A theme park charges a flat fee of $500 for group bookings of more than 25 tickets, plus $20 per ticket for up to 100 tickets and $17 per ticket thereafter. If x represents the number of tickets sold under the group booking option, complete the limit equation that represents the average cost per ticket

Answer:

tan T = 3/4

tan U = 4/3

Step-by-step explanation:

The tangent ratio is opposite / adjacent. The ratio will vary for each angle since the perspective of each angle will be different. For example Angle T has an adjacent side of 4 while Angle U has an adjacent side of 3. The tangent ratios for Angles U and T are listed below:

tan T = 3/4

tan U = 4/3

Answer:

Step-by-step explanation:

tan(T) = 3/4

tan(U) = 4/3

tan(V) = 5/4

Answer:

the volume of the larger pyramid = 175.5 inches³

Step-by-step explanation:

* Lets revise the similar

- If two solids are similar,then the ratio between each two

 corresponding dimensions are qual

- Their perimeters have the same ratio

- Their areas have the square of the equal ratio

- Their volumes have the cube of the equal ratio

* Lets solve the problem

- The two triangular pyramids are similar

- The perimeter of the base of the small one = 14 inches

- The perimeter of the base of the big one = 21 inches

∴ The ratio of the similarity = 14/21 = 2/3

∴ The ratio between their volumes is (2/3)³ = 8/27

∵ The volume of the small one = 52 inches³

- W will us the cub of the ratio to find the larger volume

∴ 52/V = 8/27 ⇒ by using the cross multiplication

∴ 52 × 27 = 8 × V

∴ 1404 = 8V ⇒ divide both sides by 8

∴ V = 175.5 inches³

Answer:

175.5 on edge

Step-by-step explanation:

hope it helps

Answer:

20%

Step-by-step explanation:

The elements or numbers are 1,2,3,4....20

And the probability you looking for is 4 and 8...thus only two elements... Counting them individually out of the total elements... Hence this gives... 2/20=1/10

Answer:

The triangle is not a right triangle

[tex](\theta)[/tex] is an acute angle

[tex]cos(\theta) > 0[/tex]

Step-by-step explanation:

we know that

If a²+b²>c²

then

Is an acute triangle

therefore

angle theta must be less than 90 degrees

Hence

The triangle is not a right triangle

[tex]cos(\theta) > 0[/tex]

[tex](\theta)[/tex] ---> is an acute angle

Answer:

26/16, 39/24, 52/32

Step-by-step explanation:

Answer: can you give me answer choises so i can answer?

Answer:

The answer..,

Step-by-step explanation:

Let me know if you wanted the steps (:

ANSWER

[tex] \frac{ - 3 {x}^{3} - 2 {x}^{2} - x - 2}{x - 2} = - 3 {x}^{2} - 8x - 17 - \frac{36}{x - 2} [/tex]

EXPLANATION

We want to divide

[tex] - 3 {x}^{3} - 2 {x}^{2} - x - 2[/tex]

by

[tex]x - 2[/tex]

We perform synthetic division to obtain:

The remainder to be -36.

The quotient is

[tex] - 3 {x}^{2} - 8x - 17[/tex]

Therefore,

[tex] \frac{ - 3 {x}^{3} - 2 {x}^{2} - x - 2}{x - 2} = - 3 {x}^{2} - 8x - 17 - \frac{36}{x - 2} [/tex]

Answer:

60

Step-by-step explanation:

15+45-180

120-180

60

Side 3=60

Answer:

120

Step-by-step explanation:

15+45=60

180-60=120

Answer:

15/28

Step-by-step explanation:

2/7 plus 1/4 plus 26 is 15/28

Answer:

Total number of eggs in basket = 56

Step-by-step explanation:

