Anna enjoys dinner with her family at a restaurant in Washington, D.C. She leaves a 15% tip on the price of her meal. She also has to pay a 10% sales tax on her meal, which is calculated on the pre-tip amount. She spends a total of $27.50 for dinner, including tax and tip. What is the cost of her dinner without tax and tip? Show your work.

Answers

Answer 1

Answer:

$22

Step-by-step explanation:

tax and the tip increase the price paid for the meal

she paid 15 + 10 = 25% more than the price of her meal

p = original price

1.15 x p = 27,50

p = 27.50 / 1.15 = 22


Related Questions

PLZZZZ HELPPPPPPPPPPPPPPPPPPP ASAPPPPPPP

Answers

Answer:

D. 15π

Step-by-step explanation:

Circumference is equal to diameter times pi,

so C = 15π

The price of fruits per kg are given below- Watermelon Rs 18.50 Cherry Rs 72 Grapes Rs 120.60 Apples Rs 78.40 Karan bought 412 kg watermelon, 1 kg 200g cherries,250g grapes and 134 kg apples .He gave a Rs 500 note to the shopkeeper .How much money did he get back?

Answers

Answer:

[tex]X=-2.74*10^{-7}Rs[/tex]

Step-by-step explanation:

From the question we are told that:

Table for price per Kg

 Watermelon Rs 18.50

 Cherry Rs 72

 Grapes Rs 120.60

 Apples Rs 78.40

Karan Bought:

 412 kg watermelon

 1 kg 200g cherries

 250 g grapes

 134 kg apples

Generally the equation for Total Price of Fruits Bought is mathematically given by

\sum (Price Rs* Weight kg )

 [tex]\sum (P* W)=(412*18.5)+(1.2*72)+(0.25*120.60+(134*78.40))[/tex]

 [tex]\sum (P* W)=27374289.78[/tex]

Therefore the Amount of Money he gets back is

 [tex]X=500-\sum (P* W)[/tex]

 [tex]X=-2.74*10^{-7}Rs[/tex]

Therefore

He owes the shop keeper 2.74 million Rs

Which equation could be used to find the length of the hypotenuse?

Answers

Answer:

The first one. 6 squared + 11 squared= c squared

10. Tamara wants to find the height of a tree outside her home. Using her clinometer, she measures the slope angle from 8 feet away from the base of the tree and gets an angle of 40o . If Tamara's eye level is 5 feet above the ground, how tall is the tree (rounded to the nearest tenth of a foot)? Show your work.

Answers

Answer:

11.7 ft

Step-by-step explanation:

Remember the notation SOHCAHTOA

We would be using tan because we have been given the adjacent and we are to determine the opposite value

tan 40 = opposite / adjacent

0.8391 = opposite / 8

opposite = 0.8391 x 8

6.7

Tamera is 5 ft above ground = 6.7 + 5 = 11.7 foot

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

Please find attached a diagram explaining this question

if a and b are roots of 3x2-6+2=0then find a+b​

Answers

Answer:

a + b =  2

Step-by-step explanation:

Given

ax² + bx + c = 0 ( equation in standard form )

Then the sum of the roots = - [tex]\frac{b}{a}[/tex]

3x² - 6x + 2 = 0 ← is in standard form

with a = 3, b = - 6 , then

sum of roots = - [tex]\frac{-6}{3}[/tex] = 2

Answer:

[tex]I \ think \ it \ is \ 6x\\\\3x^2 - 6x +2 = 0\\\\[/tex]

[tex]x = \frac{-b \pm \sqrt{b^2 - 4*a*c} }{2a} \\\\a = 3, b = -6, c = 2\\\\x = \frac{-b + \sqrt{b^2 - 4*a*c} }{2a}, x = \frac{-b - \sqrt{b^2 - 4*a*c} }{2a} \\\\ \\\\x = \frac{6 + \sqrt{36 - 24} }{6} , x = \frac{6-\sqrt{36 -24} }{6} \\\\[/tex]

[tex]x = \frac{6+\sqrt{12} }{6} , x = \frac{6-\sqrt{12} }{6} \\\\x = \frac{3+\sqrt{3} }{3} , x = \frac{3-\sqrt{3} }{3}[/tex]

[tex]Let \ a = \frac{3 + \sqrt{3} }{3} , b = \frac{3-\sqrt{3} }{3} \\\\a + b = \frac{3+\sqrt{3} }{3} + \frac{3-\sqrt{3} }{3} = \frac{3+\sqrt{3} +3-\sqrt{3} }{3} = \frac{6}{3} = 2[/tex]

Help me solve this !!! Math problem!

