Tickets to a baseball game cost $22 each and parking costs $10.
What is the equation of the line that represents the cost of attending the game?
A. y – 22 = 10x
B. y = 22x + 10
C. y = 22x – 10
D. 22x + y = 10

The dimensions of the room will be 12m x 6m.

So, now calculate the dimensions of the room as follows:

Solve as shown:

Therefore, 12m x 6m will be the dimensions of the room.

Learn more about dimensions here :

brainly.com/question/15688735

#SPJ4

Answer:

(-9.5, -4)

Step-by-step explanation:

Given the ratio a:b (a to b) of two segments formed by a point of partition, and the endpoints of the original segment, we can calculate the point of partition using this formula:

\(( \frac{a }{a + b} (x_{2} - x_{1}) + x_{1}, \frac{a}{a + b} (y_{2} - y_{1})+y_{1})\).

Given two endpoints of the original segment

→ (-10, -8) [(x₁, y₁)] and (-8, 8) [(x₂, y₂)]

Along with the ratio of the two partitioned segments

→ 1 to 3 = 1:3 [a:b]

Formed by the point that partitions the original segment to create the two partitioned ones

→ (x?, y?)

We can apply this formula and understand how it was derived to figure out where the point of partition is.

Here is the substitution:

x₁ = -10

y₁ = -8

x₂ = -8

y₂ = 8

a = 1

b = 3

\(( \frac{a }{a + b} (x_{2} - x_{1}) + x_{1}, \frac{a}{a + b} (y_{2} - y_{1})+y_{1})\). →

\(( \frac{(1) }{(1) + (3)} ((-8) - (-10)) + (-10), \frac{(1)}{(1) + (3)} ((8) - (-8))+ (-8))\) →

\(( \frac{1}{4} ((-8) - (-10)) + (-10), \frac{1}{4}((8) - (-8)) + (-8))\) →

\(( \frac{1}{4} (2) + (-10), \frac{1}{4}(16) + (-8))\) →

\(( (\frac{1}{2}) + (-10), (4) + (-8))\) →

\(( (-\frac{19}{2}), (-4))\) →

\(( -\frac{19}{2}, -4)\) →

*\(( -9.5, -4)\)*

Now the reason why this

The equation is y = ax² + bx + c,  standard form of the parabola is y = ax² + bx + c.

The equation for a parabola in standard form is given by:

y = ax² + bx + c

where a, b, and c are constants and x and y are variables.

To convert from vertex form to standard form, you can follow these steps:

Expand the squared term in the vertex form to get the x² term in standard form. For example, if the vertex form is:

y = a(x - h)² + k

then expand (x - h)² to get x² - 2hx + h², giving:

y = a(x² - 2hx + h²) + k

Distribute the 'a' term to get the coefficient of x². This gives:

y = ax² - 2ahx + ah² + k

Combine the constant terms to get the constant coefficient. This gives:

y = ax² - 2ahx + (ah² + k)

Therefore, the standard form of the parabola is y = ax² + bx + c, where:

a = the coefficient of x², which is a

b = the coefficient of x, which is -2ah

c = the constant term, which is (ah² + k)

To learn more about equation click here

brainly.com/question/4074088

#SPJ4

Answer:

8.5

Step-by-step explanation:

the answer should be 175

Answer:

Step-by-step explanation:

To find the equation of a line that passes through two given points, we can use the point-slope form of a linear equation.

Let's denote the coordinates of the first point as (x1, y1) and the coordinates of the second point as (x2, y2):

First point: (-3, -5)

Second point: (2, -3)

We can calculate the slope (m) using the formula:

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

Substituting the coordinates into the formula:

m = (-3 - (-5)) / (2 - (-3))

m = (-3 + 5) / (2 + 3)

m = 2 / 5

Now that we have the slope (m), we can use the point-slope form of a linear equation:

y - y1 = m(x - x1)

Choosing either of the given points, let's use the first point (-3, -5):

y - (-5) = (2/5)(x - (-3))

y + 5 = (2/5)(x + 3)

Simplifying the equation:

y + 5 = (2/5)x + 6/5

y = (2/5)x + 6/5 - 5

y = (2/5)x + 6/5 - 25/5

y = (2/5)x - 19/5

Therefore, the equation of the line that passes through the points (-3, -5) and (2, -3) is y = (2/5)x - 19/5.