Let z be the total number of eggs

Green eggs = [tex]\frac{2}{7}[/tex] × z   ........1

Blue eggs =  [tex]\frac{1}{4}[/tex] × z    .......2

Rest of eggs = 26  ........3

The addition of 1, 2 and 3 is equal to z  

[tex]\frac{2}{7}[/tex] × z + [tex]\frac{1}{4}[/tex] + 26 = z

[tex]\frac{8z + 7 z}{28}[/tex] + 26 = z                        ∵GCF for 4 and 7 is 28  

[tex]\frac{15z}{28}[/tex]  + 26 = z

15z + (26 × 28) = 28z                ∵ multiply both sides by 28

15z + 728 = 28z

28z - 15z = 728     .......... rearranging above equation

13z = 728  ⇒   z = [tex]\frac{728}{13}[/tex]   ⇒  z = 56

Total number of eggs = z = 56

Answer:

B. 84%

Step-by-step explanation:

Given

Mean= π=75

Standard Deviation= σ=5

As we have to calculate the percentage of score less than 80, we will find the z-score of 80

z=(x-μ)/σ

=  (80-75)/5

=5/5

=1

The z-score table value for 1 is 0.8413.

For converting this value into percentage, the value will be multiplied by 100.

So,

Percentage of students whose score is less than 80 = 0.8413*100

=84.13%

Rounding off gives us : 84%

So option B is the correct answer..

Answer:

  =234 mm^2

Step-by-step explanation:

The surface area of a rectangular prism is given by

SA = 2 (lw +lh +hw)  where l is the length, w is the width and h is the height

SA = 2 ( 15*3 + 15*4 + 3*4)

     = 2( 45+60+12)

    = 2(117)

    =234 mm^2

Answer:

(statements listed below are correct)

Step-by-step explanation:

The correct statements are Option(A), Option(C) and Option(F).

A mathematical statement that consists of an equal symbol between two algebraic expressions with the same value is known as an equation.

Let the number be = S

When it is increased by 26 it becomes 42

S + 26 = 42( Option(A) and Option(C))

Subtract 26 from both the sides (Option(F))

S + 26 - 26 = 42 - 26

S = 16

Hence, it is proved that Option(A), Option(C) and Option(F) are correct.

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I would say B and D are correct.

Check the picture below.

[tex]\bf \textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} a,b=\stackrel{bases}{parallel~sides}\\ h=height\\ \cline{1-1} a=0.5\\ b=1.3\\ h=\frac{1.1}{\sqrt{2}} \end{cases}\implies A=\cfrac{\frac{1.1}{\sqrt{2}}(0.5+1.3)}{2} \\\\\\ A=\cfrac{~~\frac{1.1(1.8)}{\sqrt{2}}~~}{\frac{2}{1}}\implies A=\cfrac{1.98}{2\sqrt{2}}\implies A=\cfrac{0.99}{\sqrt{2}}\implies A\approx 0.7[/tex]

No problem.

The answer is 31x.

Hope this helped

6x^2+2x-7 is the answer to that problem

The answer is 74 square units so B

Hope this helps you

Have a great day

☆ Dont forget to mark brainliest ☆

Answer:

EBCD=55.5 square units

Step-by-step explanation:

Since EBCD is a trapezoid you would plug in the lengths of the sides into the formula. First I will give you the side lengths.

BC=√37

EB=√37

CD=√74

ED=2√37

To solve for the area of EBCD we have to plug the numbers into the trapezoid formula 2√37+√37 divided by 2 times √37 =111/2 which that equals 55.5 square units.

I also know this is correct because I just took the assignment myself.

Answer:

The statements that are necessary when proving that the opposite angles of a parallelogram are congruent are:

B. Opposite sides are congruent - This has to be true as opposite sides should be similar.

C. Angle Addition Postulate.  It states that if a point lies on the interior of an angle, that angle is the sum of two smaller angles with legs that go through the given point.

The options that are necessary when proving that the opposite angles of a parallelogram are congruent are:

A parallelogram is known to be a quadrilateral tat is said to have two pairs of parallel sides.

