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

Answers

Answer 1

Answer:

1. $7 for climbing the rock

Step-by-step explanation:

x is the number of laser tags

y is the number of times climbed the rock

a. 2x + 3y = 31

b. 4x + y  =27

lets find y

Step 1

4x + y = 27

y = 27 -4x

step 2

replace y with 27 - 4x in the a.

2x + 3( 27 - 4x) = 31

2x + 81 - 12x = 31

2x -12x = 31 -81

x = 5

y = 27 - 4(5)

y = 7


Related Questions

Can anybody answer these 2 please hurry

Answers

Answer:

the first one is b= 52

the second one is b= 63

okay I need an answer to this from scale through 1 to 10 how much naughtier can my cat be like I need some good answers​

Answers

Answer:

Wow your cat is so naughty but cute. On a scale from one to 10 I say 10

Step-by-step explanation:

This is why I dont have pets

CAN SOMEONE HELP ME WITH THIS IXL ITS P.7 EIGHTH GRADE!!!!

Answers

it’s basically tell you to bring it down by 10 so it’s (5,-6)

There are 130 people in a sport centre.

61 people use the gym.

68 people use the swimming pool.

60 people use the track.

25 people use the gym and the pool.

30 people use the pool and the track.

19 people use the gym and the track.

6 people use all three facilities.

Given that a randomly selected person uses the gym and the track, what is the probability they do not use the swimming pool?

Answers

Answer:

13 / 19

Step-by-step explanation:

Given that :

U = 130

Let :

s = swimming pool

t = track

g = gym

n(g) = 61 ; n(s) = 68 ; n(t) = 60

n(g n s) = 25 ; n(t n s) = 30 ; n(g n t) = 19

n(g n s n t) = 6

n(g n t) only = n(g n t) - n(g n s n t) = 19 - 6 = 13

Hence, probability that a randomly scted person uses the gym and track and does not use the swimming pool = n(g n t) only ÷ n(g n t)

= 13 / 19

= 13 / 19

There are 12 teams in the Jayhook Hockey League. Each team plays every other team twice per season, once at home and once away from home. Last season 34 of the matches played resulted in a tie. Of the others, 18 more were won by the home team than by the away team. 1: How many games did any one particular team play?

Answers

Answer:

Each team played 22 games.

Step-by-step explanation:

There are 12 teams in the league, so each team has 11 rival teams. Since each team will play against a rival team twice, that means that each team will need to play 11 x 2 = 22 games per season. Of these 22 games, 11 games will be played at home while 11 games will be played away from home.

We can calculate this by using the following formula:

Total number of games played by each team = (n - 1) x 2, where n is the total number of teams in a league.

Lulu tells her little brother, Jack, that she is holding 20 coins, all of which are either dimes or quarters. They have a value of $4.10. She says she will give him the coins if he can tell her how many of each she is holding. Solve this problem for Jack." How many dimes and quarters in Lulu holding? Enter your final answer in the space below. Please make sure you write your interpretation in a complete sentence

Answers

Given :

Lulu tells her little brother, Jack, that she is holding 20 coins, all of which are either dimes or quarters.

They have a value of $4.10. She says she will give him the coins if he can tell her how many of each she is holding.

To Find :

How many dimes and quarters in Lulu holding?

Solution :

4.10 dollar = 410 cents

Let, number of dimes and quarter are x and y.

So, x + y = 20    ...1)

Also, 10x + 25y = 410    ...2)  

Putting value of 1) in equation 2), we get :

10x + 25( 20 - x ) = 410

10x + 500 - 25x = 410

15x = 90

x = 6

y = 14

Therefore, number of dimes and quarters are 6 and 14 respectively.

Hence, this is the required solution.