Answers

Answer:

The probability that she would succeed is 1/2

Step-by-step explanation:

Firstly. we have to calculate the area of the board

That would be the area of the rectangle

This is the product of the base and the height which is 50 cm * 40 cm = 2,000 cm^2

The area of the triangle is the area of the base and the height divided by 2

we have this as;

1/2 * 50 * 40 = 1,000 cm^2

The probability would be the area of the triangle divided by the area of the board

This is because she is aiming at the triangle while having the whole board to work against

This is 1,000 cm^2/2000 cm^2 = 1/2

What is the slope of these two points (5,-11) and (25,9)?

Answers

Answer:

[tex]slope = \frac{(9 - ( - 11))}{(25 - 5)} \\ = \frac{20}{20} \\ = 1[/tex]

Esmeralda Hasn't backed it in the shape of the screw is side of the magnet to 3 inches on what is the perimeter of her magnet

Answers

Answer:

12 INCHES

Step-by-step explanation:

Esmeralda has as magnet in the shape of a square each side is 3 inches long what is the perimeter?

A square is a quadrilateral with four equal sides.

Characteristics of a square includes:

• The diagonals bisect each other at 90°.

• Opposite sides parallel and of equal length

• The four angles of a square are equal.

perimeter of a square = 4 x length

4 x 3 = 12 inches

please help i need it real quick and i don't understand it

Answers

Answer:

3m × 4m:

Yellow flower: 12

Bush: 6

Total: 18

3m × 5m:

Yellow flower: 15

Bush: 8

Total: 23

Step-by-step explanation:

Which choice is equivalent to the expression shown?

2(x+4)6 + 13
Question options:

A. x3+33

B. 2x9+59

C. 2x9+99

D. x3+53

Answers

Answer:

b

Step-by-step explanation:

danayia has some candy ms.miller gaver her 5 pieces of candy in addition to what she already had. ms.naltner doubled the amount of candy she had. danayia then had 20 pieces of candy.how much candy did danayia start with?

Answers

Answer:

She started with 15

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

The diameter is the length of all the way across the circle. The radius is half of that.

the first circle

radius=17cm

diameter =17×2=34cm

second circle

radius=25mm

diameter =50mm

hopefully that helped

12+[ 9 4/5 - ( 1.5 + 2 2/10)]



Someone please help me?​

Answers

Answer:

18.1

The thing You NEEDED to do

Simplify or Evaluate Your Answer

Help me with this question, please!

Answers

Answer:

3,432 m²

Step-by-step explanation:

The amount of aluminum in square meters needed to make the mailboxes = 1863(surface area of each mailbox)

Surface area of each mail box = ½(surface area of cylinder) + (Surface area of rectangular prism/box - area of the surface of the box that joins the half-cylinder)

✔️Surface area of ½-cylinder = ½[2πr(h + r)]

r = ½(0.4) = 0.2 m

h = 0.6 m

π = 3.14

Surface area of ½-cylinder = ½[2*3.14*0.2(0.6 + 0.2]

= 0.628(0.8)

Surface area of ½-cylinder = 0.5024 m²

✔️Surface area of the rectangular box/prism = 2(LW + LH + WH)

L = 0.6 m

W = 0.4 m

H = 0.55 m

Surface area = 2(0.6*0.4 + 0.6*0.55 + 0.4*0.55)

Surface area of rectangular box = 1.58 m²

✔️Area of the surface joining the half cylinder and the box = L*W = 0.6*0.4 = 0.24 m²

✅Surface area of 1 mailbox = (0.5024) + (1.58 - 0.24)

= 0.5024 + 1.34

= 1.8424

Amount of aluminum needed to make 1863 mailboxes = 1863 × 1.8424 = 3,432.3912

= 3,432 m²

please help me I need itttttttttt!!!!!!!!!​

Answers

Answer:

x=115°

y=65°

Hope it helped<3

x = 115° [corresponding angles]

y = 180° - x = 180° - 115° = 65° [linear pair]

Just help, my brain shutdown and its currently 9:51, so help me asap. <3

(05.05) Polygon ABCD has the following vertices:

A(−5, 4), B(1, 4), C(6, −4), and D(−5, −4)

Calculate the area of the polygon.

A) 48 units squared
B) 53 units squared
C) 68 units squared
D) 88 units squared

Answers

Answer:

B hope this helps!

Step-by-step explanation:

Trust <3

Answer:

The first thing you should do is draw the points in the Cartesian plane and then join them to find the polygon.

The searched polygon can be seen in the attached image.

The area of the polygon will be the area of the square plus the area of the triangle.

At = (6) * (8) + (1/2) * (5) * (8) = 68

At = 68

answer

the area of the polygon is 68units ^ 2

2. A right triangle has a hypotenuse of 15 cm. What are possible lengths for the two legs of the triangle? Explain your reasoning.​

Answers

Answer:

Two possible lengths for the legs A and B are:

B = 1cm

A = 14.97cm

Or:

B = 9cm

A = 12cm

Step-by-step explanation:

For a triangle rectangle, Pythagorean's theorem says that the sum of the squares of the cathetus is equal to the hypotenuse squared.

