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Sebastian has a points card for a movie theater.
-He earns 85 points just for signing up.
-He earns 2.5 points for each visit to the movie theater.
-He needs 115 points for a free movie ticket.

Write and solve an Equation which can be used to determine v, the number of visits Sebastian must make to earn a free movie ticket.

Answer:

56.68

Step-by-step explanation:

all credit to the person who commented on the answer above this. As they said, the correct answer is $56.68

Dean paid $56.50 including tax for the necklace.

Markup percentage is given by:

Markup = [(selling price - cost price)/cost price] * 100%

Let x represent the store selling price, hence:

110% = (x - 23.52)/23.52 * 100%

1.1 = (x - 23.52)/23.52

x = $49.39

Money paid by Dean = x + 14.75% of x = 49.39 + (0.1475 * 49.39) = 56.60

Dean paid $56.50 including tax for the necklace.

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Answer:

Step-by-step explanation:

i think 1

Answer:

x < -7/3 or x > 5

Answer:

3.5 meters times 100 is equal to 350 centimeters.

Step-by-step explanation:

Answer:

60 I think 3/5 converted to a decimal would be 0.6 right?

Step-by-step explanation:

The ratio of boy to girl who play kickball at race is 6 to 2. There are 18 girl on the team. the number of boys who play kickball at race is 12 boys.

The ratio of boy to girl who play kickball at race is 6 to 2

6 boys: 2 girls

Multiply the number of girls by the ratio:

18 girls x (6 boys / 2 girls) = 18 x 3 = 54

Subtract the number of girls from the total to get the number of boys:

54 - 18 = 36

Therefore, there are 12 boys who play kickball at race.

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The number of hot water bottles sold is 12.

Let the number of hot water bottles sold be x.

Given that the customer bought 10 times as many thermometers as hot water bottles.

So the number of number of thermometer is = 10x.

Cost of each thermometers is = $2.

So the cost of '10x' number of thermometers is = $2*10x = $20x.

Cost of each hot water bottles = $6.

So the cost of 'x' hot water bottles is = $6x.

So the total sales = $20x + $6x = $26x.

Given that the total sales according to data is $312.

So the equation which best fit this situation is,

26x = 312

x = 312/26 = 12

Hence the number of hot water bottles sold is 12.

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Answer:

Hey there!

In total, there are 360 degrees. If there are 40 staff members, then each member has 360/40=9 degrees.

Hope this helps :)

Answer:

9 degrees

Step-by-step explanation:

There are 360 degrees in a circle

There are 40 people

360 / 40 = 9

Each person gets 9 degrees

Answer:

y = -x + 5 or  y = -1x + 5

you did it correctly but you have to put -1 instead of - since it doesn't know what you mean by just - yk

Step-by-step explanation:

5 (6 - x) = 5 (1 + y)

30 - 5x = 5 + 5y

-5             - 5    

25 - 5x = 5y

5y = -5x + 25

5            5

y = -x + 5

Answer:

7.2 min

Step-by-step explanation:

50.4 / 7 = 7.2 min

Answer:

5 INCHES

Step-by-step explanation:

If 2 inches = 350 miles

then 1 inch is 350%2 which is 175

So 875 % 175 = 5 inches

Answer:

sorry I don't know......

Answer:

  9/4

Step-by-step explanation:

You want to know the value required to complete the square in the equation 1 = x² -3x.

Your picture shows the required value: (-3/2)² = 9/4.

<95141404393>

#a

\(\\ \rm\Rrightarrow f(-4)\)

\(\\ \rm\Rrightarrow 3(-4)+2\)

\(\\ \rm\Rrightarrow -12+2\)

\(\\ \rm\Rrightarrow -10\)

#b

#1

\(\\ \rm\Rrightarrow y=\dfrac{2x-1}{3}\)

\(\\ \rm\Rrightarrow x=\dfrac{2y-1}{3}\)

Find y

\(\\ \rm\Rrightarrow y=\dfrac{3x+1}{2}\)

Inverse is

\(\\ \rm\Rrightarrow g^{-1}(x)=\dfrac{3x+1}{2}\)

#2

\(\\ \rm\Rrightarrow gof(x)\)

\(\\ \rm\Rrightarrow g(f(x))\)

\(\\ \rm\Rrightarrow g(3x+2)\)

\(\\ \rm\Rrightarrow \dfrac{2(3x+2)-1}{3}\)

\(\\ \rm\Rrightarrow \dfrac{6x+4-1}{3}\)

\(\\ \rm\Rrightarrow \dfrac{6x+3}{3}\)

If we factor out

\(\\ \rm\Rrightarrow \dfrac{2x+1}{1}\)

\(\\ \rm\Rrightarrow 2x+1\)

#c

\(\\ \rm\Rrightarrow f(x)=g(x)\)

\(\\ \rm\Rrightarrow 3x+2=\dfrac{2x-1}{3}\)

\(\\ \rm\Rrightarrow 3(3x+2)=2x-1\)

