Alice likes to go to Main Event to play laser tag and climb the rock wall each Saturday. Instead of purchasing the play pass, Alice pays for each activity separately.


a. This week Alice played laser tag twice and climbed the rock wall 3 times, spending $31.


b. Last week Alice played laser tag 4 times and climbed the rock wall once, spending $27.


Using the information provided, how much does Main Event charge, in dollars, to climb the rock wall?


1. $7

2. $5

3. $8

Step-by-step explanation:

[tex]y = {2.5}^{2} - 2(2.5) - 3 [/tex]

-1.75

Here we need to learn how to read a graph.

In a normal graph we have the inputs (the values of x) in the horizontal axis and the outputs in the vertical axis.

Here we want to see what is the value of y for the blue graph when x = 2.5

We will find y = -1.5

(the blue graph is the one that corresponds to: y = x^2 - 2x - 3)

To find this:

The first thing we need to do is find x = 2.5 in the horizontal axis.

Now that we found it, we need to draw a vertical line, and see at which point of the blue graph this vertical line intersects the curve. At that point we draw an horizontal line that intercepts the vertical axis.

At that point we have the y-value

You can see an example of this, a good estimation by only looking at the graph is y = -1.5

For the other point, the value of x when y = 1.

We do exactly the same thing but in the inverse order, we first find y = 1

Then we draw an horizontal line that intercepts the graph

Then we draw a vertical line that intercepts the x-axis and we find the value.

We can see that for y = 1 we have x = 3.2 aprox.

If you want to learn more you can read:

https://brainly.com/question/16781210

Answer:

D. 1,300

Step-by-step explanation:

Answer:

Do you have a picture for the problem that you want to be solved?

Answer:

(-2,-6)

Step-by-step explanation:

Answer:

6.56

Step-by-step explanation:

ratio:

if        1 : 3.28

then  2 : 5.56

double it

Answer:

6.56 feet

Step-by-step explanation:

2 x 3.28=6.56

HTH :)

Answer:

11^-2 = 0.0082644628

11^-1 = 0.0909090909

11^0 = 1

11^1 = 11

11^2 = 121

17. 30

19. 58

21. 55

23. 23

Answer:

32768 ways

Step-by-step explanation:

Given

Marbles = 8 marbles

Selection = 5 (with replacement)

Required

Determine the number of ways

Because it is a selection with replacement; each selection is as follows:

[tex]First = 8\ marbles[/tex]

[tex]Second = 8\ marbles[/tex]

[tex]Third= 8\ marbles[/tex]

[tex]Fourth = 8\ marbles[/tex]

[tex]Fifth = 8\ marbles[/tex]

Total number of ways is then calculated as:

[tex]Total = 8 * 8 * 8 * 8 * 8[/tex]

[tex]Total = 32768[/tex]

Answer:

4.155

Step-by-step explanation:

4.53-0.375=4.155

Answer:

D

Step-by-step explanation:

Answer:

has 3 sides

The formula for sum of interior angles is S = (n - 2) * 180. Therefore, 1980° = (n - 2) * 180. or, (n - 2) = 1980 / 180 = 11. or, n = 13

Step-by-step explanation:

that should be the answer

ur welcome

hope it helps

Answer:

3/8

2/3

(3/8)(3/2) = 9/16 pages/1 minute

Step-by-step explanation:

Step-by-step explanation:

x(x-2) +5(x-2)

x² -2x + 5x -10

x² + 3x - 10

Answer:

the answer is x^2 + 3x - 10 I guess!

Step-by-step explanation:

This is an algebraic equation so-

Answer:

A good chance because getting heads is most likely what you will get

Step-by-step explanation:

Answer:

The first one $1.42

Step-by-step explanation:

1.42x5=7.1 (cost of all envelopes)

12-7.1=4.9

4.9/14=0.35 (one postcard)

10 postcards= 3.5

1.42x15=21.3 (cost of all envelopes)

3.5+21.3=$24.80

Answer:

11 students

Step-by-step explanation:

In order to solve this problem, you would simply need to add the provided number of students from each school together. This would give you the total number of students from all of the aforementioned schools that have decided to enter the race.

4 + 7 = 11 students

Therefore, we can see that a total of 11 students from both schools have entered the race.

Answer:

3

Step-by-step explanation:

First, subtract 4 from both sides. When you do this, that leaves you with: 3x=9. Then, divide 9 by 3 to get x by itself. x=3

Answer:

Find out what X is (X = 3) , Multiply X times three, add your new number with 4.

3 x 3 + 4 = 13

Answer:

You have to buy more than 20 books to make Cool Cover Bookstore club a better deal.

