A theater group made appearances in two cities. The hotel charge before tax in the second city was $500 higher than in the first. The tax in the first city was 4.5%, and the tax in the second city was 3.5% . The total hotel tax paid for the two cities was $317.50. How much was the hotel charge in each city before tax? First city: Second city:

Answers

Answer 1

Answer:

$3750 and $4250

Step-by-step explanation:

x + 500 = y

.045x + .035y = 317.50

.045x + .035(x + 500) = 317.50

.045x + .035x + 17.5 = 317.50

.08x = 300.00

x = 3750

y = 4250


Related Questions

What is function?write one example

Answers

A function is a relation between sets defined by a formation law. Examples:

[tex]F(x)=0[/tex]

[tex]F(x) =x[/tex]

[tex]F(x) = ax+b[/tex]

plzzzzz help meeee 10points!
Write as an algebraic expression: 6 less than the product of 4 and a number

Answers

Hi there! I know I'm a little late but, hopefully this helps!

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

"6 less than the product of 4 and a number" means:

4 × n - 6

Hurry help plz exam 05 :The following sphere has a diameter of 11 inches.

What is the volume of the sphere? Use 3.14 for it and round your answer to the nearest tenth.
O 5,572.5 in^3
O 696.6 in^3
O 174.1 in^3
O 126.6 in^3

Answers

Answer:

696.6 in³

Step-by-step explanation:

The formula for the volume of a sphere is 4/3πr³

The diameter of 11 in. is given. Therefore, the radius is 5.5 (11/2 = 5.5).

1. Set up the equation

4/3(3.14)(5.5³)

2. Solve

= 696.6 in³

Answer:

[tex]\boxed{Volume = 696.9 \ in.^3}[/tex]

Step-by-step explanation:

Diameter = 11 inches

Radius = 5.5 inches

Volume of sphere = [tex]\frac{4}{3} \pi r^3[/tex]

Where r = 5.5 inches

Volume = [tex]\frac{4}{3} (3.14)(5.5)^3[/tex]

Volume = [tex]\frac{4}{3} (3.14)(166.375)[/tex]

Volume = [tex]\frac{2090.7}{3}[/tex]

Volume = 696.9 in.³

Which of the following expressions can be used to find the area of a square with a side length of fraction 1 over 3 m?

Answers

Answer: A = (1m/3)^2 or A= (1/3)^2 m

Or A= (1/3)(1/3)

Step-by-step explanation:

No choices given, but it will look like one these answers.

The area of a square that has a side length of 1/3 meter is 1/9 square meter.

I hope this helps you.

Answer:

a= (1/3)(1/3)

Step-by-step explanation:

PLEASE HELP ME! I will not accept nonsense answers, but will give BRAINLIEST if you get it correct with solutions:)

Answers

Answer: B. He loses 1/5 of his points in the next crash

Plug in x = 0 to get y = 100(4/5)^0 = 100. He starts with 100 points

After x = 1 crash happens, he has y = 100(4/5)^1 = 80 points left. He lost 20/100 = 1/5 of his points after one crash.

It is the 3rd statement. I got it from process of elimination. The first 2 is incorrect because if Lou crashes once he loses 20 points but if he loses twice he loses 36 points. The last one is incorrect because this is an exponential equation. You don’t add, you multiply.

Zahra wants the equation below to have an infinite number of solutions when the missing number is placed in the box. Box (x minus 3) + 2 x = negative (x minus 5) + 4 Which number should she place in the box?

Answers

Answer:

It's -3

Step-by-step explanation:

I got it right on Edge 2020

A company has determined that its weekly profit is a function of the number of items that it sells. Which equation could represent the weekly profit in thousands of dollars, y, when the company sells x items? y squared = 4 x squared minus 100 y = negative x squared + 50 x minus 300 x = negative y squared minus 400 x squared = negative 6 y squared + 200

Answers

Answer:

B. y= -x^2 + 50x - 300

Step-by-step explanation:

Options given

A. y^2=4x^2 - 100

B. y= -x^2 + 50x - 300

C. x= -y^2 - 400

D. x^2= -6y^2 + 200

We are to find profits (y) function in thousands of dollars if the company sells x items.

