In a farm, ratio of number of cows to number of hens is 2:3. If the number of legs is 40 more than number of eyes, total of how many hens are there in the farm?​

Answers

Answer 1

Answer:

30 hens, 20 cows.

Step-by-step explanation:

Step one:

let the number of cows be x

and the number of hens be y

Each cow has 2 eyes, each hen has 2 eyes also.

the total number of eyes is

2x+2y

Each cow has 4 legs, each hen has 2 legs.

the total number of legs is

4x + 2y

Step two:

the number of legs exceeds the number of eyes by 40:  

4x+2y - (2x+2y) = 40

open bracket

4x+2y-2x-2y=40

4x-2x=40

2x=40

Divide both sides by 2

x=40/2

x=20

Step three:

we know also that x = 2/3*y, so y = 3/2*x = 3/2 * 20 = 30

30 hens, 20 cows.

Check:

60 + 40 eyes = 100, 60 + 80 legs = 140legs.


Related Questions

Someone please help me with this

Answers

Answer:

105

Step-by-step explanation:

You would multiply 7 by 15 to get 105 oz.

Answer:

the answer for the one below 15 is 105

Step-by-step explanation:

since all the problems are related to 7 (1 x 7, 7 x 10)  you would do 15x7, which gives you 105.

Plz give brainliest if correct :-)

help ill mark you brainliest

Answers

Answer:

I attached all my solutions, hope you will understand it!

Find the slope of the line that passes through (3,-7) and (-6,5).

Answers

Answer:

9,12?

Step-by-step explanation:

The outdoor temperature is 4 degrees below 0, or

.

-4 0 4


The indoor temperature is 72 degrees above 0, or

.

-72 0 72

Answers

Answer:  The outdoor temperature is 4 degrees below 0 or -4 degrees.

The indoor temperature is 72 degrees above 0 or 72 degrees.

Step-by-step explanation:

We use negative integer to represent loss, below , or withdrawal etc.

On the other hand we use positive integers to show gain , above , deposit etc.

Given statement :   The outdoor temperature is 4 degrees below 0.

So we will represent it by -4 degrees.

The indoor temperature is 72 degrees above 0.

So we will represent it by +72 or 72 degrees.

Answer:

The outdoor temperature is 4 degrees below 0, or

✔ –4

.

The indoor temperature is 72 degrees above 0, or

✔ 72

.

Step-by-step explanation:

Edge instruction

Ariel buys 2 fish tanks at the pet store. Each
tank holds 9.7 liters of water. How many liters
of water will she need to fill both tanks?

Answers

Answer:

19.4 liters

Step-by-step explanation:

You get 19.4 by multiplying 9.7 by 2 which = 19.4

Answer:

19.4

Step-by-step explanation:

The reason is because If one fish tank holds 9.7 liters. Then you will need to double that to get how many 2 liters is.

What is the mean of 8,7,6,9,8.5,7.5,10,5.5,7,9,8.5,7,9.5,8,8.5

Answers

Answer:

the mean is 7.93

Step-by-step explanation:

min5.5

median8

max10

Question 1 of 17
W
Given a sphere with a radius of 3 cm, find its volume to the nearest whole
number.
O A. 38 cm3
B. 113 cm3
C. 13 cm3
D. 36 cm3

Answers

I’m pretty sure it’s D

Answer:

B. 113 cm^3

Step-by-step explanation:

write an equation in point-slope form of the line that passes through the (7,-4) and has a slip of m=-6?

Answers

Answer:

y+4=-6(x-7)

Step-by-step explanation:

Point slope form is giving by the equation

y - y = m (x - x)

M being the slope and y and x being points

All you have to do is plug in your slope and point:

(y + 4) = -6 (x - 7)

18.96 x 2.03 correct to two significant figures equals​

Answers

Answer. 18.96 by 2.04 ur ans will become 0.10706751055.

select all expressions to 6x-24​

Answers

Answer:

it's the first one and the third one

Step-by-step explanation:

cause 6 (X - 4) multiply by 6 by X and 4

and same for the third expression.

Answer:

1st and 3rd

Step-by-step explanation:

6(x - 4) = 6x - 24

3(2x - 8) = 6x - 24

Plsssss help before it gets locked

Answers

A. Is answer F

B. Could be E or F

Answer:

uhhh i might be l;ate lol

Step-by-step explanation:

Find two numbers the quotient between. Then estimate the quotient. 41÷3

Answers

Answer:

The quotient is between 10 and 15, and the exact answer is 13 with the remainder of 2: 13R2.

Step-by-step explanation:

41 ÷ 3 is a very long answer so do 39 ÷ 3 which equals 13 and since you can't divide 2 by three without negatives, just do it as a remainder of 2, or R2, which means the answer is 13 with the remainder of 2, or just 13R2.

Select all of the solutions to the equation below.



12x2=24




−23–√


23–√


−2–√


2–√


−2


2

Answers

Answer:

12 x 2+23 x −24=0. Enter an equation ... The first term is, 12x2 its coefficient is 12 . ... B ± √ B2-4AC x = ———————— 2A In our case, A = 12. B = 23. C = -24

Step-by-step explanation:

12 x 2+23 x −24=0. Enter an equation ... The first term is, 12x2 its coefficient is 12 . ... B ± √ B2-4AC x = ———————— 2A In our case, A = 12. B = 23. C = -24

What is the domain of the following set of ordered pairs? {(7,1),(5,-4), (-3,3), (-6,-9)}​

Answers

Answer:

the domain(s) are 7, 5,-3, and -6.

Step-by-step explanation:

the domain is the x which can repeat. the range is the y which can't repeat.

A warehouse floor has a perimeter of 6,615 feet. What is the perimeter of the floor in yards? (1 yd = 3 ft) 2,205 yd 19,845 yd 78,380 yd 735 yd x Clear answer​

Answers

Answer:

2,205 yd.

Step-by-step explanation:

1 yard=3 feet so you divide the number of feet by 3 to get the amount of yards.

Find the indicated side of the
triangle.
D
450
a = [?]

Answers

Answer:

Step-by-step explanation: 6

Answer: is 7

seven is the indicated side of the triangle

What is a correct first step in solving the inequality –4(3 – 5x)≥ –6x + 9?

–12 – 20x ≤ –6x + 9
–12 – 20x ≥ –6x + 9
–12 + 20x ≤ –6x + 9
–12 + 20x ≥ –6x + 9

Answers

Answer:

-12 + 20x ≥ -6x + 9

Fourth choice

Step-by-step explanation:

Inequalities

We are given the inequality:

-4(3 - 5x) ≥ -6x + 9

Solving the inequality implies having x isolated on one of the sides.

We must start by removing the parentheses. It will be done by multiplying -4 by (3 - 5x). Since this operation doesn't imply multiplying all the inequality by a negative number, the sign won't be flipped:

-4*3 - (-4)5x ≥ -6x + 9

Multiplying:

-12 + 20x ≥ -6x + 9

Fourth choice

Of all airline flight requests received by a certain discount ticket broker, 60% are for domestic travel (D) and 40% are for international flights (I). Let x be the number of requests among the next three requests received that are for domestic flights. Assuming independence of successive requests, determine the probability distribution of x. (Hint: One possible outcome is DID, with the probability (.6)(.4)(.6) = .144)
Value of x Probability
0
1
2
3

Answers

Answer:

We have a binomial probability distribution, in which:

P(X = 0) = 0.064

P(X = 1) = 0.288

P(X = 2) = 0.432

P(X = 3) = 0.216

Step-by-step explanation:

For each flight, there are only two possible outcomes. Either it is for domestic travel, or it is for international travel. Flights are independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Let x be the number of requests among the next three requests received that are for domestic flights.

3 flights, and 60% are for domestic travel. This means that [tex]n = 3, p = 0.6[/tex]. The probabilities are given by:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{3,0}.(0.6)^{0}.(0.4)^{3} = 0.064[/tex]

[tex]P(X = 1) = C_{3,1}.(0.6)^{1}.(0.4)^{2} = 0.288[/tex]

[tex]P(X = 2) = C_{3,2}.(0.6)^{2}.(0.4)^{1} = 0.432[/tex]

[tex]P(X = 3) = C_{3,3}.(0.6)^{3}.(0.4)^{0} = 0.216[/tex]

Right Triangle ABC is shown on the grid below.
What value BEST represents the length of AB?
5 units
65 units
97 units
13 units

Answers

Answer:

Step-by-step explanation:

What is the value of t that satisfies the equation below? 3(t + 4) – 2(2t + 3) = -4

Answers

Answer:

10

Step-by-step explanation:

The city is issuing bonds to raise money for a building project. You obtain a $1000 bond that pays 9% interest annually that matures in 7 years. How much interest will you earn?

Answers

Answer:

$630

Step-by-step explanation:

1000 x .09 = 90

90 x 7 = 630

The interest earned after 7 years = $630

What is Face value?

Face value is a term in finance which is used to explain the nominal value of a security.

For stocks, it is defined as the cost of the stocks and it is defined as the amount paid to the holder after maturity for bonds.

In the question, is is given that $1000 bond is obtained.

Face value of the bond = $1000

The bond pays 9% interest annually.

Interest rate = 9% = 0.09

So the interest you earn annually = face value × interest rate

                                                        = 1000 × 0.09 = $90

The bond matures in 7 years.

Interest earned on maturity = 90 × 7 = $630

Hence, the amount of interest earned after 7 years will be $630.

To learn more on Face value, click:

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Jane has 12 deck chairs and she has painted 1/4 of them yellow. How many are unpainted?

Answers

answer is 9

Step-by-step explanation:

12/4=3

1/4=3

3/4=9

Answer:3

Explanation: 12 chairs divided by 1/4 of the painted chairs equals 3 unpainted chairs.


Hopefully this helps

MATHEMATİCS
Pleaseeee .