The amount that marcus end up paying for the two shirts originally priced  at $28.99 and $30.29 is given by: Option A: $39.59

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

\(\dfrac{a}{100} \times b\)

For this case, we're given that:

Cost of two shirts originally is $28.99 and $30.29

30% is off on each of them, so we get:

New price of each shirt = Old price of each shirt - 30% of old price of each shirt

New price of each shirt = \(28.99 - \dfrac{28.99}{100} \times 30\) and \(30.29- \dfrac{30.29}{100} \times 30\)

This sums up to $41.496

Now, at this price, there'd be application of 10% additional discount.

That will make the new price as:

\(41.496 - \dfrac{41.496}{100} \times 10 =37.3464\)

Now, on this price, there'd be applied 6% sales tax

So, the amount he paid for 2 shirts = discounted price + 6% tax on discounted amount

= \(37.3464 + \dfrac{37.3464}{100} \times 6 \approx 39.59 \: \rm dollars\)

Thus, the amount that marcus end up paying for the two shirts originally priced  at $28.99 and $30.29 is given by: Option A: $39.59

Learn more about percent here:

https://brainly.com/question/11549320

Answer:

Add

Step-by-step explanation:

When MULTIPLY exponents with same base, you Keep the base and + ADD the exponents.

\( \purple{ \tt{ \huge{ \: ✨Answer ✨ \: }}}\)

\( \: \: \: \: \: \: \: \: \: \: \: \: \red{ \boxed{ \boxed{ \huge{ \tt{{ \: add \: }}}}}}\)

Answer: 4 1/2 hours

Step-by-step explanation:

if it takes luke 3 hours to drive 150 miles that means in 6 hours he would have driven 300 miles.

he drives 50 miles per hour

so 250 miles is 4 1/2

In the game of flipping the coin the expected number of flips will range from 4 to 7.

In the game of flipping a coin one person get one point for the head and the other person who is the opponent gets one point for the tails.

The first one who gets Four Points will win the game.

The minimum number of time that are required to flip the coin to decide a winner will be in the range of 4 to 7.

Now let us understand that why the expected number of flip is 4. Is time bhi flip the coin only one person will get a point.

In order to reach Four Points whether the person can get directly 4 favourable results or the person can have the favourable result in the maximum of 7 flips.

The number of flips cannot exceed 7 because that will make the score more than 4 which is not expected.

To know more about probability, visit,

https://brainly.com/question/25883904

#SPJ4

(i) The polar coordinates (r, θ) of the point (4, 3) are (5, arctan(3/4)). (ii) For a point with negative radius, the concept of polar coordinates is not applicable as polar coordinates are defined for points in the positive radial direction.

(i) To find the polar coordinates (r, θ) of the point (4, 3), we can use the formulas:

r = √(x² + y²) and θ = arctan(y/x).

Given that x = 4 and y = 3, we can calculate the values:

r = √(4² + 3²) = 5

θ = arctan(3/4)

Therefore, the polar coordinates of the point (4, 3) are (5, arctan(3/4)).

(ii) For a point with negative radius, the concept of polar coordinates is not applicable. In polar coordinates, the radius (r) is always defined as a positive value. Negative values of r would imply a direction opposite to the positive radial direction. However, the convention of polar coordinates focuses on the positive radial direction, so negative radius values are not considered.

In conclusion, polar coordinates are not defined for points with negative radius values, and therefore, the concept of polar coordinates does not apply to find the polar coordinates of a point with r < 0.

