish come true

All I want for Christmas is you, yeah

I don't want a lot for Christmas

There is just one thing I need

And I don't care about the presents

Underneath the Christmas tree

I don't need to hang my stocking

There upon the fireplace

Santa Claus won't make me happy

With a toy on Christmas Day

I just want you for my own

More than you could ever know

Make my wish come true

All I want for Christmas is you

You, baby

Oh, I won't ask for much this Christmas

I won't even wish for snow

And I'm just gonna keep on waiting

Underneath the mistletoe

I won't make a list and send it

To the North Pole for Saint Nick

I won't even stay awake to

Hear those magic reindeer click

'Cause I just want you here tonight

Holding on to me so tight

What more can I do?

Baby, all I want for Christmas is you

You, baby

Oh, all the lights are shining so brightly everywhere

And the sound of children's laughter fills the air

And everyone is singing

I hear those sleigh bells ringing

Santa, won't you bring me the one I really need?

Won't you please bring my baby to me?

Oh, I don't want a lot for Christmas

This is all I'm asking for

I just wanna see my baby

Standing right outside my door

Oh, I just want you for my own

More than you could ever know

Make my wish come true

Baby, all I want for Christmas... is you

You, baby

All I want for Christmas is you, baby

All I want for Christmas is you, baby

All I want for Christmas is you, baby

All I want for Christmas is you, baby

All I want for Christmas is you, baby

Step-by-step explanation:

Webster found this table in his algebra book. What are the y-intercept and slope of the line represented by this data?

x = 1,2,3,4
y=5,7,9,11

A.


y-intercept = 0; slope = 2



B.
y-intercept = 3; slope = 12

C.
y-intercept = 2; slope = 3

D.
y-intercept = 3; slope = 2

Answers

If you graph the given question, you would see that the answer is D.
D.
y-intercept = 3; slope = 2

Solve 5 (y + 10) = 7y

Answers

Answer:

25

Step-by-step explanation:

Hi there! In order to solve this equation, all you have to do is distribute the 5 to the (y+10) and then shift like terms. Once you do that, you would get 5y+50=7y, and then you subtract the 5y from the 7y in order to get the 50 by itself. That would get you 2y, and from there, you just simply divide the value of 50 by 2y- getting you to 25 as the value of y. I hope this helped! <3 (Please mark as branliest if I got this right!)

Answer:

y = 25

Step-by-step explanation:

Distribute 5 (y+ 10) to get

5y + 50 = 7y

subtract the 5y from both sides to get

50 = 2y

divide the 2 from 2y on both sides to get

25 = y, or y = 25

Write an inequality that represents the verbal expression. 9 less than a number n is less than 17

Answers

Answer:

9<n<17.

Step-by-step explanation:

how do I solve 7x+3=59​

Answers

Answer:7x+3=59

59-3

7x=56

Then you divide them both by 7

7x/7=56/7

Then you get your answer

X=?

I'll let you do the last part tho

Step-by-step explanation:

Mars is 1.5 AU. How many miles apart is Mars from the Sun?

Answers

Answer:

It would be 142 million miles

Step-by-step explanation:

Answer:

Mars is about 142 million miles away from the sun.

Three questions Please HELP!
At which point do the equations y=−2x+10 and y=x+4 intersect?(1 point)

(1,6)

(2,6)

(2,5)

(1,5)

2.If the two lines y1=−12x+5 and y2=2x+5 were to be graphed, what would their intersection point represent?



(1 point)

Their intersection point is the only point where different inputs into both functions yield different outputs.

Their intersection point is the only point where the same input into both functions yields different outputs.

Their intersection point is the only point where different inputs into both functions yield the same output.

Their intersection point is the only point where the same input into both functions yields the same output.


3.Given an equation y=−13x+5, explain the steps for using slope-intercept form to graph this equation.(1 point)

Use the y-intercept to plot the point (5,0). Then, using the y-intercept as a reference point, move right 3 units and up 1 unit, and plot a second point.

Use the y-intercept to plot the point (0,5). Then, using the y-intercept as a reference point, move left 1 unit and up 3 units, and plot a second point.

Use the y-intercept to plot the point (0,5). Then, using the y-intercept as a reference point, move left 3 units and up 1 unit, and plot a second point.

Use the y-intercept to plot the point (5,0). Then, using the y-intercept as a reference point, move left 3 units and up 1 unit, and plot a second point.

Answers

Answer:

2,6

Step-by-step explanation:

Answer:

1. (2,6)

2. C

3. B

Step-by-step explanation:

y = - 2x + 10

y = x + 4

SInce the two equation both equal y, we can said they are equal.

- 2x + 10 = x + 4

      - 10        - 10

- 2x = x - 6

- x     - x

- 3x = - 6

/-3        /-3

x = 2

Then we plug the x value into the equations and we will get the point that intersects y=-2x+10 and y=x+4.

- 2(2) + 10 = 2 + 4

- 4 + 10 = 6

6 = 6

This is true since both sides are equal.

The point that intersects y=-2x+10 and y=x+4 is (2,6).

2. If the two lines y1=−12x+5 and y2=2x+5 were to be graphed, what would their intersection point represent?

C) Their intersection point is the only point where different inputs into both functions yield the same output.

Ex: y=-2x+10 and y=x+4 both have the same solution which is (2,6).

3. Given an equation y=−13x+5, explain the steps for using slope-intercept form to graph this equation.

y = - 1/3x + 5

y = - 1/3(0) + 5

y = 5

Point: (0,5)

Slope: - 1/3

Rise over run (y/x) so up 3 and left 1.

B) Use the y-intercept to plot the point (0,5). Then, using the y-intercept as a reference point, move left 1 unit and up 3 units, and plot a second point.

8.
Mia's booth rental fee at a hair salon is $128 per week. Which table shows the sum of the amount that Mia will pay over the next 8 weeks?

Answers

Answer: If you're renting a chair/booth, it's making sure ALL of the costs ... That's $3000 in revenue generated per week or $150K in revenue ... It's waiting for hair to dry.

Step-by-step explanation:

8. A skateboard ramp is 5ft tall and is 12ft from the base of the ramp to the end. What is the length from the top of the ramp to the end?

Answers

Answer:

iacbsc kakwc s s k kd sdidv d lm vdfj

Step-by-step explanation:

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