Answers

Uh I don’t even know

You typically buy all of your groceries at Grocery Mart. This week, your favorite cereal is on sale there, 4 boxes for $10. At Food Market, where you don’t typically shop, the same cereal is on sale for $2.25 a box.

Answers

Answer:

B. Food market

Step-by-step explanation:

You typically buy all of your groceries at Grocery Mart. This week, your favorite cereal is on sale there, 4 boxes for $10. At Food Market, where you don’t typically shop, the same cereal is on sale for $2.25 a box. Based on price, which is the better value option?

A.Grocery Mart

B. Food Market

Grocery market:

4 boxes for $10

Unit price = cost / quantity

= $10 / 4 boxes

= $2.50 per box

Food market:

Price per box = $2.25

The better value option based on price is food market because it cost less to buy a box of cereal than grocery mart

Can someone pls help me solve thiss

Answers

Answer:

The value of x = 9

Step-by-step explanation:

Given the angles of the triangle

(13x+2)°(5x-7)°(3x-4)°

We know that the sum of angles of a triangle is 180°.

Therefore,

(13x+2)° + (5x-7)° + (3x-4)° = 180°

13x+2 + 5x-7 + 3x-4 = 180°

21x + 2 - 11 = 180°

21x - 9 = 180°

21x = 180° + 9

21x = 189

divide both side sby 21

21x/21 = 189/21

x = 9

Therefore, the value of x = 9

Bernard is 5 years younger than twice Mitchell’s age. How old is Mitchell if the total age is 35 years old?

Answers

Answer: 0<x<10

Step-by-step explanation:

You need 4/5 of cup of strawberries for a single pie.How many cups are needed for 2 pies

Answers

Answer:

1 3/5 cups.

Step-by-step explanation:

That would be 4/5 * 2

= 8/5

= 1 3/5 cups.

[tex]1\frac{3}{5}[/tex] cup are needed for 2 pies.

What is a fraction?

'A fraction is numerical value that is a part of a whole. It is evaluated by dividing a whole into number of parts.'

[tex]\frac{4}{5}[/tex] of cup of strawberries needed for 1 pie

[tex]\frac{4}{5}[/tex]* 2 cup of strawberries needed for 2 pies

Hence, we can conclude, [tex]\frac{8}{5}[/tex] cups or [tex]1\frac{3}{5}[/tex] cups of strawberries needed for 2 pies.

Learn more about fractions here: https://brainly.com/question/19423643

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please help!!!!!!!!!!​

Answers

Answer:

Step-by-step explanation:

p + n + d + q = 25

Put everything into quarters.

p and q are equally likely to be drawn

q + n + d + q = 25

There are 3 times as many nickels as quarters

n = 3q

q + 3q + d + q = 25

There is 25% more dimes than quarters.

d = 1.25 q

q + 3q + 1.25q + q = 25

6.25 q = 25

q = 25/6,25

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

q = 4

p = 4

d = 1.25 * 4 = 5

n = 12

WILL GIVE 5 STAR IF CORRECT: Chasity purchased a pool for $9,270 using a six-month deferred payment plan with an interest rate of 17.95%. She did not make any payments during the deferment period. What will Chasity's monthly payment be if she must pay off the pool within four years after the deferment period? (4 points)



$297.41



$193.13



$560.59



$211.12

Answers

Answer:

$297.41

Step-by-step explanation:

Given that:

Amount = 9270

Derferred period = 6 months = 0.5 yr

Rate = 17.95% = 0.1795

Amount = 9270(1 + 0.1795)^0.5

Amount = 9270(1.1795)^0.5

Amount = 10067.663

PV = 10067.663

Number of months, n = 48

Monthly amount to be paid :

rp = rate per period = 0.1795/12 = 0.0149583

(rp * PV) / 1 - (1 + rp)^-n

(0.0149583 * 10067.663) / 1 - (1 + 0.0149583)^-48

150.5951234529 / 0.5096723

= 295.47441

Closest option is $297.41

A principal of $2600 is invested at 7% interest, compounded annually. How much will the investment be worth after 13 years?
Use the calculator provided and round your answer to the nearest dollar.

Answers

Answer:

The total amount accrued, principal plus interest,  from compound interest on an original principal of  $ 2600 at a rate of 7% per year  compounded 1 time per year  over 13 years is $ 6266.

Step-by-step explanation:

Given

Principle P =  $2600

Interest rate r = 7% = 0.07

Time period t = 13 years

Compounded annually means: n = 1

To determine

Accrued Amount = ?

Using the formula

[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]

substituting P = 2600, r = 0.07, t = 13, n = 1

[tex]A\:=\:2600\left(1\:+\:\frac{0.07}{1}\right)^{1\left(13\right)}[/tex]

[tex]A=2600\left(1+0.07\right)^{1\cdot \:13}[/tex]

[tex]A = 6266[/tex] $

Therefore, the total amount accrued, principal plus interest,  from compound interest on an original principal of  $ 2600 at a rate of 7% per year  compounded 1 time per year  over 13 years is $ 6266.

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