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nydimaria [60]
3 years ago
6

Felicia is planning a bridal shower for her best friend. At the party, she wants to serve 3 beverages, 3 appetizers, and 3 desse

rts, but she does not have time to cook. She can choose from 15 bottled drinks, 11 frozen appetizers, and 14 prepared desserts at the supermarket. How many different ways can Felicia pick the food and drinks to serve at the bridal shower?
Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
5 0

Answer:

27,327,300

Step-by-step explanation:

The number of ways she can choose 3 beverages from 15 is ₁₅C₃ = 455.

The number of ways she can choose 3 appetizers from 11 is ₁₁C₃ = 165.

The number of ways she can choose 3 desserts from 14 is ₁₄C₃ = 364.

So the total number of combinations is 455 × 165 × 364 = 27,327,300.

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Step-by-step explanation:

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What is the surface area of the prism?
Sever21 [200]

Answer:

Question 3: 582 ft²

Question 4: 348 in²

Step-by-step Explanation:

Question 3:

Consider the solid shape given as being consisting of two rectangular prism. With careful examination, you'd observe that the offer one beneath has dimensions, l, w, h, as 15, 4, 9

The second one has l, w, h, as 6, 4, 6

Surface area of the bigger rectangular prism = total surface area - area of the surface that is joined to the smaller rectangular prism.

Area of the face joined to the smaller rectangular prism = 4*6 = 24 ft²

Surface area of the bigger rectangular prism = 2(wl + hl + hw)  - 24

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Surface area of the bigger rectangular prism = 438 ft²

Surface area of the smaller rectangular prism = total surface area of rectangular prism - area of the surface that is joined to the bigger rectangular prism.

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<em><u>Surface area of the solid = 438 + 144 = 582 ft²</u></em>

Question 4:

Surface area of the triangular prism is given as: 2(B.A) + P*L

Where,

B.A = area of 1 triangular base = ½*height of the triangle*base of the traingle

B.A = ½*6*16 = 3*16 = 48 in²

P = perimeter of 1 triangular base = sum of all sides of the triangle.

P = 16+10+10 = 36 in

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Plug in the values to find surface area of the prism

Surface area = 2(B.A) + P*L

= 2(48) + 36*7 = 96 + 252 = 348 in²

<em><u>Surface area of prism = 348 in²</u></em>

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3 years ago
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Step-by-step explanation:

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