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shtirl [24]
3 years ago
9

Customers at Beans Coffee Shop have entered their name in a drawing for one of 4 gift cards. The gift cards each have a value of

$10. If 79 customers enter the drawing, what is the total number of ways Beans Coffee Shop could choose the winners?
Mathematics
1 answer:
Dimas [21]3 years ago
8 0

Answer:

36,060,024 ways

Step-by-step explanation:

To choose the winner in this case, the order is very important because it determines who is chosen first  out of the seventy-nine customers whose names were entered for the draw.

The above supports the reason Permutation will be used instead of Combination.

The total number of ways is given by:

⁷⁹P₄ = 79!/(79-4)!

       =  79!/75!

       = [79 x 78 x 77 x 76 x75!]/75!

       = 79 x 78 x 77 x 76

       =   36,060,024 ways

This implies that there are  36,060,024 ways the Bean Coffee Shop could choose the winners.

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F(x) =-6-3x/2. g(x)=2x+4
Advocard [28]

Answer:

correct

Step-by-step explanation:

my brain be smart

7 0
3 years ago
Which numbers are 4 units from -2 on this number line?
Nady [450]

Answer:

-6 and 2

Step-by-step explanation:

See attached worksheet.

6 0
2 years ago
A typical high school student consumes 67.5 pounds of sugar per year. As part of a new nutrition plan, each member of the track
tino4ka555 [31]

Answer:

54 Pounds

Step-by-step explanation:

We know that they start off with 67.5 pounds of sugar and they need to reduce it by 20%. We also know from the problem that we want to know the MAXIMUM amount of sugar consumed by each track member.

The typical high school student consumes about 67.5 pounds of sugar per year. That is our first piece of the problem

67.5

We now know that 20% of it needs to be reduced. This means that we can multiply it by 0.8 because that is 20% less than 100% of the sugar.

67.5 x 0.8

This leads the answer to be 54 Pounds

Hope this helped :D

4 0
3 years ago
I need help with these 2 questions!! please 20 points!!!
bezimeni [28]

9514 1404 393

Answer:

  1. 45 cm²
  2. 38 cm²

Step-by-step explanation:

The conventional way to work these problems is to make use of the formulas for areas of a triangle, rectangle, and semicircle. If you've used these formulas for a while, you recognize that they give you certain relationships that may make these problems easy to do mentally.

__

1. The area of a triangle is half the product of height and width, so is equivalent to the area of a rectangle either half as high, or half as wide. We note that the width of the sail is 5 cm, so half that is 2.5 cm--exactly the same as the height of the boat's hull. That means we can add the height of the sail to the length of the boat, and the total area can be considered to be the same as that of a rectangle that is

  2.5 cm high × (12 cm + 6 cm) long = (2.5)(18) cm² = 45 cm²

__

2. The usual formula for the area of a circle is ...

  A = πr²

When expressed in terms of diameter, this becomes ...

  A = π(d/2)² = (π/4)d²

Then the area of a semicircle is half that, or (π/8)d². This is equivalent to the area of a rectangle that is "d" wide and "π/8·d" high. That is, the approximate area of the semicircle is that of a rectangle 4 cm high by (π/8·4 cm) = π/2 cm wide. In other words, the semicircle effectively adds π/2 cm to the left end of the 6 cm central rectangle of the figure.

As discussed above, the area of a triangle is equivalent to the area of a rectangle half as high. In this figure, the triangle is 10-6 = 4 cm wide, so can be considered to contribute 4/2 = 2 cm to the right end of the 6 cm central rectangle.

If we consider π ≈ 3, then the approximate area of the figure is ...

  (4 cm)(3/2 cm + 6 cm + 2 cm) = (4)(9.5) cm² = 38 cm²

__

The exact value is 4(8+π/2) = 32+2π ≈ 38.283 cm².

7 0
2 years ago
Use the given value to find the value of the other variable that is not provided.
Sedaia [141]

Answer:

Step-by-step explanation:

4(0) + 3y=12

4x0=0

0+3y=12

3 x 4=12

y=4

3 0
3 years ago
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