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shtirl [24]
4 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]4 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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Each day, a factory produces a total of 280 containers of ice cream. The flavors are vanilla, chocolate, and strawberry. Each da
GalinKa [24]

Answer:

The correct equation in terms of s is: 4s=260

  • The number of strawberry ice cream produced per day, s=65.
  • The number of chocolate ice cream produced per day ,c=130.
  • The number of vanilla ice cream produced per day ,v=85.

Step-by-step explanation:

Let the number of containers of strawberry ice cream produced per day=s

Let the number of containers of vanilla ice cream produced per day=v

Let the number of containers of chocolate ice cream produced per day=c

Total Number of Ice Cream Containers=280

  • s+v+c=280

Given:

The factory produces twice as much chocolate ice cream as strawberry ice cream. This is written as:

  • c=2s

The factory produces 20 more containers of vanilla ice cream than strawberry ice cream. This is written as:

  • v=s+20

Therefore substituting c=2s and v=s+20 into the first equation: s+v+c=280

s+s+20+2s=280

4s=280-20

4s=260

Divide both sides by 4

s=65

The number of strawberry ice cream produced per day is 65.

The number of chocolate ice cream produced per day =2s=2(65)=130.

The number of vanilla ice cream produced per day =s+20=65+20=85.

3 0
3 years ago
Is the ratio $81 in 9 hours equivalent to $63 in 7 hours
In-s [12.5K]
Yes they are equivalent because their ratio is 9
81/9= 9
63/7=9
3 0
3 years ago
Can anyone check this if it’s right.
Romashka [77]

Yes this is the right answer

6 0
3 years ago
A figure is composed of a semicircle and a right triangle. Determine the area of the shaded region. Use 3.14 for π and round to
Aliun [14]

Answer:

A=9.5\ ft^2

Step-by-step explanation:

we know that

The area of the shaded region is equal to the area of triangle plus the area of semicircle

so

A=\frac{1}{2}bh+\frac{1}{2}\pi r^{2}

we have

b=4\ ft

Find the height of the right triangle applying the Pythagorean Theorem

5^2=h^2+4^2

h^2=9\\h=3\ ft

The radius of the semicircle is half the height of triangle

r=3/2=1.5\ ft

substitute in the formula

A=\frac{1}{2}(4)(3)+\frac{1}{2}(3.14)(1.5)^{2}

A=6+3.5=9.5\ ft^2

5 0
3 years ago
Read 2 more answers
What is the remainder if f(x) = x4 – 5x2 - 6x - 10 is divided by x - 3?
bezimeni [28]

Answer:-46

Step-by-step explanation: just took test

5 0
3 years ago
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