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stepladder [879]
2 years ago
10

Elsa and two of her closest friends went out to dinner to celebrate Elsaś birthday. The bill for dinner totaled $74.80. If they

decided to leave a 20% tip, what was the amount paid by each person in Elsaś party before taxes?
Mathematics
1 answer:
yuradex [85]2 years ago
8 0

Answer:

$29.92

Step-by-step explanation:

Step one:

given data

The bill for dinner totaled $74.80

Then the tip is 20%

Required

The amount paid by each person after the tip was added to the cost of the dinner

Step two:'

the amount of the tip is

=20/100*74.80

= 0.2*74.80

=$14.96

The total is 14.96+74.80

=$89.76

The number of persons including the celebrant is = 3

so each person will pay

=89.76/3

=$29.92

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3 years ago
If <img src="https://tex.z-dn.net/?f=x-12%5Csqrt%7Bx%7D%20%2B36%3D0" id="TexFormula1" title="x-12\sqrt{x} +36=0" alt="x-12\sqrt{
Elis [28]

Answer:

x = 36

Step-by-step explanation:

x - 12\sqrt{x} + 36 = 0

Subtract x and 36 from both sides.

-12\sqrt{x} = -x - 36

Divide both sides by -1.

12\sqrt{x} = x + 36

Square both sides.

144x = x^2 + 72x + 1296

Subtract 144x from both sides.

0 = x^2 - 72x + 1296

Factor the right side.

0 = (x - 36)^2

x - 36 = 0

x = 36

Since the solution of the equation involved squaring both sides, we musty check the answer for possible extraneous solutions.

Check x = 36:

x - 12\sqrt{x} + 36 = 0

36 - 12\sqrt{36} + 36 = 0

36 - 12\times 6 + 36 = 0

36 - 72 + 36 = 0

0 = 0

Since 0 = 0 is a true statement, the solution x = 36 is a valid solution.

6 0
3 years ago
Can someone help me with this math problem please​
kupik [55]

The number of square tiles needed is 24 tiles

The formula for calculating the area of a rectangle is expressed as:

A = LW where:

L is the length

W is the width

For the rectangle:

Area = 12 feet × 8 feet

Area = 96ft²

For the square:

Area of a square = L²

Area of a square = 2²

Area of a square = 4ft²

Determine the number of square tiles that will cover the patio.

Number of square tiles needed = Area of rectangle/Area of square

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Number of square tiles needed = 24

Hence the number of square tiles needed is 24 tiles.

Learn more here: brainly.com/question/16525056

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2 years ago
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a_sh-v [17]

The remainder of the given expression will be 66.

<h3>What is division?</h3>

Division is a method of distributing a group of things into equal parts. It is one of the four basic operations of arithmetic.

The given polynomlal x⁴+3x³-6x²-12x-8 will be divided by x-3 so we need to find the remainder:-

x-3) x⁴+3x³-6x²-12x-8 ( x³-6x²+12x+24

      x²-3x³

    _______________

            6x³-6x²-12x-8

            6x³-18x²

________________________

                   12x²-12x-8

                   -12x²-36x

  _____________________

                            24x-8

                            24x-72

_______________________

                                    66

Hence the remainder of the given expression will be 66.

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The sequence below shows the
serious [3.7K]

Answer:

Step-by-step explanation:

Option B 2. Now is the correct answer because when we multiply 6 by 2 we get 12 then we multiply 12 by 2 we get 24

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