Learn more about polar coordinates here:

https://brainly.com/question/31904915

#SPJ11

Answer:

\(9x^3 +2y^3 + 5y\)

Step-by-step explanation:

\(3x^3+ 2y^3 + 6x^3 + 5y\)

Combine like terms:

\(3x^3+ 2y^3 + 6x^3 + 5y\)

\((3x^3+6x^3) +2y^3 + 5y\)

\(9x^3 +2y^3 + 5y\)

Hope this helps!

Answer: To find the inverse of a function f(x), we need to switch the x and y variables and then solve for y.

So, the inverse function f^-1(x) of f(x) = 2x - 3 is:

f^-1(x) = (x+3)/2

This is the inverse of the function, and it can be denoted by f^-1(x) = (x+3)/2

Step-by-step explanation:

For the Random variables, X and Y where both are nonnegative for all points in a sample space S. The expected value of Z ( random variable) is, E(Z) = E(X) + E(Y).

We have X and Y are random variables and that X and Y are non-negative for all points in a sample space S. Let us consider X be another random variable defined as Z(s) = max( X(s), Y(s))

for all elements s belongs to S. We have to show that E( Z) = E(X) + E(Y)

Now, for simple way of representation let

Max ( X(s),Y(s)) = Max(X,Y)

We know that Max(X,Y) = [(X+Y) + |X-Y|]

So, Z = Max(X,Y) = [(X+Y) + |X-Y|]

Taking expectations E(Z) = E(Max(X,Y)

= E{[(X+Y) + |X-Y|]}

\(E(Z)= \frac{1}{2} [E(X+Y) + E|X-Y|] = [E(X) + E(Y) + E|X-Y|] \\ \) (Since E(X + Y) = E(X)+ E(Y))

\(E(Z) = \frac{1}{2}[E(X)+ E(Y) + E|X| + E|-Y|]\\ \)

\(= \frac{1}{2} [E(X) + E(Y) + E(X) + E(Y)]\) (Since X and Y are non negative so E|X| = E(X) and E(-Y)=E(Y) )

=> E(Z) = E(X)+ E(Y)

Hence, required results occurred.

For more information about expected value, visit :

https://brainly.com/question/24140707

#SPJ4

Answer: Hehe hewo!!!

Step-by-step explanation: Wuv wou :P

Answer: 275 cm

volume = length x width x height

v = 6.25 x 8 x 5.5

v = 275

Answer:

473 potatoes

Step-by-step explanation:

473/1 = 473

(Plus anything times/divided by 1 equals itself)

so 1:1 x 473:473 = 473:473

Therefore there are 473 potatoes

Answer:

473 potatoes

Step-by-step explanation:

The ratio is 1:1, meaning that for every carrot, there is a potato.

Answer:

Step-by-step explanation:

SOLVING

================================================================

6=-2(7-c)

Use distribution to multiply -2 by parenthesis

6=-14+2c

Add to both sides 14

20=2c

Divide 2 into both sides

10=c

5(h-4)=8

Use distribution to multiply 5 by the parenthesis

5h-20=8

Add to both sides 20

5h=28

Divide 5 into both sides

\(h=\frac{28}{5}\)

Learn more;work harder

#Carryonlearning

==============================================================

The coordinates which divide the segment with endpoint (-1,-2) and (8,4) in the ratio 2 to 1 are (5,2)

What is section formula?

Section formula is used to find the ratio in which a line segment is divided by a point internally or externally. The section formula can be given as

\((\frac{mx_{2}+nx_{1} }{m+n} ,\)\(\frac{my_{2}+ny_{1} }{m+n})\) where \((x_{1},y_{1} ),(x_{2},y_{2} )\) are the endpoints of the segment and this points are divided in the ratio \(m:n\)

We are given the coordinates as (-1,-2) and (8,4)

This segment is divided in ratio 2:1

We use section formula to find the coordinates

the x- coordinates can be given as

\(x=\frac{2(8)+1(-1)}{2+1}\)