Note that triangles ΔABD and ΔCDB are said to be congruent due to the fact that the angle-side-angle are congruent. parallelogram  is said to have opposite sides are congruent sue to the fact that they have opposite sides that are similar.

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Answer:

52%

Step-by-step explanation:

We are told that, of all customers 65% buy a burger. This would imply that the proportion of customers who buy a burger is 0.65.

Moreover, if a customer buys a burger, the probability they buy french fries is 0.80. This implies that the proportion of customers who buy fries given that they bought a burger is 0.8.

Therefore, the proportion of customers who get a burger and fries is simply the product of the two probabilities;

= 0.65*0.8

= 0.52

Therefore, 52% of all customers get a burger and fries

Answer:

y = 48/x

Step-by-step explanation:

"Inverse variation" means y is proportional to the inverse of x. If the constant of proportionality is represented by k, then ...

y = k/x

Multiplying by x, we find k to be ...

xy = k

So, the given values tell us k is ...

8·6 = k = 48

and the desired equation is ...

y = 48/x

Answer:

i think y = 48/x

Step-by-step explanation:

What’s your question

The plate consists of 70 (7*10) squares with dimensions 1x1 square mm. Let [tex]w[/tex] be the number of white squares and [tex]b[/tex] the number of black squares. Then

[tex]b+w=70[/tex]

We're told there are 2 more black squares than white, so

[tex]b=2+w[/tex]

Then

[tex](2+w)+w=2+2w=70\implies1+w=35\implies w=34[/tex]

so there are 34 white squares and 36 black squares. The probability that Crystal is looking at a white square is

[tex]\dfrac{34}{70}=\dfrac{17}{35}[/tex]

Answer:-Steps-

1.)Divide 18 by 2

(18/2=9)

2.)Divide 24 by 2

(24/2=12)

3.)Multiply 18 and 3

(18 x 3 = 54)

4.)Multiply 24 and 3

(24 x 3 = 72)

5.) Now multiply 54 and 72

(54 x 72 = 3888)

The answer is 3888 feet or 118056 centimeters.

Step-by-step explanation:

The actual area of the playground is determined by converting the scale drawing dimensions to real-life measurements using the provided scale, resulting in a playground area of 972 square feet.

Justin has created a scale drawing of a playground using the scale 2 inches: 3 feet. To find the actual area of the playground, we first convert the dimensions of the drawing to real-life dimensions. The scale factor is found by dividing the scale's drawing unit by the real unit. This gives us a factor of 1 inch being equivalent to 1.5 feet since 2 inches represent 3 feet (2 inches / 3 feet = 1 inch / 1.5 feet).

The drawing dimensions are 18 inches by 24 inches. We multiply each dimension by our conversion factor (1.5 feet per inch) to get the real-life measurements:

To find the actual area, we multiply the length by the width:

Area = length * width = 27 feet * 36 feet = 972 square feet

The actual area of the playground is 972 square feet.

Answer:

2/f is the correct answer.

The value of f^-1(2) refers to the value of x in the original function f(x) that corresponds to f(x) = 2. Essentially, it is asking what value of x, when substituted into the original function, would provide an answer of 2.

The value of f^-1(2) is the pre-image, or the value of the variable x in the original function f(x), that corresponds to f(x) = 2 in the original function. An inverse function undoes the operation of the original function. For instance, if you have a function f(x) = y, the inverse function, denoted f^-1, would give you back x when you input y. Therefore, f^-1(2) asks for the value of x that would result in f(x) = 2 in the original function.

