The auditorium holds 200 people. Tickets cost $12 at the door and $8.50 if purchased in advance. The Honor Society has a goal of selling at least $1000 worth of tickets to the show.

Write a system of inequalities that can be used to model this scenario.

If 50 tickets are sold in advance, what is the minimum number of tickets that must be sold at the door so that the club meets its goal?

9514 1404 393

Answer:

  470.16 cm²

Step-by-step explanation:

The apothem of the base is used for two purposes: to find the area of the base, and to find the slant height of each face.

The apothem of the base for side length s is ...

  s/2 = a·tan(π/8)

  a = s/(2·tan(π/8)) ≈ 7.24 cm

The slant height of a triangular face is found using the Pythagorean theorem. The apothem of the base and the height are legs of the right triangle whose hypotenuse is the slant height. For slant height x, we have ...

  x² = 10² + a² = 100 +52.46

  x ≈ √152.46 ≈ 12.35

__

The area of the 8 triangular faces will be ...

  A = 1/2Px . . . . where P is the perimeter of the pyramid

The area of the base will be ...

  A = 1/2Pa

So, the total surface area is ...

  A = 1/2P(a + x) = (1/2)(8)(6 cm)(7.24 +12.35 cm) ≈ 470.16 cm²

The answer is 470.16 cm²

Answer:

20 builders

Step-by-step explanation:

Answer: 20 builders.

Step-by-step explanation: For 10 builders to build a house in 20 days, the ratio is 1:2. For builders to build a house in 10 days, the ratio is x:10. You then cross multiply 1:2 and x:10. Then x=20 so 20 builders.

Answer:

1000 pennies 100 is 1 10th 400 makes 500 which is half of 1000

Answer:

And 2 from grand-pa pa

Step-by-step explanation:

Answer: 6 snack bags

Step-by-step explanation:

In rder to know mnay bags destiny ca make, we need a number is a factor of 18 and 12, so that the 18 chocolate candy bars and the 12 cookies can be divided up evenly.

So, if there were 2 bags, thre would be 18÷2=9 chocolate candy bars and 12÷2=6 cookies in a bag. This creates identical snack bags, but isn't the greatest number of bags!

To find the greatest snack bag, we want to find the greatest common factor of 18 and 12

To do so, let's find factors of 18 ans 12

18: 1, 2, 3, 6, 9, 18

12: 1, 2, 3, 4, 6, 12

The greatest common factor of 18 and 12 is 6. in math notation this looks like:

gcf (18, 12) = 6

The greatest number of identical bags can make is 6

Answer:

The greatest common factor of 4 and 19 is 1

Step-by-step explanation:

Answer:

Greatest common factor of 4 and 19 is 1

Answer:

2.2 * 2.2 = 4.84

4.84 * 6 = 29.04

Answer:

[tex]x = 18[/tex]

[tex]y = 6\sqrt{3}[/tex]

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios. The longest side of a right triangle is called the hypotenuse and the other two sides are called the legs.  

Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides as follows:

Cosine Ratio

[tex]\displaystyle \cos\theta=\frac{\text{adjacent leg}}{\text{hypotenuse}}[/tex]

Sine Ratio

[tex]\displaystyle \sin\theta=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]

Consider the angle of θ=30°, then we can write:

[tex]\displaystyle \cos 30^\circ=\frac{x}{12\sqrt{3}}[/tex]

Solving for x:

[tex]x=12\sqrt{3}\cos 30^\circ[/tex]

Since:

[tex]\cos 30^\circ=\frac{\sqrt{3}}{2}[/tex]

Then:

[tex]x=12\sqrt{3}\cdot \frac{\sqrt{3}}{2}[/tex]

[tex]x = 18[/tex]

Now apply the sine:

[tex]\displaystyle \sin 30^\circ=\frac{y}{12\sqrt{3}}[/tex]

Solving for y:

[tex]y=12\sqrt{3}\sin 30^\circ[/tex]

Since:

[tex]\sin 30^\circ=\frac{1}{2}[/tex]

Then:

[tex]y=12\sqrt{3}\cdot \frac{1}{2}[/tex]

[tex]y = 6\sqrt{3}[/tex]

Answer:

[tex]x = 18[/tex]

[tex]y = 6\sqrt{3}[/tex]

Answer:

A) 5÷9

Step-by-step explanation:

As, 5 is a whole number

And when the number ends with "ths" it is always the denominator

So here it is ninths so 9 will be in the denominator

Answer:  The question is The Gardener charged $0.50 per plant and a flat payment of $75. Which function represents this scenario?

The answer is 0.50x-75

The total cost will be the product of the gardener charged and the number of plants. The total cost is $ 37.5

It is also known as the product. If the object n is given to m times then we just simply multiply them.

The gardener charged $ 0.50 per plant and $75 to plant all of them.

Let X be the gardener charged and Y be the number of plants.

The total cost will be the product of the gardener charged and the number of plants. That can be written as

Total cost = X × Y

Total cost = 0.50 × 75

Total cost = $ 37.5

More about the multiplication link is given below.

https://brainly.com/question/19943359

Answer:

A&D

Step-by-step explanation:

Answer:

A. and C.

Step-by-step explanation:

because 2, 2 sides are equal of four line boxes

Answer:

40

Step-by-step explanation:

so (48/120)× 100%=40%

Answer:

3/4*4=3

3/5*6=3.6

2/6*5=1.7

Answer:

-0.9

Step-by-step explanation:

First we have to distribute. -1 times t is -1t and -1 times 8 is -8. Now, our equation will look like this: -1t - 8 = -7.1  

Next, we have to carry our -8 to the other side of the euqation. So, we have to plus 8 on both sides. -7.1 plus 8 is 0.9. Now, our equation will look like this,

-1t = 0.9.

Lastly, we have to divide -1 from both sides. 0.9 divided by -1 is -0.9. So therefore, t = -0.9.

Answer:

x = 70

Step-by-step explanation:

The 2 given angles are same- side interior angles and are supplementary, that is sum to 180° , then

45 + 2x - 5 = 180, that is

2x + 40 = 180 ( subtract 40 from both sides )

2x = 140 ( divide both sides by 2 )

x = 70

Answer:

[tex]g(x)=5x+21[/tex]

Step-by-step explanation:

The slope of g(x) is 5 because the slope of h(x) is 5 and g is parallel to h.

In point-slope form:

[tex]g(x)-1=5(x+4)[/tex]

Rearranging for slope intercept form:

[tex]g(x)-1=5x+20\\g(x)=5x+21[/tex]

Answer:

Try Finding What A And B Is...

Step-by-step explanation:

Answer:

A. Translation, Translation

Step-by-step explanation:

The pre-image was translated 1 unit up then it was translated 4 unit to the right.

Answer:

-3

Step-by-step explanation:

[tex]log_{\frac{1}{2} }8=-log_{2}8=-log_{2} (2^{3})=-3[/tex]

Answer:

-3

Step-by-step explanation:

i forgot how to do the log thingy but the guy on top is also correct

Answer:

Glenda is faster

Step-by-step explanation:

Glenda types 65 wpm (195/3), and Jorge types at 59 wpm (236/4)

Answer:

23 orange pins did Shelby receive.

Step-by-step explanation:

25% = 0.25

92 × 0.25 = 23

Answer:

C. 7*7*7*7*7

Step-by-step explanation:

7^5 is multiplying 7 5 times

Answer:

m⁹

Step-by-step explanation:

In such questions , when any two or more numbers with exponents are multiplied and their bases are equal , the exponents of all the numbers add up . So ,

[tex]m^{5} \times m^{4} = m^{5+4} = m^{9}[/tex]

Answer:

c

Step-by-step explanation:

Answer:

[tex]y=\frac{11}{2}x-10[/tex]

Step-by-step explanation:

Answer: y= 11/2 x - 10

Step-by-step explanation: I think

Answer:

9:45

Step-by-step explanation:

1:5= 6 parts

54/6=9

9*1=9

9*5=45

9:45

Answer:

9kg and 45kg

Step-by-step explanation:

In fraction from 1:5 is equivalent to  1/(1+5) = 1/6 and 5/(1+5) = 5/6.

So the answer is 54 * 1/6 and  54 * 5/6.

= 9 and 45.

Answer:

Step-by-step explanation:

surface of the entire object

1) bottom.  8*16= 128 sq inchs

2) triangle sides.    1/2 b*h =  1/2*16 *6 = 48  but there are 2 ,  the front, and the back.    (2*48)=96 sq

3) pitched tops  10*8=80   but there are 2   80*2 = 160 sq

total = 1+2+3

total = 128 + 96 + 160

total surface area = 384 [tex]inchs^{2}[/tex]