Alaina went to Applebee’s for dinner with some friends. The bill came to $87.43 but one of her friends had a 12% off coupon. How much did they save with the coupon?

Step-by-step explanation:

- A single coin is known to have 2 sides (The head H and the tail T).

The total number of sample space for n number of coins is expressed as 2ⁿ where

n is the total number of coins flipped.

If a single coin is flipped four times, the total outcome will be expressed as;

2⁴ = 16

Hence there are 16 different possible outcomes.

- To construct the sample space (the 16 possible outcomes)

For one flipped coin, the sample space is represented by the set S₁

S₁ = {H, T}

H is Head

T is Tail

For two flipped coin, the sample space is represented by the set S₂

S₂ = S₁×S₁

S₂ = {H, T}×{H,T}

S₂ ={HH, HT, TH, TT}

For three flipped coin, the sample space is represented by the set S₃

S₃ = S₂×S₁

S₃ = {HH, HT, TH, TT}×{H,T}

S₃ = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

For four flipped coin, the sample space is represented by the set S₄

S₄ = S₃×S₁

S₄ = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}×{H,T}

S₄ ={HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT, THHH, THHT, THTH, THTT, TTHH, TTHT, TTTH, TTTT}

Hence the sample space for a single coin flipped 4times is given by the set;

S₄ ={HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT, THHH, THHT, THTH, THTT, TTHH, TTHT, TTTH, TTTT}  where;

n(S₄) = 16

Answer: y =21; x = 7√3

have: cos 60° = x/(14√3) = 1/2 => x = 1/2. (14√3) = 7√3

sin 60° = y/(14√3) = (√3)/2 => y = (√3)/2 . 14√3 = 21

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

I believe the answer is A. love your pfp btw

Step-by-step explanation:

12/400 is .03 or 3%

Answer:

4

Step-by-step explanation:

it's just another way of saying find the slope

Answer:

the answer is 4:10

Step-by-step explanation:

Answer:

Total pumpkins left = 254

Step-by-step explanation:

Total pumpkins available = 242

12 visitors brought 2 pumkins each by November 10th.

Total pumpkins brought = 12 × 2

= 24 pumpkins

How many pumkind does the farm have left?

Total pumpkins left = Total pumpkins available + total pumpkins brought

= 242 + 12

= 254

Total pumpkins left = 254

Answer:

[tex]x = - 1[/tex]

[tex]y = 3[/tex]

Step-by-step explanation:

[tex]y - 4x = 7(eqn \: 1)[/tex]

[tex]2y + 4x = 2(eqn \: 2)[/tex]

[tex]solving \: by \: eliminating \: one \: variable[/tex]

[tex](y - 4x = 7)[/tex]

[tex] + (2y + 4x = 2)[/tex]

[tex]3y = 9[/tex]

[tex]y = 3[/tex]

[tex]y - 4x = 7[/tex]

[tex]3 - 4x = 7[/tex]

[tex] - 4x = 7 - 3[/tex]

[tex] \frac{ - 4x}{ - 4} = \frac{4}{ - 4} [/tex]

[tex]x = - 1[/tex]

The solution to this system of linear equations will be (–1, 3). Then the correct option is D.

The solution of the equation means the value of the unknown or variable.

The equations are given below.

 y − 4x = 7   ...1

2y + 4x = 2  ...2

Add both equations, then we have

3y = 9

 y = 3

Put y = 3 in equation 1, then we have

3 − 4x = 7

     4x = –4

       x = –1

The solution to this system of linear equations will be (–1, 3).

Then the correct option is D.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

Answer:

sas - meaning side angle side

Step-by-step explanation:

Step-by-step explanation:

i think its as

g(x)=2x-12

7=2x-12

7+12=2x

19=2x

x=19

2

i hope so,

Answer: c = -47

Step-by-step explanation:

1. Divide both sides

2. Move the constant to the right

3. Calculate

Answer:

c = -47

Step-by-step explanation:

Here's how!

0.2(c - 3) = -10 (distribute 0.2 to c and -3)

0.2c - 0.6 = -10 (add 0.6 to both sides)

0.2c = -9.4 (divide by 0.2 on both sides)

c = -47

Plug in

0.2(-47 - 3) = -10 (add -47 and -3)

0.2(-50) = -10 (distribute)

-10 = -10

Hope this helps!!

Answer:

dats alot

Step-by-step explanation:

Answer:

A) 0."36"

B)It is a repeating decimal because .36 is repeated indefinitely. Terminating decimals contains a finite number of digits after the decimal point.

Step-by-step explanation:

Answer:

256m

Step-by-step explanation:

not 100% sure but i hope this helps :)

Answer:

Please check the explanation.

Step-by-step explanation:

a)

As there are 1000000 units in 1 million

i.e.

1 million = 1000000 units

A house as purchases for $6780000.

Thus, the purchase price in million will be:

6780000/1000000 = 6.78 million

b)

purchase price in millions nearest to an integer

As the number we are rounding is followed by 7, so will be round the number up.

Therefore,

$6780000 rounded to the nearest million =  $7,000,000

125 do not                    

375 have

500 is the total

500-125 =375

375/500

500 divided by 375 = 0.75

75%

Answer:

x = 123°

General Formulas and Concepts:

Geometry

Step-by-step explanation:

The angles on the transversal and parallel lines are Corresponding Angles. Therefore, according to the definition, they are congruent.

Answer: See explanation

Step-by-step explanation:

You didn't give the options but let.me solve the number of left handed girls and you then choose the closest answer to the value that I get.

Surprising survey revealed that 32% of the 475 girls at mason Junior high school were left handed. Therefore, the number of left handed girls will be:

= 32% × 475

= 32/100 × 475

= 0.32 × 475

= 152 left handed girls

Answer:

640 cards

Step-by-step explanation:

If the rest are dated after 2000, that means that 40% are dated after 2000, since 25% + 35% = 60%

To find how many are dated after 2000, multiply 1,600 by 0.4:

1,600(0.6) = 640

So, 640 of the baseball cards are dated after 2000

Answer: 1.98/11+g = 12/100

Answer:

D [tex]\frac{1.98}{11+g} =\frac{12}{100}[/tex]

Step-by-step explanation:

edge

Answer:

75

Step-by-step explanation:

Answer:

Step-by-step explanation:

722222

Answer:

136 r 13

Step-by-step explanation:

divide the numbers using long division:

         1 3 6

   __________

18 | 2 4 6 1

    - 1 8

     ___

         6 6

        - 54

        _____

           1 2  1

        -  1 0 8

           _____

               1 3    

So 2461 / 18 is 136, remainder 13

Answer:

3(2)+8= 14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

its pretty much 6+8

Answer: For 6 cups of gravy, Yolanda will have 36 servings of potatoes

Step-by-step explanation:

Step 1

Since  Yolanda has a  1/6-cup of ladle for one full serving

Then for every serving the 1/6- cup ladle  is used and can be expressed as

1 serving  =1/6-cup of ladle

Step 2--- Solving

Serving of potatoes for  1 cup is

1 serving  =1/6 cup of ladle

?? servings=1 cup of ladle ( cross multiply)

=  1 x 6/1 =  6 servings

Therefore  6 cups of gravy =  6 servings x 6 = 36 servings of potatoes

Answer:

683.65

Step-by-step explanation:

Answer:

683.65

Step-by-step explanation:

Answer:

44 because if he goes more longer it will not fit

Answer:

- 10

Step-by-step explanation:

g(x) = - x² + 2x

g(3) - 7 = - (3)² + 2(3) - 7 = - 10