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:

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

Step-by-step explanation:

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

Answer:  [tex]y < -\frac{1}{2}x+3[/tex]

This is the same as writing y < (-1/2)x+3

==============================================================

Explanation:

The dashed boundary line goes through (0,3) and (4,1)

Apply the slope formula for those two points

m = (y2-y1)/(x2-x1)

m = (1-3)/(4-0)

m = -2/4

m = -1/2

The slope of the dashed line is -1/2. The y intercept is 3. So we go from y = mx+b to y = (-1/2)x+3 to represent the equation of the dashed line. This is the same as writing [tex]y = -\frac{1}{2}x+3[/tex]

We shade below the dashed line to represent the inequality [tex]y < -\frac{1}{2}x+3[/tex]. Points in the shaded region are solutions to the inequality. One example point is (0,0).

Note that we don't have "or equal to" as part of the inequality sign because we are not including points on the boundary. A solid line, rather than a dashed line, would include points on the boundary.

The residual column is given by the difference between the given values

and the values from the fitted line.

Reasons:

The line of best fit equation is; y = 2.55·x - 3.15

The 4-column table is presented s follows;

[tex]\begin{tabular}{|c|c|c|c|}\underline{x}&\underline{Given}&\underline{Predicted}&\underline{Residual}\\1&-0.7&-0.6&-0.1\\2&2.3&1.95&0.35\\3&4.1&4.5&a\\4&7.2&7.02&b\end{array}\right][/tex]

Required:

The values of a and b

Solution;

The residual is given by the difference between actually observed value and the predicted value

RESID = [tex]\mathbf{y_i}[/tex] - [tex]\mathbf{x_i}[/tex]·b

Where;

[tex]y_i[/tex] = The given value at point i

[tex]x_i[/tex]·b = The predicted value at point i

Therefore;

At x = 1, the residual = -0.7 - (-0.6) = -0.1

At x = 2, the residual = 2.3 - 1.95 = 0.35

At x = 3, the residual = a = 4.1 - 4.5 = -0.4

Therefore;

At x = 4, the residual = b = 7.2 - 7.02 = 0.18

Therefore;

Learn more about line of best fit here:

https://brainly.com/question/1504320

[tex] \sf \longmapsto \: 2x + 21 = 3[/tex]

[tex]\sf \longmapsto2x = 3 - 21[/tex]

[tex]\sf \longmapsto2x = - 18[/tex]

[tex]\sf \longmapsto \: x = \frac{ - 18}{2} [/tex]

[tex]\sf \longmapsto x = - 9[/tex]

Answer:

[tex]\bf x=-9[/tex]

Step-by-step explanation:

[tex]\sf 2x+21=3[/tex]

Subtract 21 from both sides:-

[tex]\sf 2x+21-21=3-21[/tex]

Simplify

[tex]\sf 2x=-18[/tex]

Divide both sides by 2:-

[tex]\sf \cfrac{2x}{2}=\cfrac{-18}{2}[/tex]

[tex]\sf x=-9[/tex]

Answer:

answer is d

by using rise over run you get 3/6 which is then simplified into 1/2

Answer:

the first option; b = 5 minus three-halves r

Step-by-step explanation:

4b+6r=20

4b=20-6r

b=5-3/2r

Answer: A

Step-by-step explanation: This is the answer for edge 2021 im a student

Answer:

linear functions have no exponents higher than 1, and a graph that looks like a straight line. non-linear functions have at least one exponent higher than 1, and a graph that isn't a straight line.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The slope (m = rate of growth) for this function is 3/5. So, m= 3/5.

The y-intercept (b) for this function is located at (0,3). So, b=3.

Therefore, h(x) = 3/5x + 3

Step-by-step explanation:

Let the independent variable be x and dependent variable be y

y=h(x)

h is a linear function so it is represented in the general form of y=mx+c where

m is slope and c is the y-intercept.

Given "the dependent variable decreases 3 units for every 5 units the independent variable increases."

When x increases by 5, y decreases by 3

So the slope = rate of change of y / rate of change of x = -3/5

Given h(0)=3, h(0)=m(0)+c=3

c=3

Combining slope and y-intercept, y=-3/5*x+3

x-intercept is when y=0

0=-3/5*x+3

3/5*x=3

x=3*5/3=5

x-intercept=5

The slope of the linear function 3/5.

The y - intercept of the linear function - 3.

The x - intercept of the linear function - 5.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

A linear function g models a relationship in which the dependent variable decreases 3 units for every 5 units the independent variable increases.

And, g(0) = - 3

Now,

Since, A linear function g models a relationship in which the dependent variable decreases 3 units for every 5 units the independent variable increases.

So, Slope = Rate of growth

               = - 3 / 5

Thus, The slope of the linear function - 3/5.

Hence, The general form of equation of line is,

⇒ y = mx + c

⇒ g (x) = - 3/5x + c

Since, g (0) = - 3

⇒ g (0) = - 3/5 × 0 + c

⇒ - 3 = c

Thus, The y - intercept of the linear function - 3.

Hence, We get the general form of equation of line as;

⇒ g (x) = - 3/5x - 3

For x - intercept put g (x) = 0, we get;

⇒ 0 = - 3/5x - 3

⇒ - 3/5x = 3

⇒ x = - 5

Thus, The x - intercept of the linear function - 5.