In this question, all lengths are in centimetres.
Given
AB: AC = 1:2
AB= 3x-4
AC= 2x + 12
show that
AC: BC = 2:3
BС= 7X-2

Answers

Answer:

Step-by-step explanation:

AB/AC =1/2

(3x-4)/(2x+12)=1/2

2(3x-4) = 1(2x+12)

6x-8=2x+12

4x=20

X=5

AC/BC =3x-4/7x-2=22/33=2/3

AB/AC=3x-4/7x-2=22/33=2/3

AB/AC=3x-4/2x+12

6x-8=2x+12

You would get 4/5 still trying to work out the last mark

Step-by-step explanation:

First find x:

AB:AC=1:2

2(3x-4)=2x+12

6x-8=2x+12

4x-8=12

4x=20

x=5

Substitute:

AC=2x+12

=(2x5)+12

=10+12

=22

BC=7x-2

=(7x5)-2

=35-2

=33

22/33=2/3

Therefore AC:BC = 2:3

y + 12.5 = 21.7, y =

Answers

Answer:

y = 9.2

Step-by-step explanation:

21.7 - 12.5 = 9.2

Answer:

y = 9.2

Step-by-step explanation:

1 Which expression is equivalent to 1/3y?
A 1/3(y+12)-12
B 1/6y+1/3(y+3)
C 1/6y+1/6(y+12)-2
D 1/3y+1/3(6-y)​

Answers

Answer:

D is your answer HOPE THIS HELPS THANK ME PLEASE

Step-by-step explanation:

Find the slope of the line that passes through (8,6) and (4,15)

Answers

Is the line positive or negative

Amanda is practicing her dives off the diving board. When she dives into the water, the path her body makes and where she resurfaces can be modeled by the equation 0=2−8+7 where is the number of horizontal feet she travels. Solve the equation to find the number of feet she will travel before coming back to the surface of the water.

Answers

Answer:

The number of feet she will travel back is 1 or 7 feet

Step-by-step explanation:

Here, we need to solve the quadratic equation

That will be as follows;

0 = x^2 -8x + 7

x^2-x-7x+ 7 = 0

x(x-1)-7(x-1) = 0

(x-1)(x-7) = 0

x = 1 or 7

The number of feet she will travel before coming back to the surface of the water is 1 or 7 feet

$2,300 invested at 7.5% for 10 years. In simple interest

Answers

Answer:

here's the answers............

PLEASE HELO ME I NEED HDLP PLEASE

Answers

Answer:

what's that 120 which angle is that

Step-by-step explanation:

Triangle AGB has Angle AGB = 120° and AG = GB. (given)

Since it is isosceles, x = (180° - 120°)/2 = 30°.

Solve the equation for y
- 5x + 2y = 1

Answers

Answer:

14x+37=4x

Step-by-step explanation:

Jordan is running a race that is 13 miles long. From his training, he knows that it takes him 72 minutes for every 12 miles he runs and he runs each mile in the same amount of time.

How long will it take for Jordan to run the 13th mile in the race (assuming he runs at the same speed as the first 12 miles)?

Answers

Answer:

78 minutes

Step-by-step explanation:

72/12=6

6*13=78

Which expression is equal to
-18b^-4

Answers

Answer:

[tex] - \frac{18}{ {b}^{4} } [/tex]

Step-by-step explanation:

[tex] - 18b {}^{ - 4} [/tex]

express b^-4 with a positive exponent using:

[tex]a {}^{ - n} = \frac{1}{ {a}^{n} } [/tex]

[tex] - 18 \frac{1}{ {b}^{4} } [/tex]

[tex] - \frac{18}{ {b}^{4} } [/tex]

How many solutions does the system have?
2x+3y=−6
3x−4y=−12

Answers

9514 1404 393

Answer:

  1 solution

Step-by-step explanation:

The ratios of x- and y-coefficients are different, so the lines have different slopes. Lines with different slopes intersect at exactly one point. That point is the solution to the system of equations.

There is exactly one solution.