\(x=\frac{16-1}{3}\\\)

\(x=\frac{15}{3}\)

\(x=5\)

Similarly the y coordinate can be given as

\(y=\frac{2(4)+1(-2)}{2+1}\)

\(y=\frac{8-2}{3}\)

\(y=\frac{6}{3}\)

\(y=2\)

Hence the coordinates which divide the segment with endpoint (-1,-2) and (8,4) in the ratio 2 to 1 are (5,2)

To learn more about the section formula please refer

https://brainly.com/question/26433769

#SPJ9

Answer:

n = 8

Step-by-step explanation:

13n-6 = 98

Solution:

Hence the value of n is 8.

13n - 6 = 98

13n = 98 + 6

13n = 104

n = 104/13

n = 8

Answer:

D would be the wisest choice.

Step-by-step explanation:

Consider the taxes and extra expenses the purchase may have. They may raise the actual payment, plus if you don't pay the balance immediately it'll keep growing and growing until you're in deeper debt.

Hope this helped, have a nice day!

Answer:

10 30 15 16 48 24 25 75 37.5

Answer:

7 and 19 its a rectangle so it has 2 congruent sides

Step-by-step explanation:

Answer: the direction

Answer:

B). the direction

Step-by-step explanation:

Edgen 2021

Answer: 11 donuts

Step-by-step explanation:

The area of the shaded region is 36.3  to 3  significant figures

What is the area?

A two-dimensional figure's area is the amount of space it takes up. In other terms, it is the amount that counts the number of unit squares that span a closed figure's surface.

Step one: find the two diagonals of the kite.

The Horizontal diagonal can be obtained using the cosine rule:

AC² = OA²- OC² - 2 *OA*OC* cosθ

       = 10²+ 10² - 2* 10 *10 * cos(120)

AC² = 200

=> AC=√200 = 14.1

The vertical diagonal of the kite can be obtained by Pythagoras' Theorem:

Please note the law in circle geometry which states that a radius and a tangent always meet at right angles.

This implies that triangle OBC is a right-angled triangle, with angle OCB being 90 degrees, and COB being 60 degrees. This is because the diagonal divides the 120-degree angle into half.

cos(60)= 10/OB

=> OB= 10/ cos(60) = 20 m

Step two: Use the dimensions of the two diagonals of the Kite to find the area:

The area of a Kite is obtained using this formula:

area = pq/2, , where p and q are the two diagonals.

area =( 14.1*20)/2 = 141 m²

Step three: Calculate the area of the sector of the circle.

Area of the sector is obtained using this formula

Area =θ/360 * πr²  = 120/360 * 3.14 * 10²  = 104.66 m²

Step Four: Subtract the area of the sector from the area of the kite:

Area of the shaded region will be  141 m²  -  104.66 m²  = 36.34 m²

To learn more about the area from the given link

https://brainly.com/question/25292087

#SPJ1

Answer:

5 tables

Step-by-step explanation:

Let x be the number of tables the school needs to rent, and c be the total cost of renting the tables.

We can use the following equation to represent the cost of renting from the first company:

c = 20 + 12x

And we can use the following equation to represent the cost of renting from the second company:

c = 30 + 10x

As c is the same constant in both equations, we can say the following:

20 + 12x = 30 + 10x

Now we can solve this equation by simplifying:

20 + 12x = 30 + 10x

20 + 2x = 30

2x = 10

x = 5

Therefore, the school will need to rent 5 tables for the cost to be the same from both renting companies.

Answer: 5 tables

Step-by-step explanation:

The first rental company will charge $32 for one table.

The second rental company will charge $40 for one table.

So if we make a table, and keep adding $12 to the first company and $10 to the second it will look like this.

First company                          Second company                   Table

 $32                                                  $40                                     1

 $44                                                  $50                                     2

 $56                                                  $60                                     3

 $68                                                  $70                                     4

 $80                                                  $80                                     5

Therefore, the school can rent 5 tables for the same price in both companies.