at old oak farm, there are chicken and horses. there are 120 legs and 48 heads altogether. how many horses and how many chickens are there?

Answer:

a3+13a

Step-by-step explanation:

sorry I don't know how to solve this

Answer:+-3

Explanation:

I added 4 on both side so that a^2+1/a^2-2 becomes a^2+1/a^2+2 which is Special products of (a^2+1/a^2).

Answer:

D

Step-by-step explanation:

Add all the numbers around the triangle, the get your answer

I hope its useful

Answer:

Step-by-step explanation:

Exterior equals the sum of opposite interior angles

x = 49 + 90

x = 139°

Answer:

26 = <F

Step-by-step explanation:

Since the triangle is isosceles, the base angles are the same

<D = <F

26 = <F

The triangle is a isosceles triangle

[tex]\\ \rm\Rrightarrow <D=<F[/tex]

[tex]\\ \rm\Rrightarrow <F=26°[/tex]

Answer:

Step-by-step explanation:

Nearest thousandth = 5693.251

Nearest tenths = 5693.3

Answer:

a.125.89..............

Answer

English translation needed

Answer:

1 : 3

Step-by-step explanation:

There are 2 orange triangles  and 6 blue triangles

2:6

Divide each by 2

2/2 : 6/2

1 : 3

Answer:

1:3

Step-by-step explanation:

There are 2 orange triangles and 6 blue triangles.

This can be shown as 2:6

You can then simplify the ratio down by halving it:

1:3

Hope this helps :)

Answer:

(x-9)(x+2)

Step-by-step explanation:

x^2-7x-18

What 2 numbers multiply to -18 and add to -7

-9*2 = -18

-9+2 = -7

(x-9)(x+2)

Answer:

Below.

Step-by-step explanation:

x^2 - 7x - 18

-9 * 2 = -18 and -9 +2 = -7 so the factors are:

(x - 9)(x + 2)

Based on the triangle midsegment theorem, the length of QT is calculated as: B. 44 cm.

Using the image above as a reference, the triangle midsegment theorem states the length of the midsegment US, of triangle QRT is parallel to the third side, segment QT, and therefore has a length that is half of the length of segment QT.

Given that US is a midsegment in triangle QRT, and it is equal to 22 cm, therefore, we can find the length of the third side it is parallel to, side QT by  applying the triangle midsegment theorem as explained below:

The length of US = 1/2(the length of QT)

Substitute

22 = 1/2(QT)

Multiply both sides by 2

2(22) = QT

44 = QT

QT = 44 cm

Therefore, the answer is: B. 44 cm.

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Answer:

B. 44 cm.

Step-by-step explanation:

Answer:

XY = 24

Step-by-step explanation:

In similar triangles, the corresponding sides are in same ratio.

[tex]\frac{AC}{XZ}=\frac{AB}{XY}\\\\\frac{x+6}{30}=\frac{16}{2x-4}[/tex]

Cross multiply,

(x + 6 )(2x-4) = 16*30

Use FOIL method

x*2x + x*(-4) + 6*2x + 6*(-4) = 480

2x² - 4x + 12x - 24 = 480  {Combine like terms}

2x² + 8x - 24 = 480

2x² + 8x - 24 - 480 = 0

2x² + 8x - 504 = 0

Divide the entire equation by 2

x² + 4x - 252 = 0

Sum = 4

Product = -252

Factors = 18 , -14   {18 +(-14) = 4  & 18*(-14) = -254 }

x² + 4x - 252 = 0

x² + 18x - 14x - 252 = 0  {Rewrite middle term}

x(x + 18) - 14(x + 18) = 0

(x + 18)(x - 14) = 0

x - 14 = 0           {Ignore x + 18 = 0 as measurement will not come in negative}

x = 14

XY  = 2x - 4

    = 2*14 -4

     = 28 - 4

       = 24

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{\mathsf{(6y^2)^3 + 24y^6}}[/tex]

[tex]\huge\boxed{\mathsf{= 6y^{2\times3} + 24^6}}[/tex]

[tex]\huge\boxed{2\times3 = \bf \boxed{\bf 6}}[/tex]

[tex]\huge\boxed{= \mathsf{6y^6 + 24y^6}}[/tex]

[tex]\huge\boxed{= \mathsf{216y^6 + 24y^6}}[/tex]

[tex]\huge\boxed{\text{COMBINE the LIKE TERMS}}[/tex]