Then if the two legs of the triangle are A and B, and the hypotenuse is H, we have:

A^2 + B^2 = H^2

If we know that H = 15cm, then:

A^2 + B^2 = (15cm)^2

Now, let's isolate one of the legs:

A = √( (15cm)^2 - B^2)

Now we can just input different values of B there, and then solve the value for the other leg.

Then if we have:

B = 1cm

A = √( (15cm)^2 - (1cm)^2) = 14.97

Then we could have:

B = 1cm

A = 14.97cm

Now let's try with another value of B:

if B = 9cm, then:

A = √( (15cm)^2 - (9cm)^2) = 12 cm

Then we could have:

B = 9cm

A = 12cm

So we just found two possible lengths for the two legs of the triangle.

Which algebraic expression represents the difference of e squared and twenty-one? A. E2+21 b.21 times e2 c. E2 - 21 d. 21 divided by e2

Answers

Answer: c. E2 - 21

Step-by-step explanation:

difference means to subtract

Now, e squared=E² and twenty-one=21

Therefore the difference of e squared and twenty-one is  E2 - 21

Shows the termination of the parking lot of Helen healings health food store parking lot is how many square yards

Answers

Answer:

1100 yd²

Step-by-step explanation:

The parking lot can be divided into 2 rectangles :

Area of a rectangle = Length * Width

First rectangle :

Dimension = 40 yards by 20 yards

Area = 40 * 20 = 800 yd²

Rectangule 2 :

30 yards by 10 yards

Area = 30 * 20

Area = 30 * 10 = 300 yd²

Total area of parking lot :

800 + 300 yd²

= 1100 yd²

I need the answer ASAP

Answers

Step-by-step explanation:

the correct answer is A

15 x 35

Answer:

A

Step-by-step explanation:

let width be w , then length l = w + 20

perimeter = 2w + 2l

                 = 2w + 2(w + 20) , so

2w + 2w + 40 = 100

4w + 40 = 100 ( subtract 40 from both sides )

4w = 60 ( divide both sides by 4 )

w = 15 and l = 15 + 20 = 35

Dimensions are 15 ft by 35 ft → A

Answer the statistical measures and create a box and whiskers plot for the following set of data.

1, 1, 6, 10, 12, 13, 13, 14, 16, 19

Min:

Q1:

Med:

Q3:

Max:

Answers

Answer:

please check explanations

Step-by-step explanation:

Min stands for the minimum value

This is the smallest value

Looking at the numbers, the minimum value is 1

Q1 is the lower quartile

We have the formula as;

Q1 = (n + 1)/4

where n is the number of terms and that is 10

Q1 = (10 + 1)/4 = 11/4 = 2.75

This is approximately 3 and that means the the lower quartile is the third term and that is 6

Median is the middle value and that is;

(12 + 13)/2 = 25/2 = 12.5

Q3 is the third quartile and that is;

Q3 = 3(n + 1)/4 = 33/4 = 8.25

The third quartile is the 8th term and that is 14

Max is the highest number and that is 19

Select the correct answer.
Use this tax table to find how much tax you need to pay on a taxable income of $40,000.



A.
$6,423.75
B.
$8,150.50
C.
$12,536.25

Answers

B is the answer to this

Y varies directly as x. If x = 15 when y = 20, find x when y = 30.

Answers

Answer:

22.5

Step-by-step explanation:

y=kx

20=k15

k=1•33

30=1•33x

x=22•5

Jasmine, multiply your age by 3 and add 6. Then multiply this sum by 2. James, multiply your age by 2 and add 4. Then multiply this sum by 3. I predict you will both get the same number!

Answers

Expression for Jasmine → 2(3x + 6)
Expression for James → 3(2x + 4)

Hope I helped have a good day !

HELP
In complete sentences, explain why correlation does not prove causation. Please have at least 3 complete sentences with proper punctuation, grammar, and capitalization.​

Answers

Answer:

Correlation doesn't prove causation because just because two things correlate does not necessarily mean that one causes the other.It's easy to think that just because two things seem related, that one must be the cause of the other. But that can be a foolish and sometimes dangerous assumption

please help me ill give you the crown thing if its right

Answers

24.75
ft.
Explanation:
We essentially have the following ratio:
4
9
:
11
x
where
x
is the length of the actual billboard.
We can solve this by cross-multiplying. We get
4
x
=
99
Dividing by
4
, we get
x
=
99
4
, or
24.75
ft.
Hope this helps!

Answer:

C 22cm  I really hope this helps and is right! Sorry if its wrong

Step-by-step explanation:

:)

Help me with this hw please

Answers

Answer:

12 = 3 + p

Step-by-step explanation:

She has a total of 12 pencils

3 of them are red

The rest are "p"

p + 3 must equal 12 because she has a total of 12 pencils consisting of 3 red and "p" as the rest

If you flip a coin 30 times, what is the best prediction possible for the number of times it will land on tails?

