Problem PageQuestion 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 10%, and the tax in the second city was 8%. The total hotel tax paid for the two cities was $825. How much was the hotel charge in each city before tax?

Answers

Answer 1

Answer:

the hotel charge in the first city is $5250 while the hotel charge in the second city is $3750

Step-by-step explanation:

Let a represent the charge in the first city before tax and b represent the charge in the second city before tax.

Therefore tax in first city = 10% of a = 0.1a

Tax in second city = 8% of b = 0.08b

From the total tax as $825, hence:

0.1a + 0.08b = 825           (1)

The hotel charge before tax in the second city was $1500 lower than in the first. This gives the equation:

b = a - 1500

a - b = 1500                    (2)

To find a and b, solve equation 1 and 2 simultaneously. Multiply equation 2 by 0.1 and subtract from equation 1:

0.18b = 675

b = $3750

a = b + 1500 = 3750 + 1500 = 5250

a = $5250

Therefore, the hotel charge in the first city is $5250 while the hotel charge in the second city is $3750


Related Questions

Select all the expressions that are equivalent to x2+4x. (^2 means raising something to the 2nd power.)

Answers

Answer:

(x+4)x

Step-by-step explanation:

The factor of the expression into an equivalent form x² + 4x would be;  x(x + 4)

What are equivalent expressions?

Those expressions that might look different but their simplified forms are the same expressions are called equivalent expressions.

To derive equivalent expressions of some expressions, we can either make it look more complex or simple. Usually, we simplify it.

We need to factor the expression into an equivalent form x² + 4x

This expression could also be given by;

x² + 4x

Then factor out x we get;

x² + 4x =  x(x + 4)

Hence, the expression into an equivalent form x² + 4x would be; x(x + 4)

Learn more about expression here;

brainly.com/question/14083225

#SPJ2

Please help me I do not understand this lolll

Answers

Answer:

I do not understand this either lolll lolll

but I guess eq 1 = D

EQ 2 = B

EQ 3 = A

EQ 4= C

That’s hard sorry I can’t

Mr levels gave 5 tests the test scores were 200,225,215,199 and 225, what is the mean median and mode of the tests that mr levels gave?

Answers

Answer:

median is 215

mode is 225

mean is 212.8

Step-by-step explanation:

Im pretty sure

ten friends scored the following marks in their end of year maths exam: 23 37 45 49 63 63 70 72 82. What was the mean deviation of their marks

Answers

Answer:

50.4

Step-by-step explanation:

mean is just another way for syaing average

all the numbers added = 504

dived it by the number of scores

504 divided by 10 = 50.4

Find the missing side length in the following Pythagorean Triple:
7 - ? - 25

Answers

The answer would be 24 :)

David has $520 to spend at a bicycle store for some new gear and biking outfits.
Assume all prices listed include tax.
• He buys a new bicycle for $303.93.
• He buys 4 bicycle reflectors for $10.99 each and a pair of bike gloves for $25.25.
• He plans to spend some or all of the money he has left to buy new biking outfits
for $73.43 each.
Write and solve an inequality which can be used to determine x, the number of
outfits David can purchase while staying within his budget.

Answers

Step-by-step explanation:

after he buys everything he has 170.83 ( total 340.17) 73.43 times x

There are 18 students participating in a spelling bee. How many ways can the students who go first, second, third, and fourth be chosen? a. 73,440 ways c. 4,896 ways b. 1,028,160 ways d. 13,366,080 ways

Answers

Answer:

the answer is: A

18 * 17 * 16 * 15 = 73,440

I'm literal trash at math please help :) if you can help me with all 3 that'd be great.

Answers

Answer:

1. C 3.D  4.D

Step-by-step explanation:

1. The chances of getting a white marble is 3/9 so the chances of not drawing it is 6/9

3. The theoretical probability is 10/50. The experimental probably turned out to be 8/50. So the theoretical probability is bigger meaning its D.

4. 18/24 is 75%, 75% of 300 is 225

A student studied for 1 hour and earned a 50% on her test. If she had studied for 2
hours, she would have scored a 100% on her test. Help asap please

Answers

You have to double 1 and 50 to get 2 and 100

1:50 = 2:100

1x2=2

50x2=100

So the statement, if she studied for 2 hours, she would have gotten 100%,  makes sense

Hope this helps!

(X-2/3)^2+y^2 =36
What is its center?
What is its radius

Answers

Answer:

0(2/3; 0)

Step-by-step explanation:

Center (2/3 ; 0)
Radius 6

Find the sum of the zeros in the following equation:
Y=(2x – 1) (x + 4) (2x– 3) (x– 1)

Answers

This is the answer where the red part is

Vienna bought 8 yards of fabric and paid $35.60. How many more
yards can she purchase with $20?

(The paper this is one is due tmr. Help)

Answers

Answer:

4.49 more yards

Step-by-step explanation:

Given data

If 8 yards of fabric cost $35.60

then let  x yards cost $20

cross multiply

35.60*x= 20*8

35.60*x= 160

x= 160/35.60

x= $4.49

Hence the $20 will purchase 4.49 more yards

Is water wet?? Explain

Answers

Answer:

WATER IS not wet

Step-by-step explanation:

Water is NOT wet by itself, however it makes other materials wet when it sticks to the surface of them.

Answer:

Water isn't wet by itself, but it makes other materials wet when it sticks to the surface of them. Wetness is the ability of a liquid to adhere to the surface of a solid, so when we say that something is wet, we mean that the liquid is sticking to the surface of a material.

Your soccer team is holding a silent auction dinner as a fundraiser to pay for school uniforms. The list shows all the expenses for the silent auction.

A tablet that costs $350
Football tickets that cost $150
A gift card that cost $125
The cost of the food is $500
The members of the soccer team will be selling tickets to the silent auction. A ticket to the silent auction includes chances to win prizes and dinner. The ticket cost is set so that 45 tickets will pay for the cost of the prizes and food.

Build a function that can be used to find the total profit, f(x), the soccer team earns by selling x tickets. Show your work to build this function.

Answers

Answer:69

Step-by-step explanation:

A) $16

B) p(x) = 16x -800

C) 69 ticketsn:

A) The total of expenses is ...

$280 +100 +20 +400 = $800

If this is covered by 50 tickets, then a ticket must provide revenue of ...

$800/50 = $16

The cost per ticket is $16.

__

B) The profit is the difference between revenue and expenses. The revenue from sale of x tickets will be 16x. The expenses are fixed at 800, so the profit is ...

p(x) = 16x -800

__

C) We can find the number of tickets to sell (x) in order for profit to be at least $300 by solving the inequality ...

p(x) ≥ 300

16x -800 ≥ 300 . . . . . use the expression for p(x)

16x ≥ 1100 . . . . . . . . . add 800

x ≥ 68.75 . . . . . . . . . . divide by 16 . . . (the least satisfactory integer is 69)

In order to raise at least $300, the number of tickets sold must be at least 69.

jodi's car used 12 gallons of gas to travel 456 miles. How many miles did her car travel per gallon of gas?.

Answers

Answer:

38 miles

Step-by-step explanation:

456 ÷ 12 = 38

give me brainllest

What is the probability of flipping a coin 7 times and getting heads 5 times? Round your answer to the nearest tenth of a percent.

Answers

For a fair coin,
Probability of a head, P(H) = 1/2 = 0.5
Probability of a tail , P(T) = 1/2 = 0.5
The number of possible outcomes is small enough to simply list the outcome:
The possible outcomes of flipping a coin 7 times and getting heads 6 times are these 7 possibilities:
THHHHHH
HTHHHHH
HHTHHHH
HHHTHHH
HHHHTHH
HHHHHTH
HHHHHHT
The probability of EACH of the above outcomes is
= (0.5)(0.5)(0.5)(0.5)(0.5)(0.5)(0.5)
= (0.5)⁷
Since there are 7 possibilities and since the probabilities of every outcome is identical, the probability of rolling the 7 outcomes is,
= 7 x probability of each outcome
= 7 x (0.5)⁷
= 0.5468
= 5.468%
= 5.5% (nearest tenth)

Three friends ordered personal-sized pizzas for lunch. Lucia ate 2/3 of her pizza, Allie ate 1/4 of her pizza, and Carolina ate 2/5 of her pizza. Which statement correctly compares the amount of pizza that the friends ate?

Answers

Answer:

They have atleast two or one left

What number must you add to complete the square?
X2 + 12x = 40
x2
o
A. 36
B. 20
(
C. 6
O
O
D. 5
х

Answers

Answer:

36

Step-by-step explanation:

x^2 + 12 x  = 40

To complete the square, take the coefficient of the x term

12

Divide by 2

12/2 = 6

Square it

6^2 = 36

Add 36 to each side

WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!
WHAT IS THE AMPLITUDE OF THIS FUNCTION

Answers

your answer should be three.

~iwa-chan

I make $8 dollars per hour (H) for babysitting. I make a total (T) dollars babysitting on Saturday. In the space below, identify the Independent Variable (either H or T), the Dependent Variable (either H or T), and write an equation based on this information (include 8, H, T, and an = sign).

Answers

Answer: 8H=T

Step-by-step explanation:

8 is dependant on the hours so you put it together. Your independent

value is T since it is by itself. So your answer becomes.

8H=T

Someone help me im struggling!!

Answers

Step-by-step explanation:

SI = P × R × T / 100

= 56780 × 3 × 3 / 100

= 5110.2

What does r equal A B C or D

Answers

Answer:

b i think

Step-by-step explanation:

Find the first four terms of the sequence, an = 4 − 2n

Answers

Answer:

2, 0, -2, -4

Step-by-step explanation:

an = 4 − 2n

a1 = 4 - 2(1) = 2

a2 = 4 - 2(2) = 0

a3 = 4 - 2(3) = -2

a4 = 4 - 2(4) = -4

Answer:

(2, 0, -2, -4)

Step-by-step explanation:

a(1) = 4 - 2(1)

= 4 - 2

= 2

a(2) = 4 - 2(2)

= 4 - 4

= 0

a(3) = 4 - 2(3)

= 4 - 6

= -2

a(4) = 4 - 4(4)

= 4 - 8

= -4

What is the length of the unknown
leg of the right triangle?

Answers

Answer:

2ft

Step-by-step explanation:

Need help fast!!!
Use the number line to compare the numbers.
Drag and drop the numbers to place them in increasing order.

Answers

Answer:

the sequence of numbers starting left to right is: -2 -1.6 -1 -1/6 0 3/7 0.6 1 2  

Step-by-step explanation:

Answer:

Ok so -1.6 goes in between -2 and -1.  Then -1/6 goes in between -1 and 0. Then 0.6 goes between 0 and 1. And last 3/7 goes between 1 and 2. 

Step-by-step explanation:

hope this helps you :)

What is the area of a regular hexagon with perimeter of 90 ft?

Answers

Answer:

A=584.57

Step-by-step explanation:

The coordinate plane shown below shows the locations of the library and park in the town where Rasheed lives.

Which expression represents the distance from the library to the park as modeled on the coordinate grid?


A. 5 + 3


B. 5 + -3


C. 5 - -3


D. -5 - -3

Answers

i cant see the grid :)

Which set of ordered pairs does not represent a function?
{(5, -9), (6, -6),(-3, 8), (9,-6)}
{(-6, -4), (4, -8),(-6,9), (1, -3)}
{(1, -1), (-5,7), (4,-9), (-9,7)}
{(8,-9), (-3, -6), (-4, 4), (1, -5)}

Answers

Answer:

2

Step-by-step explanation:

{(-6, -4), (4, -8),(-6,9), (1, -3)}

These ordered pairs are not a function.

-6 has 2 outputs.

Match the function with the graph.

Pls help!

Answers

Answer:

C.

Step-by-step explanation:


There are 30 students in a class. Which equations represent the situation if the number of boys
is b and the number of girls is 7? Select all that apply.

A. b x 30 = 7

B.b = 30- 7

C. b = 30 + 7

D. b +7 =30

E. b x 7 =30

Answers

Step-by-step explanation:

A. b x 30 = 7E. b x 7 =30C. b = 30 + 7

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