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Rama09 [41]
3 years ago
11

Mario has received 16 unlabeled thumb-drives with ads on them. he has 8 gray drives which have the print ad, 4 pink drives which

have the digital display ad, and 4 blue drives with the video ad. what is the minimum number of thumb-drives he must open to ensure that he has one of each color with each ad?*
Mathematics
1 answer:
harkovskaia [24]3 years ago
4 0
Mario has 8 gray drives which have the print ad, 4 pink drives which have the digital display ad, and 4 blue drives with the video ad.
<span>
</span><span>The most unsuccessfull way of opening drives is: 1st - grey, 2nd - grey, 3 - rd grey and so on untill all 8 gray drives are opened, then 9th - pink, 10th - pink, 11th - pink, 12th - pink  (or 4 blue) and then blue one (or pink one) drive.
</span><span>
</span><span>He must open 13 drives to ensure that he has one of each color with each ad. </span>
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Answer:

<em>The base is 24 cm long.</em>

Step-by-step explanation:

<u>Equations</u>

Let's call

b= base of the triangle

h=height of the triangle

The base is 9 cm longer than the height, thus:

b = h + 9

The area of the triangle is:

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\displaystyle A=\frac{(h+9)h}{2}

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\displaystyle \frac{(h+9)h}{2}=180

Multiplying by 2:

(h+9)h=360

Operating:

h^2+9h-360=0

Factoring:

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The only valid positive solution is:

h = 15 cm

And b = h + 9 = 24

b = 24 cm

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