What is the approximate length of the track in miles

The number of guests that can be served is 12

From the question, we have the following parameters that can be used in our computation:

Meat served: 4 lbs chicken with a bone

Pounds of meat available: 48 lbs.

The number of guests needed is calculated using the following equation

Number of guests = Pounds of meat available/Meat served

Substitute the known values in the above equation, so, we have the following representation

Number of guests = 48/4

Evaluate the quotient

Number of guests = 12

Hence, 12 guests can be served with the available meat

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Possible question

Perform the following food service calculation.

Meat served: 4 lbs chicken with a bone

Pounds of meat available: 27 lbs.

How many guests can be served?

The coordinates of Q(6, -4) under a reflection in the x-axis is Q'(6,4)

The coordinates of x will remain the same for reflection in the X axis, while y will change with the opposite sign.

From the question, we have

The coordinates of Q(6, -4) under a reflection in the x-axis is Q'(6,4).

Reflection:

A reflection is referred to as a flip in geometry. A reflection is the shape's mirror image. A line, called the line of reflection, will allow an image to reflect through it. Every point in a figure is said to reflect the other figure when they are all equally spaced apart from one another. The reflected picture should have the same size and shape as the original, but it faces the opposite way. Changes in position during contemplation may also result in translation. Pre-image and image are terms used to refer to the same thing in this context. ABC and A'B'C are used to represent the pre-image and image, respectively. The coordinate system may be referred to by the reflection transformation (X and Y-axis).

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This is a question of Simple Interest. The simple interest is given by the formula:

That is:

Interest = Principal * Rate * Time

From the question, we have:

P = $10

R = 5% ---> 5/100 = 0.05

T = 2 years

Then, we have that the interest is (without units):

Therefore, the interest is $1.

However, Kayla will have in two years this interest plus the starting amount, that is:

$10 + $1 = $11.

Hence, Kayla will have $11 in two years in her savings account.

Answer:

Explanation:

The angles that are right angles are the ones that measure 90 degrees.

These are:

angles formed at L

angles formed at E

Answer:

Explanation:

The angles that are right angles are the ones that measure 90 degrees.

These are:

angles formed at L

angles formed at E

Answer:

3

Step-by-step explanation:

3 to the power of 2 is nine because 3 x 3 = 9

9 / 3 is 3

Answer:

3

Step-by-step explanation:

3²÷3¹

=3²-¹

=3¹

=3

or

3²÷3¹

=9÷3

=3

The stationary shop had 90 pens with them initially.

Let,

The number of pens initially at the stationary shop=x

The number of pens and the number of notepads are said to be equal. Therefore, The number of notepads initially at the stationary shop=x

After selling,

The number of pens = x-1250

The number of notepads = x-380

The number of pens was four times the number of the number of notepads. Modelling the linear equation for the situation:

x-1250=4(x-380)

x-1250=4x-1520

x=4x-270

-3x=-270

x=90

The stationary shop had 90 pens initially.

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hello

determine the amount each of them have, let's write an equation to represent thier total amount

let x represent the amount Jason have

let y represent the amount Jeff has

now, we know that Jason has 3 more than 4 times the amount Jeff has

x = 4y + 3 .... equation 1

x + y = 72 .... equation 2

from equation 2,

make x the subject of formula

x = 72 - y .....equation 3

put equation 3 into equation 1

x = 4y + 3

72 - y = 4y + 3

solve for y

we know y = 13.8

we can simply substitute the value into equation 2 and solve for x

therefore, Jason has $58.2 and Jeff has $13.8

The equation of the line that passes through the points (5,2) and (1,4) is given by  [tex]y=-\frac{x}{2} +\frac{9}{2}[/tex].

Let the points  [tex](5,2) = (x_{1} , y_{1} )[/tex] and [tex](1,4) = (x_{2} , y_{2} ).[/tex]

The two-point form of the equation of a line is given by,

[tex]y-y_{1} =\frac{y_{2} -y_{1} }{x_{2}- x_{1} } (x-x_{1} )[/tex]

Substituting the values of [tex]x_{1} , x_{2}, y_{1}[/tex] and [tex]y_{2}[/tex] in the above equation, we get,

[tex]y-2=\frac{4-2 }{1-5 } (x-5 )\\\\ y-2 = \frac{2 }{-4 } (x-5 )\\\\ y-2=-\frac{1}{2} (x-5)\\ \\y-2=-\frac{x}{2} +\frac{5}{2} \\ \\y=-\frac{x}{2} +\frac{5}{2} +2\\ \\y=-\frac{x}{2} +\frac{9}{2}[/tex]

Thus the equation of the line is [tex]y=-\frac{x}{2} +\frac{9}{2}[/tex].

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We can say that it's an arithmetic sequence since it has a common rate of change or common difference of 4.

Arithmetic sequences are represented by the following formula:

Recursive formula:

an= nth term

a1= 1st term

n= number of terms

d= common difference

Answer:

1

Step-by-step explanation:

Answer:

225

Step-by-step explanation:

yes of course it can surely be

Answer:

Yes, you can factor out common factors to write equivalent algebraic expressions.

[from edge's summary video script]

Answer: 3 1/8 ÷ 1 2/3 = 15/8. 15/8 as a simplified mixed number is 1 7/8

Step-by-step explanation: 15/8 is at it's simplist form and cannot be divided again that is why you convert it into a mixed number. I hope this helps!

We are asked to find the area of the shaded region.

Notice that the overall figure is a rectangle and the missing area is a triangle.

The area of the rectangle is given by

Where w is the width and l is the length of the rectangle.

width = 7 m

length = 16 m

So, the area of the rectangle is 112 m²

The area of the triangle is given by

Where b is the base and h is the height of the triangle.

base = 7 m

height = 8 m

So, the area of the triangle is 28 m²

The area of the shaded region can be found by subtracting the area of the triangle from the area of the rectangle.

Therefore, the area of the shaded region is 84 m²

The minimum number of tiles will be 122 that Imane needs to cover the floor.

Multiply the area by the conversion ratio to convert a square foot measurement to a square inch measurement. Because one square foot equals 144 square inches, you may use the following easy formula to convert:

square inches = square feet × 144

The area in square inches is equal to the square feet multiplied by 144.

The floor she wants to cover has an area of 216 square feet.

The required area in square inches is :

216 × 144 = 31,104 sq in

Each tile covers an area of 256 square inches.

The minimum number of tiles = 31,104 sq in / 256 sq in

The minimum number of tiles = 121.5 ≈ 122

Thus, the minimum number of tiles will be 122 that Imane needs to cover the floor.

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To estimate this, let's first translate to figures.

We have:

Let's estimate, we have:

The sum of both angles must be 180°, therefore:

(2x+24) + (4x+36) = 180°

6x + 60 = 180°

6x = 120°

x = 120/6 = 20°

Then, the smaller angle is 2*20 + 24 = 64

The system of equations which are correct are mentioned below:

2 ) [tex]24/2^2= 50- 6^2 - 8[/tex]

and 4 ) 56÷8+3^2= 2⋅2^3

The solution of all the system of equations are given below;

1 ) [tex]8^2 - 5^2= 4^2 - 7[/tex]

LHS = 64 - 25 = 39

RHS = 16 - 7 = 9

Since LHS is not equal to RHS the given equation is not correct.

2) [tex]24/2^2= 50- 6^2 - 8[/tex]

LHS = 24 / 4 = 6

RHS = 50 - 36 - 8 = 6

Since LHS = RHS the above system of equation is correct.

3 ) [tex]39 - 3 X 6=6 X 10/4+4[/tex]

LHS = 39- 18 = 21

RHS = 60 / 8 = 7.5

Since LHS is not equal to RHS the given system of equations is wrong

4 ) 56÷8+3^2= 2⋅2^3

LHS = 12

RHS = 12

Since LHS = RHS the above system of equations is correct.

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Answer: D

Step-by-step explanation:

248 = 28x + 20y

x = 3y - 6

x = 28

y = 20

Answer:

c. What is your favorite book?

Explanation:

A question is said to be biased when it is asked in such a way that it leads or skews people intentionally to a particular answer.

Looking at the given questions in the options, we can see that three of them have a particular person or thing mentioned in the question. These are examples of biased questions.

But the question, "What is your favorite book?" does not suggest a name of a particular book to the respondent which could influence their responses. This type of question is not biased.

Answer: The family would buy the three pairs of shoes for $26.31 because you have to divide $52.62 in half since they bought half the amount of pairs of shoes that are given in the sale.

Answer:

$26.31

Step-by-step explanation:

3 × [tex]\frac{52.62}{6}[/tex]

3 × [tex]\frac{5262}{600}[/tex]

3 × [tex]\frac{877}{100}[/tex]

[tex]\frac{3 *877}{100}[/tex]

[tex]\frac{2631}{100}[/tex]

= 26.31

Answer:

The nth term is 2n^2.

Step-by-step explanation:

We see that each term is twice a square number. So it follows that

[tex]a(n )= 2 {n}^{2} [/tex]

for n = 1, 2, 3,.....

The equation is y+9=(1/5)(x-2).

It is used to find the equation of the straight line which is inclined at a given angle to the x-axis and passes through a given point. The three major forms of linear equations are point-slope form, standard form, and slope-intercept form. The equation of the slope form is y-y₁ = m(x - x₁)

The formula for the point-slope is,

y-y₁ = m(x - x₁)

y₁ is the y-coordinate of the point in the line, x₁ is the x-coordinate of the point in the line and m is the slope.

y₁ = -9

m = 1/5

x₁ = 2

Substituting the above values in the above equation, we get

y-(-9) = (1/5)(x-2)

By simplifying the above equation, we get

y+9 = (1/5)(x-2)

Therefore, the equation is y + 9 = (1/5)(x-2).

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Step-by-step explanation:

When we multiply or divide both sides of an inequality by a negative number, what happens to the inequality symbol?

Answer:

The sign flips.

≤ becomes ≥

and ≥ becomes ≤

Solution

Total space

Probability

Now for the next thin crust of 2000 pizza

The final answer

Given number in factored form 7.7.7.7.7.7  can be represented in the following way :

Exponential form : 7⁶

Standard form. : 11.7649 × 10⁴

As given in the question,

Given number in factored form is equal to 7.7.7.7.7.7

Represent the given factored form number into exponential form and standard form is written as :

Exponential form is given by :

7.7.7.7.7.7

= 7¹⁺¹⁺¹⁺¹⁺¹⁺¹

= 7⁶

Standard form is given by :

7.7.7.7.7.7

= 117649

= 11.7649 × 10⁴

Therefore, given number in factored form 7.7.7.7.7.7  can be represented in the following way :

Exponential form : 7⁶

Standard form. : 11.7649 × 10⁴

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The value of P(S or T) is 71/110.

What is mutually exclusive event?

If two events cannot happen simultaneously, they are mutually exclusive or discontinuous. The results of a single coin flip, which can result in either heads or tails but not both, serve as an obvious illustration.

As given,

S and T are mutually exclusive events. P(S)= 6/11 , P(T)= 1/10.

By using,

P(S ∪ T) = P(S) + P(T) - P(S ∩ T)

              = 6/11 + 1/10 - P(S ∩ T)

              = 71/110 - P(A ∩ T)

But the events S and T are mutually exclusive events.

therefore,  P(S ∩ T) = 0.

So,

P(S ∪ T) = 71/110

Therefore, value of P(S or T) is 71/110.

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Using substitution method of simultaneous linear equation the results are x = -1 and y = 3

What is simultaneous linear equation?

At first it is important to know about linear equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Two or more linear equations, which can be solved together to obtain common solution are known as simultaneous linear equation.

Here,

Substitution method of simultaneous linear equation is used

y = -2x + 1

-9x - 2y =3

Putting the value of y in the second equation

-9x - 2(-2x + 1) = 3

-9x +4x -2 = 3

-5x = 3 + 2

-5x = 5

[tex]x = -\frac{5}{5}\\x = -1[/tex]

Putting the value of x in the first equation,

[tex]y = -2 \times -1+1\\y = 3[/tex]

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We have the lease of a building is for 10 years with an annual rent of $48 000.

We first determine the 7.5% for the first 5 years, for that we add the cost of the rent for 5 years, that is:

In 5 years the rent will be of $240 000, now we find the 7.5%:

Her commision for the first 5 years is going to be of $18 000.

Now we determine the 5% for the next 3 years, for this we determine the rent for 3 years:

The rent for 3 years adds $144 000, now we determine the 5%:

From this we have that the commission for the next 3 years will be of $7200.

And finally, we determine the rent for the two remaining years:

We have that the last two years the rent will be of $96000, now we determine the 3.5% of her commission during that time:

From this we have her commission for the last two years will be of $3360.

Finally we add all of the values of the commissions she will get:

From this we have that the total commision money she will be getting during those 10 years will be $28 560.

First, let's graph the complex number:

The trigonometric form will be given by:

The angle θ here is 225° (5π/4), the r-value will be

Now we have the trigonometric representation:

Therefore the correct answer is the letter D.