9. Elena is selling tickets for an amusement
park. She sells triple the number of
student tickets as adult tickets and
she sells 8 fewer senior tickets than
adult tickets
a Write expressions for the number of
adult tickets, student tickets, and
senior tickets, using a as the number of adult tickets
b. Using your answers from part b, write
a simplified expression for the total
number of tickets Elena sells
1
C. Elena sells 15 adult tickets, does
she sell at least 100 total tickets?
Show your work

Answer: 12

Step-by-step explanation:

Hey there!

100 - 100 - 10

= 0 - 10

START at 0 and go UP 10 spaces

= -10

Thus, yes it does equal to -10

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

[tex]\huge\boxed{\sf 6xy-3x^2}[/tex]

Step-by-step explanation:

Given Expression:

(x + y)² - (x - y)² + 2xy - 3x²​

Formulas used:

Expand the above expression according to the formulas

[tex]=x^2+2xy+y^2-(x^2-2xy+y^2)+2xy-3x^2\\\\= x^2+2xy+y^2-x^2+2xy-y^2+2xy-3x^2\\\\cancel \ out \ x^2 \ and \ y^2\\\\= 2xy+2xy+2xy-3x^2\\\\= 6xy-3x^2\\\\\rule[225]{225}{2}[/tex]

Answer:

8ft

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Check the picture below.

so the solid produced will be a cylinder with a hole in the middle, like you see in the picture, hmmm so we could get its volume by simply getting the outer cylinder and subtracting the inner cylinder, or we can just get the volume of the ring on the left and multiply it by its length, so let's do the that.

[tex]\textit{volume of a ring}\\\\ V=\pi (R^2-r^2)~~ \begin{cases} R=\stackrel{larger}{radius}\\ r=\stackrel{smaller}{radius}\\[-0.5em] \hrulefill\\ R=3\\ r=1 \end{cases}\implies V=\pi (3^2-1^2)\implies V=8\pi \\\\\\ \stackrel{\textit{\large volume of the hollow cylinder}}{\stackrel{\textit{volume of the ring}}{(8\pi )}\qquad \stackrel{length}{(6)}\implies 48\pi ~~\approx~~150.80}[/tex]

Answer:

23

Step-by-step explanation:

Set Thomas' age to be variable x.

Since Huilan is 3 times the age of Thomas, he is 3x.

3x + x = 92 (The sum of their age)

4x = 92

4x/4 = 92/4   (Isolate x)

x = 23

Extra information: Huilan is 69 because 23 x 3 = 69

Answer:

230

Step-by-step explanation:

SA=2(lw+hw+lh), where

l=length

h=height

w=width

2(5*5+9*5+5*9) = 230

Answer:

A  $12.84

Step-by-step explanation:

Sweater was originally $48.00 before tax.  $48.00 x 7% tax rate (.07) = $3.36 in tax

So the sweater originally would've cost $48.00 + $3.36 = $51.36

The sale price was 25% off the $48.00.  $48.00 x 25% (.25) = $12.00

Then you subtract the $12.00 from the $48.00 to get the new price of $36.00

Now that's before tax, so $36.00 x 7% tax rate (.07) = $2.52 in tax

So the sweater would cost on sale $36.00 + $2.52 = $38.52

To figure out how much she would've saved you subtract the sale price & tax from the original price & tax $51.36 - $38.52 = $12.84

Answer: A' (1, 5)

B' (-3, 5)

C' (-3, 2)

D' (1, 2)

Step-by-step explanation:

To reflect across the y-axis the original point (x, y) must become (-x, y) which is essentially taking the opposite of x

We can do that with each of the point of the rectangle ABCD to make the reflect rectangle A'B'C'D'

A (-1, 5) to A' (1, 5)

B (3, 5) to B' (-3, 5)

C (3, 2) to C' (-3, 2)

D (-1, 2) to D' (1, 2)

Answer:

x≤5

Step-by-step explanation:

When multiplying an inequality by a negative number, make sure to reverse the inequality signs. If -x has to be greater or equal to -5, then x has to be lesser or equal to 5

Answer:

See answers below

Step-by-step explanation:

Entire outer circle area = pi r^2   = pi 18^2 =  324 pi cm^2

   if you subtract the small unshaded circle you get 299 pi

    324 pi  - smaller circle = 299 pi

      smaller circle = 25 pi  cm^2

Answer:

68

Step-by-step explanation:

Khan

Answer:

9

Step-by-step explanation:

3/4=0.75

1/12=0.0833333333

(3/4)/(1/12)=9

The equation that represents the relationship between the x values and the y values in Isabel's table is y = 5/4 x - 11.5

Linear functions are functions that have a leading degree of 1. The linear equation is expressed as:

y = mx + b

where:

m is the slope

b is the y-intercept

Using the coordinate points (2, 14) and (6, 19)

Determine the slope

Slope = 19-14/6-2
Slope = 5/4

For the y-intercept

14 = 5/4(2) + b
14 = 2.5 + b
b = 11.5

Determinethe required linear equations

y = 5/4 x + 11.5

Learn more on linear equation here https://brainly.com/question/1884491

Answer:

Below in bold.

