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The weight of a liquid varies directly as its volume V.

Question : The weight of a liquid varies directly as its volume V. : 2163524

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Determine whether the expression is rational.

261) The weight of a liquid varies directly as its volume V. If the weight of the liquid in a cubical container 5 cm on a side is 375 g, find the weight of the liquid in a cubical container 3 cm on a side.

A) 9 g

B) 12 g

C) 81 g

D) 27 g

262) The shadow cast by an object on a sunny day varies directly as the height of the object. If a person 72 inches tall casts a shadow 55 inches long, how tall is a tree which casts a shadow 48 feet in length?

A) 82.5 feet

B) 63.5 feet

C) 62.84 feet

D) 36.67 feet

Divide.

263) (9x7 - 30x5/3x3)

A) 3x4 - 10x2

B) 3x4 - 30x5

C) -7x9

D) 9x7 - 10x2

264) (10x6 - 25x3/-5x6)

A) 10x6 + ( 5/x3)

B) -2 + ( 5/x3)

C) -2 + 5x3

D) -2 - 25x3

265) (-48x7 - 30x6 - 48x5/-6x6)

A) 16x + 5

B) 8x + 5 + (8/x)

C) 8x - 30x6 + (8/x)

D) 8x + 5

266) (-45x10 + 27x9 + 45x5/9x3)

A) -45x7 + 27x6 + 45x2

B) -5x7 + 3x6 + 5x2

C) -5x13 + 3x12 + 5x8

D) -45x13 + 27x12 + 45x8

267) (-8x9 - 6x8 + 10x7 - 10x4/2x4)

A) -4x13 - 3x12 + 5x11 - 5

B) -8x5 - 6x4 + 10x3 - 10

C) -4x5 - 3x4 + 5x3 - 5

D) -8x13 - 6x12 + 10x11 - 10

268) (30x6 + 18x9 - 30x10) ÷ 6x3

A) 30x3 + 18x6 - 30x7

B) 5x3 + 3x6 - 5x7

C) 5x9 + 3x12 - 5x13

D) 30x9 + 18x12 - 30x13

269) (-25x10 - 15x8 - 10x6 - 25x2) ÷ -5x2

A) 5x8 + 3x6 + 2x4 + 5

B) -25x8 - 15x6 - 10x4 - 25

C) -25x12 - 15x10 - 10x8 - 25

D) 5x12 + 3x10 + 2x8 + 5

270) (8x5y3 - 10x2y2 - 6x3y) ÷ (-2x2y)

A) -4x3y3 - 5y2 - 3xy

B) -4x3y2 - 5y - 3x

C) -4x3y2 + 5y + 3xy

D) -4x3y2 + 5y + 3x

271) (x2 - 121/x - 11)

A) x - 121

B) x2 - 11

C) x + 11

D) x + 121

272) (x2 + 6x + 8/x + 4)

A) x + 2

B) x3 - 4

C) x2 + 2

D) x - 4

273) (x2 + 7x - 18/x + 9)

A) x + 2

B) x - 2

C) x2 + 8x - 9

D) x2 - 2

274) (2m2 + 6m - 20) ÷ (m + 5)

A) 2m - 4

B) m - 4

C) 2m + 4

D) 2m - 4 + (7/m - 4)

275) (y2 + 12y + 36) ÷ (y + 6)

A) y + (6/y + 6)

B) y + 6

C) y - 6

D) y2 + 6

276) (p2 + 2p - 1) ÷ (p + 4)

A) p + 2 + (7/p + 4)

B) p - 7 + (2/p + 4)

C) p - 2 + (7/p + 4)

D) p - 2

277) (x2 + 10x + 12) ÷ (x + 7)

A) x + 3 + (9/x + 7)

B) x + 4

C) (x + 3/x + 7)

D) x + 3 - (9/x + 7)

278) (5r3 - 28r2 - 3r - 54) ÷ (r - 6)

A) 5r2 + 2r + (9/r - 6)

B) 5r2 - 2r - 9

C) 5r2 + 2r + 9

D) r2 + 9r + 2

279) (8x3 - 2x2 - 7x + 10) ÷ (4x + 5)

A) x2 - 3x + 2

B) x2 + 3x - 2

C) 2x2 + 2

D) 2x2 - 3x + 2

280) (x4 - 16/x2 - 4)

A) x2 - 4x + 2

B) x2 + 2x + 2

C) x2 + 4

D) x2 – 4

Solution
5 (1 Ratings )

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Algebra 2 Years Ago 259 Views
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