A farmhouse shelters 7 animals. Some are horses and some are ducks. Altogether there are 20 legs. How many of each animal are there?

A Farmhouse Shelters 7 Animals. Some Are Horses And Some Are Ducks. Altogether There Are 20 Legs. How

Answers

Answer 1

Answer:

3 horses and 4 ducks

Step-by-step explanation:

let h be the no. of horses and d be the no. of ducks

h+d=7

d=7-h

Since horses have 4 legs and ducks have 2 legs,

4h+2d=20

4h+2(7-h)=20

4h+14-2h=20

2h=6

h=3

d=4


Related Questions

5. In the picture shown, point D is the image of point A after a clockwise rotation about point C
by 136 . Points B, C, and D are collinear. Which statement below must be true?


Answers

Answer:

hhmmmmmhmmmm hmhmmmm hmmm yeah i got nothing

Step-by-step explanation:

8(a+2)+2(2+3a)=8(a+2)+2(2+3a

Answers

Answer:

?__________*_*__________?

Write an equation.
Find the constant of proportionality and write an equation for the proportional relationship.

y = 10 and x = 8

Answers

Given:

y is proportional to x.

y=10 and x=8.

To find:

The constant of proportionality and the equation for the proportional relationship.

Solution:

y is proportional to x.

[tex]y\propto x[/tex]

[tex]y=kx[/tex]               ...(i)

Where, k is the constant of proportionality.

Putting y=10 and x=8, we get

[tex]10=k(8)[/tex]

[tex]\dfrac{10}{8}=k[/tex]

[tex]\dfrac{5}{4}=k[/tex]

Putting [tex]k=\dfrac{5}{4}[/tex] in (i), we get

[tex]y=\dfrac{5}{4}x[/tex]

Therefore, the contestant of proportionality is [tex]k=\dfrac{5}{4}[/tex] and the equation for the proportional relationship is  [tex]y=\dfrac{5}{4}x[/tex].

plssss help i just cant figure it out

Answers

It is just two as you are dividing a negative by and negative turns into a positive

Which value for x makes the sentence true?

18x = 360

Answers

Answer:

X=20

Step-by-step explanation:

360/18=20

Answer:

x=20

Step-by-step explanation:

18x=360

divide both sides by 18x

[tex]\frac{18x}{18}[/tex]=[tex]\frac{360}{18}[/tex]

simplify

x=20

hope this helps :) have a nice day !!

who ever XxLunaMoonxX is stop spreading false rumors abt people cuz they aint true

Answers

Answer:

oop

Step-by-step explanation:

Answer:

who?

Step-by-step explanation:

(IMPORTANT!!!) Identify the function shown in this graph.

Answers

the correct answer is b) y=3x-2

If a spinach pie is cut into 10 equal pieces, then what is one piece
written as a fraction and as a decimal

Answers

Answer:

If a spinach pie is cut into 10 equal pieces, the fraction form of it is 1/10 and the decimal form is 0.1

Step-by-step explanation:

10 pieces

10/10 total

1 slice: 1/10

1 = whole pie

split into 10 equal peices =

0.1

3n - 17 = -50
two step equations help please

Answers

Answer:

n = -11

Step-by-step explanation:

3n - 17 = -50

⇒ 3n = -33

n = -11

Answer:

n = -11

Step-by-step explanation:

3n - 17 + 17 = -50 + 17

3n = -33

3n/3=-33/3

n = -11

HELP!! due right now!! giving brainlest?

Answers

Answer:

45

Step-by-step explanation:

7+11= 18

18/2=9

9*5=45

1 2/3 −3/4= _ −_=
Rewrite using twelfths.

Answers

See the explanation I made for you!
Have a nice day!

PLEASE HELP ASAP!!!!!!!!!!!!!!!!

Answers

Answer:

2x-3= -6

Step-by-step explanation:

have a great day!

Write an equation that represents the line.

Answers

Answer:

COORDANITE GRID

Step-by-step explanation:

I think y=5/6x I’m sorry if it’s wrong

ILL GIVE YOU BRAINLIEST

Answers

Answer:

ITS A 100% B

15z-12

Step-by-step explanation:

Solve the system of equations by elimination
3x+2y=3
2x+3y=2

Answers

Answer: x  =  1  ,  y  =  0

Step-by-step explanation:

hope this helps :)

-1 2/3 divided by (-2 1/5)

Answers

Answer:0.75757575757

Answer:

Fraction Form

25/33

Decimal Form

0.75

Step-by-step explanation:

First, convert the mixed fraction into an improper fraction, so it would look like:

-5/3 / (-11/5)

Next, divide. Remember, when multiplying fractions all you do is flip the one in parantheses and make both of them positive, so it would look like:

5/3 x 5/11

Finally, multiply so you do the two top numbers which is 5 x 5= 25 and the two bottom numbers so 11 x 3 is 33. Then your final answer is 25/33

PLS I NEED HELP ASAP I DONT HAVE TIME IT ALSO DETECTS IF IT RIGHT OR WRONG.

Answers

12 inches, 180/30 is 6 and 2x6 is 12

12!!!!!!!!!!!!!!!!!!!!!!!!!!!!

could someone answer this pls thank u

Answers

Given:

The area model.

