Mathematics High School

5 points A farmhouse shelters 10 animals. Some are goats and some are ducks. Altogether there are 36 legs. How many ducks and goats are there?​

Answers

Answer 1

Answer:

2 ducks and 8 goats

Step-by-step explanation:

let goat be g

let duck be d

d + g = 10

ducks have 2 legs, 2d

goats have 4 legs, 4g

2d + 4g = 36

making d the subject in the first equation;

d = 10 - g

put in second equation

2(10 - g) + 4g = 36

20 -2g + 4g = 36

2g = 36 - 20

2g = 16

g = 8

if g is 8

d = 10 - 8

d = 2

Related Questions

Select the correct answer.
What is the inverse of function f?

Answers

the correct answer is b and a

HELP ASAP WILL GIVE BRAINLYIST IF RIGHT AND EXTRA POINTS

List the simple shapes and to which you divided shape c and Measure their signs right all the measurements in inches


Answers

You have no information about the area or perimeter or any numbers in order to figure out their “measurements”? So I’m not sure exactly what you mean. I do know that shape a and b are squares?

can someone help me with geometry ​

Answers

whats the question then?

what is the question?

Giving brainliest and max rating.

Answers

Answer:

5+-2

Step-by-step explanation:

it

The slope of a given line is shown below. Find the slope of a line parallel to the given line and the slope of a line perpendicular to the given line.

M=5

The slope of a line parallel to the given line is m=___.

Answers

Answer:

The slope of a line parallel to the given line = 5

The slope of a line perpendicular to the given line = - 1/5

Step-by-step explanation:

Please please help help me please please ASAP ASAP please

Answers

Answer:1.b  2.i think 5x5   3.a

Step-by-step explanation:

there your ANWERS

Simplify. 1/4+x divided by 1/2

Answers

I think the answer is 1/4 + 2x :)

Answer:

= 1/4+2x

Step-by-step explanation:

i hope this helps :)

$120 for mowing 4 lawns =$_ per lawn

Answers

all you have to do here is divide how much money she made versus how many lawns they mowed.

120/4= 30

this means they made $30 per lawn

Rick bought a car for $17,500. Each year, the car's value decreases by 20%. At this rate, what can Rick expect the value of his car to be in 6 years? *
$1.12
$15,502.24
$4,587.52
$17,380.00

Answers

Answer:

His car would be worth $15,502.24

Step-by-step explanation:

20% of 17,500 is 350. 350 x 6 = 2,100. 17,500 - 2,100 = 15,400. But that is not an answer choice so be go to  the closest number which is $15,502.24

19. If 4 + 2(3x - 4) = 8, then 4x -4 =
4
8
6
2

Answers

Answer:

4

Step-by-step explanation:

First, solve for x:

4 + 2(3x - 4) = 8

4 + 6x - 8 = 8

6x = 12

x = 2

Now, plug x into 4x - 4:

4(2) - 4 => 8 - 4 = 4

it's has to be 4 my friend did it and she said she got it right hope this helps

Analyze this equation.
3 (x + 2) = 5x + 8
What is the value of x ?

A. -3
B. -1
C. 1
D. 3

Answers

The answer is b. Hope this helped

Answer:

=−1

Step-by-step explanation:

1. Distribute

2.Subtract 6 from both sides of the equation

3.Simplify

4.Subtract 5x from both sides of the equation

5.Simplify

6.Divide both sides of the equation by the same term

7.Simplify

so the answer is =−1

CT fffgghjkjhhgggggg​

Answers

Step-by-step explanation:

yhcugchvhv hyddd wasppp

Answer:

iuytfjgfgjhgyjuhguyhgvgfcfgcjhgvyhjnbm

Step-by-step explanation:

Step- by- step explanation

Annie and Rich watch a movie. When they start the movie, the time is 2:23 pm. When the movie ends, the time is 3:58 pm. How long is the movie?

Answers

Answer:

1 hour and 35 minutes!! :)

Step-by-step explanation:

Solve for x. I need help please​

Answers

Answer:

The answer is 1 & 7/8 or the middle option

the answer is 1^7/8 . the middle one! also you can scan this problem on Photomath to get your answer!

If a box of 100 pencils
costs $4.25, what
would you expect to
pay for 224 pencils?

Answers

Answer:

$9.52

Step-by-step explanation:

4.25 divided by 100 gets you 0.0425 then multiply that number by 224

The answer to your question $9.25

Mhanifa can you please help? Look at the picture attached. I will mark brainliest!

Answers

Answer:

Sum of exterior angles of a polygon is 360°

#8

2x + 2(64°) + 36° + 48° = 360°2x + 212° = 360°2x = 360° - 212°2x = 148°x = 74°

#9

x + 73° + 109° + 90° = 360°x + 272° = 360°x = 360° - 272°x = 88°

what is the slope?
please hurry!
y=-x - 3

Answers

Answer:

Step-by-step explanation:

slope =  

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y + 3 = (x - 2) is in this form

with slope m =

Answer:

-x is the slope

Step-by-step explanation:


Find the solution of the system of equations.
4x – 5y = 46
-4x – 4y = 8​

Answers

Answer:

(4,-6) or x=4 and y= -6

Step-by-step explanation:

Answer:

x = 4 ; y= -6

Step-by-step explanation:

-9y = 54

y = -6

4x +30 = 46

4x = 16

x = 4

The distance between Franklin City and Williamsville on a map is 3.2 inches. If the scale of the map is 1 inch = 15 miles, how many miles apart are the two cities?

