A theater group made appearances in two cities. The hotel charge before tax in the second city was $1500 lower than in the first. The tax in the first city was
7.5%, and the tax in the second city was 7%. The total hotel tax paid for the two cities was $547.50. How much was the hotel charge in each city before tax?

Answers

Answer 1

Answer:

let the hotel charge before tax for second hotel be x

then the hotel charge before tax for first hotel = x+1500

tax of first hotel = 7.5% * (x+1500) = (7.5x+11250)/100

tax from second hotel= 7% of x = 7x/100

total tax = 547.50

7x/100 + (7.5x+11250)/100 =547.50

14.5x = 54750-11250

14.5x= 43500

x= 3000

hotel charge in first city = 4500

in second city =3000

Step-by-step explanation:


Related Questions
























Simplify.

4−16÷4+42




















Item 5
Simplify.

4−16÷4+42

Answers

Answer:

42

Step-by-step explanation:

16 dividied by 4 is 4

4 minus 4 is 0

and 0 plus 42 is 42

Answer:

45

Step-by-step explanation:

4-16÷4+42

12÷4+42

3+42

45

Help! ASAP!!!

Use the map shown below to find the distance between cities A and B to the nearest tenth.

Answers

Answer:

7.2 units

Step-by-step explanation:

Coordinates of city A = (0, 0)

Coordinates of city B = (6, 4)

Use the distance formula to find the distance between the two cities as follows:

[tex] AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Let,

[tex] A(0, 0) = (x_1, y_1) [/tex]

[tex] B(6, 4) = (x_2, y_2) [/tex]

Plug in the values into the formula

[tex] AB = \sqrt{(6 - 0)^2 + (4 - 0)^2} [/tex]

[tex] AB = \sqrt{(6)^2 + (4)^2} [/tex]

[tex] AB = \sqrt{36 + 16} = \sqrt{52} [/tex]

[tex] AB = 7.2 [/tex] (nearest tenth)

y/-5=1/10
Enter your answer as a reduced fraction.

Answers

Answer:

1/2

Step-by-step explanation:

y/-5=1/10

multiply -5 on both sides

y/-5 x -5 - cancels

1/10 x -5/1

1/10 x -50/10 = 5/10 = 1/2

so then its y=1/2

1.) (-18, -20) (18, 16)

2.) (-7, 14) (-11, 4)

3.) (-5, -4) (3, 9)

4.) (13, -8) (-9, -1)

Answers

1.) (-18, -20) (18, 16)

m= 1

2.) (-7, 14) (-11, 4)

m= 5/2

3.) (-5, -4) (3, 9)

m= 13/8

4.) (13, -8) (-9, -1)

m= -7/22

Which statements about opposites are true?

Answers

Answer:

The opposite of a negative number is always positive.

Step-by-step explanation:

Answer:

Opposites always have the same absoulute value.

Step-by-step explanation:

^^^^ I don't fully know what type of question you are asking but here is my answer ^^^^

The circumference of a circle is 16Pi ft

Answers

Area of the circle: 64π ft²

Radius of circle: 8 ft

The circumference formula: C = d · π

We can plug in the values we know.

16π = d · π; We can cancel out the π, as it is on both sides.

d = 16ft; r = 8ft

The area formula: A = πr²

A = 64π ft²

Health insurance helps to protect you from financial loss by _____. a. paying for some or all of your medical costs while you are insured. b. working with medical care providers to minimize or discount the total cost of medical care. c. connecting you with health care representative to help keep you in good medical condition to avoid excessive medical care costs. d. informing you about lectures, classes, and presentations that help inform you about maintaining good medical condition to avoid excessive medical care costs.

Answers

Answer:

A: paying for some or all of your medical costs while you are insured.

Step-by-step explanation:

Health insurance helps to protect you from financial loss by: a. paying for some or all of your medical costs while you are insured.

What is health insurance?

Health insurance is an insurance coverage that help to cover your medical costs or medical expenses incase of unforeseen circumstance such as:

AccidentIllness etc

Health insurance is important as it help to save cost which means that you will spend less when it come to medical care because you are insured.

Hence, your health insurance company or insurance provider will be responsible for paying for your medical expenses in as far as you are still insured by them.

Inconclusion health insurance helps to protect you from financial loss by: a. paying for some or all of your medical costs while you are insured.

Learn more about health insurance here:https://brainly.com/question/1941778

What is the solution of the following quadratic inequality? x2 – 4x – 21 ≤ 0

Answers

Answer:

This is the answer

Answer: B

Step-by-step explanation:

what is 5 1/12 -3 5/12?​

Answers

Answer:

the answer is -5/6 hope this helps

Find a − b when a = −7 and b = 11.

Answers

Answer:

-18

Explanation:

a - b

a = -7

b = 11

Insert -7 for 'a' and 11 for 'b'

-7 - 11

= -18


The maximum speed that an X43A plane can reach is 7,500 miles per hour. At this speed, how many feet
can the X43A travel in 1 second? (1 mile = 5,280 feet)

Answers

Answer:

11000 feet/seconds

Step-by-step explanation:

This problem requires that we convert from miles per hour to feet per seconds

Given that the speed of the X43A plane is 7500 mph

and that 1 mile = 5,280 feet)

[tex]=\frac{7500miles}{h} *\frac{5280 feet}{mile} \frac{1hour}{3600 seconds} \\\\=\frac{7500*5280}{3600} \\\\=\frac{396*10^5}{3600} \\\\=11000 feet/seconds\\\\=11*10^3feet/seconds\\\\[/tex]

Therefore the speed of the X43A plane in feet per second is 11000

the sum of 3 numbers is 114. the second number is 4 times the third the third number is 6 more than the first

Answers

Answer:

let the three numbers be x,y,z

X= z-6

Y= 4z

Z= z

Step-by-step explanation:

X+Y+Z=114

hence

=z-6+4z+z=114

=collect like times. X= 20-6=14

= z+4z+z=114+6. Y= 20*4=80

=6z=120. . Z= 20

z=20

Answer:

  14 + 20 + 80 = 114

Step-by-step explanation:

Let's begin by representing our 1st number as x.

Then our 2nd number is said to be 6 more than the 1st number, which we can represent as x + 6.

Lastly, our 3rd number is said to be 4 times the 2nd number, which we can represent as 4(x + 6).

Now can write our equation to express the sum of these three numbers as 114 and then solve for x to find the values of these three numbers:

   x + (x + 6) + 4(x + 6) = 114

   x + x + 6 + 4x + 24 = 114

   6x + 30 = 114

   6x = 114 - 30

   6x = 84

     x = 84/6 = 14 (1st number)

     x + 6 = 14 + 6 = 20 (2nd number)

     4(x + 6) = 4(20) = 80 (3rd number)

We can check our answers by adding these numbers up to see if their sum is 114:

    14 + 20 + 80 = 114

    34 + 80 = 114

    114 = 114

Their sum is 114, so we are confident that our three numbers are correct.

-Hope this helps

PLS MARK ME BRAINLIEST

5. There are two kinds of products (called DA and GA) produced in your company every day. Alsothere are two kinds of materials (denoted by A and B) in need One DA costs one unit of A, one unit of B: one GA costs one unit of A, two units of B. You get $3000 when you sell one DA and $5000 for one GA. The supply of the two materials every day is 12,22. a)What is the maximal profit $ b) How many DA and GA should be produced every day to obtain this maximal profit? Number of DA = Number of GA

Answers

Answer:

a) $56000b) DA = 2, GA = 10

Step-by-step explanation:

Given

DA = A + B ⇒ $3000GA = A + 2B ⇒ $5000Number of A = 12Number of B = 22

We can see from the equations that

GA - DA = B ⇒ $2000 andA = $1000 and B = $2000 in terms of profit

So greater use of unit B brings greater profit. We don't want any unit is left over, so get this equation.

A + B = 12A + 2B = 22

Is the equation set to indicate use of the units A and B

Solving we get

A = 2 and B = 10

It this case all the units are used and profit is maximum

2*$3000 + 10*$5000 = $56000Number of DA = 2Number of GA = 10

HELP PLEASE

If y varies directly with x and y = 26 when x = 8, write the equation that represents this direct variation relationship
Oy - 4x + 13
Oy=13x +4

Answers

Answer: y= 13 over 4x

Step-by-step explanation: trust me king

16. Find the values of x and y. (2y + 5) (5x - 17) (3x – 11)º

Answers

Answer:

x = 26

y = 9

Step-by-step explanation:

(5x - 17)° + (3x - 11)° = 180° (angles in a straight line)

Solve for x

5x - 17 + 3x - 11 = 180

Collect like terms

5x + 3x - 17 - 11 = 180

8x - 28 = 180

Add 28 to both sides

8x = 180 + 28

8x = 208

Divide both sides by 8

x = 208/8

x = 26

Also:

(2y + 5)° + 90° + (3x - 11)° = 180° (angles on a straight line)

Plug in the value of x and solve for y

2y + 5 + 90 + 3(26) - 11 = 180

2y + 5 + 90 + 78 - 11 = 180

Collect like terms

2y + 162 = 180

Subtract 162 from both sides

2y = 180 - 162

2y = 18

y = 9 (dividing both sides by 2)

What type of angle is angle M? A. Acute B. Obtuse C. Straight or D. right

Answers

Step-by-step explanation:

acute angle is a tiny angle obtuse is a wide 180 straight is just a straight line and a right angle is a right angle which equals 90 degrees

Answer:

Acute angle refers to angle less than 90

Obtuse angle refers to angle greater than 90 but less than 180

straight line angle is equal to 180

right angle is equal to 90

What is the difference?
77 – 43.6 =
A. 23.3
B. 33.4
O C. 34.6
OD. 44.1

Answers

Answer:

B. 33.4

Step-by-step explanation:

77 - 43.6 = 33.4

33.4
You’re just subtracting them

Convert 2.42 to percent

Answers

Answer:

242%

Step-by-step explanation:

Answer:

242%

Step-by-step explanation:

Whole numbers are a 100% each, so there's 200%. Tenths are 10% every tenth, so 40%, and hundredths are 1% every hundredth, so 2%.

200+40+2=242%

If it was helpful, could you plz consider giving me brainliest?

A line passes through point (-6, -1) and is parallel to the equation y2x-5.
What's the equation of the line?

Answers

Answer:

Step-by-step explanation:

A line has a slope of 2 and passes through the point ( -1, 3). Write an equation in slope intercept form

Answers

Answer:

y=2x+5

Step-by-step explanation:

The equation of a line in slope intercept form is written as: y=mx +b where m is the slope and b is the y-intercept.

Taking point (-1,3) , m= 2 and imaginary point on the line, (x,y) then ;

m=change is y-coordinates/change in x-coordinate

m=Δy/Δx

m=y-3/x--1

2= y-3 / x+1

2(x+1) = y-3

2x +2 =y-3

2x=y-3-2

2x=y-5

y=2x+5 is the equation.

Answer:b

Step-by-step explanation:

-4 1/2 divided by (-2 2/3

Answers

Answer:

1 11/16

Step-by-step explanation:

Answer:

1 11/16

Step-by-step explanation:

Convert mixed numbers into improper fractions:

-4 1/2

Step 1: whole number x denominator + numerator

-4 x 2 + 1 = -9

Step 2: write that number over your original denominator

-9/2

Step 3: repeat for other fraction

-2 2/3

-2 x 3 + 2 = -8

-8/3

Step 4: copy, dot, flip

-9/2 × -3/8

Step 5: solve

27/16

Step 6: convert back to mixed number

1 11/16

*note* Negative x negative = positive

Which statement about the graph is true? 7 6 5 2 3 2 1 1 2 3 4 5 6 7 8 x O The graph shows a proportional relationship because it is a line, and the difference between each point is the same. The graph shows a proportional relationship because it is a line, and each x-value isha multiple of 2. O The graph does not show a proportional relationship because each point written as a ratio gives a different value.​

Answers

Answer:

I think but it can also be the first one

The graph shows a proportional relationship because it is a line, and each x-value isha multiple of 2.

4. Solve x -- 7 = 25.
A 18
B 32

Answers

Answer:

B

Step-by-step explanation:

b okay it b good

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skskxkmxxmcmc

jsjdkdjxkxxkxi

6x + 8 = 62 slove for x

Answers

Answer:

4.428571429

Step-by-step explanation:

You have to do 8+6 then 62 divided by 14 and then thats what your x equals.

Answer:

x=9

Step-by-step explanation:

start with

6x+8=62

subtract 8 from each side

6x=54

divide each side by 6

x=9

Given C=n+15, determine the value of C when n=4

Answers

Answer:

19

Step-by-step explanation:

If N=4 and the problem is C= N+15 that means you add 4 to 15 and then get 19 which will be your answer for C. You can also check this by subtracting 19-15 or 19-4!!! I hope this helps!!! Have a great day whom ever you are

If 2x=4(5−2x), then x =

Answers

Answer:

here's your answer

hope this helped you

please mark as the the brainliest(ㆁωㆁ)

Step-by-step explanation:

2x=4(5-2x)2x=20-8x2x+8x=2010x=20x=2

I am in 9th grade,if you have 889,865x999,786 what doe it equal also yes i am not in virtual school and teacher will not let me use a calculatar

Answers

Answer:

889674568890

Step-by-step explanation:

I used a calculator :)

Which number is equivalent to 4/5?
A. 25
100
B. 0.2
O C.
16
100
D. 0.8
PLEASE HELP ASAP

Answers

the answer is D . (0.8)

Answer:

D) 0.8

Step-by-step explanation:

To get this answer, divid 4 by 5! 4 divided by 5 is equivalent to 0.8!

The digit 5 in which number represents a value of 0.5? The answers are 5.4, 0.059, and 8.513.

Answers

Answer:

8.513 is the answer

Step-by-step explanation:

The value of 5 in 0.5 is the tenths place, hence if we look at all other options, the values of 5 are 5(ones place), and 0.05(Hundredth), so the option of 8.513 suits the question's answer. Hope this helped, Thank you.

PLEASE ANSWER FAST

Find the square root of 16.
O a
-4
Ob
4
Ос
+4
Od
-8

Answers

the square root of 16 is 4

Answer:

the square root of 16 is 4

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