Nick was surveying his field and saw some cows and ducks. Nick counted a total of 80 heads and
248 legs. Assuming there are no mutations in the animals, determine exactly how many ducks and
cows he saw. Let X represent the number of ducks and y represent the cows.
Total Equation:
Legs Equation:
How many ducks?
How many cows?

Answers

Answer 1

Answer:

y= 43

x= 37

Step-by-step explanation:

Legs: (43 x 4) + (37 x 2) = 248

Heads: 43 + 37 = 80


Related Questions

find the value of w and x​

Answers

x = 42°

because angle x and 42° are alternate angles which are equal (these angles are found on a ‘Z’ shape)

y = quite some steps (need to work out other letters beforehand)

w = 70° because w and 70° are corresponding angles (also equal and are found on ‘F’ shapes, thus F is easier to see if the line is extended or mathematically called along the transversal, the transversal is just a line that intersects two parallel lines)

The angle opposite x is also 42° because vertically opposite angles are equal.

Now, all the angles in a triangle add to 180° so y + w (70) + 42 = 180

y = 180-112
y = 68°

Hope this helps!!

dw its fine, i dont need the work. just give me the answer

Answers

Answer:

j = 35 - k

35 = j + k

k = 35 - j

(the 2nd, 3rd, and 4th one)

[tex]\large\sf\fbox\red{Question:-}[/tex]
check the injectivity and subjectivity of the function:

[tex] \sf \large f:N \longmapsto \: N \: given \: by \: f(x) = x {}^{3} .[/tex]​

Answers

Answer:

The function is injective but nor surjective

Step-by-step explanation:

We see that:

f(x) = x³

For any x₁ and x₂ ∈ N,

f(x) = x₁³ = x₂³ ⇒ x₁ = x₂, both are natural numbers

It it confirmed one-to-one, hence it is injective

Check the surjectivity:

f(x) = y ∈ N

x³ = yy = ∛x

Let y = 2, then:

2 = x³x = ∛2 ∉ N

Since x is not natural, the function is not surjective

Answer:

This function is injective only.

Step-by-step explanation:

N = natural numbers = positive whole numbers equal to or greater than 1.

Therefore [tex]N \rightarrow N[/tex] means that both the input and output are natural numbers.

A function is surjective if for every element in the codomain, there is at least one element in the domain.

Therefore, this function is NOT surjective.  For example, there is no natural number for x for which f(x) = 2.

A function is injective if for every element in the codomain, there is at most one element in the domain.  This is also called "One-to-One".

Therefore, this function IS injective as there is either none or only one value of x for each value in the codomain.

How many solutions in x=2+3 and 3x-6y=9

Answers

[] One solution

-> x = 2 + 3

-> 2 + 3 can only equal one thing, 5.

[] Invitinte solutions

-> 3x - 6y = 9

-> This is a linear equation, so it will go on forever. If you graph it you can find the solutions.

-> See attached

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

What is the correct order of operations for simplifying the expression 2 - 3x + 5 + 71 - 5x)2+x

Answers

Answer:

Your answer would be: square the binomial, distribute 7 inside the parentheses, and then combine like terms

Step-by-step explanation:

(6p+5) (6p-5)
find this using algebric identities

Answers

Answer:

[tex]36p^{2} - 25[/tex]

Step-by-step explanation:

Answer:

36p^2 - 25

Step-by-step explanation:

●Using the identity :-

●(a+b) (a-b) = a^2 - b^2

●Here, a = 6p and b = 5

=> (6p+5) (6p-5)

=> (6p)^2 - (5)^2

=> 36p^2 - 25

Hope it helps !!

3. Hildalgo cuts red fabric into two pieces. One piece
of fabric is five times as long as the other piece. If
the smaller piece is 15 cm long, how long was the
whole piece of fabric before it was cut?

Answers

Answer:

well the other piece is 75cm that means the whole fabric is 90cm

HELP PLEASE THANK YOU !!!!!