[tex]\huge\boxed{\mathsf{= 240y^6}}[/tex]

[tex]\huge\boxed{\mathsf{Answer: \bf 240y^6}}[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

Answer:

We can note that this part of the graph is a linear function. This means that is has a general form: y = mx + c where m is the slop and c is the y-intercept (value of y at x=0). For the slope, we will use the points (0,2) and (3,5) to calculate it as follows: m = (y2-y1)/(x2-x1) = (5-2)/(3-0) = 1 For the y-intercept, we can note that at x=0, the value of y is 2. This means that the equation of the first part of the graph is: y = x + 2

Read more at Answer.Ya.Guru – https://answer.ya.guru/questions/703068-which-rules-define-the-function-graphed-below.html

Answer:

The answer is -51146

Step-by-step explanation:

Just substract simple

Answer:

y = 36/5

Step-by-step explanation:

The formula for direct variation is

y = kx where k is a constant

We know y =12 and x= 5

12 = k*5

12/5 = k

The formula is

y = 12/5 x

Now find y = when x=3

y = 12/5 *3

y = 36/5

Answer:

Step-by-step explanation:

This equation has a vertical asymptote at x = -2 and a horizontal asymptote at y = 1. This is stuff you should know about rational equations as you learn about them. The vertical asymptote serves as the locked gate or really high wall that the graph cannot go through nor can it go around or over or under. The graph will never cross through the VA. The horizontal asymptote is a horizontal line, y = 1, that reveals the graph's end behavior. So picture this:

We have an x/y coordinate plane. There is a vertical asymptote at x = -2 and a horizontal line at y = 1. This graph, because it cannot go through the vertical asymptote, is "split" into 2 parts, basically. The left "part" comes in along the horizontal asymptote from negative infinity, almost touching it but not quite, and when it reaches x = -2, it drops along the vertical asymptote, almost touching it but not quite and goes down into negative infinity. The right "part" of the graph comes down from positive infinity along the vertical asymptote, almost touching it but not quite, and when it reaches y = 1, it curves along that line off into positive infinity.

Using the proportional relationship, it is found that:

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

[tex]y = kx[/tex]

In which k is the constant of proportionality.

In this problem, the relationship is given by:

[tex]y = \frac{x}{2}[/tex]

Hence, when x = 1:

[tex]y = \frac{1}{2} = 0.5[/tex]

When x = 2.5:

[tex]y = \frac{2.5}{2} = 1.25[/tex]

When x = 3.5:

[tex]y = \frac{3.5}{2} = 1.75[/tex]

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Answer:

x   y

___

12 4

3  1

18 6

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

The diagonals bisect each other and are congruent , then

OD = OA , that is

3x + 1 = 2x + 4 ( subtract 2x from both sides )

x + 1 = 4 ( subtract 1 from both sides )

x = 3

Answer:

where are the numbers

Step-by-step explanation:

Answer:

X = 2 is your answer

hope this will help you

Answer:

x=2

Step-by-step explanation:

A circle has a center, radius, diameter and points in a plane. Depending on the context, the definition of a circle must contain at least one of the following terms:

Based on James' definition of a circle, he needed to specify that the points are in a plane (option c).

As presented in his definition "the set of all the points" can be interpreted in several ways. Some of which are:

Of this numerous possible interpretation, James should have specified that the set of points is in a plane

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angle B = ( arc ADB ) ÷ 2

46 = ( arc ADB ) / 2

Multiply both sides by 2

46 × 2 = 2 × ( arc ADB ) / 2

92 = arc ADB

arc AB = arc ADB

arc AB = 92

The measure of arc AB is 92°. Therefore, option B is the correct answer.

Given that, ∠B = 46°.

We need to find the measure of arc AB.

The arc of a circle is defined as the part or segment of the circumference of a circle. A straight line that could be drawn by connecting the two ends of the arc is known as a chord of a circle. If the length of an arc is exactly half of the circle, it is known as a semicircular arc.

Now, ∠B = ( arc ADB ) ÷ 2

46° = ( arc ADB ) / 2

Multiply both sides by 2

46° × 2 = 2 × ( arc ADB ) / 2

92° = arc ADB

arc AB = arc ADB

arc AB = 92°

The measure of arc AB is 92°. Therefore, option B is the correct answer.

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Answer:

x = 1

Step-by-step explanation:

Given

x + 2[tex]\sqrt{x}[/tex] - 3 = 0 ( subtract x - 3 from both sides )

2[tex]\sqrt{x}[/tex] = 3 - x ( square both sides )

4x = (3 - x)² ← expand using FOIL

4x = 9 - 6x + x² ( subtract 4x from both sides )

0 = x² - 10x + 9 ← in standard form

0 = (x - 1)(x - 9) ← in factored form

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 9 = 0 ⇒ x = 9

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are solutions.

x = 1 : 1 + 2[tex]\sqrt{1}[/tex] - 3 = 1 + 2 - 3 = 0 → x = 1 is a solution

x = 9 : 9 + 2[tex]\sqrt{9}[/tex] - 3 = 9 + 6 - 3 = 12 ≠ 0

x = 9 is an extraneous solution while x = 1 is a solution

Answer:

1056.25 ft**2

Step-by-step explanation:

Square mean length - width so the area is

A = L * W

A = 32.5 * 32.5

A = 1056.25

The sod needed is 1,056.25 square foot .

The area of a square is the measure of the space or surface occupied by it. It is equal to the product of the length of its two sides. Since the area of a square is the product of its two sides, the unit of the area is given in square units.

Formula of area of square = [tex]side^{2}[/tex]

According to the question

A square park needs grass .

The park has a side length of 32.5 feet

i.e

Side of square =  32.5 feet

Now,

The sod needed = Area of park

By using formula of area of square

= [tex]side^{2}[/tex]

= [tex]32.5^{2}[/tex]

= 1,056.25 square foot

Hence, The sod needed is 1,056.25 square foot .

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It's rational because of the repeating digits.

We have

x = 2.732343434…

Then

1,000x = 2,732.343434…

and

100,000x = 273,234.343434…

Subtracting these makes the fractional part go away, leaving you with

100,000x - 1,000x = 273,234.343434… - 2,732.343434…

100,000x - 1,000x = 273,234 - 2,732

99,000x = 270,502

x = 270,502/99,000 = 135,251/49,500

which is clearly a rational number.

Answer:

0.043

Step-by-step explanation:

arranging in ascending order

0.04,0.043,0.40

or they are 0.040,0.043,0.400

so middle term is 0.043

Given :

the numbers are  0.04, 0.40, 0.043

Arrange the given decimal numbers in ascending order

smallest number is 0.04

So the order of given decimal numbers are

0.04,  0.043 , 0.40

From this we can see that the middle number is 0.043

So, the middle number of the numbers 0.04, 0.40, 0.043 is 0.043

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Answer:

Your question is inadequate to provide an answer

Step-by-step explanation:

Please upload full question

2 | 550,750,900

2 | 275,375,450

3 | 275,375,225

3 | 275,125,75

5 | 275,125,25

5 | 55,25,5

5 | 11,5,5

11 | 11,1,1

LCM:-2×2×3×3×5×5×5×11=49500

Answer:

42 + 2/3

Step-by-step explanation:

First, to calculate the sum of an infinite geometric series, our formula is

a₁/(1-r), with a₁ being the first term of the series and r being the common ratio. Therefore, we want to find both a₁ and r.

To find r, we can first determine that 2 * r = a₄ and a₄ * r = a₅, as the ratio separates one number from the next in a geometric series. Therefore, we have

2 * r * r = a₅

2 * r² = 1/8

divide both sides by 2 to isolate the r²

r² = 1/16

square root both sides to isolate r

r =± 1/4. Note the ± because r²=1/16 regardless of whether r = 1/4 or -1/4. However, because all terms are positive, r must be positive as well, or a₄, for example, would be 2 * (-1/4) = -0.5

Therefore, r = 1/4 .

To find the first term, we know that a₁ * r = a₂, and a₂ * r = a₃. Therefore, a₁ * r² = a₃ = 2

a₁ * 1/16 = 2

divide both sides by 1/16 to isolate a₁

a₁ = 2 * 1/ (1/16)

= 2 * 16

= 32

Plugging a₁ and r into our infinite geometric series formula, we have

a₁/(1-r)

= 32  / (1-1/4)

= 32/ (3/4)

= 32/ 0.75

= 42 + 2/3

Answer:

a

Step-by-step explanation:

the graphic is step by step

Answer:

A

Step-by-step explanation:

Since the first number to the problem is -4, you start at -4 on the number line. The next number is +7.5 so you would move 7.5 spaces to the right on your number line. Finally, where you land would be your answer.

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