Step-by-step explanation:

Given that:

Fee charged by Fun Reads Bookstore = $40

Charges per book = $5

Let x be the number of books.

A(x) = 5x+40

Fee charged by Cool Covers Bookstore = $100

Charges per book = $2

B(x) = 2x+100

For making Cool Cover Bookstores club a better deal,

B(x) > A(x)

2x+100 > 5x+40

2x-5x > 40-100

-3x > -60

Dividing both sides by -3

[tex]\frac{-3x}{-3}>\frac{-60}{-3}\\x>20[/tex]

Hence,

You have to buy more than 20 books to make Cool Cover Bookstore club a better deal.

Answer:

m = 3 5/18

All you need to do is rewrite the equation as 8 1/9- 4 5/6

Answer:

the answer is zero

hope this helps:)

Answer:

jsjxjxjsjdk d djdjsjjffjKns

Answer:

22

Step-by-step explanation:

22 - 19 = 3

3 times -6 = -18

Hope this helps!!

Answer:

3 < x+4

Step-by-step explanation:

The less than symbol is <

3 is less than the sum ( add) of x and 4

3 < x+4

Solving

Subtract 4 from each side

3-4 < x+4-4

-1 <x

Answer:

See explanation

Step-by-step explanation:

White light is composed of seven different wavelengths. This can easily be established by using a prism to separate the various wavelengths that constitute white light.

How come we get to tell if an object has a particular colour? We get to know colours because the observed colour of an object is the wavelength that is reflected by that object.

An object that absorbs all other wavelengths in the spectrum of white light but reflects red light will appear red to the eye.

Step-by-step explanation:

1)

[tex] \frac{ y_{2} - y_{1}}{x_1 - x_2} [/tex]

[tex] \frac{ - 15 - ( - 16)}{ - 7 - ( + 19)} [/tex]

[tex] \frac{ - 15 + 16}{ - 7 - 16} [/tex]

[tex] \frac{ + 1}{ - 23} [/tex]

[tex] - \frac{1}{23} [/tex]

2)

[tex] \frac{ - 4 - 7}{ - 6 - ( - 4)} [/tex]

[tex] \frac{ - 11}{ - 2} [/tex]

[tex] + \frac{11}{2} [/tex]

3)

[tex] \frac{16 - 8}{9 - 20}[/tex]

[tex] \frac{6}{ - 11} [/tex]

[tex] - \frac{6}{11} [/tex]

Answer:

78m.

Step-by-step explanation:

Since we are not given any dimension we can use the following dimension.

Let the park be rectangular in nature

Length = 25m

Width = 14m

Perimeter = 2(L+W)

Perimeter = 2(25 + 14)

Perimeter = 2(39)

Perimeter = 78m

Hence the perimeter of the park is 78m.

Note that the dimension were assumed and any values can be used using similar calculation.

Answer:

15. [tex] x = 8 [/tex]

16. m<V = 103°

17. [tex] x = 14 [/tex]

Step-by-step explanation:

15. The figure given is quadrilateral. Sum of interior angles of a quadrilateral = 360°

Therefore:

[tex] (10x + 6) + (13x - 2) + (8x - 1) + (180 - 71) = 360 [/tex]

Solve for x

[tex] 10x + 6 + 13x - 2 + 8x - 1 + 109 = 360 [/tex]

Add like terms

[tex] 31x + 112 = 360 [/tex]

Subtract 112 from each side

[tex] 31x = 248 [/tex]

Divide both sides by 31

[tex] x = 8 [/tex]

16. The polygon is a hexagon. Sum of interior angles of a hexagon = 720. Therefore:

[tex] 90 + (7x + 3) + 128 + (5x + 8) + 111 + (9x - 19) = 720 [/tex]

Solve for x

[tex] 90 + 7x + 3 + 128 + 5x + 8 + 111 + 9x - 19 = 720 [/tex]

Add like terms

[tex] 321 + 21x = 720 [/tex]

Subtract 321 from each side

[tex] 21x = 399 [/tex]

Divide both sides by 21

[tex] x = 19 [/tex]

m<V = 5x + 8

Plug in the value of x

m<V = 5(19) + 8 = 95 + 8

m<V = 103

17. The polygon is a regular pentagon. This means each of the angles measures 108°. The sum of the interior angles all together is 540.

Therefore:

[tex] (9x - 18) = 108 [/tex]

Solve for x

[tex] 9x - 18 = 108 [/tex]

Add 18 to both sides

[tex] 9x = 126 [/tex]

Divide both sides by 9

[tex] x = 14 [/tex]

Answer:

if she uses a 1/4 measuring cup she would need to get 14 1/4 cups of flour

Step-by-step explanation: