A college football stadium holds 45,000 fans. In a random sample of 30 fans, 25 were wearing the colors of the home team. Predict the number of fans who are wearing the colors of the home team.

Answer:

x = 10

Step-by-step explanation:

We are given a diagram with lines AB and CD intersected by a line EH.

Given that the lines AB and CD are parallel, we are to find the value of x.

Since the lines are parallel so the angles are interior alternate angles and are equal to each other.

Therefore, we can write it as:

[tex] ( 3 x + 15 ) = ( 5 x - 5 )  [/tex]

[tex] 5 x - 3 x = 15 + 5 [/tex]

[tex] 2 x = 20 [/tex]

[tex] x = \frac { 20 } { 2 } [/tex]

x = 10

Answer:

The value of x = 10

Step-by-step explanation:

From the figure we can see that, AB║CD

And HE is a traversal. Two angles are given. These angles area alternate interior angles which are equal

To find the value of x

Two alternate interior angles are

(3x + 15)° and (5x - 5)°

(3x + 15) = (5x - 5)

5x - 3x 15 + 5

2x = 20

x = 20/2 = 10

Therefore the value of x = 10

C

Because their on a straight highway and the lines go up and down (north and south) and parallel lines is a set of straight lines

Final answer:

The northbound and southbound lanes on a straight highway are the best example of parallel lines, as they never intersect and stay equidistant from each other, fulfilling the criteria for parallelism in geometry which is the option c.

Explanation:

The best example of parallel lines in the real world would be C. The northbound and southbound lanes on a straight highway. In mathematics, parallel lines are two lines in the same plane that do not meet; they stay the same distance apart over their entire length. When we look at the northbound and southbound lanes on a straight highway, they are designed to be straight and run alongside each other without crossing, making them a practical example of parallel lines.

It is important to understand that parallel lines have several key features. They are always the same distance apart (equidistant), and they never intersect or cross each other. This principle is seen in the highway lanes, which must stay separate to facilitate traffic in opposite directions.

To contrast, other options like A. The lines formed on a windowpane may not necessarily be parallel, B. A four-way stop at an intersection involves intersecting lines, and D. A bridge extending over a river can be a single line or may curve, which does not fit the definition of parallel lines.

Answer:

A

Step-by-step explanation:

Calculate the slope m using the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (4, 1) and (x₂, y₂ ) = (x, - 6)

m = [tex]\frac{-6-1}{x-4}[/tex] = 1

m = [tex]\frac{-7}{x-4}[/tex] = 1 ( cross- multiply )

x - 4 = - 7 ( add 4 to both sides )

x = - 3 → A

The value of 'x' is -3 and this can be determined by using the two point slope formula and also by using the given data.

Given :

When two points are given then to determine the slope of the given line below formula can be used:

[tex]\rm m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]

where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the points on the same line.

Now, substitute the value of slope m and points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] in the above equation in order to determine the value of 'x'.

[tex]\rm 1 = \dfrac{-6-1}{x-4}[/tex]

x - 4 = -7

x = -3

So, the value of x is -3.

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Answer:

h = 7 1/2

Step-by-step explanation:

2/5 h = 3

Multiply each side by 5/2 to isolate h

5/2 * 2/5 h = 5/2 *3

h = 15/2

h = 7 1/2

Answer:

Option A. [tex]192\ m^{2}[/tex]

Step-by-step explanation:

we know that

The lateral area of the square pyramid is equal to the area of its four triangular faces

so

[tex]LA=4[\frac{1}{2}(12)(8)]=192\ m^{2}[/tex]

Answer:

284.37

Step-by-step explanation:

If you use the pythagorean theory, it's so much easier

The distance of the earth's horizon from point p is 284.372 miles.

In a right-angled triangle,  the square of the hypotenuse side is equal to the sum of squares of the other two sides [tex]Hypotenuse^{2} = Perpendicular^{2} + Base^{2}[/tex]

Here also we have a right angle triangle so to find the remaining side we use Pythagoras Theorem.