We will use elimination method to eliminate the wrong options above in order to find the correct answer

Option A. y^2= 4x^2 - 100 is used to find the square of the profit function

Option B. y= -x^2 + 50x - 300 is used to calculate profit (y) function

Option C. x= -y^2 - 400 is for the calculation of the items x sold

Option D. x^2= -6y^2 + 200 is to find items x sold squared.

Since, we are required to find the profit (y) function, option A, C and D will be eliminated.

We are left with option B which is the correct answer to the question.

The weekly profits (y) function in thousands of dollars when the company sells x items is

B. y= -x^2 + 50x - 300

Answer:

B.

Step-by-step explanation:

I just took the quiz on edge

SOLVE EACH EQUATION BY TAKING SQUARE ROOTS. 1.) 3(x-5)^2=48 2.)2x^2-56=42

Answers

Answer:

see explanation

Step-by-step explanation:

(1)

3(x - 5)² = 48 ( divide both sides by 3 )

(x - 5)² = 16 ( take the square root of both sides )

x - 5 = ± [tex]\sqrt{16}[/tex] = ± 4 ( add 5 to both sides )

x = 5 ± 4

Thus

x = 5 - 4 = 1

x = 5 + 4 = 9

Solutions are x = 1, x = 9

(2)

2x² - 56 = 42 ( add 56 to both sides )

2x² = 98 ( divide both sides by 2 )

x² = 49 ( take the square root of both sides )

x = ± [tex]\sqrt{49}[/tex] = ± 7

Solutions are x = - 7, x = 7

Give the digits in the tens place and the tenths place.

12.05

Answers

The digit in the tens place is 1.

The digit in the tenths place is 0.

URGENT PLEASE HELP

1. Use the rules of divisibility to check which of the following
numbers are multiples of (are divisible by) 2,3,4,5,6, 8, 9 and 10
a) 552
b) 315
c) 620
d) 426​

Answers

a) 552 is a multiple of 2, 3, 4, 6 and 8
b) 315 is a multiple of 3, 5 and 9
c) 620 is a multiple of 2, 4, 5 and 10
d) 426 is a multiple of 2 and 3

Rules include:
Even numbers are divisible by 2.
If the sum of a number’s digits are divisible by 3, the number is divisible by 3.
Any number ending in 5 or 0 is divisible by 5.
Any number divisible by both 2 and 3 is divisible by 6.
If the sum of a number’s digits are divisible by 9, the number is divisible by 9.
If a number ends in 0, it is divisible by 10.

which of the following figures has a length, width, and height? A,point B,rectangle C, triangular prism D, ray

Answers

Answer:

C) Triangular Prism

What is the value of y? Answer asap

Answers

Answer:

y=3

Step-by-step explanation:

10=2y+4

10-4=2y

6=2y

3=y

A rectangular prism with a volume of 666 cubic units is filled with cubes with side lengths of 1/2 units . how many 1/2 unit cubes does it take to fill the prism

Answers

Answer:

48 cubes

Step-by-step explanation:

A rectangular prism with a volume of 6 cubic units is filled with cubes with side lengths of 1/2 units . how many 1/2 unit cubes does it take to fill the prism

Solution

Volume of a cube=b^3

Where,

b=side length of a cube

b=1/2 units

Volume of a cube=b^3

=(1/2)^3

=1/8 cubic units

Volume of the rectangular prism=6 cubic units

To find out the number of cubes needed to fill the prism, divide the volume of the rectangular prism by the volume of one cube

Number of cubes needed= Volume of the rectangular prism ÷ volume of a cube

=6 ÷ 1/8

=6 × 8/1

=48 cubes

Examine the diagram of circle C. Points A, B, and Q are on circle C. Given that m∠ACB=52∘, what is the arc length of AQB⌢?

Answers

Hey there! :)

Answer:

Third choice: 13π/15 in.

Step-by-step explanation:

Begin by finding the circumference of the entire circle. Use the formula

C = 2rπ to solve:

C = 2(3)π

C = 6π.

Next, we can set up a proportion to find the arc length of AQB:

[tex]\frac{6\pi }{360}= \frac{x}{52}[/tex]

Cross multiply:

52 · 6π = 360 · x

312π = 360x

Divide both sides by 360:

312π/360 = 360x/360

x = 13π/15 in.

Answer:

The answer is 77n/15 inches :)

Step-by-step explanation:

These figures are similar the area of one is give. Find the area of the other

Answers

Answer:

80 in²

Step-by-step explanation:

8/10 = x/100

x = 80

How many solutions are there to the equation below?
7(x + 2) = 7x-10
O A. Infinitely many
O B. o
O c. 1

Answers

Hi there! :)

Answer:

B. 0 solutions.

Step-by-step explanation:

Given the equation 7(x + 2) = 7x - 10

Simplify:

7(x + 2) = 7x - 10

Distribute the 7 with the terms inside of the parenthesis:

7x + 14 = 7x - 10

Subtract "7x" and 14 from both sides:

7x - 7x = -10 - 14

0 ≠ - 24. The equation has no solutions.

Answer:

[tex]\boxed{\sf B. \ 0}[/tex]

Step-by-step explanation:

[tex]\sf 7(x + 2) = 7x-10[/tex]

Expand brackets.

[tex]\sf 7x+14 = 7x-10[/tex]

Subtract 7x and 14 from both sides.

[tex]\sf 7x+14 -7x-14= 7x-10-7x-14[/tex]

[tex]\sf 0=-24[/tex]

There are 0 solutions.

Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(2, 0), B(6, 0), C(6, 7), D(2, 7). What is the area of rectangle A, B, C, D? square units NEED ASAP 40 POINTS LIGIT

Answers

Answer:

[tex]\boxed{\sf \ \ 28 \ \ }[/tex]

Step-by-step explanation:

Hello,

Please find attached the graph

AB = 6-2 = 4

DA = 7-0 = 7

So the area of the rectangle is AB * DA = 4 * 7 = 28

Hope this helps

A rectangular tank, 1 1/2m long and 1m wide,
contains water to a depth of 50 cm. How
many litres does it contain?​

Answers

Cm : m
100 : 1
50 : x
x = 50/100
= 0.5 m

V = L x b x h
= 1.5 x 1 x 0.5
= 0.75 m^3

Sudhir bought an almirah for RS 13600 and spent RS 400 on its transportation . He sold it for RS 16800 . find the his gain percent

Answers

Answer:

His gain percent is 20%

Step-by-step explanation:

In this question, we want to find the percentage gain of the business.

We need the following parameters;

The cost price which is the sum of the amount she bought the goods + the amount spent on transport

Using the values we have in the question;

The cost price will be;

13,600 + 400 = Rs 14,000

The selling price = Rs 16,800

Mathematically the percentage gain will be;

% gain = (selling price- cost price)/selling price * 100%

% gain = (16,800-14,000)/14,000 * 100/1

% gain = 2800/14,000 * 100/1 = 1/5 * 100/1 = 20%

Shawn and Dorian rented bikes from two different rental shops. The prices in dollars, y, of renting bikes from the two different shops for x hours is shown. Shop Shawn used: y = 10 + 3.5x Shop Dorian used: y = 6x If Shawn and Dorian each rented bikes for the same number of hours and each paid the same price, how much did each pay for the rental? $ What is the y-value in the solution to this system of linear equations? 4x + 5y = −12 -2x + 3y = −16 −4 −2 2 5

Answers

Answer:

They both rented the bikes for 4 hours and paid $ 24.

Answer:$24

Step-by-step explanation:

Sequences as Functions: Practice
Save and Exit
Question 8 of 8
Consider the geometric sequence below.
2, 12, 72, 432, ...
Select the explicit function which defines the sequence.
f(n) = 6.3(m – 1)
0 0
f(n) = 6.2(1 - 1)
f(1) = 3.2(0 - 1)
O f(x) = 2.6(n - 1)
Submit
Reset

Answers

The answer is option 4
Explanation:
To find the n term always replace n in the given equation with the term u need
Example:f(n) =2 . 6^(n-1)
Replace n =1 to find the first term
That will be f(1) = 2 . 6^(1-1) = 2 . 6^(0)
( as any number with power 0 is always 1) = 2 . 1= 2

Do the same for 2nd term by replacing n with 2 n so on

What is the constant of proportionality in the equation y = 2.51?
constant of proportionality

Answers

Answer:

The constant of proportionality (k) equals the total price (y) divided by the number of cans (x).

Step-by-step explanation:

might help

why arent answers showing up for a ton of people right now?

Answers

hi there! brainly is down on the website. go on a mobile device and download the app and the answers should show up there! hope this helps :)

HELP!
Choose the slope and y-intercept that
correspond with the graph.

Answers

Answer:

The second answer

Step-by-step explanation:

Remember rise over run since this is a negative line go down 4 and over to the right 3. Now you found your slope which is -4/3. To find the y intercept simply look at the y axis and look at where the line passes through it

Find the 12th term of the arithmetic sequence whose common difference is d=6 and whose first term is a, = 2.

Answers

Answer:

The 12th term is 68

Step-by-step explanation:

Since the sequence is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

From the question

d = 6

a = 2

n = 12

So the 12th term of the sequence is

A(12) = 2 + (12-1)6

= 2 + 11(6)

= 2 + 66

A(12) = 68

Hope this helps you

A random sample of 121 automobiles traveling on an interstate showed an average speed of 65 mph. From past information, it is known that the standard deviation of the population is 22 mph. The standard error of the mean is

Answers

Answer: 2.

Step-by-step explanation:

Number of samples = 121

Average speed (sample mean) = 65mph

Population standard deviation = 22 mph

The standard error of the mean is:

Standard error of the mean(S.Em)

Standard error of the mean is the proportion of the population standard deviation and the square root of the sample size.

S.Em = standard deviation / √same size

S.Em = 22 / √121

S.Em = 22 / 11

S.Em = 2

find the prime factorization of 47

Answers

Answer: 47 = 1 x 47 since 47 is a prime
How to find it:

Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder.

The prime factorization of 47 is:

47 is a prime number.

The exponent of prime number 47 is 1.

Adding 1 to that exponent we get

(1 + 1) = 2.

Factors of 47: 1, 47.

Factor pairs: 47 = 1 x 47.

47 has no square factors that allow its square root to be simplified.

√47 ≈ 6.85565.

Hope this helps!!! :)

factor the equation x2-2x-15=0

Answers

Answer:

(x + 3)(x - 5)

Step-by-step explanation:

Well to factor  x^2-2x-15,

we need to find 2 numbers that multiply to get -15 and add to get -2.

3*-5 = -15

3x + -5x = -2x

x*x = x^2

Factored (x + 3)(x - 5)

Hope this helps :)

Answer:

(x - 5)(x + 3)

Step-by-step explanation:

Step 1- Find 2 number that multiplies to be -15, but also add to be -2

This would be -5 and 3

-5 * 3 = -15

-5 + 3 = -2

Step 2- write the equation

The equation can be written 2 different ways

1st way- (x - 5)(x + 3)

2nd way- (x + 3)(x - 5)  

In the right triangle shown, DF=EF=3DF=EF=3D, F, equals, E, F, equals, 3.

How long is DEDED, E?
Choose 1 answer:

Answers

Answer:

DE = 4.24

Step-by-step explanation:

The diagram is not shown; However, the question can still be solved without the diagram.

Having said that,.

Given that

DF = EF = 3

This implies that DE is the hypothenus and will be solved using Pythagoras theorem.

DE² = EF² + DF²

Substitute 3 for EF and DF

DE² = 3² + 3²

DE² = 9 + 9

DE² = 18

Take Square Root of both sides

DE = √18

DE = 4.242640687119285

DE = 4.24 (Approximated)

trigonometry heeellllppp plzzzz​

Answers

Answer:

x ≈ 3.4 cm

Step-by-step explanation:

Using the sine ratio in the right triangle

sin57° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{4}[/tex] ( multiply both sides by 4 )

4 × sin57° = x , thus

x ≈ 3.4 cm ( to 1 dec. place )

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