A farmhouse shelters 15 animals. Some are goats and some are ducks. Altogether there are 42 legs. How many of each animal are there?

Use the variable g to represent goats
Use the variable d to represent ducks

Part A: Create a system of equations that can model this scenario.

Part B: Solve the system of equations Algebraically

** Hints **
Equation #1 will need to represent the total number of animals
Equation #2 will need to represent the number of legs a goat has and the number of legs a duck has.

D = 3 for First one and the Second one is

Answer:

1824

Step-by-step explanation:

48 x 38 =1824

Answer:

72

Step-by-step explanation:

Answer:

x=10.156713

Step-by-step explanation:

tan(52)=13/x

Answer:

Step-by-step explanation:

Answer:

6

y2-2y+6

since y= 2

22-22+6

=6

Answer:

x=30 is the answer no hate if I'm wrong :)

Step-by-step explanation:

The sum of angles in a triangle is 180 so we add them all and we get x=30.

Then find the measure of each angle by substitution.

Answer:

last option

the correct answer is

- (- 7 / - 8)

Answer:

slope = 6x

Step-by-step explanation:

the formula to find slope between 2 points is "m = (y2 - y1)/(x2-x1)", or "m = rise/run". so when you plug in the numbers, you get "m = (12 - 6)/(2 - 1)", which gives you "m = 6/1", which is just 6x.

Answer:

Slope = 6

Step-by-step explanation:

From the graph we get:

(x1, y1) = (1, 6) and

(x2, y2) = (2, 12)

Slope = (y2 - y1) / (x2 - x1)

= (12 - 6) / (2 - 1)

= 6 / 1

= 6

Answer:

(d) 78√3

hope it is right answer for it !!

Answer:

There is no value of x to fit this requirement.

Step-by-step explanation:

The 2 perimeters in terms of x are:

4(x + 3) for the square and

2(x+1) + 2(x +4)  for the rectangle

and these need to be equal so

we equate these 2 and solve for x:

4(x + 3) = 2(x+1) + 2(x +4)

4x + 12 = 2x + 2 + 2x + 8

4x + 12 = 4x + 10

4x -  4x = 10 - 12

0 = -2   which is of course absurd so there is no solution to this equation.

Answer:

(x+3)•4=(x+4)•2+(x+1)•2

Step-by-step explanation:

4x+12=2x+8+2x+2

4x-2x-2x=-12+8+2

0=-2

this expression is indeterminate.

9514 1404 393

Answer:

  3

Step-by-step explanation:

The average rate of change is the slope of the line between the points at the ends of the interval: (1, -2) and (3, 4). That is given by the slope formula ...

  m = (y2 -y1)/(x2 -x1)

  m = (4 -(-2))/(3 -1) = 6/2

  m = 3

The average rate of change on the interval is 3.

Answer:

2

Step-by-step explanation:

Answer:

a≈9.19m

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

24 = -6x

-4 = x

............

Answer:

x = -4

Step-by-step explanation:

30 = - 6x + 6

- 6x = 30 - 6

- 6x = 24

- x = 24 / 6

- x = 4

x = - 4

x^2 - 4x + 3 = 0

Factor the left side.

What two numbers when multiplied yield 3 but when added yield the middle coefficient -4?

How about -1 times -3?

Yes, (-1)(-3) is 3 but when added yield -4.

(x - 3)(x - 1) = 0

Set each factor to 0 and solve for x.

x - 3 = 0

x = 3

x - 1 = 0

x = 1

The word root is just another word for solution or the zero of a polynomial.

Answer: x = 1 or x = 3 are the roots.

Answer:

21a − 8

Step-by-step explanation:

Answer:

Distance of boat from Matt = 274.5 ft (Approx.)

Step-by-step explanation:

Given:

Height of cliff = 305 ft

Angle = 42°

Find:

Distance of boat from Matt

Computation:

Tan 42° = Distance of boat from Matt / Height of cliff

0.90 = Distance of boat from Matt / 305

Distance of boat from Matt = 274.5 ft (Approx.)

Answer:

6

Step-by-step explanation:

ℎ 4 6

[tex]24 \div 4 = 6[/tex]

Answer:

a) c = 15t

Step-by-step explanation:

c = the total cost of the breakfast tickets

t = the number of breakfast tickets bought

Tickets for an all-you-can-eat pancake breakfast cost $15 each

Therefore, the equation that shows the relationship between c, the total cost of the breakfast tickets and t, the number of breakfast tickets bought is written as:

c = $15 × t

c = 15t

Option a is the correct option

Answer:

Yes

20 cents

Step-by-step explanation:

Assuming the cost of peanuts is 30 cents per ounce.

