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4 years ago

A bottle of soft drink is two thirds full. Jack drinks one quarter of the remaining soft drink. How full is the bottle now

Mathematics

2 answers:

marusya05 [52]4 years ago

8 0

We know that the bottle of soft drink has a remaining volume which is 2 / 3 of the original.

Since Jack drank 1 / 4 of the remaining volume, hence only 3 / 4 now finally remains, the total is:

(2 / 3) * (3 / 4) = 6 / 12 = 1 / 2

<span>Hence the bottle is now one half full</span>

Lostsunrise [7]4 years ago

8 0

Charli,

First find what 1/4 of 2/3 is.

1/4 of 2/3 = 1/6

(That is 1/4 times 2/3 = 1/6)

So, the bottle was 2/3 full, it is now ...

2/3 - 1/6

=4/6 - 1/6

= 3/6 or 1/2 full.

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A video game store allows customers to rent games for $4.75 each. Customers can also buy a membership for $54 each year, and vid

Nezavi [6.7K]

Answer:

Step-by-step explanation:

Cost of membership + game = 2.50x + 54

Cost of just games = 4.75x

The catch is, how do we make up the 54 dollars?

So equate the 2 costs

4.75x = 2.50x + 54 Subtract 2.50

4.75x - 2.50x = 54 Combine

2.25x = 54 Divide by 2.25

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4 years ago

What is the equation of the line that is

Fantom [35]

Answer:

$y = m_{AB}(X-2)-1$

Step-by-step explanation:

When two lines are parallel means that their slopes are equal. Therefore the line AB will have same slope to a parallel second line, $m_{AB} = m_{2}$ .

To obtain the slope from the line AB, we need two points, so the general equation will be:

$m_{AB} = \frac{y_{B} -y_{A} }{x_{B}-x_{A} }$

The typical equation of a line is written as y = mx + b

The second line will pass through point (2, -1), so we can substitute:

y2 = mX2 + b

-1 = $-1=m_{AB} (2)+b$ (2) + b

then the interception is $b=-m_{AB} -1$

Now to obtain a general equation for the second parallel line will be:

y = $m_{AB}$ X + b

y = $m_{AB}$ X - $m_{AB}$ (2)-1

Finally we get:

y = $m_{AB}$ (x-2)-1

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3 years ago

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Tresset [83]

Given:

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