A group of people dined at a restaurant. The price of shared appetizers was $28, and the average price of each person’s entrée was $12. If the total amount of the bill, including a 20% tip, was $120, how many people were in the group?

Answers

Answer 1

Answer:

6 people

Step-by-step explanation:


Related Questions

Fiona can type 60 words a minute. How many words can be typed in 10.5 minutes

Answers

Answer:

630

Step-by-step explanation:

Answer:

630

Step-by-step explanation:

1 minute = 60 words multiply everything by 10.5

10.5 minutes = 10.5(60) = 630 words

You have a new pool and want to know its volume. The pool is 5 feet deep and has a radius of 7 feet. About how much water can the pool hold?

Answers

Answer:

Vol = 769.7 cubic ft

Step-by-step explanation:

"radius" is the distance from the center of a circle to the circle. So let's assume your pool is a circular pool with radius = 7ft and height = 5ft. It's a cylinder.

Volume of a cylinder:

Vol =

Base area•height

= pi•r^2 • h

= pi(7)^2•5

= pi•49•5

= pi • 245

= 245pi

Now, 245pi cubic ft is a perfectly good answer. But your teacher/text/class, may be asking for a decimal approximation.

If you use calculator pi (that's a lot of decimals) you get

Vol ~= 769.69 (to the hundredths place)

Vol ~= 769.7(to the tenths place)

If you were told to use 3.14 for pi

then you get

Vol ~= 769.3 cubic ft

But if you were told to convert units to gallons or liters there are more calculations (message, i can edit in these)

What value for x is the solution to the following equation
10+2x-4

Answers

Answer:

-3

Step-by-step explanation:

10+2X-4= 0

2X= -10 + 4

2X = -6

X = -3

rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr

Answers

Solution:

We know that:

9x + 4 and 3x + 16 are equivalent because of alternate inner angles.

This means that:

[tex]9x + 4 = 3x + 16[/tex]

Step-by step calculations:

Subtract 3x both sides.

[tex]9x + 4 = 3x + 16[/tex]⇒ [tex]9x - 3x + 4 = 3x - 3x + 16[/tex]⇒ [tex]6x + 4 = 16[/tex]

Subtract 4 both sides.

⇒ [tex]6x + 4 = 16[/tex]⇒ [tex]6x + 4 - 4 = 16 - 4[/tex]⇒ [tex]6x = 12[/tex]

Divide 6 both sides.

⇒ [tex]\frac{6x}{6} = \frac{12}{6}[/tex][tex]x = 2[/tex]

*Note that:-

9x+4= 3x+16 [Alternate interior angles]

Using this equation we will solve for x and then find each angle...

[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]

[tex]9x + 4 = 3x + 16 \\ 9x + 4 - 3x = 16 \\ 9x - 3x = 16 - 4 \\ 6x = 12 \\ x = 2[/tex]

Now,

[tex]\large{|\underline{\mathsf{\red{1}\blue{ ^{s} }\orange{^{t} }\pink{ \: }\blue{a}\purple{n}\green{g}\red{l}\blue{e}\orange{ \: }\green{↯}\red{}\purple{}\pink{}}}}[/tex]

[tex] \pmb{9x + 4} \\ \pmb{9 \times 2 + 4} \\ \pmb{18 + 4} \\ \boxed{ \tt \: ∠1 = 22 \degree }[/tex]

[tex]\large{|\underline{\mathsf{\red{2}\blue{ ^{n} }\orange{^{d} }\pink{ \: }\blue{a}\purple{n}\green{g}\red{l}\blue{e}\orange{ \: }\green{↯}\red{}\purple{}\pink{}}}}[/tex]

[tex] \pmb{3x + 16} \\ \pmb{3 \times 2 + 16} \\ \pmb{6 + 16} \\ \boxed{ \tt \: ∠2 = 22 \degree }[/tex]

Find the measure of the missing angles

Answers

Answer:

b=119, and c=119

Step-by-step explanation:

this is because b+61 equal 180 degrees and b and c are congruent angles

The right answer of this question is B or D

Answers

D
Step by step explanation

A video game that usually costs $30.65 is marked down 60%. Kelvin determined that the new price of the game would be $18.39. Look at Kelvin’s work and find his error.

Answers

Kevin is incorrect because $18.39 is 60% of $30.65, meaning you would subtract $18.39 from $30.65 to get the actual price, which is $12.26. Hope this helps!

Gordan was thinking of a number. Gordan adds 2 then divides by 3 to get an answer of 1. What was the original answer?​

Answers

Answer:

1

Step-by-step explanation:

x is the number

x+2 is divided by 3

x+2 ÷ 3 =1

Multiple 3 on both sides

x=1

HELP
ASAP
!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

Area of the figure = area of semicircle + area of rectangle

Rectangle:

length = 11.25 in

width = 7.5 in

Area of rectangle = length * width

                            = 11.25 * 7.5

                            = 84.375 in²

Semicircle:

diameter =  width of the rectangle

d = 7.5 in

r = diameter 2 = 7.5/2 = 3.75 in

[tex]Area \ of \ circle = \dfrac{1}{2}\pi r^{2}\\\\[/tex]

                         [tex]=\dfrac{1}{2}*3.14*3.75*3.75\\\\= 22.08 \ in^{2}[/tex]

Area of the figure = 84.375 + 22.08

                                = 106.455

                                = 106.46 in²

Find a and b if the point p(6,0) and Q(3,2) lie on the graph of ax+ by=12

Answers

to get the equation of any straight line we only need two points off of it, hmmm let's use P and Q here and then let's set the equation in standard form, that is

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

[tex](\stackrel{x_1}{6}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{6}}}\implies \cfrac{2}{-3}\implies -\cfrac{2}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{-\cfrac{2}{3}}(x-\stackrel{x_1}{6})[/tex]

[tex]\stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{3(y-0)~~ = ~~3\left( -\cfrac{2}{3}(x-6) \right)}\implies 3y=-2(x-6) \\\\\\ 3y=-2x+12 \implies \stackrel{a}{2} x+\stackrel{b}{3} y=12[/tex]

The function f(x)=x^2+2x+6 is graphed in the xy-coordinate plane shown .Based on the graph of the function ,which of the following statements are true select all that apply

Answers

Unfortunately your graph is wrong(Correct one is attached)

Correct ones are

f is increasing while x<0 f is increasing while 0<x<1f is increasing while 1<x<3

Note

if you make the function y=-x^2+2x+6 then the rest two are correct

Answer:

f is increasing on the interval x < 0

f is increasing on the interval 0 < x < 1

Step-by-step explanation:

From inspection of the graph, the curve is increasing when x < 1 and the curve is decreasing when x > 1

Therefore, the following are true statements:

f is increasing on the interval x < 0f is increasing on the interval 0 < x < 1

2x-8+3x+2=4x+10+3x-6 what is X equaled too?
answer and explain plz i am lost!!!
HELP ASAP

Answers

Answer:

Step-by-step explanation:

2x-8+3x+2=4x+10+3x-6

5x-6=7x+4

minus 7x from both sides, add 6 to both dies

-2x=10

divide by -2

x=-5

The sides of a pentagon measure 109.7 meters and the apothem is 75.5 meters. Find the area of the pentagon.

Answers

Answer:

20705.875

Step-by-step explanation:

Area of a pentagon is 1/2 * P * A  p being the perimeter of the pentagon and a being the apothem.  1/2 * 548.5 * 75.5 equals 20705.875.  I'm almost positive this is correct.  So sorry if it's not.  Have a good day/night!

Olivia is making bead bracelets for her friends. She can make 3 bracelets in 15 minutes.Find the constant of proportionality in terms of minutes per bracelet.

Answers

Answer:

The constant of proportionality is 5 minutes per bracelet

Step-by-step explanation:

If x and y are proportion, then y = k x, where

k is the constant of proportionalityWe can find k by dividing y by x ⇒ k = [tex]\frac{y}{x}[/tex]

Let us solve our question

∵ Olivia is making bead bracelets for her friends

∵ She can make 3 bracelets in 15 minutes

We need to find the constant of proportionality in terms of minutes per bracelet, which means y represents the minutes and x represents the bracelet

∴ y = the time in minutes

∴ x = the number of bracelets

∵ y proportion with x

∴ k = [tex]\frac{y}{x}[/tex]

y = 15 and x = 3

∴ k = [tex]\frac{15}{3}[/tex]

∴ k = 5

The constant of proportionality is 5 minutes per bracelet

Arnie is mixing red and yellow paints to make two different shades of orange. To make 1 cup of dark orange​ paint, he needs 7 ounces of red paint and 1 ounce of yellow paint. To make 2 cups of light orange​ paint, he needs 13 ounces of yellow paint and 3 ounces of red paint. Answer parts a and b.
a. Arnie buys a​ 32-oz can of red paint. Does he have enough red paint to make 3 cups of dark orange paint and 3 cups of light orange​ paint? Explain.
Yes.
The 3 cups of dark orange paint require
21
21 ​ounce(s) of red​ paint, and the 3 cups of light orange paint require
9
4.5 ​ounce(s) of red paint. Arnie needs
30
25.5 ​ounce(s) of red paint in​ total, so the​ 32-oz can is
enough.
​(Type integers or​ decimals.)
b. Arnie decides to make 3 cups of dark orange paint and 3 cups of light orange paint. How many ounces of yellow paint does he​ need?
Arnie needs
4216
nothing ​ounce(s) of yellow paint. The 3 cups of dark orange require
3
3 ​ounce(s) of yellow​ paint, and the 3 cups of light orange require
391313
nothing ​ounce(s) of yellow paint.
​(Type integers or​ decimals.)

Answers

Answer:

Integers and decimals

Step-by-step explanation:

Soorry im too lazy to read all this

Answer:

Arnie is mixing red and yellow paints to make two different shades of orange. To make 1 cup of dark orange​ paint, he needs 7 ounces of red paint and 1 ounce of yellow paint. To make 2 cups of light orange​ paint, he needs 13 ounces of yellow paint and 3 ounces of red paint. Answer parts a and b.

a. Arnie buys a​ 32-oz can of red paint. Does he have enough red paint to make 3 cups of dark orange paint and 3 cups of light orange​ paint? Explain.

▼  

Yes.

No.

The 3 cups of dark orange paint require  

nothing ​ounce(s) of red​ paint, and the 3 cups of light orange paint require  

nothing ​ounce(s) of red paint. Arnie needs  

nothing ​ounce(s) of red paint in​ total, so the​ 32-oz can is  

▼  

enough.

not enough.

Step-by-step explanation:

IN
-
Change this fraction to a decimal:
9

Answers

Answer: 9 over 10

Step-by-step explanation:

which statement best represents the relationship in the scatterplot below?

Answers

Answer:

C. As the children's weight increased, their height decreased

Step-by-step explanation:

This is your answer becuse you can see here that the height is increasing as the weight is increasing

Thanks!

Mark me brainliest!

What is the following product?
3V2(5V6-7V3)

Answers

Answer:

st-2f u

Step-by-step explanation:

so the essay 2+1=2

35% of the tickets sold at a school carnival were early-admission tickets. If the school sold 40 tickets in all, how many early-admission tickets did it sell?

Answers

Answer:14

Step-by-step explanation:440 X .35 = 114. You have tto Turn 35% into a decimal. Move over 2 times now you get .35

Please help asap
find 140% of 82

Answers

Answer:

114.8

Step-by-step explanation:

Given that the area of a rectangle is 4 2/3 in and the is 1 1/2 find the width

Answers

Answer:

3 1/9

Step-by-step explanation:

divide 4 2/3 and 1 1/2 together to find width

Luigi is an Urban Planner. As an independent contractor he charges a $140 fee plus $25 per hour for each contract with the city.

Write a function to represent this scenario where y represents the total amount he changes for a project and x represents the number of hours worked on a project.

(Please also tell me the "Amount earned for 10. hours of work")

PLEASE ANSWER THIS I NEED HELP!!!

Answers

I hope this help !!!!!!!!!

The total amount earned in 10 hours of work is $390.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Given that, an independent contractor he charges a $140 fee plus $25 per hour for each contract with the city.

Here, y represents the total amount he changes for a project and x represents the number of hours worked on a project.

Now, y=140+25x

Amount earned for 10 hours of work is

y=140+25×10

= 140+250

= $390

Therefore, the total amount earned in 10 hours of work is $390.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ3

HELP??????? I DO NOT UNDERSTAND

Answers

Answer:

y ≥ 1, (meaning y can be greater than 1/infinite numbers or just 1)

x ≥ 2, (meaning x can be greater than 2/infinite numbers or just 2)

10^7/10^5 as a single exponent

Answers

10(7) = 10x10x10x10x10x10x10
10(5)=10x10x10x10x10

Solve for x in the following numbers
4x squared + 1 =4x

Answers

Answer: x = 1/2

Step-by-step explanation: Set it equal to zero by subtracting 4x from both sides:

4x² - 4x + 1 = 0

Now, factor it:

(2x - 1)(2x - 1)

Set each one equal to zero, but since they’re the same, you only need to do it once:

2x - 1 = 0

Add 1 to both sides:

2x = 1

Divide both sides by 2:

x = 1/2

Hope this helps!

Answer:

x=1/2

Step-by-step explanation:

4x^2+1=4x

or,4x^2-4x+1=0

or,(2x)^2 - 2*2*x+(1)^2 =0

or,(2x-1)^2 =0

or,2x-1 =0

or,2x=1

Therefore, x=1/2

A rental car company charges $77.50 per day to rent a car and $0.10 for every mile driven. Sydney wants to rent a car, knowing that:

Answers

Answer:

Step-by-step explanation:

answer: owen can afford to keep and drive the car for 4 days.

The total owing on the car rental is R(d) = ($77.25/day)d + ($0.12/mile)m ≤ $330.  Substitute 1 for d (that is, the rental is for 1 day) and 175 for m:

R(d) = ($77.25/day)(d days) + ($0.12/mile)(175 miles) ≤ $330

    =   $77.25d                   + $21     ≤ $330

This simplifies to   $77.25d + $21 ≤ $330, or

                                $77.25d ≤ $309

Solving this by dividing both sides of the above equation by $77.25, we get                          

d = ($309)/($77.25) = 4

Solve forx in the literal equation -16 = xy + z.
Plzzzz help

Answers

Answer:

X=[tex]\frac{-16-Z}{Y}[/tex]

Step-by-step explanation:

XY+Z=-16

Subtract both sides by Z

XY=-16-Z

Divide both sides by Y

X=[tex]\frac{-16-Z}{Y}[/tex]

I dont know ja ido aleo lsos lapps lsoakd kaosl hwhgn dhisjd jskenf chzjsjf

find the percentage increase in area of a triangle if its each side is doubled​

Answers

First of all, to find the area of a triangle you multiply the base * height and divide the result by two (2).

Let's use a triangle which sides are all 2 inches. To find the area, you do 2*2/2  which equals 2.

Now, double each side and each side of the triangle is now 4.

We do 4*4/2 which now equals 8.

The percentage increase from 2 --> 8 is 600%.

The percentage of the old area to the new area is 800%

ANSWER: 600%

Which quadratic function is best represented by this graph?

A.) f(x)=x^2−6x−8
B.) f(x)=x^2−6x+8
C.) f(x)=x^2+8
D.) f(x)=x^2+6x+8

Answers

? Pick one graph

Step-by-step explanation:

There's no graph visible

f(x) is the same as y

Hope this helps!

Examplelt: A wall of length 10 m was to be built across an open ground. The height of the wall is 4 m and thickness of the wall is 24 cm. If this wall is to be built up with bricks whose dimensions are 24 cm x 12 cm x 8 cm, how many bricks would be required?​

Answers

Answer :

4167 bricks.

Explanation :

Since the wall with all its bricks makes up the space occupied by it, we need to find the volume of the wall, which is nothing but a cuboid.

Here,

[tex]{\qquad \dashrightarrow{ \sf{Length=10 \: m=1000 \: cm}}}[/tex]

[tex]\qquad \dashrightarrow{ \sf{Thickness=24 \: cm}}[/tex]

[tex]\qquad \dashrightarrow{ \sf{Height=4 m=400 \: cm}}[/tex]

Therefore,

[tex]{\qquad \dashrightarrow{ \bf{Volume \: of \: the \: wall = length \times breadth \times height}}}[/tex]

[tex]{\qquad \dashrightarrow{ \sf{Volume \: of \: the \: wall = 1000 \times 24 \times 400 \: {cm}^{3} }}}[/tex]

Now, each brick is a cuboid with Length = 24 cm, Breadth = 12 cm and height = 8 cm.

So,

[tex]{\qquad \dashrightarrow{ \bf{Volume \: of \: each \: brick = length \times breadth \times height}}}[/tex]

[tex]{\qquad \dashrightarrow{ \sf{Volume \: of \: each \: brick = 24 \times 12 \times 8 \: {cm}^{3} }}}[/tex]

So,

[tex]{\qquad \dashrightarrow{ \bf{Volume \: of \: bricks \: required = \dfrac{volume \: of \: the \: wall}{volume \: of \: each \: brick} }}}[/tex]

[tex]{\qquad \dashrightarrow{ \sf{Volume \: of \: bricks \: required = \dfrac{1000 \times 24 \times 400}{24 \times 13 \times 8} }}}[/tex]

[tex]{\qquad \dashrightarrow{ \sf{Volume \: of \: bricks \: required = \bf \: 4166.6} }}[/tex]

Therefore,

The wall requires 4167 bricks.

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