Answers

Answer:

00248DNE

Step-by-step explanation:

1.

  f(g(2)) = f(0) = 0

2.

  g(f(2)) = g(2) = 0

3.

  f(f(2)) = f(2) = 2

4.

  g(g(2)) = g(0) = 4

5.

  (f+g)(4) = f(4) +g(4) = 4 +4 = 8

6.

  (f/g)(2) = f(2)/g(2) = 2/0   ⇒   DNE

_____

To find the value of the function on the graph, locate the x-value on the horizontal axis and work up the vertical line to the curve of interest. Read the value of that point from the vertical scale.

How much material, in square inches, is needed to make the flag? square inches If the material costs $0. 15 per square inch, how much will Marta spend on materials to make the flag? $.

Answers

The amount of material needed by Marta to make the flag is;

[tex]\rm Area =\sqrt{50(50-d_1)(50-d_2)(50-d_3)}[/tex] square inch.

The total cost of making the flag is;

[tex]\rm 0.15 \times\rm \sqrt{50(50-d_1)(50-d_2)(50-d_3)}[/tex] dollar.

Given

Marta is making a flag with the given dimensions.

The perimeter of the flag is 100 inches.

Let us consider that the flag has a triangular shape.

Hero's formula;

According to the Hero's formula;

The area of the triangle is given by;

[tex]\rm Area =\sqrt{s(s-a)(s-b)(s-c)}[/tex]

Where, s is the semi perimeter and a, b, and c are the sides of the triangle.

Semi perimeter s = P/2,

Since the perimeter of the flag is 100 inches.

[tex]\rm S=\dfrac{100}{2}\\\\S=50[/tex]

The dimensions of triangular shape are [tex]\rm d_1, d_2 \ and \ d_3[/tex].

Then,

The area of the triangular flag becomes;

[tex]\rm Area =\sqrt{s(s-a)(s-b)(s-c)}\\\\\rm Area =\sqrt{50(50-d_1)(50-d_2)(50-d_3)}[/tex]

So the amount of material needed to make the flag is;

[tex]\rm Area =\sqrt{50(50-d_1)(50-d_2)(50-d_3)}[/tex]

Therefore,

The cost of material = C = $0.15 per square inch

So the total cost in making the flag will be;

[tex]\rm C\times A=0.15 \times A\\\\=0.15 \times\rm \sqrt{50(50-d_1)(50-d_2)(50-d_3)}[/tex].

Hence, The amount of material needed by Marta to make the flag is [tex]\rm Area =\sqrt{50(50-d_1)(50-d_2)(50-d_3)}[/tex].

To know more about Hero's formula click the link given below.

https://brainly.com/question/24399817

What is the greatest common monomial factor of _________ ?

Answers

Answer:

A

Step-by-step explanation:

i really want to know what 3-3=

Answers

it’s 0 because 3-3 equals 0

A girl's age in 12 years' time is the square
of her present age. Find her present age.

Answers

Answer: her present age is 4

Step-by-step explanation:

Proof: 4+12=16

Square root 4 is 16

Answer:

  4

Step-by-step explanation:

Let x represent her present age. The given relation is ...

  x +12 = x^2

Putting this in standard form, we can factor it:

  x^2 -x -12 = 0

  (x -4)(x +3) = 0

Solutions to this quadratic are x = 4, x = -3. The -3 solution is extraneous in this context.

The girl's present age is 4.

What is the measure of y? 4 16 z y x

Answers

Answer:

y = 4[tex]\sqrt{3}[/tex]

Step-by-step explanation:

using the Altitude- on- Hypotenuse theorem

y² = product of the segments on the hypotenuse of the large right triangle.

y² = 4 × 16 = 48 ( take square root of both sides )

y = [tex]\sqrt{48}[/tex] = [tex]\sqrt{16(3)}[/tex] = [tex]\sqrt{16}[/tex] × [tex]\sqrt{3}[/tex] = 4[tex]\sqrt{3}[/tex]

What's the simplified expression of 6x2y3/2x−2?

Answers

Step-by-step explanation:

6x^2y^3/2x-2

=6x^2y^3/2 (x-1)

=3x^2y^3/(x-1)

Answer:

3x4y3 just got this on a test and it was right

Step-by-step explanation:

Examine the diagram.

A triangle has angles 1, 2, 3. Angle 4 is an exterior angle to angle 3.

For the angles shown in the diagram, which statements are true? Select all that apply.
The sum of m∠3 and m∠4 is 180°.
The sum of the measures of the adjacent interior angle and one of the remote interior angles is equal to the measure of the exterior angle.
∠3 is supplementary to ∠1.
m∠4 = m∠1 + m∠2.
m∠1 + m∠2 + m∠3 = 180°

Answers

The statements that are true regarding the diagram given are:

m∠3 + m∠4 = 180° (angles on a straight line)m∠4 = m∠1 + m∠2 (external angle theorem)m∠1 + m∠2 + m∠3 = 180° (triangle sum theorem).

What is the Triangle Sum Theorem?

The triangle sum theorem states that all the three interior angles in a triangle have a sum of 180 degrees all together.

Thus, in the diagram given, the statements that are all true are:

m∠3 + m∠4 = 180° (angles on a straight line)

m∠4 = m∠1 + m∠2 (external angle theorem)

m∠1 + m∠2 + m∠3 = 180° (triangle sum theorem).

Learn more about triangle sum theorem on:

https://brainly.com/question/7696843

Answer:

A, D, E

Step-by-step explanation:

I got it right.

40 POINTS NOW HELP 5 MINS COME ON HELP

Answers

❥[tex]\Large\pmb{ \underline {\tt Answer}}[/tex]

2x + 5 = 3x - 25

5 + 25 = 3x - 2x

x = 30

Option B

reason:- Attached picture

Answer:

letter C is the right answer

Step-by-step explanation:

hope it helps!

# CARRY ON LEARNING

BRAINLIEST ME PLEASE PLEASE PLEASE PLEASE PLEASE

WORTH 100 POINTS

Lucas is having yogurt and an apple for a snack. There are five containers of yogurt in the refrigerator: three are raspberry, one is vanilla, and one is peach. There are also two green apples and three red apples.

If he reaches into the refrigerator to get a yogurt without looking, what is the probability that Lucas will choose a raspberry yogurt?

What is the probability that he will choose a red apple if it is the first item he selects?

What is the probability that Lucas will eat a raspberry yogurt and a red apple?

Answers

Answer:

If Lucas reaches into the refrigerator to get a yogurt without looking, there is a 3/5 probability that Lucas will choose a raspberry yogurt.

There is a 3/5 probability that he will choose a red apple if it is the first item he selects.

There is a 9/25 probability that Lucas will eat a raspberry yogurt and a red apple.

Step-by-step explanation:

3/5 x 3/5 = 9/25

Answer:

Probability of yogurt being raspberry = 3/5 = 0.6Probability of choosing a red apple = 3/10 = 0.3Probability of raspberry yogurt AND red apple = 9/50 = 0.18

Step-by-step explanation:

Total of 5 yogurts: 3 raspberry + 1 vanilla + 1 peach

Probability of yogurt being raspberry = 3/5 = 0.6

Total of 5 apples: 2 green + 3 red

Total number of snacks = 10

Probability of choosing a red apple = 3/10 = 0.3

Probability of raspberry yogurt AND red apple = 0.6 x 0.3 = 9/50 = 0.18

make x the subject of the following: k = 2(3x - 5)

Answers

Answer:

x = (k+10)/6

Step-by-step explanation:

k = 2(3x - 5)

Distribute the 2

k = 6x - 10

Add 10 to each side

k+10 = 6x-10+10

k+10 = 6x

Divide each side by 6

(k+10)/6 = 6x/6

(k+10)/6 = x

Answer:

x = (k + 10) / 6

Step-by-step explanation:

k = 2(3x - 5)

k = 6x - 10

k + 10 = 6x

(k + 10) / 6 = x

The formula for the volume of a square pyramid is V = 1/3 8^2h. Choose the formula in terms of h.

Answers

Answer:

h = 3V/b^2

Step-by-step explanation:

V = 1/3 * b^2 * h

multiply through by 3

3V = b^2 *h

divide both sides by b^2

3V/b^2 = h

Find the values of x and y.

Answers

Answer:

Given, x,y and 40 are the angles of a triangle.

Therefore, x+y+40=180

x+y=140

The difference between the two angles x and y is 30.

Therefore, x−y=30 ....(2)

Add equations (1) and (2), we get

2x=170

⇒x=85

Substitute this value n equation (2), we get

85−y=30

⇒y=85-30

⇒y=55

Therefore, angles of a triangle are x=85, y=55 and 40.

Answer:

Step-by-step explanation:

for x :

180° - 40° = 140°  

40° / 2 = 20°

x = 20°

for y :

20° + 90° = 110°

180° - 110° = 70°

x = 70°

Anything to the right of the decimal point is ________ than 1.

Answers

Answer:

The answer is less than 1. :)

A textbook store sold a combined total of 290 math and history textbooks in a week. The number of math textbooks sold was 64 more than the number of history textbooks sold. How many textbooks of each type were sold

Answers

Answer:

113

Step-by-step explanation:

290 - 64 = 226

226 ÷ 2 = 113

I'm doing a poll for school. Comment whether or not you like pugs.

Answers

Answer:

I do not like pugs.  I think they are quite ridiculous creatures.

Step-by-step explanation:

Answer:

I do like pugs

Step-by-step explanation:

Please help, thank you!

Answers

Answer:

62.6

Step-by-step explanation:


Suppose that all pizzas have the same thickness and the cost and number of servings both depend only on the surface area.

A pizza 10 inches in diameter
costs £8.99 and serves 2 people.

a) How much should a 14-inch pizza cost

b) How many people would the 14-inch pizza serve?

Answers

Answer:

a: 17.62

b: 4

Step-by-step explanation:

not entirely sure if its correct but..

Decompose price effect into income effect and substitution effect. ​

Answers

Answer:

➢ Breaking up Price Effect into Income and Substitution Effect (with diagram) ADVERTISEMENTS: As price of a good X falls, other things remaining the same, consumer would move to a new equilibrium position at a higher indifference curve and would buy more of good X at the lower price unless it is a Giffen good.

[tex]Into \: your Arms[/tex]

#CarryOnLearning

3) A truck has 673 boxes of candies. Each box has a dozen candies in it. What is the total number of
candies on the truck?

Answers

Answer:

8076 candies is the total number of candies on the truck

Step-by-step explanation:

Each box has a dozen candies in it means 1 box contains 12 candies.

If 1 box has 12 candies.

then 673 boxes shall have ( 673 * 12 ) = 8076 candies.

In a class 18 children are girls A quarter of the children in the class are boys. Altogether, how many children are in the class?​

Answers

24

6 are boys, 18 are girls.

Good luck!

Answer:

24

Step-by-step explanation:

let x be the number of children in the class , then

number of boys = [tex]\frac{1}{4}[/tex] x , so

x = [tex]\frac{1}{4}[/tex] x + 18 ( multiply through by 4 to clear the fraction )

4x = x + 72 ( subtract x from both sides )

3x = 72 ( divide both sides by 3 )

x = 24

There are 24 children in the class

A 3-foot vertical post casts a 24-in. shadow at the same time a pine tree casts a 30-foot shadow. How tall is the pine tree? What is the scale factor of the post to the tree? Can someone pls tell a step by step guide!!! ​

Answers

Answer:

30

Step-by-step explanation:

2x + 2y + 7a -y . Can you guys give working also please

Answers

Answer:

below

Step-by-step explanation:

2x + 2y + 7a - y

2x + 1y + 7a Combine like terms

2x + y + 7a Multiply by 1

7a + 2x + y Rearrange terms

7a + 2x + y RESULTS!

HOPE IT HELPS!!!

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