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2 years ago

V+2/v + 4/3v =11 How to solve this ?

Mathematics

1 answer:

Goshia [24]2 years ago

3 0

Answer:

0.189

4.525

Step-by-step explanation:

v/1 + 2/v + 4v/3 = 11

we can eliminate denominators if we distribute 3v to each term:

3v(v/1 + 2/v + 4v/3) = 3v(11)

3v² + 6 + 4v² = 33v

7v² - 33v + 6 = 0

factor this trinomial:

there are no factors of 6 that would add to -33 so we can use the quadratic formula to solve: (-b ± √b²-4ac) / 2a

a = 7

b = -33

c = 6

[33 ± √(-33)² - 4(7)(6)] / 2(7)

(33 ± √1089 - 168) / 14

(33 ± √921) / 14

(33 ± 30.35) / 14

(33+30.35) / 14 = 4.525

(33-30.35) / 14 = 0.189

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3 years ago

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3 years ago

ritu can row downstream 20km in 2 hrs and upstream 4km in 2 hrs. find the speed of rowing in still water and the speed of the cu

Marina CMI [18]

Answer:

Speed of boat in still water is 6km/h

Speed of current is 4km/h

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We know speed = distance / time

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Hence the speed of boat, down stream = $x+y$

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3 years ago

Cory, Josh and Dan went shopping for Halloween treats. Cory bought 3 chocolate pumpkins, 4 masks and 8 candy witches. He spent $

bija089 [108]

Answer:

The cost of chocolate pumpkins is $1.89, masks cost $5.75 and candy witches cost $1.62

Step-by-step explanation:

Let x represent the cost of chocolate pumpkins, y the cost of masks and z the cost of candy witches.

Cory shopping can be represented as:

3x + 4y + 8z = 41.63 (1)

Josh shopping can be represented as:

6x + 2y + 14z = 45.52 (2)

Dan shopping can be represented as:

8x + 3y + 25z = 72.87 (3)

The equations in matrix form is:

$\left[\begin{array}{ccc}3&4&8\\6&2&14\\8&3&25\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{c}41.63\\45.52\\72.87\end{array}\right] \\\\\\\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}3&4&8\\6&2&14\\8&3&25\end{array}\right] ^{-1}\left[\begin{array}{c}41.63\\45.52\\72.87\end{array}\right] \\\\\\\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{c}1.89\\5.75\\1.62\end{array}\right]$

The cost of chocolate pumpkins is $1.89, masks cost $5.75 and candy witches cost $1.62

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2 years ago