Two families go skiing on a Saturday. Together, they spend $95 on pizza at a local restaurant and $65.73 for breakfast. One family purchases two adult lift tickets and four youth lift tickets for $166. Another family purchases four adult lift tickets and five youth lift tickets for $263. How much would it cost two adults and five kids to ski for a day?

Answers

Answer 1

Answer:

$189

Step-by-step explanation:

We can create a system of equations to solve this equation. They are as follows:

[tex]2A + 4Y = 166\\4A + 5Y = 263[/tex]

In this case, I used "A" to represent adult lift tickets and "Y" to represent youth lift tickets.

We need to get one of the variable (A or Y) by itself in one of the equations. I am going to use the first equation.

[tex]2A = -4Y + 166\\A = -\frac{4}{2}Y + \frac{166}{2} \\A = -2Y + 83[/tex]

Now that we have A by itself we can plug it into the second equation.

[tex]4(-2Y + 83) + 5Y = 263\\-8Y + 332 + 5y = 263\\-3Y + 332 = 263\\-3Y = -69\\Y = 23[/tex]

We have found Y now lets plug it back into the first equation to find the value of A.

[tex]2A + 4(23) = 166\\2A + 92 = 166\\2A = 74\\A = 37[/tex]

Let's check our variables by plugging them both in to the second equation.

[tex]4(37) + 5(23) = 263\\148 + 115 = 263\\263 = 263[/tex]

Lastly, we can find out how much it would cost 2 adults and 5 kids to ski for a day, using this equation:

[tex]2A + 5Y = ?\\\\2(37) + 5(23) = ?\\\\74 + 115 = 189\\[/tex]

Therefore, 2 adult tickets and 5 kid tickets would cost $189.

Hope this helps!!

- Kay :)

If you have any questions feel free to ask!


Related Questions

Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

QN = 17

JQ = 2*QN

JQ = 2* 17

JQ = 34

Find the slope of the line 0,-19 20,15

Answers

the slope is 1 and 7/10

5{ 10 [6 + 9 ( 57 - 48 ) + 12]}​

Answers

Answer:

230

Step-by-step explanation:

The answer is 4959
Following pemdas you do everything in the parentheses first and work outwards into the other parentheses
57-48=9
9x9= 81
6+81+12= 99
10(99)=990
5(990)= 4950

has a business selling perfume at the mall. Currently his business has a
balance of -$20.
Which amounts of sales would give Mason's business a positive balance?
Choose ALL that apply.
$29
$19
$21
$30
$35
$15

Answers

Answer:

$29, $21, $30, $35

Step-by-step explanation:

the amounts had to be larger than $20 because he owes money and needs more inorder to have gained money

What is 5(pi) /6 radians converted to degrees? If necessary, round your answer to the nearest degree

ANSWER IS 150 DEGREES

Answers

Answer:

C

Step-by-step explanation:

By converting radians 5π /6 into a degree, we get the nearest degree 150.

How to convert radians into a degree?

We can convert radians into a degree by using the formula

Degree = Radians x (180°) / π

To 5π /6 convert radians into a degree,

Degree = Radians x (180°) / π

Degree =  5π /6 x (180°) / π

             = 5 /6 x  (180°)

             = 150°

Learn more about Degree;

https://brainly.com/question/364572


These questions are the worst

Answers

Answer:

yes.. i HATE them!!

ur answer is: either C or D

(not sure..)

HELPPPPPPPPPPPPPPPPP

Answers

Answer: We can't see the picture

Step-by-step explanation:

apple's cost 3.60 for 3 pound how much pounds for 8.40$​

Answers

Answer:

7 pounds.

Step-by-step explanation:

3.60 for 3 pounds

1.20 per pound.

8.40/1.20 = 7 pounds

8(4x+6) -58 = 2(7x+31) helpppppppppppppppp

Answers

Step-by-step explanation:

8(4x+6) -58 = 2(7x+31)

32x + 48 - 58 = 14x + 62

32x -10 = 14x +62

32x - 14x = 62+10

18 x = 72

x = 72 /18

x = 4

plz mark my answer as brainlist plzzzz vote me also so ....plzzzz

- 6x+5
A. (x + 5)(-1)
B. (x-4)(x-2)
C. (x + 4)(x-2)
D. (x - 5)(x-1)

Answers

every choice except A quadratic questions

Write the slope-intercept form of the equation of the line passing through the point (5, - 1) and parallel to the line y = 4x - 1

Answers

Step-by-step explanation:

hope this solution will help you

All truck travels 2,400 m in 60 hours, going the same distance each hour. How many miles does the truck travel each hour?

Answers

Answer:

The truck travels 40 miles per hour.

Step-by-step explanation:

You can use proportion to solve this.

[tex] \frac{2400 \: miles}{60 \: hours} = \frac{x}{1 \: hour} \\ \\ \frac{60x}{60} = \frac{2400}{60} \\ \\ x = 40[/tex]

Solve 2x^2+8x-1=0 can someone type this "correctly" in photo math for me please?

Answers

Answer:

Step-by-step explanation:

A triangle has one side that measures 5 units and another side that
measures 7 units. What are two possible lengths for the third side?
Explain why you chose the lengths you did.

Answers

Answer:

see explanation

Step-by-step explanation:

Given 2 sides of a triangle then the third side x is between the limits

difference of 2 sides < x < sum of 2 sides, that is

7 - 5 < x < 7 + 5 , then

2 < x < 12

Choose any 2 values between 2 and 12 as third side, so

third side could be 6 or 9 for example

Sugar and flour are mixed in the ratio 3.5 in a sweet recipe in another recipe 15 parts of flour are used if these two ingredeints on both recipes are in both recipes are an equivalent ratio

Answers

Answer: 9

Step-by-step explanation:

Here is the completed question.

Sugar and flour are mixed in the ratio 3:5 in a sweet recipe. In another recipe, 15 parts of flour are used. If these two ingredients in both recipes are in an equivalent ratio, how many parts of sugar should be used?

Ratio of sugar and flour = 3:5

Since 15 parts of flour are used, the parts of sugar that should be used will be:

= 15 ÷ 5/3

= 15 × 3/5

= 3 × 3

= 9

Describe a congruence transformation.

Answers

I DONT REALLY KNOW IM SO SORRY

Evaluate the expression below when x = 5.5 and y = 6. 4(x+6)−3(y+4)

Answers

Answer:

16.4

Step-by-step explanation:

4(5.5 + 6) - 3(6 + 4)

4(11.6) - 3(10)

46.4 - 30

16.4

Answer:

The answer is 16.

Step-by-step explanation:

4(x+6)−3(y+4)

=4x+24-3y-12

=4(5.5)+24-3(6)-12

=22+24-18-12

=46-30

=16

-3x + 12 = -36
solve for x

Answers

Answer:

x=16

Step-by-step explanation:

-3x+12=-36

     -12 | -12

-3x=-48

/-3 | /-3

x=16 because the negatives cancel out eachother so it would be x=48/3 and 48/3=16

Which expression uses the greatest common factor and the distributive property to write the sum 36 1 54 as a product? A 6(6 1 9) B 9(4 1 6) C 18(2 1 3) D 27(9 1 27)

Answers

9514 1404 393

Answer:

  C  18(2 + 3)

Step-by-step explanation:

The GCD of 36 and 54 is their difference, 18. Factoring that out of the sum, you have ...

  36 + 54 = (18·2 + 18·3) = 18(2 + 3) . . . . matches choice C

Evaluate (3n + 2) – 10 when n = 3.

First, evaluate within the parentheses. Then evaluate exponents. Next, multiply and divide from left to right. Then, add and subtract from left to right.

Evaluate the expression for the given value of the variable and use the drop-down menus to complete the statements.

Substitute the given value for the
.
Use the
to simplify.
First, complete the
inside the parentheses.
Next, complete the
inside the parentheses.
Last, complete the subtraction.
The value is
.

Answers

Answer:

1

Step-by-step explanation:

(3x3-2)-10=(9+2)-10=11-10=1

Answer:

The value is 1.

Step-by-step explanation:

(3n + 2) – 10

(3(3) + 2) – 10

9+2-10

11-10

1

Find the missing side. Round to the nearest tenth.
X
16
20

Answers

Answer:

x = 58.47

Step-by-step explanation:

Use SOH CAH TOA

Sin(16) = 20/x

x = 58.47

answer correctly please and you will get brainliest

Answers

Answer:

2.25

Step-by-step explanation:

If you divide any of the bigger numbers on the bottom by the bigger numbers on top, you would get 2.25 no matter what.

what ius the symoble for iron

Answers

Answer:

fe

Step-by-step explanation:

ratios equivalent to 10:9.

Answers

Answer:20:18

Step-by-step explanation:

Answer:

111. Also, 5:3

Step-by-step explanation:

yw

1. The value of (301)^2 – (300)^2 is

Answers

answer:
(301)^2-(300)^2
it is in the form of
a^2-b^2=(a+b)(a-b)
so,
(301+300)(301-300)
(601)(1)=601

You will get the degree of the polynomial by adding the exponent of the variable include in the polynomial.
True
False​

Answers

Answer:

Step-by-step explanation:

THe answer is true

which point is the incenter of angle DEF

Answers

I think it’s point G

PLEASE HELP!!!!! :(​

Answers

Answer:

since you have so much answers already ill just say E

Step-by-step explanation:

Answer: There is no solution

Nora has nn nickels and dd dimes. She has a minimum of $2 worth of coins altogether. Write this situation as an inequality.

Answers

Answer:

0.05nn + 0.10dd ≥ 2

*make sure it is either n or nn depending whether you had a typo in problem*

Step-by-step explanation:

First each nickel is worth 0.05

each dime is 0.10

and we must have a minimum so the total value has to be at least $2

so 0.05nn + 0.10dd ≥ 2

please give thanks by clicking the heart button :)

Solving equations

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

Answers

Answer:

x=2

THAT IS ALL I KNOW SORRY

Step-by-step explanation:

Answer:

x = -1.2

Step-by-step explanation:

First distribute

2x + 8 = -8x - 4

next move variables to one side

2x + 8 = -8x - 4

+8x        +8x

10x + 8 = -4

now get the variable by its self

10x + 8 = -4

       -8   -8

10x = -12

/10.    /10

x = -1.2

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