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aleksandr82 [10.1K]
2 years ago
11

Wood is sometimes sold in planks that are 2 inches high, 4 inches wide, and 6 feet long.

Mathematics
2 answers:
Gemiola [76]2 years ago
6 0

Answer:

Answer = 72!

Step-by-step explanation:

Okay, so imagine that piece of wood in your mind

As the second part of the question states, the LENGTH is the only dimension that changes. It goes from 6 Foot pieces, to 6 INCH pieces.The height and the width stay the same, at 2 inches and 4 inches, respectively

So, we know that there are 12 inches in a foot. If the original piece was 6 Feet long, then if you multiply 6 (the number of feet) x 12 (the number of inches per foot) then you come up with 72!

Thus, that plank of would could be cut into 72 pieces that were 2 inches high, 4 inches wide, and 6 inches long.

Sindrei [870]2 years ago
5 0

Answer: 72

Step-by-step explanation:

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6. If 55% of the selling price is markup, the remainder (45%) is the cost. Gaitan can pay up to 45% of 489.50 = $220.28.

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... 0.48 × selling price = cost

... selling price = cost/0.48 = $38.87/0.48 = $80.98

8. If 40% of the selling price is markup, the remainder (60%) is the cost, $12.95.

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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
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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%

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