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3 years ago

9

three times the perimeter of a triangle is the same as 75 decreased by twice the perimeter. what is the perimeter of the triangl

e?

1 answer:

Tju [1.3M]3 years ago

3 0

Let the perimeter be x.

3x = 75 - 2x

Add 2x from both sides:
5x = 75

Divide both sides by 5:
x = 15

Answer: The perimeter is 15 units.

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rusak2 [61]

<h3><u>Question:</u></h3>

Juan and raj cut up a banana to put on cereal. juan puts 1/7 of the banana on his bowl of cereal, and raj puts 2/5 of the banana on his bowl of cereal.

what fraction of the banana did juan and raj put on their cereal altogether?

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<h3><u>Answer:</u></h3>

Juan and Raj altogether put 19/35 banana

<h3><u>Solution</u>:</h3>

Given that, Juan and Raj cut up a banana to put on cereal

$fraction\ of\ banana\ put\ by\ Juan = \frac{1}{7}\\\\fraction\ of\ banana\ put\ by\ Raj = \frac{2}{5}$

We have to find the fraction of banana put by Juan and Raj altogether

This means, we have to add both the fractions

$fraction\ of\ banana\ put\ altogether = fraction\ of\ banana\ put\ by\ Juan + fraction\ of\ banana\ put\ by\ Raj$

$fraction\ of\ banana\ put\ altogether = \frac{1}{7} + \frac{2}{5}\\\\\text{Cross multiply to simplify }\\\\fraction\ of\ banana\ put\ altogether = \frac{1 \times 5 + 2 \times 7}{7 \times 5}\\\\fraction\ of\ banana\ put\ altogether = \frac{5+14}{35}\\\\fraction\ of\ banana\ put\ altogether = \frac{19}{35}$

Thus they put $\frac{19}{35}$ of banana by Juan and Raj altogether

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