Therefore, The slope of the linear function 3/5.

The y - intercept of the linear function - 3.

The x - intercept of the linear function - 5.

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ2

Step-by-step explanation:

I hope you understand it. Thank you for 50 points

Refer to the attachment

Answer:

∠K = 123°

∠L = 97°

∠O = 83°

∠N = 40°

Step-by-step explanation:

∠K and ∡57° are Supplementary, so their sum is equal to 180°

180 - 57 = 123

∠K = 123°

∠N and ∡140° are also Supplementary

180 - 140 = 40

∠N = 40°

The area of a triangle is equal to 180 when all angles are added together

40 + 57 = 97

180 - 97 = 83

∠O = 83°

∠L is an outside angle, which is equal to the sum of the 2 further angles (in this case ∡57° and ∠N) which we found was 97° when solving for ∠O

∠L = 97°

Now to check ∠K we add ∠O and ∠N

83 + 40 = 123

Now we also check ∠O with ∡140°

140 - 57 = 83

So all of the angles check out correctly

Answer:Whats the question or add a picture

Answer:

127 degree I guess because I don't see a picture

Step-by-step explanation:

is the picture showing 53 degrees

Answer:

X = 17

Step-by-step explanation:

Mid segment theorem: the segment joining the midpoints of two sides of a triangle is half the length of the third side.

Answer:

yyyyyyyyyyyyyyyyyyyyyyyyyyyyy

Answer:

Slope=5

Step-by-step explanation:

Using slope formula, we have -9-(-14)/-1-(-2) which is 5/1, so our slope is 5

Answer:

slope is 5

Step-by-step explanation:

get 2 points and apply:

(-14-(-9))/(-2-(-1))=-5/-1=5

Answer:

y=10x-4

Step-by-step explanation:

Answer:

y=10x-4

Step-by-step explanation:

Answer:

[tex](x + 7) - (x - 2)[/tex]

x²-2x+7x-14

Answer:

x2+5x-14

Step-by-step explanation:

Answer: She did not create it correctly because we have two science students and six music students instead of three science students and five music students. I believe pie charts work well because they give a quick overview of the students.

Would appreciate brainly <3

Answer:

Commission = $768

Total amount commission in 2011 = $41,472

Step-by-step explanation:

Commission = Sales × 12% of sales

Commission = $6,400 × .12

Commission = $768

Number of weeks in a year = 52 weeks

Total amount commission in 2011 = Commission per month × Number of

                                                            weeks in a year

Total amount commission in 2011 = $768 × 52

Total amount commission in 2011 = $41,472

[tex]\sqrt{x(x+2)} = 0 <=> x(x+2)=0\\<=> x=0 /or/ x+2=0 <=> x=0 /or/ x=-2[/tex]

ok done. Thank to me :>

Step-by-step explanation:

step 1:-group the first two terms together and then the last terms together.

step 2:-factor out a GCF from each separate binomial.

step3:-factor out the binomial

Answer:

a = 1

b = -9

c = 18

Answer:

d = 3

Step-by-step explanation:

The sum to n terms of an AP is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] ( a + l)

where a is the first term and l the last term

Here a = 2, l = 59 and sum = 610 , then

[tex]\frac{n}{2}[/tex] (2 + 59) = 610

[tex]\frac{n}{2}[/tex] × 61 = 610 ( divide both sides by 61 )

[tex]\frac{n}{2}[/tex] = 10 ( multiply both sides by 2 to clear the fraction )

n = 20

Then the sequence has 20 terms with a₂₀ = 59

The nth term of an AP is

[tex]a_{n}[/tex] = a + (n - 1)d

where d is the common difference , then

2 + 19d = 59 ( subtract 2 from both sides )

19d = 57 ( divide both sides by 19 )

d = 3

Answer:

0.02a

Step-by-step explanation:

Since 0.02 is equal to 2 cents, he would get 0.02a annually. This is because a represents the income from interest and 0.02 is the amount of money made for interest.

Answer:

f(x) = 2x + 1.

Step-by-step explanation:

In order to determine the function rule for the given table of values, we must start by finding the slope or the rate of change. Choose two ordered pairs from the table: (0, 1) and (1, 3).

Let (x₁, y₁) = (0, 1)

     (x₂, y₂) = (1, 3)

Substitute these values into the following slope formula:

m = (y₂ - y₁)/(x₂ - x₁)

m = (3 - 1)/(1 - 0)

m = 2/1 = 2

Therefore, the slope of the function is, m = 2.

Next, we must determine the y-intercept, which is the point on the graph where it crosses the y-axis, with coordinates of (0, b ). From the given table of values, the y-intercept is (0, 1), for which its y-coordinate is the value of b = 1.

Therefore, the function rule that represents the given table of values is:

they look the same size but because of the 2 in front meaning it's going to be double than what the real answer it is (and it twelve Ike it's counter part) it would be six... yet someone already answered before me so credits to him.

ANSWER 6

Answer:B.27

Step-by-step explanation:

If right please mark as brainly

Answer:

128/512 or 1/4

Step-by-step explanation:

(2 x 2 x 2 x 2) x (2 x 2 x 2)= 16 x 8 = 128

-------------------------------------------------

(2 x 2 x 2 x 2 x 2) x (2 x 2 x 2 x 2)= 32 x 16 = 512