Answers

Answer: 48 miles

Step-by-step explanation:

From the question, the distance between Franklin City and Williamsville on a map is 3.2 inches and the scale of the map is 1 inch = 15 miles.

The distance between the cities will be to multiply 3.2 by 15 to get the number of miles since 1 inch = 15 miles. This will be:

= 3.2 × 15 miles.

= 48 miles

The distance between Franklin City and Williamsville is 48 miles.

Answer:

48 Miles

Step-by-step explanation:

Good Luck

Simplify (8.3) 2.10.(6-1)​

Answers

Answer:

[tex]8 .3 \times 2.10.5[/tex]

Step-by-step explanation:

Simplify 6 - 1 to 5.

[tex]8.3 \times 2.10 .5[/tex]

Therefor, the answer is 8.3 × 2.10.5

which graph represents a function?

Answers

Answer:

D

Step-by-step explanation:

Its going in a direction that might go somewhere so I think D hope this helps

5. Given that Triangle EDF is congruent to Triangle QPR, what is the angle measurement
of Angle F? Fill in the blank with just the number.

Answers

Answer: the answer is 30 I took the test

Step-by-step explanation:

x^2 - 36x -6 factorization​

Answers

Answer:

cannot factor further

Step-by-step explanation:

step 1: search online for factoring calculator

step 2: pick a site to use

step 3: enter problem and hit enter

step 4: see full solutions.

sorry I couldn't help more

Sam purchases five goldfish and an aquarium with a rectangular base. The aquarium measures twenty-four inches long, eight inches wide, and ten inches tall. Sam fills the aquarium with water so that one inch of space remains at the top. How many cubic inches of water are in Sam's aquarium?

Answers

Answer: [tex]1728\ in.^3[/tex]

Step-by-step explanation:

Given

The dimension of the rectangular base aquarium is [tex]24\ in.\times 8\ in.\times 10\ in.[/tex]

The gap between top and water level is [tex]1\ in.[/tex] i.e. water is filled up to a height of [tex]10-1=9\ in.[/tex]

Now, the dimensions of the water in the aquarium is [tex]24\ in.\times 8\ in.\times 9\ in.[/tex]

The volume of a rectangular base prism is [tex]l\times b\times h[/tex]

The volume of water in the aquarium is

[tex]\Rightarrow V=24\times 8\times 9=1728\ in.^3[/tex]

Factor 60y-90-20x to identify the equivalent expressions. Choose two answers.



5(14-16-4x)



2(30-45-10)



5(12y-18-4x)



10(6y-9-2x)

Answers

C & D
Step-by-step explanation:
One evident common factor between 60, 90, & 20 is 10 because all these numbers end in a 0; Therefore one way to factor the equation 60y - 90 - 20x is;
10 (6y – 9 – 2x)
5 is also a common factor between the numbers 60, 90, & 20
60/5 = 12; 90/5 = 18; 20/5 = 4
Therefore 60y - 90 - 20x is also equal to;
5 (12y – 18 – 4x)

Darrens garden is 4 4/6 feet long. Zanique’s garden is 2 1/3 shorter. Find the length of Zanique’s garden.

Answers

4 - 2 = 2

If you take 3 and add 3, you get 6, and if you take 1 and add 1 you get 2, so 2/6.

4/6 - 2/6 = 0.33333333333

So I'd say about 2.3333333333 is the length of Zanique's garden, in a fraction... um... 233333333333/10000000000

That's all I could come up with. Don't judge me

You bought a $1750 worth of stocks in
2012. The value of the stocks has been
decreasing by 12% each year. Let y = the
value of the stocks and let x = the
number of years since 2012. Write and exponential function to represent this situation.
What will your stock be worth in 2020? Round your answer to the nearest cent.

Answers

Answer:

f(x) = 1750 x 0.88^x

It will be worth $629.36 in 2020.

Step-by-step explanation:

I need help ASAP Will give brainliest

Answers

35.4 is your answer, i believe

I NEED HELP !!!!!
Isabella opened a savings account and deposited $25,000.00. The account earns 20% interest, compounded annually. If she wants to use the money to buy a new car in 2 years, how much will she be able to spend on the car?

Answers

In 2 years, she will be able to spend $36,000 on a new car.

Answer:

$11,000

Step-by-step explanation:

1st year the account earned 20% from $25,000 = $5,000 | total = $30,000

2nd year the account earned 20% from $30,000 = $6,000

by adding the earnings of 2 years, she will be able to spend $5,000 + $6,000 = $11,000

What is the solution to the equation?

Answers

Answer:

Step-by-step explanation:

[tex]\sqrt[3]{x+4}+\sqrt[3]{2x +8}=0\\\\\sqrt[3]{x+4}= -\sqrt[3]{2x + 8}\\\\(x +4)^{\frac{1}{3}}=-(2x+8)^{\frac{1}{3}}\\\\[/tex]

Take cube,

[tex][(x+4)^{\frac{1}{3}}]^{3} =- [(2x +8)^{\frac{1}{3}}^{3}]\\\\(x+4)^{3*\frac{1}{3}}=-(2x + 8)^{3*\frac{1}{3}}\\\\[/tex]

x + 4 = - (2x + 8)

x +4 = 2x *(-1) + 8 *(-1)

x+ 4 = -2x - 8

x +2x+4 = - 8

3x + 4 = - 8

      3x = - 8 -4

      3x = -12

        x = -12/3

x = -4

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