Part 1: Celebration!
You and three friends will be going out to eat at your favorite restaurant!

Each of you will order three items of your choice. You will also need to leave a tip. If you split the bill evenly among all four of you, how much will each person need to contribute?

Locate a menu for your favorite restaurant and pick three items for yourself and each friend. Make sure all or some of the items differ for each person.
List the restaurant name, items, and prices in a table like the one below.
In the column labeled Subtotal, determine the cost of each person’s order.
The customary tip is 20% of the total bill. In the column labeled Tip, calculate the amount of tip each person should leave.
In the column labeled Total Bill, determine the total of each person’s order, including the tip.
Restaurant name:

Names Item 1 Price Item 2 Price Item 3 Price Subtotal Tip Total Bill
Your name
Friend #1
Friend #2
Friend #3
Part 2: Questions
Answer the following questions, showing all work:

What is the total cost of the entire bill (all four meals), including tip?


Write an expression using fractions to show how to determine the amount that each person will pay. Then calculate each person's contributions showing all steps in long division.


If each person paid an equal amount, who would save the most money? Explain your reasoning using at least two complete sentences.

Answer:

I can even see anything can you reupload your answer, please?

Step-by-step explanation:

Given, ∠POR=120

o

Hence, ∠POR=2∠PQR (half angle property)

∠PQR=

2

1

​

×120

o

=60

o

PQRS is a cyclic quadrilateral

∴∠PQR+∠PSR=180

o

∠PSR=180−60

∠PSR=120

o

Answer:

Step-by-step explanation:

y=-2x - 7/6    .............1

By using the slope-intercept form:

y=mx+c  ............2

By comparing equations 1 and 2:

m = -2

Answer:

Step-by-step explanation:

divide 15,180 and 46=330 dimples on each ball

Answer:7 deadly sins cursed by light

Step-by-step explanation:

Answer:

Equivalent Ratio

A ratio shows the comparison of quantities. It describes a part-to-part or a part-to-whole comparison. It can be written in three ways: fraction form, colon form and word form. Ratios that have the same values are called equivalent ratio. You can find the equivalent ratio by multiplying or dividing both quantities by the same number.

Solution:

Let us now find the equivalent ratios of the given ratios above by multiplying or dividing.

1) ‌2⁄4‌ = ‌1⁄2, ‌4⁄8, ‌6⁄12

‌2÷2 / 4÷2 = 1⁄2

2×2 / 4×2 = 4⁄8

2×3 / 4×3 = 6⁄12

2) 5⁄10 = 1⁄2, 20⁄40, 30⁄60

5÷5 / 10÷5 = 1⁄2

5×4 / 10×4 = 20⁄40

5×6 / 10×6 = 30⁄60

3) 4⁄5 = 8⁄10, 16⁄20, 28⁄35

4×2 / 5×2 = 8⁄10

4×4 / 5×4 = 16⁄20

4×7 / 5×7 = 28⁄35

4) 3⁄9 = 1⁄3, 9⁄27, 21⁄63

‌3÷3 / 9÷3 = 1⁄3

3×3 / 9×3 = 9⁄27

3×7 / 9×7 = 21⁄63

5) 2⁄5 = 4⁄10, 8⁄20, 14⁄35

2×2 / 5×2 = 4⁄10

2×4 / 5×4 = 8⁄20

2×7 / 5×7 = 14⁄35

6) 8⁄10 = 4⁄5, 24⁄30, 56⁄70

‌8÷2 / 10÷2 = 4⁄5

8×3 / 10×3 = 24⁄30

8×7 / 10×7 = 56⁄70

7) 3⁄15 = 1⁄5, 6⁄30, 12⁄60

‌3÷3 / 15÷3 = 1⁄5

3×2 / 15×2 = 6⁄30

3×4 / 15×4 = 12⁄60

8) 2⁄8 = 1⁄4, 6⁄24, 14⁄56

‌2÷2 / 8÷2 = 1⁄4

2×3 / 8×3 = 6⁄24

2×7 / 8×7 = 14⁄56

9) 3⁄7 = 6⁄14, 12⁄28, 18⁄42

3×2 / 7×2 = 6⁄14

3×4 / 7×4 = 12⁄28

3×6 / 7×6 = 18⁄42

10) 6⁄8 = 3⁄4, 24⁄32, 36⁄48

6÷2 / 8÷2 = 3⁄4

6×4 / 8×4 = 24⁄32

6×6 / 8×6 = 36⁄48

Step-by-step explanation:

Answer:Equivalent Ratio

Answer:

It can not be rounded to the nearest millionths bc there is not millionths place in the decimal

Step-by-step explanation:

Recal the binomial theorem:

[tex]\displaystyle (a+b)^n = \sum_{k=0}^n \binom nk a^{n-k} b^k[/tex]

Then

[tex]\displaystyle (2q+p)^{21} = \sum_{k=0}^{21} \binom{21}k (2q)^{21-k} p^k = \sum_{k=0}^{21} \binom{21}k 2^{21-k} q^{21-k} p^k[/tex]

We get the q⁴p¹⁷ term when k = 17, and its coefficient would be

[tex]\dbinom{21}{17} 2^{21-17} = \dfrac{21!}{17!(21-17)!} 2^4 = \dfrac{21\cdot20\cdot19\cdot18}{4\cdot3\cdot2\cdot1}\cdot2^4 = \boxed{95,760}[/tex]

[tex]how \: do \: i \: solve \: reflection[/tex]

[tex]reflection \: a \: geometric \: transformation \: resulting \: in \: a \: mirrior \: image. \: in \: a \: reflection \: a \: shape \: is \: flipped \: over \: a \: mirrior \: line \: or \: line \: of \: reflection \: to \: face \: the \: opposite \: direction.[/tex]

Step-by-step explanation:

Answer:

2125m or 2km or 125m

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

2125 meters

Step-by-step explanation:

Have a great day!

Answer:

y = 5x +4

Step-by-step explanation:

x has to equal 1

y = 5(1) +4 = 9

645/2=322.5 cakes on each table

hope this helps!

Answer:

  (a)  A is steeper; 4/5 > 2/5

Step-by-step explanation:

The slope of A is the coefficient of x, so is 4/5. This eliminates choices B and D.

The line in the graph has a rise of 2 units for each run of 5 units, so has a slope of ...

  slope = rise/run = 2/5

This eliminates choice C.

The correct description of the relationship is the first one:

  Equation A has a steeper slope, because 4/5 is greater than 2/5.

Answer:

a. n=6

b. n = 4

c. n =2

d. n = 11 ÷ 5

e. n = 10

f. 20

Step-by-step explanation:

a. 5n = 30

n=30÷5

n=6

b. 3n-1 = 11

3n= 11 + 1

n = 12 ÷3

n=4

c. 4n + 7 = 15

4n = 15 - 7

n = 8 ÷ 4

n = 2

d. 5n = 11

n = 11 ÷ 5

e. 4 + n = 40

n = 40 - 4

n = 10

f. 5 + 15 = 20

Answer:

first one is -3/4a^3b^2

Step-by-step explanation:

i dont know the second one and i need help on that one too im sorry

The monomial of the functions are;

1. - 3/4 a³b²

2. - 0.1 aⁿ⁺¹

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

the expression are;

1. - 27/64 a⁹b⁶

2. - 0.001 a³n³ⁿ⁺³

Now,

Solve the expression as;

1. - 27/64 a⁹b⁶

Take cube root, we get;

∛- 27/64 a⁹b⁶ = ∛ - 3 × - 3 × - 3/4×4×4 a³a³a³ b²b²b²

                     = - 3/4 a³b²

And,  - 0.001 a³n³ⁿ⁺³

∛ - 0.001 a³n³ⁿ⁺³ = ∛-0.1×0.1×0.1 aⁿ⁺¹ aⁿ⁺¹ aⁿ⁺¹

                         = - 0.1 aⁿ⁺¹

Thus, The monomial of the functions are;

1. - 3/4 a³b²

2. - 0.1 aⁿ⁺¹

Learn more about the monomial visit:

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Answer:

B. m[tex]\geq 2\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]m\geq \frac{5}{2}[/tex]

Answer:

Step-by-step explanation:Method 2 of 2: Solving for Slope Get a line of which you want to know the slope. Make sure that the line is straight. ... Pick any two coordinates that the line goes through. Coordinates are the x and y points written as ( x, y ). Pick which point's coordinates are dominant in your equation. ... Set up the equation using the y-coordinates on top and the x-coordinates on bottom. More items.

The intervals of the domain over which the function is continuous is - option (C) (-infinity, infinity).

