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aleksklad [387]
3 years ago
13

Luca packed 5 shirts and 2 pairs of pants for a two-day trip. If he keeps the same ratio of shirts to number of days, how many s

hirts should he pack for a twelve-day trip?
Mathematics
1 answer:
likoan [24]3 years ago
6 0

Answer:

  30 shirts

Step-by-step explanation:

A 12-day trip is 6 times as long as a 2-day trip, so he should pack 6 times as many shirts:

  6 × 5 shirts = 30 shirts

Luca should pack 30 shirts for his 12-day trip.

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Step-by-step explanation:5

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Find the value of the variable y, where the sum of the fractions 6/(y+1) and y/(y-2) is equal to their product.
Blizzard [7]

Answer:

The answer is

y = 3

y =  - 4

Step-by-step explanation:

We must find a solution where

\frac{6}{y + 1}  +  \frac{y}{y - 2}  =  \frac{6}{y + 1}  \times  \frac{y}{y - 2}

Consider the Left Side:

First, to add fraction multiply each fraction on the left by it corresponding denomiator and we should get

\frac{6}{y + 1}  \times  \frac{y - 2}{y - 2}  +  \frac{y}{y - 2}  \times  \frac{y + 1}{y + 1}

Which equals

\frac{6y - 12}{(y -2) (y + 1)}  +  \frac{ {y}^{2} + y }{(y - 2)(y + 1)}

Add the fractions

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Simplify the right side by multiplying the fraction

\frac{6y}{(y  + 1)(y + 2)}

Set both fractions equal to each other

\frac{6y}{(y + 1)(y - 2)}  =  \frac{ {y}^{2} + 7y - 12}{(y + 1)(y - 2)}

Since the denomiator are equal, we must set the numerator equal to each other

6y =  {y}^{2}  + 7y - 12

=  {y}^{2}  + y - 12

(y  + 4)(y - 3)

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Answer:

The answers are in solutions.

Step-by-step explanation:

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<u>1^st businessman invested:</u>

<u />

\frac{3}{25}  * 250,000 = Rs. 30,000

<u>2^nd businessman invested:</u>

<u />

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<u>3^rd businessman invested:</u>

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<u>4^th businessman invested:</u>

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<u>3^rd businessman got:</u>

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<u>4^th businessman got:</u>

\frac{10}{25} *50,000 = Rs. 20,000

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