[tex]3959^{2} + x^{2} =(3959+10.2)^{2}[/tex]

[tex]3959^{2} + x^{2} = (3969.2)^{2}[/tex]

[tex]x^{2} = 80867.64[/tex]

x = 284.372 miles

Thus the distance of the earth's horizon from point p is 284.372 miles.

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Answer:

2

Step-by-step explanation:

[tex]\bold{Hey\ there!} \\ \\ \bold{3x-4=2}\\ \bold{First:add\ by\ 4\ to\ your\ sides!}\\ \bold{Like\downarrow}\\ \bold{3-4+4=2+4}\\ \bold{Cancel:-4+4\ because\ it\ = \ 0}\\ \bold{Keep:2+4\ because\ it\ helps\ us\ solve\ for\ our\ answer} \\ \bold{2+4=6} \\ \bold{3x=6} \\ \bold{Second: divide\ by\ 3\ on\ your\ sides!} \\ \bold{Like\downarrow} \\ \bold{\frac{3x}{3}=\frac{6}{3}} \\ \bold{Cancel:\frac{3x}{3}\ because\ it\ gives\ us\ 1} \\ \bold{Keep:\frac{6}{3}\ because\ it\ gives\ us\ the\ answer\ for\ 'x'}[/tex]

[tex]\boxed{\boxed{\bold{Answer:x=2}}}\checkmark\\ \\ \bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your\ day!} \\ \\ \\ \frak{LoveYourselfFirst:)}[/tex]

Cross out out comes that should happen. The others are evidence based, the one you cross out was theory based

Answer:

The rule or the sequence is : an = -3n - 1

Step-by-step explanation:

* Lets look to the terms of the sequence

 -4 , -7 , -10 , -13

- The difference between each two consecutive terms is:

 -7 - -4 = -3 , -10 - -7 = -3 . -13 - -10 = -3

∴ It is an arithmetic sequence

* because we add a constant value to each term to find the second term

- That means a1 = a , a2 = a + d , a3 = a + 2d , ............

* The rule of any term of the arithmetic sequence is;

- an = a + (n - 1) d , where a is the first term , d is the constant

 difference and n is the position of the number in the sequence

∵ a = -4 and d = -3

∴ The rule of any term in this sequence is:

* an = -4 + (n - 1)(-3)

* Lets simplify the formula

∴ an = -4 + -3n + 3

∴ an = -3n - 1

* The rule or the sequence is : an = -3n - 1

Answer:

its B on edge 2020

Step-by-step explanation:

Answer:

im not sure but you can find the answer on  math solver with steps

Step-by-step explanation:

He should put in $30.48 to reach the minimum.

Hope this helps.

Answer:

When x=20, y =9.

Step-by-step explanation:

Rewrite the equation into slope-intercept form.

4y=-4+2x

Divide by 4 to isolate y

y=-1+(2/4)x

y=(1/2)x -1

Then plug in 20 for x.

y=(1/2)(20)-1

y=10-1

y=9

Answer:

56°

Step-by-step explanation:

Because the two lines are parallel, the corresponding angles are equal. The two corresponding ∠s are ∠A and ∠B. ∠A=∠B

∠A=4x

∠B=2(x+14)

4x = 2 (x+14)

the right side requires the distributive property

a) 4x = 2x+28

2x = 28

x = 14

b) now plug in x for both ∠s to find ∠A and ∠B

∠A = 4x = 4(14) = 56°

∠B = 2(x+14) = 2(14+14) = 2(28) = 56°

I just did both angles to show that they are equal and it is a way to check your work

Answer:

D

Step-by-step explanation:

She will have 0.09 lbs of GORP left over.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Total of 19.5 lbs of GORP

She needs to divide them into 2.75 lb

So,

=19.5/2.75

=7.09

Here, 0.09 means She will have 0.09 lbs of GORP left over.

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Answer:

y = 32

Step-by-step explanation:

For the given expression √(2y+3) =11, the value of y in this equation is 59.

The given expression is,

√(2y+3) =11

Take square both sides of the equation to eliminate the square root.

