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soldi70 [24.7K]
3 years ago
12

Booker and 85 video games he has three shelves to put the games on each shelf can hold 40 games how many more video games does h

e have room for
Mathematics
1 answer:
Luda [366]3 years ago
5 0

Answer:

Booker has room for 35 new games.

Step-by-step explanation:

multiply the amount of games that can be held on one bookshelf by 3.

40 times 3 = 120

he has room for 120 games, so subtract the amount of video games he already has with the amount he has room for.

120 - 85 = 35

Booker has room for 35 new games.

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Answer:

V= 270m³

Step-by-step explanation:

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3 years ago
Find the equation of the locus of a point that moves so that its distance from the line 12x-5y-1=0 is always 1 unit.
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<u>Answer-</u>

The equations of the locus of a point that moves so that its distance from the line 12x-5y-1=0 is always 1 unit are

12x-5y+14=0 \\ 12x-5y-14=0

<u>Solution-</u>

Let a point which is 1 unit away from the line 12x-5y-1=0 is (h, k)

The applying the distance formula,

\Rightarrow \left | \frac{12h-5k-1}{\sqrt{12^2+5^2}} \right |=1

\Rightarrow \left | \frac{12h-5k-1}{\sqrt{169}} \right |=1

\Rightarrow \left | \frac{12h-5k-1}{13} \right |=1

\Rightarrow 12h-5k-1=\pm 13

\Rightarrow 12h-5k=\pm 14

\Rightarrow 12h-5k=14,\ 12h-5k=-14

\Rightarrow 12h-5k-14=0,\ 12h-5k+14=0

\Rightarrow 12x-5y-14=0,\ 12x-5y+14=0

Two equations are formed because one will be upper from the the given line and other will be below it.

4 0
2 years ago
What single decimal multiplier would you use to increase by 10% followed by a 16% decrease?
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So a decrease of 16% followed by an increase of 14% is the same as multiplying by 0.9576 (which is a decrease of 4.24%)
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