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vlada-n [284]
3 years ago
14

Last weekend, Lexie spent 1/2 of her money on the movies and 1/4 of her money on food. She has $7.50 remaining. How much money d

id she have originally?
Mathematics
1 answer:
Degger [83]3 years ago
7 0
It is 60 dollars because you work backwards so you multiply 7.50 by 4 and 2. 
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Three balls are packaged in a cylindrical container as shown below. The balls just touch the top, bottom, and the sides of the c
lord [1]

Answer:

a. 5177 cm³

b. 3,451 cm³

c. 67%

Step-by-step explanation:

Given:

Diameter of each ball (d) = 13 cm

Radius of the ball (r) = radius of the cylinder = ½(13) = 6.5 cm

Height of the cylinder (h) = the sum of the diameters of the 3 balls = 3(13) = 39 cm

a. Volume of cylinder = πr²h

Plug in the values

Volume of cylinder = π*6.5²*39 = 5176.56 ≈ 5177 cm³

b. Total volume of the three balls = 3(volume of 1 ball) = 3(volume of sphere) = 3(⁴/3πr³)

Plug in the value

Total volume of the 3 balls = 3(⁴/3*π*6.5³) = 3(1150.35) = 3,451.05 ≈ 3,451 cm³

c. % of volume of the container occupied by the 3 balls = total volume of the three balls / volume of cylinder × 100

Plug in the values

= 3,451/5177 × 100

= 66.6602279

≈ 67%

6 0
2 years ago
an item is regularly priced at $45. it is on sale for 40% off the regular price. how much (in dollars) is discounted from the re
Paul [167]

Answer:

The discounted price would then be 18 dollars.

Step-by-step explanation:

Start by taking the original price which was 45 and multiply that by .40 (the discount) you should  get a total of 18.

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3 years ago
What is 3.56 times 82 equals
Pavlova-9 [17]
You would multiply 3.56 by 82 and get 291.92
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3 years ago
What expression is equal to 3/5
guapka [62]

Answer:

a.  3 ÷ 5

Step-by-step explanation:

8 0
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Answer:

y=-1/2x-3

Step-by-step explanation:

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