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victus00 [196]
3 years ago
5

Marcello plans to purchase 5 pounds of apples for the week. In addition to the cost of the apples, Marcello will need to pay a 5

% sales tax. Let c represent the cost per pound of the apples. Which expressions can Marcello use to calculate his total cost?
Select each correct answer.

1.05(5c)

5(c+0.05c)

5c+0.05(5c)

0.95(5c)
Mathematics
1 answer:
Paladinen [302]3 years ago
6 0
We define the variables:
 c: represent the cost per pound of the apples
 In addition, we have a 5% tax
 The correct expression for the total cost will then be:
 5c + 0.05 * 5 * c 
 This expression can be rewritten in other ways:
 5 (c + 0.05c)
 5c + 0.05 (5c)
 1.05 (5c)
 Answer: 
 The correct answers are: 
 5 (c + 0.05c)
 5c + 0.05 (5c)
 1.05 (5c)
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See the picture below
mart [117]

Answer:

a) 301.59 cubic centimeters

b) 235.87 square centimeters

Step-by-step explanation:

a)

Volume of ice cream cone is volume of hemisphere PLUS volume of cone.

Volume of Hemisphere = \frac{\frac{4}{3}\pi r^3}{2}

radius is given as 4, so,

Volume of Hemisphere = \frac{\frac{4}{3}\pi r^3}{2}\\=\frac{\frac{4}{3}\pi (4)^3}{2}\\=134.04

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Where radius is 4 and height is 10, so,

Volume of Cone = \frac{1}{3}\pi r^2 h\\=\frac{1}{3}\pi (4)^2 (10)\\=167.55

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b)

Surface area of ice cream cone is surface area of hemisphere PLUS surface area of cone.

Surface Area of Hemisphere = 2\pi r^2\\=2\pi (4)^2\\=100.53

Surface Area of Cone = \pi r^2+\pi rl

We dont need to use the first part, \pi r^2  since it is "inside". We  need to find l, slant height, by using pythagorean theorem on a triangle we can make (bottom right).

4^2 + 10^ 2 = l^2

16 + 100 = l^2

116 = l^2

l = 10.77

Now to find the surface area of cone = \pi rl\\=\pi (4)(10.77)\\=135.34

Surface area of ice cream cone = 100.53 + 135.34 = 235.87 square centimeters

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