A function is said to be continuous on an interval when the function is defined at every point on that interval and undergoes no interruptions, jumps, or breaks. If some function f(x) satisfies these criteria from x=a to x=b, for example, we say that f(x) is continuous on the interval [a, b]. The brackets mean that the interval is closed -- that it includes the endpoints a and b. In other words, that the interval is defined as a ≤ x ≤ b. An open interval (a, b), on the other hand, would not include endpoints a and b, and would be defined as a < x < b.

we use a square bracket [ when the set includes the endpoint and a parenthesis ( to indicate that the endpoint is either not included or the interval is unbounded.

If a function f provides a way to successfully produce a single value y using for that purpose a value for x then that chosen x-value is said to belong to the domain of f.

So the  the intervals of the domain over which the function is continuous is (-infinity, infinity) .

To learn more about Intervals

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The easiest way to convert a fraction to a decimal is to divide the numerator (the top of the fraction) by the denominator (the bottom of the fraction) by using a calculator. The resulting answer will be the value of the fraction expressed as a decimal number.

Answer:

I don't know it's very hart

Answer:

108

Step-by-step explanation:

A linear pair adds to 180 degrees

<C + <F = 180

3x+ 3x+18 = 180

6x+18 =180

6x+18-18= 180-18

6x =162

6x/6 =162/6

x=27

<F = 3x+18 = 3(27)+18 =81+27 = 108

Answer:

$0.29

Step-by-step explanation:

Hello!

All you gotta do is 6.69/24 and it should give you 0.29.

Answer:

Angles 7 and 8 are supplementary because they are a pair of adjacent angles that form a straight line.

Supplementary angles add up to 180°

Answer:

-24

Step-by-step explanation:

-7 +3 is -4

-4+-20 is -24

-7 + 3 - 20

= -4 - 20

= -4 + -20

= -24

______

Hope it helps ⚜

Answer:

7 miles per hour

Step-by-step explanation:

3 1/2 miles = 7/2 miles

1/2 hours= 30 minutes

So,

In 30 mins, travelled 7/2 miles

In 1 min, travelled 7/2 ÷ 30= 7/2× 1/30 = (7×1)/(2×30) = 7/60 miles

In 60 mins, travelled (7×60)/60 miles = 420/60 miles = 7 miles.

Hence, the speed is 7 miles per hour.

Hope this helps :)

Answer:

Step-by-step explanation:

He should be just fine.

There are 1000 grams in a kilogram.

He has 3410 grams [ 1 kg / 1000 grams ] = 3.410 kg.

He has 3 kg with 0.410 kg left over.

Answer:

36.90

Step-by-step explanation:

[tex]-4[/tex] is a part of the solution set to all of the inequalities

We will consider each inequality in turn:

For [tex]x>-5[/tex]:

The solution set is [tex]\{{-4,-3,-2,-1,...\}[/tex]

So [tex]-4[/tex] is a part of the solution set of [tex]x>-5[/tex]

For [tex]2>x[/tex], or [tex]x<2[/tex]:

The solution set is [tex]\{{1,0-1,-2,-3,-4,...\}[/tex]

So [tex]-4[/tex] is a part of the solution set of [tex]2>x[/tex]

For [tex]3x+4\ge -8[/tex]:

We have to solve first

[tex]3x+4\ge -8\\3x\ge -8-4\\3x\ge -12\\x\ge -4\\[/tex]

The solution set is [tex]\{{-4,-3,-2,-1,0,...\}[/tex]

So [tex]-4[/tex] is a part of the solution set of [tex]3x+4\ge -8[/tex]

For [tex]5x\le 2x-3[/tex]:

We have to solve first

[tex]5x\le 2x-3\\5x-2x\le-3\\3x\le-3\\x\le-1[/tex]

The solution set is [tex]\{{-1,-2,-3,-4,-5,...\}[/tex]

So [tex]-4[/tex] is a part of the solution set of [tex]5x\le 2x-3[/tex]

For [tex]-6<4-2x[/tex]:

We have to solve first

[tex]-6<4-2x\\2x<4+6\\2x<10\\x<5[/tex]

The solution set is [tex]\{{4,3,2,...,-3,-4,-5,...\}[/tex]

So [tex]-4[/tex] is a part of the solution set of [tex]-6<4-2x[/tex]

So, [tex]-4[/tex] is a part of the solution set of all the inequalities.

Learn more about inequalities here: https://brainly.com/question/278997

Answer:

4

Step-by-step explanation: