On Tuesday, Jaheim and three of his friends ate dinner at a restaurant where meals cost $12 per person, but are 25% off every Tuesday. The tax on their meal was 8%, and they left a tip that was 20% of the pre-tax price.

Note that taxes are calculated based on the discounted cost of the meal before adding a tip, and tips are calculated based on the discounted cost of the meal before adding tax.


Part A. Enter an expression that can be used to find the cost of one person’s meal, not including tax or tip, on a Tuesday.


Part B. How much did the four friends spend in all on dinner? Round your answer to the nearest penny

Answer:

-7

Step-by-step explanation:

In the equation of ax² +bx +c= 0, the discriminant (denoted by D) is [tex]\textcolor{steelblue}{b^{2} - 4ac }[/tex].

-2x² -x -1= 0

Let's identify the values of a, b and c in this equation! It is important to account for the negative sign too.

a= -2, b= -1, c= -1

D

= (-1)² -4(-2)(-1)

= 1 -4(2)

= 1 -8

= -7

Implications of discriminant

Here, we will apply the concept of Vertically Opposite angle property and central angle property ;

So here, as b is vertically opposite to the angle whose measure is 20° . So , b will also be 20°

And, if we see the angle c, so angle vertically opposite to c will also be c, and as central angle is of 360° , so ;

[tex]{:\implies \quad \sf c+c+20^{\circ}+20^{\circ}=360^{\circ}}[/tex]

[tex]{:\implies \quad \sf 2c+40^{\circ}=360^{\circ}}[/tex]

[tex]{:\implies \quad \sf 2c=360^{\circ}-40^{\circ}}[/tex]

[tex]{:\implies \quad \sf 2c=320^{\circ}}[/tex]

[tex]{:\implies \quad \sf c=\dfrac{320^{\circ}}{2}=160^{\circ}}[/tex]

Hence, we can conclude that ;

Answer:

$27

Step-by-step explanation:

135 / 5 = 27

each friend paid $27.

Answer:

[tex]x=-10[/tex]

Step-by-step explanation:

[tex]2(x-3)+7-3x=11[/tex]

[tex]2\left(x-3\right)+7-3x-7=11-7[/tex]

[tex]2\left(x-3\right)-3x=4[/tex]

[tex]-x-6=4[/tex]

[tex]-x-6+6=4+6[/tex]

[tex]-x=10[/tex]

[tex]\cfrac{-x}{-1}=\cfrac{10}{-1}[/tex]

[tex]x=-10[/tex]

~

Answer:

1) 60

2) 80

3) 90

step by step explanation

so sorry

Answer:

its 100 because 6+24+18+20+32=100

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

If you’re looking for in total, then it’s 100.

abcdefghijklmnopqrstuvwxyz

Answer:

150 miles = 2.5 hours x speed2.5 hours =150 miles/speedspeed = 150 miles/2.5 hours

Hope this helps :)

Answer:

(4,30)

Step-by-step explanation:

3x+y=42

y=8x-2

3x+8x-2=42

11x-2=42

+2 +2

11x=44

÷11 +11

x=4

Answer:

Measure of side a: 3

Measure of side b: 4

Measure of side c: 5

Side a/c: 3/5

Side b/c: 4/5

Side a/b: 3/4

Step-by-step explanation:

Answer:

Answer
See answers below

I hope this helps you

:)

Answer:

yehhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answer:

the correct answer is 65 degrees

Step-by-step explanation:

The angle is 65 degrees

Answer:

it is 75°

Step-by-step explanation:

so do you see the red line? it is in between 70° and 80° which means it's 75°

The situation is an exponential function of exponential growth with a factor of 1.034 and the initial amount of $5,250.

Compound interest is when both the amount invested and the interest already accrued earn an interest. This means that when there is a compound interest, the amount invested increases by a certain amount.

The equation that can be used to represent compound interest is:
FV = PV(1 + r)^n

Where

To learn more about compound interest, please check: https://brainly.com/question/26367706

Answer:

x = 4.5y

Step-by-step explanation:

x = pudding

y = teaspoons

y = 1 so 1 x 4.5 will get you 4.5 teaspoons of sugar

Answer:

4188.79

Step-by-step explanation:

Formula for volume of a sphere: let V be volume and r be diameter:

V=(4/3)pi(r)^3

Pi can be written as 3.141593

Solution:

Step-1: Find the data.

Data obtained (Smallest to biggest):

Step-2: Count the number of digits.

Step-3: Use the formula "Total digits/2".

The 9th digit in the data is the median.

Step-4: Revise the data.

The median value of the line plot is 110.

Answer:

[tex]110 = \text{median}[/tex]

Step-by-step explanation:

We can see that there are:

[tex]\rightarrow \ \ \text{1 "x" on 70} \ \ \ \rightarrow \ \ 70}[/tex]

[tex]\rightarrow \ \ \text{1 "x" on 80} \ \ \ \rightarrow \ \ 80}[/tex]

[tex]\rightarrow \ \ \text{2 "x" on 90} \ \ \ \rightarrow \ \ 90,\ 90}[/tex]

[tex]\rightarrow \ \ \text{3 "x" on 100} \ \ \rightarrow \ \ 100,\ 100, \ 100}[/tex]

[tex]\rightarrow \ \ \text{4 "x" on 110} \ \ \rightarrow \ \ 110,\ 110, \ 110, \ 110}[/tex]

[tex]\rightarrow \ \ \text{4 "x" on 120} \ \ \rightarrow \ \ 120,\ 120, \ 120, \ 120}[/tex]

[tex]\rightarrow \ \ \text{2 "x" on 130} \ \ \rightarrow \ \ 130,\ 130[/tex]

[tex]\rightarrow \ \ \text{1 "x" on 140} \ \ \rightarrow \ \ 140[/tex]

Now, let's put the values in descending form (Greatest --- Smallest). Start from the bottom and go to the top.

[tex]\rightarrow140, 130, 130, 120, 120, 120, 120, 110, 110, 110, 110, 100, 100, 100, 90, 90, 80, 70[/tex]

To find the median of the line plot, we need to check how many numbers are in total. Then, use the correct formula to find out which digit is the median. Lastly, use the "descending" data to find the median.

[tex]\rightarrow 1 + 1 + 2 + 3 + 4 + 4 + 2 + 1[/tex]

[tex]\rightarrow 7 + 11[/tex]

[tex]\rightarrow 18 \ \text{digits}[/tex]

Since 18 is an even number, the correct formula to use is [tex]\frac{n}{2}[/tex], where n is the total digits in the line plot.

[tex]\rightarrow \dfrac{n}{2}[/tex]

[tex]\rightarrow \dfrac{18}{2} = 9^{\text{th}}[/tex]

Now, let's take a look at our "descending" data to see which is the median. Remember, the ninth digit is the median.

[tex]140, 130, 130, 120, 120, 120, 120, 110, \boxed{\bold{110}}, 110, 110, 100, 100, 100, 90, 90, 80, 70\\[/tex]

Thus, 110 is the median.

Answer:

Here

Step-by-step explanation:

Input for x on first input is 7!      2*7+4

Input for x on second input is 9     2*9+4

Input for x on third input is 15      2*15+4

Answer:

(7, 18) (9, 22) (15, 34)

Step-by-step explanation:

so all you have to do is substitute the values given

substitute the input into x

wait a minute.. its output so what you ACTUALLY have to do is

18 = 2x + 4

then solve for the inputs

14 = 2x

x = 7

22 = 2x + 4

18 = 2x

x = 9

34 = 2x + 4

30 = 2x

x = 15

Answer:

Step-by-step explanation:

r = 4 units

Given shape is 3/4 part of circle.

Area of the shape = [tex]\dfrac{3}{4}\pi r^{2}[/tex]

                               [tex]= \dfrac{3}{4}*3.14*4*4\\\\\\=3*3.14*4[/tex]

                                = 37.68 square units

Answer: domain (7,8)

Step-by-step explanation: range is the Y-value and domain is the x-value

Answer:

A. Range

The value 8 is the range

Step-by-step explanation:

The range is all y-values or outputs of a function.

Answer: I'm sorry I could not give you the actual answer but I narrowed it down to either B or C.

Answer:

151100 because hundred contain two zeros

Answer:

should be A

Step-by-step explanation:

Answer:

the answer is 3 3/7 or 24/7

Answer:

no

Step-by-step explanation:

This answer is no because -5 and 7 are 12 units apart

Answer:

I guess 342 is the answer.

Step-by-step explanation:

Because the sum of all angles of a ️(triangle) is 360 degree.

Answer:

Step-by-step explanation:

(isosceles triangle base angles are equal)

(all angles of triangle are equal to 180)

38 + x + x = 180

2x = 180 - 38

2x/2 = 142/2

x = 71

Answer:

324 inches

Step-by-step explanation:

18 x 18 or 18² is 324

Answer:

324 square inches

Step-by-step explanation:

just multiply the length times the width and ABRACADABRA!!!!!!! theres your answer

Answer:

six miles total

Step-by-step explanation:

adding the 4.25s together and count how many you added till you reach the price

Mia took the taxi ride for 7 miles not including the tip and pickup fee.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, that Mia took a taxi from her house to the airport.

The taxi company charged a pick-up fee of $1.30 plus $4.25 per mile. The total fare was $31.05.

∴ Her taxi charge excluding the pickup fee is,

= (31.05 - 1.30) dollars.

= 29.75 dollars.

So, the no. of miles she rides is,

= (29.75/4.25) dollars.

= 7 miles.

learn more about unitary method here :

https://brainly.com/question/28276953

#SPJ2

will recommend to keep in touch with picture as name of sides are based on it!.

It may not get messy so i will divide whole answer into small parts.

Now Let's move to solution :)

[tex] \\ \\ [/tex]

[tex] \gray{ \bf \dag \frak{Part 1}}[/tex]

In this part we will just focus on Semicircle with diameter 22 ft.

Given :-

[tex] \\ [/tex]

To find:-

[tex] \\ [/tex]

So first of all let's convert diameter into radius.

we know:-

[tex] \boxed{ \rm{}radius = \frac{Diameter}{2} }[/tex]

So:-

[tex] \\ [/tex]

[tex] \hookrightarrow\sf{}radius = \dfrac{Diameter}{2} [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow\sf{}radius = \dfrac{22}{2} [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow\sf{}radius = \dfrac{2 \times 11}{2} [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow\sf{}radius = \dfrac{\cancel2 \times 11}{\cancel2} [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow\sf{}radius = \dfrac{11}{1} [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow\sf{}radius = 11[/tex]

[tex] \\ \\ [/tex]

Now let's find area of semicircle!

We know:-

[tex] \boxed{ \rm Area~of~semicircle = \frac{\pi {r}^{2} }{2} }[/tex]

[tex] \\ [/tex]

so:-

[tex] \\ [/tex]

[tex] \dashrightarrow\sf Area~of~semicircle _1= \dfrac{\pi {r}^{2} }{2} [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Area~of~semicircle _1= \dfrac{22 \times {11}^{2} }{7 \times 2} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Area~of~semicircle _1= \dfrac{\cancel{22} \times {11}^{\cancel2} }{7 \times \cancel2} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Area~of~semicircle _1= \dfrac{11\times {11}^{\cancel2} }{7} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Area~of~semicircle _1= \dfrac{1331}{7} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\bf Area~of~semicircle _1= 190.14 \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \gray{ \bf \dag \frak{Part 2}}[/tex]

So in this part we will find area of other semicircle.

Now as u can see BC isn't given , but AC and AB are given.

So let's find BC:-

[tex] \\ [/tex]

Now we got the diameter, so let's change it into radius.

we know:-

[tex] \boxed{ \rm{}radius = \frac{Diameter}{2} }[/tex]

[tex] \\ [/tex]

so :-

[tex] \hookrightarrow\sf{}radius = \dfrac{Diameter}{2} [/tex]

[tex] \\[/tex]

[tex] \hookrightarrow\sf{}radius = \dfrac{8}{2} [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow\sf{}radius = \dfrac{2 \times 4}{2} [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow\sf{}radius = \dfrac{\cancel2 \times 4}{\cancel2} [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow\sf{}radius = 4[/tex]

[tex] \\ [/tex]

Now let's find area of semicircle!

We know:-

[tex] \boxed{ \rm Area~of~semicircle = \frac{\pi {r}^{2} }{2} }[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow\sf Area~of~semicircle _2= \dfrac{\pi {r}^{2} }{2} [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Area~of~semicircle _2= \dfrac{22 \times {4}^{2} }{7 \times 2} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Area~of~semicircle _2= \dfrac{\cancel{22} \times {4}^{\cancel2} }{7 \times \cancel2} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Area~of~semicircle _2= \dfrac{11\times {4}^{2} }{7} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Area~of~semicircle _2= \dfrac{11\times 16}{7} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Area~of~semicircle _2= \dfrac{176}{7} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\bf Area~of~semicircle _2= 25.14 \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \gray{ \bf \dag \frak{Part 3}}[/tex]

Now Finally in this part we'll add both the areas of these semicircles.

Let :-

[tex] \\ \\ [/tex]

[tex] \sf: \implies Area~of~figure=A_1+A_2 \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \sf: \implies Area~of~figure=190.14+25.14 \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \bf: \implies Area~of~figure=215.28 {ft}^{2} \\ [/tex]

[tex] \\ \\ [/tex]

Answer:

to find the volume of a cylinder formulae is pi r² x Height

Step-by-step explanation:

because to find the volume of any object we have to multiply the area of the base and the height

now as the base of the cylinder is circle we have to fulfill the area of circle with the height of the cylinder

hence

volume

of

the

cylinder = area of circle x height

= pi r² x Height