The area of the shape is 82 square units.

To find:

The correct equation for the given situation.

Solution:

We know that, area of a rectangle is

[tex]Area=Length \times Width[/tex]

The figure is divided into 3 rectangles. Using this formula, the area of each rectangle is

[tex]A_1=(x)\times (3x)=3x^2[/tex]

[tex]A_2=(x)\times (4)=4x[/tex]

[tex]A_3=(3)\times (3x)=9x[/tex]

Now, the total area is equation to 82 square units.

[tex]A_1+A_2+A_3=82[/tex]

[tex]3x^2+4x+9x=82[/tex]

[tex]3x^2+13x=82[/tex]

Since the required equation is [tex]3x^2+13x=82[/tex], therefore, the correct option is C.

Collin Buys a TV for £720 depreciate at a rate of 4% per year how much will it be worth in three years

Answers

Answer:

The worth of the TV after 3 years is £809.90208

Step-by-step explanation:

The answer to given question can be found from the anual depreciation formula and solving for the Future Value (F. V.) of the machine

The given parameters of the TV are;

The amount at which Collin buys the TV, P = £720

The rate at which the TV depreciates at, R = 4%

The number of years the depreciation is applied, T = 3 years

The amount the TV is worth after three years, 'A', is given as follows;

[tex]A = P \cdot \left(1 + \dfrac{R}{100} \right )^T[/tex]

By plugging in the known values, we have;

[tex]A = 720 \cdot \left(1 + \dfrac{4}{100} \right )^3 = 809.90208[/tex]

The amount the TV is worth after three years, A = £809.90208

Evaluate the expression for r = 9. 15 + r =

Answers

If R = 9, then you just add 15+9 = 24 that is my answer

What is the surface area of a cylinder with a base diameter of 8 inches and a height of 5 inches. Use 3.14 for pie.

Answers

Answer:

surface area=226.12 in^2

Step-by-step explanation:

8x3.14x5=circular area=125.6

(8/2)^2 x 3.14=0ne end of cylinder area=50.26

125.6+50.26+50.26=226.12

I need help finding the equivalent expression​

Answers

Answer:

6(4c-1z)

Step-by-step explanation:

11.1 x 0.8 x 1.16 x 0.4

Answers

Answer: 4.12032 which is also equivalent to 4:12

Angela has $35.41 in her savings account. She really
wants to buy some songs and an app.
Angela spent $35.41 on everything. How much
money does Angela now have in her savings
account?

Answers

Answer:

0 because she spent it all

Step-by-step explanation:

35.41-35.41= 0

and why are songs $35.41

she has nothing left

What is the positive solution to this equation?

4x²+12x=135​

Answers

Answer:

4.5

Step-by-step explanation:

SOMEBODY PLEASE HELP DUEE IN 20 MINUTES!!

Answers

x7 for the 6th equations

Jane invests £1,200 in a bank account which
earns interest at the rate of 6% per annum.
Find the value of a) the investment after 5
years

Answers

Answer:

£1560

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 6%/100 = 0.06 per year,

then, solving our equation

I = 1200 × 0.06 × 5 = 360

I = £ 360.00

The simple interest accumulated

on a principal of £ 1,200.00

at a rate of 6% per year

for 5 years is £ 360.00.

si = prt/100

i= 1200 * 6 * 5/ 100
= 360

Reshawn is buying 3 books in a trilogy set for $24.81. He will save $6.69 by buying the trilogy set instead of buying individual books. If each book costs the same amount, how much does each of the 3 books cost when purchased individually? Show your work.

Answers

$10.50

Explanation:

Let x be the cost of the individual books. Then 24.81=3x−6.69

3x= 24.81+ 6.69 =31.50

x=31.50/3=10.50

Susan said, "I multiplied 100 by 47, and then I removed one group of 47." Write an expression to represent how Susan solved 99x47. Then evaluate the expression.

Answers

Answer:

The expression of how Susan solved 99 × 47 is;

99 × 47 = 100 × 47 - 47

The evaluation of the expression is;

99 × 47 = 4653

Step-by-step explanation:

The question relates to the simplification of the multiplication of two numbers by the use of a combination multiplication of one of the numbers, 'x', with the nearest 10s or 100s of the other number, 'y', followed by the subtraction or addition operation of the product between the number 'x' and the difference between the specified 10s or 100s and 'y';

The given information on how Susan solved the equation 99 × 47 can be presented as follows;

99 × 47 = (100 - 1) × 47 = 100 × 47 - 47

The expression of how Susan solved 99 × 47 is therefore presented as follows;

99 × 47 = 100 × 47 - 47

The evaluation of the expression is therefore given as follows;

100 × 47 - 47 = 4700 - 47 = 4653.

ILL GIVE YOU BRAINLIEST SHOW YOUR WORK

Answers

Answer:

$94.12

Step-by-step explanation:

($94.11 + $52.75) + (-$25.20 + -$22.04 + -$8.50) =

($146. 86) - (-$55.74) =

$94.12

$94.12 is the account balance at the end of the month.

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