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Elena L [17]
3 years ago
5

A theater group made appearances in two cities. The hotel charge before tax in the second city was $500 lower than in the first.

The tax in the first city was 3%, and the tax in the second city was 7.5% . The total hotel tax paid for the two cities was $487.50. How much was the hotel charge in each city before tax?
Mathematics
1 answer:
Ilya [14]3 years ago
7 0

Answer:

$55.00

Step-by-step explanation:

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This number is not correct

the correct number is $13.56

They are off by nearly 2o cents

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3 years ago
What is an equation of the line that passes through the points (5, 5) and (5, -8)
Luden [163]

Answer:

m = undefined

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)
  • Slope Formula: \displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (5, 5)

Point (5, -8)

<u>Step 2: Identify</u>

(5, 5) → x₁ = 5, y₁ = 5

(5, -8) → x₂ = 5, y₂ = -8

<u>Step 3: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>

  1. Substitute in points [Slope Formula]:                                                             \displaystyle m=\frac{-8-5}{5-5}
  2. [Slope] Subtract:                                                                                               \displaystyle m=\frac{-13}{0}

Here we see that we have a number divided by 0. Since we know that we cannot divide any number by 0, our slope will be undefined. This will be a vertical line on a Cartesian plane of x = 5.

4 0
3 years ago
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5 0
3 years ago
The ratio of the sides of a triangle is 2 6 7 if the perimeter of the triangle is 195 meters​
timama [110]

Answer: 91m

Step-by-step explanation:

We set three sides of the triangle equal to 2x,6x,7x; because there is the ratio 2:6:7, which x is a common factor of these three sides.

P = a + b + c

2x + 6x + 7x = 195

    15x = 195

        x = 13

7x suppose be the longest side of the triangle, we plug in 13 for x, then:

7x = 7(13) = 91 m

6 0
3 years ago
Each carton 12 eggs. There are 2 full cartons in the refrigerator. Margot uses 3 eggs to make a quiche. How many eggs are left.
3241004551 [841]

Answer:

Answer: There are 21 eggs left.

Step-by-step explanation:

One carton has 12 eggs.

2 cartons are two times one carton, so two cartons have 2 times 12 eggs.

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There are 24 eggs in two cartons.

Margot uses 3 eggs. We subtract 3 eggs from 24 eggs.

24 - 3 = 21

Answer: There are 21 eggs left.

6 0
4 years ago
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