Please help me!! I’m so confused

Answers

Answer:

X = 24

Step-by-step explanation:

Just apply H² = B² + P²

(26)² = (10)² + P²

676 = 100 = P²

676 - 100 = P²

P² = 576

P = √576

P = 24

P = X

Hope this helps you.

First you add the two numbers that you see 26 + 10=36 now subtract by 90, 90-36=54

what is the correct answer to 4x1 3/8

Answers

Answer:

3/2

Step-by-step explanation:

That's the answer mark me brainliest Please

Answer:

Step-by-step explanation:

4*1 3/8=

4/1 * 11/8=

11/2 or 5 1/2

Help me with this plz

Answers

Answer:

0.000032, 0.0000064

Step-by-step explanation:

Each is divided by 5

Answer:

0.00032 and 0.00064

Step-by-step explanation:

Think, each is divided by 5!

0.1, 0.02, 0.0004, 0.00008, 0.00016, 0.00032, 0.00064.

Posted By:

ehie, BenjiDev#3339

help pls lol ✋
i literally do not get this at all and i’m typing this cause apparently i need 20 words which is dumb but yeah okay bye

Answers

Triangle ABC equals triangle WXY

Why do scientists use models?
A)
Models are unreliable.
B)
Models waste natural resources.
Models predict not just describe events.
Models are based on scientific laws and principals so they are more
reliable than the real thing.
D)

Answers

The correct answer is A

is -4x-8=4x+8 one solution no solution or many solutions

Answers

one solution

-8x=-16
x=-2

Answer:

One solution.

Step-by-step explanation:

This question has different coefficients so it has one solution.

What percent of the rectangle below is shaded (hint think about the fraction or ratio of
shaded to total)?
33%
40%
67%
25%

Answers

it is 33% i believe (it won’t let me send right so here’s some random words because it has to be 20 characters long)
the answer is a. 33%

HELP WILL MARK BRAINLIEST

Answers

Answer:

The answer is D: y = -2x + 6

Step-by-step explanation:

the y-intercept is 6, and the slope goes down 2 and right 1. -2/1 is the same as -2.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

3w-5>2w+-7 and 6(c+3) 2+-3

Answers

Answer:

w>−2 and 12c+33

Step-by-step explanation:

Answer:

&&&&

Step-by-step explanation:

Sorry, Don't know buddy

cassandra has a loan of 35,720.This loan has a simple intrest rate of 4% per year.What is the amount of intrest will pay on this loan at the end of 2 year? PLEASE DONT JOKE AROUND THIS IS MY TEST.

A. 2,857.60

B. 38,577.60

C. 1,428.80

D. 5,715.20

Answers

Answer:

$2857.60 because when yu multiply the loan times the % yu get 1428.80 because it’s the end of 1 year and the question is asking for the end of 2 years so yu have to double it.

Step-by-step explanation:

Mildred has a bag of coins. The bag contains 10 dimes, 5 nickels, and 1 penny. She will randomly select 2 coins from the bag one at a time without replacement. What is the probability that Mildred will select a dime first and then a penny?

Answers

Answer:

Total possibilities = 16

Probability of a dime of the first draw is 10/16 = 5/8

Probability of a penny on the second draw = 1/15

Probability of both = 5/8 * 1/15 = 1/24

A student always spends Thanksgiving with their family, who lives 99 miles away from their home in Houston. If it took them 9 hours to get there, what was their average speed for the trip?

Answers

the average speed for the trip is 11 miles per hour, or mph. 99 miles divided by 9 is 11

HELP. car takes 10 hour and 30 minutes from A to B point. how many hours will it take for car if it's speed increases 1.2 times?
(distance doesn't change)

Answers

9514 1404 393

Answer:

  8 3/4 hours

Step-by-step explanation:

Time is inversely proportional to speed for the same distance. The time for 1.2 times the speed will be 1/1.2 times the given time:

  (10.5 h)/1.2 = 8.75 h

It will take 8.75 hours at the increased speed.

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