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Answer:

Step-by-step explanation:

[tex]Q1:\\8-5(3x-7)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\=8-(5)(3x)+(-5)(-7)=8-15x+35=-15x+(8+35)\\=\boxed{-15x+43}[/tex]

[tex]Q2:\\6(2x+3)-4(5x+2)\qquad\text{use the distributive property}\\\\=(6)(2x)+(6)(3)+(-4)(5x)+(-4)(2)=12x+18-20x-8\\\\\text{combine like terms}\\\\=(12x-20x)+(18-8)=\boxed{-8x+10}[/tex]

[tex]Q3.\\4(x+5)+4x+8\qquad\text{use the distributive property}\\\\=(4)(x)+(4)(5)+4x+8=4x+20+4x+8\\\\\text{combine like terms}\\\\=(4x+4x)+(20+8)=\boxed{8x+28}=(4)(2x)+(4)(7)=\boxed{4(2x+7)}[/tex]

Answer:

The distance between the two airplanes (to the nearest mile) is 1058 miles.

Step-by-step explanation:

An airplane A is at a location 800 miles due west of city X. So AX = 800 miles.

Another airplane is at a distance of 1,200 miles southwest of city X. So BX = 1200 miles.

The angle at city X created by the paths of the two planes moving away from city X measures 60°. So angle ∠AXB = 60°.

In triangle ΔAXB, AX = 800 miles, BX = 1200 miles, ∠AXB = 60°.

Using law of cosines:-

AB² = AX² + BX² - 2 * AX * BX * cos(∠AXB).

AB² = 800² + 1200² - 2 * 800 * 1200 * cos(60°).

AB² = 640000 + 1440000 - 2 * 960000 * 1/2

AB² = 2080000 - 960000

AB² = 1120000

AB = √(1120000) = 1058.300524

Hence, the distance between the two airplanes (to the nearest mile) is 1058 miles.

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____________________________________________________

Answer:

Your answer would be $255

____________________________________________________

Step-by-step explanation:

To solve these kind of problems, what we have to do is find how much of 340 is 25%, and then subtract that number to the original price.

Let's give you some important information in the text:

With the information above, we can solve our problem.

First, we would need to find how much of 340 is 25%, and to do that, we would multiply 340 by 0.25:

[tex]340*0.25 = 85[/tex]

When you solve, you should get 85. But, you're not done yet, we need to find out how much the sales price is, not how much of it is discounted.

In order to find the sales price, we would get our original number (the number it originally cost), and subtract it with the amount of money it's removing (85).

In this case, we would subtract 340 by 85.

[tex]340-85=255[/tex]

Your FINAL answer should be 255

The sales price of the laptop would be $255.

____________________________________________________

ANSWER

[tex](f-g)(x) = 11 |x| - 32[/tex]

EXPLANATION

The functions are:

[tex]f(x) = 10 |x| + 26[/tex]

[tex]g(x) = 58 - |x| [/tex]

[tex](f-g)(x) = f(x) - g(x)[/tex]

Plug in the functions:

[tex](f-g)(x) = 10 |x| + 26 - (58 - |x| )[/tex]

[tex](f-g)(x) = 10 |x| + 26 - 58 + |x| [/tex]

[tex](f-g)(x) = 10 |x| + |x| + 26 - 58[/tex]

[tex](f-g)(x) = 11 |x| - 32[/tex]

The correct choice is A

Answer:

11|x|-32 hope this helps :D

Step-by-step explanation:

10|x|+26-(58-|x|)

10|x|+26-58+|x|

10|x|+|x|+26-58

11|x|-32

i think this is the answer

Step-by-step explanation: So i think the answer is 2 : 3 and another one is

3 to 2

Check the picture below.

recall that negative angles go "clockwise".

Answer:

57.2 minutes

Step-by-step explanation:

One way in which to solve this problem is to write and solve an equation of ratios:

 6.5 mi        x

------------ = -----------

 10 mi        88 min

Cross-multiplying, we get:

10x = 572

Then x = 57.2 minutes (to run this 6.5 mile race)

B negative linear association

Answer:

31

Step-by-step explanation:

Answer:

135

Step-by-step explanation:

you multiply 5 times 27 equals 135