This gives us:

(√(2y+3))² = 11²

Simplifying the left side, we have:

2y + 3 = 121

Next, Subtract 3 from both sides to isolate the 2y term:

2y + 3 - 3 = 121 - 3

2y = 118

Finally, Divide both sides by 2 to solve for y:

y = 59

Therefore, the value of y in this equation is 59.

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The cost of purchasing team shirts from Reggie's Tees and City Printing is the same for 5 shirts. This is determined by setting up an algebraic equation and solving for the number of shirts where both costs are equal.

The student has posed a problem involving algebra where they are comparing the costs of two options for purchasing team shirts.

To find out at which point the cost of buying team shirts from Reggie's Tees with a $40 setup fee and $4 per shirt is equal to the cost of buying from City Printing with a $20 setup fee and $8 per shirt, we can set up the following algebraic equation:

Let x represent the number of shirts.

Equation for Reggie's Tees: 40 (setup fee) + 4x (price per shirt)

Equation for City Printing: 20 (setup fee) + 8x (price per shirt)

To find the number of shirts for which the costs are the same, we set the two equations equal to each other:

40 + 4x = 20 + 8x

Solving further:

4x - 8x = 20 - 40

-4x = -20

x = (-20)/(-4)

x = 5

So, the cost for both options is the same when the team orders 5 shirts.

Answer:

1/3 0r 33%

Step-by-step explanation:

P(roll greater than 4) is 1/3.

If we take the ratio of number of favourable outcomes to the number of all possible outcomes of an event, then this ratio is called probability.

We roll a fair 6 sided die.

All the possible outcomes are (S) = {1, 2, 3, 4, 5, 6}

Number of all possible outcomes = n(S) = 6

Numbers greater than 4 are {5, 6}

So, n(roll greater than 4) = 2

∴ P(roll greater than 4) = n(roll greater than 4)/n(S)

                                        = 2/6 = 1/3

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Answer:

x = 40

Step-by-step explanation:

Solve the equation using inverse operations.

5 = 1/5x - 3          Add 3 to both sides

8 = 1/5x               Multiply by 5 on both sides

40 = x

Answer:

[tex]\large\boxed{-2x(6x^4-7x^2+x-5)=-12x^5+14x^3-2x^2+10x}[/tex]

Step-by-step explanation:

[tex]-2x(6x^4-7x^2+x-5)\qquad\text{use the distributive property}\\\\=(-2x)(6x^4)+(-2x)(-7x^2)+(-2x)(x)+(-2x)(-5)\\\\=-12x^5+14x^3-2x^2+10x[/tex]

Answer:

(5,7)

Step-by-step explanation:

x + 2 = 2x - 3

2x - x = 5

x = 5

When X = 5, Y= 7

Best regards

Answer:

(x-7)(x+2); x = -2, 7

Step-by-step explanation:

Solve the equation by factoring and setting each factor equal to 0.

The expression x² - 5x - 14 factors into two numbers which multiply to -14 and add to -5. These numbers are -7 and 2. The factors are (x-7)(x+2). Set each equal to 0 and solve.

x-7 = 0

x = 7

x+2 = 0

x = -2

Answer:

A: 25[tex]\pi[/tex]

Step-by-step explanation:

The area for a circle is:

A = [PI*d^2] / 4

Then

A = (25/2)*[tex]\pi[/tex]

Best regards

One example of constant polynomial is q(x) = 7.

A constant polynomial is the same thing as a constant function. That is, a

constant polynomial is a function of the form

p(x) = c

In other words a polynomial P(x) that, when evaluated over each x in the domain of definition, results in the same value. The simplest example is P(x)=c for x in R and c a constant.

Answer:

294.6 earth years

Step-by-step explanation:

You only need to multiplied by 10

Best regards

Answer:

C

Step-by-step explanation:

multply by 10

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷P*5/6=4

First, you need to multiply each side by 6/5 to get ride of the 5/6:

p=24/5

Final answer:

p=24/5

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

TROLLER

Answer:

Many expressions would satisfy this set. One example would be y = 7x + 2

Step-by-step explanation:

To find this, give x a random coefficient, for this purpose, we'll use 7.

y = 7x + c

Now plug in and solve to get the constant.