\(\\ \rm\Rrightarrow 9x+6=2x-1\)

\(\\ \rm\Rrightarrow 7x=-7\)

\(\\ \rm\Rrightarrow x=-1\)

Answer:

Given functions:

\(f(x)=3x+2\)

\(g(x)=\left(\dfrac{2x-1}{3}\right)\)

Part (a)

\(\begin{aligned}\implies f(-4) & = 3(-4)+2\\& = -12+2\\ & = -10\end{aligned}\)

Part (b)(i)

\(\begin{aligned}g(x) & =\left(\dfrac{2x-1}{3}\right)\\\\\textsf{Swap }g(x) \textsf{ for }y : \\\implies y & = \left(\dfrac{2x-1}{3}\right)\\\\\textsf{Make } x \textsf{ the subject}: \\\implies 3y & = 2x-1\\3y+1 & = 2x\\x & = \dfrac{3y+1}{2}\\\\\textsf{Swap }x \textsf{ for }g^{-1}(x) \textsf{ and }y \textsf{ for }x:\\\implies g^{-1}(x) & = \dfrac{3x+1}{2}\end{aligned}\)

Part (b)(ii)

\(\begin{aligned}gf(x) & = \dfrac{2[f(x)]-1}{3}\\\\& = \dfrac{2(3x+2)-1}{3}\\\\& = \dfrac{6x+4-1}{3}\\\\& = \dfrac{6x+3}{3}\\\\& = \dfrac{6x}{3}+\dfrac{3}{3}\\\\& = 2x+1\end{aligned}\)

Part (c)

\(\begin{aligned}f(x) & = g(x)\\\\\implies 3x+2 & = \dfrac{2x-1}{3}\\\\3(3x+2) & = 2x-1\\\\9x+6 & = 2x-1\\\\7x & = -7\\\\\implies x & = -1\end{aligned}\)

If a box has length of 1.3 m, width of 4.34 feet and height of 1.34 yard, the volume is 2.06432 m³.

The given measurements of the box are: length = 1.3 m, width = 4.34 feet, height = 1.34 yard

We need to convert feet and yards into meters because the volume is required in cubic meters.

1 foot = 0.3048 meters (approx)

1 yard = 0.9144 meters (approx)

Now, let's convert the width and height into meters.

Width in meters = 4.34 feet × 0.3048 meters/foot = 1.322912 meters (approx)

Height in meters = 1.34 yards × 0.9144 meters/yard = 1.223376 meters (approx)

Therefore, the volume of the box in cubic meters = length × width × height = 1.3 m × 1.322912 m × 1.223376 m ≈ 2.06432 m³ (rounded to five decimal places)

Hence, the volume of the box in m³ is 2.06432.

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A gazebo, a rose garden, and a bench are located at the vertices of a triangle.To build a goldfish pond that is equidistant from the gazebo, the rose garden, and the bench, the landscaper can use the concept of the circumcenter of a triangle.

Generally, The circumcenter is the center of the circle that passes through all three vertices of the triangle. To find the circumcenter, the landscaper can follow these steps:

Draw the triangle formed by the gazebo, the rose garden, and the bench, labeling the vertices A, B, and C.

Draw the perpendicular bisectors of each side of the triangle. The intersection of these three lines is the circumcenter.

If the landscaper cannot draw the perpendicular bisectors, they can also use the formula for the circumcenter:

The circumcenter is located at the intersection of the lines:

x = (A^2 + C^2 - B^2) / (2 * AC)

y = (A^2 + B^2 - C^2) / (2 * AB)

where (x, y) is the coordinates of the circumcenter, and A, B, and C are the lengths of the sides of the triangle.

The landscaper can then build the goldfish pond at the location of the circumcenter. This will ensure that the goldfish pond is equidistant from the gazebo, the rose garden, and the bench.

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The Poynting theorem is based on the principle of the conservation of energy and states that the net energy flow per unit time in any region of space is equal to the difference between the rate of change of energy stored in the field and the power absorbed by the charges.

Mathematically, the Poynting theorem is expressed as follows:S = E × HWhere S is the Poynting vector, E is the electric field, and H is the magnetic field. It represents the direction and magnitude of the electromagnetic energy flow in the electromagnetic wave.

The physical meaning of the Poynting theorem is that the energy transfer in electromagnetic waves is due to the electromagnetic fields, which can be visualized using the Poynting vector. It describes the transfer of energy from the electric field to the magnetic field and vice versa.

The Poynting vector is perpendicular to both the electric and magnetic fields and is proportional to the amplitude of the fields squared. The direction of the Poynting vector is in the direction of the energy flow of the wave.The Poynting theorem is important in many applications, such as in antenna design, where the energy flow is critical in determining the direction and strength of the radiation pattern.

It is also used in optics, where it describes the flow of electromagnetic energy through optical fibers and the transfer of energy between electromagnetic waves and matter.The Poynting theorem is a fundamental principle of electromagnetic theory that describes the transfer of energy in electromagnetic waves.

It provides a mathematical framework for understanding the energy flow of the fields and is essential in many applications of electromagnetism. The Poynting vector is a useful tool for visualizing the direction and magnitude of the energy flow and is an important concept in antenna design and optics.

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Answer: C

Step-by-step explanation:

IT is dividing by 6

The value of x in the given diagram of two similar triangle is  9 units.

Let us consider the name of two triangles be ABC and PQR.

Such that,

In triangle ABC,

AB = 12 , BC = 54 , m∠BAC = 90° and marked angle  is ∠ABC .

In triangle PQR,

PQ = 2 , QR = x, m∠QPR = 90° and marked angle  is ∠PQR .

In triangle ABC and PQR we have,

m∠BAC = 90° = m∠QPR

m∠ABC = m∠PQR  (given )

By AA corollary,

Triangle ABC is similar to triangle PQR with correspondence ABC ↔ PQR.

Corresponding sides of the similar triangle are in proportion.

AB / PQ = BC / QR

⇒ 12 / 2 = 54 / x

⇒ 12x  = 54 × 2

⇒ x = ( 54 × 2 ) / 12

⇒ x = 9

Therefore, the value of x in the given triangle is equal to 9 units.

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Answer:

1) 2 × (-15) = -30

It could be 1+12 2+11 3+10 4+9 5+8 6+7 any of those

Answer:

A= 90 , b= 12 , c=60,

Step-by-step explanation:

cuz im smart like that

Answer: not sure but needed free answers without ads

Step-by-step explanation:

Answer:

the answer is -36.125

Step-by-step explanation:

When two opposite sides of a rectangle increase in length, the other two opposite sides decrease in length if the area of the rectangle is to remain constant. Thus, option (B) is the correct answer.

How do I find the length of opposite sides of a rectangle?

In a rectangle, the opposite sides are of equal length. As a result, if you have the length of one side of a rectangle, you can find the length of the opposite side. Furthermore, if you know the length and width of a rectangle, you can find the area, perimeter, and diagonal of the rectangle.

The area of a rectangle is given by A = l × w,

where A represents the area, l represents the length, and w represents the width.

To find the length and width of a rectangle, use the formula A = l × w.

If you know the length of one side of a rectangle, you can calculate the length of the opposite side because the opposite sides of a rectangle are equal in length.

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Answer:

(4x+7)(4x-7)

Step-by-step explanation:

The total red area of the five circles making up this archery target is given by the formula πr2.
The diameter of the first circle is length so its radius is length/2. Therefore, the red area of the first circle is π(length/2)2.
The diameter of the second circle is 2 so its radius is 1.

Therefore, the red area of the second circle is π.  Adding these together, the total red area is π(length/2)2 + π.

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There would be 17 lattice points lie on the hyperbola x²-y²=17

To find the lattice points on the hyperbola x²-y²=17, we can use some algebraic manipulation. First, we can rewrite the equation as y²=x²2-17, which means that both x² and y^2 must be integers.

Next, we can note that x² can only take on values that are congruent to 0 or 1 mod 4, since the only possible quadratic residues mod 4 are 0 and 1. This means that x must be an even integer or an odd integer that is ± 1 mod 4.

For each possible value of x, we can then solve for y by taking the square root of x²-17. However, we must be careful to only include the solutions where y is also an integer. This means that x²-17 must be a perfect square.

Using this method, we can check each possible value of x and find that the only lattice points on the hyperbola are (± 5, ± 2) and (± 4, ± 1). Therefore, there are a total of eight lattice points on the hyperbola x²-y²=17.

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Using the ASA congruence theorem, the missing statement in her proof is: A. ΔACD ≅ ΔECB.

Two triangles are congruent by the ASA congruence theorem if they have two pairs of corresponding congruent angles and a pair of included congruent sides.

In the proof given in the diagram, using the ASA congruence theorem, Rowena has been able to prove that ΔACD and ΔECB have two pairs of corresponding congruent angles and a pair of included congruent sides.

Therefore, the missing statement in her proof is: A. ΔACD ≅ ΔECB.

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Answer:

A   see picture

Step-by-step explanation:

29.78% of customers will most likely probability be waiting between 4 and 9 minutes.

The formula for the z score is-

z = (x - μ)/σ

In which,

μ =  mean of 10. 3 minutes

σ = standard deviation of 2. 7 minutes.

z score for the x = 4 minutes.

z = (4 - 10.3)/2.7

z = -2.33

z score for the x = 9 minutes.

z = (9 - 10.3)/2.7

z = -0.48

Thus,

Probability that the customer will have to wait between 4 and 9 minutes.

P(4 < x < 9) = P(-0.48 < z <  -2.33)

Use z score table-

P(4 < x < 9) =  0.3085 - 0.0107

P(4 < x < 9) = 0.2978

P(4 < x < 9) = 29.78%

Thus, 29.78% of customers will most likely be waiting between 4 and 9 minutes.

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