We have to find the cost of 1 pound of peanuts.

We know that,

1 pound = 16 ounces

$1 = 100 cents

Cost of 1 pound peanuts = 30 x 16

                                         = 480 cents = $4.80

Yes, $5.00 is enough to buy 1 pound peanuts.

Money left = $5- $4.80 = $0.20

Money left is equal to 20 cents.

Answer:

Expansion

Contraction

Expansion

Contraction

Step-by-step explanation:

The correct type of dilation for given scale factors are 1) contraction, 2) contraction, 3) expansion 4) contraction

Dilation is a type of transformation in geometry, in which the original figure changes its scales, either reduce or enlarge.

Given are scale factors,

Scale factor symbolized by k,

We know that, when k > 1, the figure expands or enlarge.

When k < 1, the figure reduces or contract.

And when k = 1, the figure is congruent to the dilation.

1) -5 = (contraction)

1 > -5, therefore, figure is contraction.

2) -1/4 = (contraction)

1 > -1/4, therefore, figure is contraction.

3) 3.5 = (expanding)

1 < 3.5, therefore, figure is expanding.

4) 6/7 = (contraction)

6/7 = 0.8571 < 1, therefore, figure is (contraction)

Hence,  -5 = (contraction),  -1/4 = (contraction),  3.5 = (expanding) and 6/7 = (contraction)

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Answer:

I’F’ = 21

Step-by-step explanation:

To find the length of I’F’

We perform the dilation on IF using the given dilation factor

All we have to do here is to multiply the length of IF by the dilation factor

We have this as ;

28 * 3/4 = 21

Answer:

6

Step-by-step explanation:

Point 1

(xA,yA) = (3, 1)

Point 2

(xB,yB) = (3, 7)

Distance between two points =

√(xB−xA)^2+(yB-yA)^2

Solution :

Distance between two points =

√(3−3)^2+(7−1)^2=

√0^2+6^2=

√0+36= √36 = 6

Distance between points (3, 1) and (3, 7) is 6

Answer:

The answer would be 27

Step-by-step explanation:

You need to multiply 9 to both sides. Please mark me brainliest.

Answer:

39° = m∠A

51° = m∠B

Step-by-step explanation:

Complementary angles have a sum of their measures = 90

Let x = m∠B

then x + 12 = ∠A

m∠A + m∠B = 90

x + 12 + x = 90

2x + 12 = 90

2x = 78

x = 39° = m∠A

x + 12 = 39 + 12 = 51° = m∠B

The measure of ∠A is 39°.

The measure of ∠B is 51°.

Here,

The measure of ∠A is 12° greater than the measure of ∠B.

The two angles are complementary.

We have to find the measure of each angle.

What is Complementary angle?

Complementary angles have a sum of their measures is 90°.

Now,

The measure of ∠A is 12° greater than the measure of ∠B.

Let  m∠B = x

Then, ∠A =  x + 12

The two angles are complementary.

Hence,

m∠A + m∠B = 90

x + 12 + x = 90

2x + 12 = 90

2x = 78

x = 39°

And, x + 12 = 39 + 12 = 51°

Hence, The m∠A is 39° and m∠B is 51°.

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Complete Question

The mean height of a basketball team is 6 feet with the standard deviation of 0.2 feet. The team center is 6.9 feet tall. Find the center Z score. Is the score unusual?

Answer:

Center Z score = 4.5

The score is unusual

Step-by-step explanation:

The mean height of a basketball team is 6 feet with the standard deviation of 0.2 feet. The team center is 6.9 feet tall. Find the center Z score. Is the score unusual?

The formula for z score is:

z = (x-μ)/σ, where

x is the raw score = 6.9feet

μ is the population mean = 6feet

σ is the population standard deviation = 0.2 feet

Hence:

Z = 6.9 - 6/0.2

Z = 0.9/0.2

Z = 4.5

Yes this score is unusual

Answer:

For every 2 apples, there are 6 oranges

Step-by-step explanation:

I got it on khan so trust me

(P. S. could u give me brainliest?)

Answer:

3rd choice

Step-by-step explanation:

The answer is the 3rd choice.

x cannot be 3 and 5 at the same time.

x = 3

x = 5

Subtract the first equation from the second equation.

x - x = 5 - 3

0 = 2

Since 0 = 2 is a false statement, there is no solution.

Answer: 3rd choice