Answers

Answer:

15 times i think

Step-by-step explanation:

15 times

A coin has a 50% to land on tails so 50% of 30 is 15 :)

Which expression is equivalent to 5x+10y-15
5(x-2y-3)
5(x+2y-10)
5(x+2y-3)
5(x+2y-15)

Answers

5(x+2y-3) is the right answer

Whenever w is an integer greater than 1, logw w^2/w^6=?
-4
-3
-1/3
1/3
3

Answers

Answer:

Option (1)

Step-by-step explanation:

Given expression is,

[tex]\text{log_w(\frac{w^2}{w^6})}[/tex][tex]\text{log}_w(\frac{w^2}{w^6} )[/tex]

Let the given expression is equal to y.

[tex]\text{log}_w(\frac{w^2}{w^6} )=y[/tex]

By applying logarithmic rule,

[tex](\frac{w^2}{w^6} )=w^y[/tex]

[tex]w^2\times w^{-6}=w^y[/tex]

[tex]w^{2-6}=w^y[/tex]

[tex]w^{-4}=w^y[/tex]

[tex]y=-4[/tex]

Therefore, value of the given expression [tex]\text{log}_w(\frac{w^2}{w^6} )=-4[/tex].

Option (1) will be the correct option.

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PLS SOMEONE HELP ME Beneatha's dream is to Which of the following is TRUE about county government in Florida? A. Counties vary widely in terms of size, population, and functions. B. Counties serve primarily as judicial districts. C. Counties get their authority from the Federal Government. D. Counties must operate under a charter. 1.) What is the difference between renewable and nonrenewable resources?2.) Explain why people need to begin using renewable resources instead of nonrenewable resources. middle school math pls explain answer IF YOU ANSWER CORECTLEY I WILL MARK YOU BRAINLIEST AND YOU WILL GET 70 POINTS!! can someone help me please? Help pls Spanish 3! Answer choices are listed in parentheses. plzzz help meeee this is the frist time i need help so plzz helppp ill give yall brinlist plzzz helppp What is the domain of the function y = l n (x + 2)A. x < -2B. x > -2C. x < 2D. x > 2 Plz help just this part A baby weighs 6.4 pounds at birth. At the end of ten months the baby has grown 2 1/2 times its birth weight. How many pounds did the baby weigh at the end of ten months? A gallon of gas costs $3.05 per gallon. Joey's car gets 35 miles per gallon on the highway and 27 miles per gallon in the city. Using thehighway, Joey drives at an average speed of 54 miles per hour, and it takes him 0.5 hours to get to work. The highway has one $1.25 toll.Using a city street route, Joey drives at an average speed of 36 miles per hour, and it takes him 1 hour to get to work.Which quantities would be used to determine the total cost for Joey to drive to work using the highway? Choose all that apply. A. 0.5 hours B. 1 hour C. $1.25 per car D. $3.05 per gallon E. 27 miles per gallon F. 35 miles per gallon G. 36 miles per hour H. 54 miles per hour Can animals and plants adapt to climate changes? help me with this pleaseeee The following data is on X=Automobile Stock per capita,P= Relative price of automobiles andId= Real disposable income per capitaYearsXtPtIdtYearsXtPtIdt19214.8120.9407.819378.34100551.219225.42111.2460.419387.78109.351119236.88100.6509.219397.72104.9547.919247.8490.9509.319408.2297.1578.819258.4181.7525.619419.17120.1642.719268.9392.6532.319427.42119719.119278.77105.6543.319435.79204.7741.619289.1391545.119444.45356.779819299.6995.1576.219453.51449.3787.219309.0985.9525.219464.05338.6743.219318.1102.4498.219475.29263.4696.419326.91107.9417.419486.1236.2721.219336.3495.6394.319498.07159.7696.719346.17107421.4195010.25161.8745.819356.53105.2475.2195111.46161.2743.919367.51109.3525.6195211.19169.4753.7a) Divide the data into four equal parts and obtain the regressionXt= + Pt + Idt + tfor each part. Apply Bartletts test to check the heteroscedasticity.b) Repeat part (a) for the regression ln Xt= + ln Pt + ln Idt + tand again apply Bartlett test and draw conclusion Find the area and round it to the nearest hundredth if necessary Please help me with this question!:)) Marcos was born in 1998. His grandmother was born forty-five years earlier. What year was Marcos' grandmother born? A. 2043 B. 2033 C. 1954 D. 1953 A solid piece of wood shaped as a cylinder with an 8-centimeter diameter is cut as shown. What is the surface area of the figure? Express the answer in terms of .96 + 64 cm296 + 80 cm296 + 112 cm296 + 128 cm2