Step-by-step explanation:

We find fg(x) by replacing the x in f(x) by g(x), so:

fg(x) = (4x - 2a)^2 + 4a(4x - 2a) + a^2

fg(3) = 89 so:

(4(3) - 2a)^2 + 4a(4(3) - 2a) + a^2 = 69

(12 - 2a)^2 + 48a - 8a^2 + a^2 - 69 = 0

144 - 48a + 4a^2 + 48a - 8a^2 + a^2 - 69 = 0

-3a^2  + 75 = 0

-3a^2  = -75

a^2 = 25

a = 5.

Now g(x) = 4x - 2(5) = 4x - 10.

Finding g-1(x);

4x = g(x) + 10

x = (g(x) + 10)/4

So g-1(x) = (x + 10)/4

When g-1(x)= x

x = (x +10)/4

4x = x + 10

3x = 10

x = 10/3.

Answer:

42

Step-by-step explanation:

6 x 6 is 36. 3 x 2 is 6. 36 + 6 is 42.

The quadratic equation –x2+3x+c =0 does not have any real solution for c<-9/4.

The given quadratic equation is:

[tex]-x^{2} +3x+c=0[/tex]

Any equation is called a quadratic equation if it has a form [tex]ax^{2} +bx+c=0[/tex] and a≠0.

For no real solution, the discriminant of a quadratic equation should be less than zero.

[tex]D < 0[/tex]

[tex]3^{2} -4(-1)(c) < 0[/tex]

[tex]9+4c < 0[/tex]

[tex]c < \frac{-9}{4}[/tex]

The quadratic equation –x2+3x+c =0 does not have any real solution for c<-9/4.

To get more about quadratic equations visit:

brainly.com/question/1214333

Answer:

–5 and -9/2 or the first and second options

Answer:

Angle x measures 33.5 degrees.

Step-by-step explanation:

From the given picture, we can note that angle x and the angle of 23 degrees are vertical opposite angles,

Since lines l and m are perperdicular then the angle between then measures 90 degrees, so we have:

[tex]x+23+x=90[/tex]

By collecting similar terms the equation which represents a relation between these angles is:

[tex]2x+23=90[/tex]

Now, by subtracting 23 to both sides, we obtain:

[tex]2x=90-23\\2x=67[/tex]

and by dividing both sides by 2, we get

[tex]x=\frac{67}{2}[/tex]

[tex]x=33.5\\[/tex]

Then angle x measures 33.5 degrees.

We will see that the surface area of the triangular pyramid is equal to 170.1 yd^2

Remember that the area of a triangle is equal to:

A = (1/2)*b*h

Where b is the base, and h is the height.

On the triangular pyramid, we have 3 faces with a base of 9 yards and a height of 10 yd, so the area of these 3 faces is:

A  = (1/2)*(10 yd)*(9 yd) = 45 yd^2

Also, we can see that the bottom face has a base of 9 yards and a height of 7.8 yards, then its area is:

A' = (1/2)*(9 yd)*(7.8 yd) = 35.1 yd^2

So the total surface area of the pyramid is:

S = 3*A + A' = 3*45 yd^2 + 35.1 yd^2 = 170.1 yd^2

If you want to learn more about pyramids, you can read:

https://brainly.com/question/10042135

Answer:

15

Step-by-step explanation:

Diagram would be helpful.... I am assuming this is a right triangle with legs ratio 3:4

Answer: I am not really sure but I think its c

Step-by-step explanation:

we can simply get the area of the whole rectangle, that is, the rectangle including the triangle in it, and then get the area of the triangle and subtract it from that of the rectangle, what's leftover, is the part we did not subtract, namely the shaded region.

[tex]\stackrel{\textit{\Large Areas}}{\stackrel{rectangle}{(5)(11)}~~ - ~~\stackrel{triangle}{\cfrac{1}{2}(\stackrel{b}{5})(\stackrel{h}{3})}}\implies 55~~ - ~~\cfrac{15}{2}\implies \cfrac{95}{2}\implies 47.5[/tex]

Answer:

C

Step-by-step explanation:

"Diego paid $27 to have 3 pizzas delivered and $35 to have 4 pizzas delivered. What is the price of one pizza? "

Hope this helps :)

Answer:

[tex] \frac{3}{4} [/tex]

Step-by-step explanation:

[tex] \frac{1}{4} + \frac{1}{2} \: \: lcm \: of \: 4 \: an d \: 2 \: is \: 4 \ \\ = \frac{1 + 2}{4} = \frac{3}{4} [/tex]

Step-by-step explanation:

2 pi r = 34.6

2 r = 34.6/3.14

d = 11 m

Diameter be d

Answer:

301+

Step-by-step explanation:

The answer can be anything above 300. This means the answer could be 301, or 400, or 350000000000, any of those are correct.

Answer:

x^1/8 y^8

Step-by-step explanation:

=   x^(1/4 * 1/2) y^(16 * 1/2)   =

Answer:1/8

Step-by-step explanation:

well the total amount you have of cards is 36 so you will have 4/36 now you just need to reduce and you will get 1/8

[tex]\frac{7+\sqrt{13}}{6}[/tex]  is the answer

Step-by-step explanation: