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agasfer [191]
3 years ago
10

Mary purchased a concert ticket on a website. The original price of the ticket was $75. She used a

Mathematics
1 answer:
pshichka [43]3 years ago
8 0

Answer:

Answer:

Mary's ticket was less than the original price by 12 percent

Step-by-step explanation:

1. Let's calculate the 20% discount price Mary  received:

75 - 0.2 * 75 = 75 - 15 = $ 60

The discounted price is $ 60

2. Let's calculate the 10% service fee to the discounted price:

60 + 0.1 * 60 = 60 + 6 = $ 66

The price including the service fee is $ 66

3. Finally, let's calculate the less percentage than the original price:

Let's use the Direct Rule of Three, this way:

Price     Percentage

75              100

66                x

**************************

75x = 66 * 100

75x = 6,600

x = 6,600/75

x = 88

Less percentage = 100 - 88 = 12%

Mary ticket was less than the original price by 12 percent

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3 years ago
A cylindrical container has a radius of 3 centimeters and a height of 12 centimeters. The container is filled with water up to t
evablogger [386]

Answer:

volume of empty space = 141.3 cm³

Step-by-step explanation:

volume of empty space = volume of the cylinder - volume of water

First, we need to calculate the volume of the container

volume of a cylinder = πr²h

 where r = radius of the container   and   h is the height of the container

r = 3cm  and h = 12 cm    π is a constant which is ≈ 3.14

volume of a cylinder = πr²h

                                  =3.14 × 3²×12

                                   =3.14×9×12

                                    =339.12 cm³

We will proceed to find the volume of water

since liquid will take the shape of its container,

then volume of water =  πr²h

r is the radius of the container   and    h is the height of the water

r = 3cm    and   h = 7cm      

volume of water =  πr²h

                             = 3.14 ×3²×7

                              =3.14×9×7

                              =197.82 cm³

volume of empty space = volume of the cylinder - volume of water

                                          =339.12 cm³    -    197.82 cm³

                                          = 141.3 cm³

OR

WE CAN SOLVE DIRECTLY

height of empty space = height of container - height of water

                                       = 12 - 7

                                        =5 cm

volume of empty space = πr²h

                                        =3.14×3²×5

                                        =3.14×9×5

                                         =141.3 cm³

volume of empty space = 141.3 cm³

4 0
3 years ago
What is the exact value of the expression the square root of 486. − the square root of 24. + the square root of 6.? Simplify if
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19.5959179422
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