-33 = 7(-5) + c

-33 = -35 + c

2 = c

Now model the equation.

y = 7x + 2

Answer:

16.17684994

Step-by-step explanation:

First diagonal

x^2 = a^2 + b^2

x^2 = 5^2 + 6^2

x^2 = 61

x ≈ 7.810249676

Second diagonal

x^2 = a^2 + b^2

x^2 = 7.810249676^2 + 3^2

x^2 = 70

x ≈ 8.366600265

Sum of both diagonals

8.366600265 + 7.810249676

= 16.17684994

Answer:

16

Step-by-step explanation:

i just know

Answer:

the answer is a

Step-by-step explanation:

x=2

sorry for the bad handwriting btw.

Answer:

The solution for the absolute value equation is  [tex]x=-1\quad \mathrm{or}\quad \:x=2[/tex].

Step-by-step explanation:

Consider the provided absolute value equation.  

[tex]|2x-1|=3[/tex]

[tex]\mathrm{If}\:|u|\:=\:a,\:a>0\:\mathrm{then}\:u\:=\:a\:\quad \mathrm{or}\quad \:u\:=\:-a[/tex]

By using the above rule.

[tex]2x-1=-3\quad \mathrm{or}\quad \:2x-1=3[/tex]

[tex]2x=-3+1\quad \mathrm{or}\quad \:2x=3+1[/tex]

[tex]2x=-2\quad \mathrm{or}\quad \:2x=4[/tex]

[tex]x=-1\quad \mathrm{or}\quad \:x=2[/tex]

Hence the combine solution is [tex]x=-1\quad \mathrm{or}\quad \:x=2[/tex]

Answer:

Part A) For the number of hours less than 5 hours it make more sense to rent a scooter from Rosie's

Part B) For the number of hours greater than 5 hours it make more sense to rent a scooter from Sam's

Part C) Yes, for the number of hours equal to 5 the cost of Sam'scooters is equal to the cost of Rosie's scooters

Part D) The cost is $90

Step-by-step explanation:

Let

x-------> the number of hours (independent variable)

y-----> the total cost of rent scooters (dependent variable)

we know that

Sam's scooters

[tex]y=8x+30[/tex]    

Rosie's scooters

[tex]y=10x+20[/tex]

using a graphing tool

see the attached figure

A. when does it make more sense to rent a scooter from Rosie's? How do you know?

For the number of hours less than 5 hours it make more sense to rent a scooter from Rosie's  (see the attached figure) because the cost in less than Sam' scooters

B. when does it make more sense to rent a scooter from Sam's? How do you know?

For the number of hours greater than 5 hours it make more sense to rent a scooter from Sam's  (see the attached figure) because the cost in less than Rosie' scooters

C. Is there ever a time where it wouldn't matter which store to choose?

Yes, for the number of hours equal to 5 the cost of Sam'scooters is equal to the cost of Rosie's scooters. The cost is $70 (see the graph)

D. If you were renting a scooter from Rosie's, how much would you pay if you were planning on renting for 7 hours?

Rosie's scooters

[tex]y=10x+20[/tex]

For x=7 hours

substitute

[tex]y=10(7)+20=90[/tex]

The cost is $90

When renting a scooter, the independent variable is the number of hours rented, and the dependent variable is the total cost. Renting from Rosie's is cheaper after 10 hours, while renting from Sam's is cheaper for fewer than 10 hours. There is no cost difference at exactly 10 hours, and renting from Rosie's for 7 hours would cost $90.

To solve systems of equations word problems involving rental costs for scooters from two different companies, we must first establish a system of equations to represent each company's pricing structure. For Sam's Scooters, the equation is y = 30 + 8x, where y is the total cost to rent a scooter and x is the number of hours the scooter is rented. For Rosie's, the equation is y = 20 + 10x.

The independent variable (x) is the number of hours the scooter is rented, and the dependent variable (y) is the total cost of the rental.

Questions: