There were <u>14 boys</u> at Mina's disco for her birthday.
<h3>What is a ratio?</h3>
A ratio is a quantitative value that shows the number of times a certain value is in another value.
<h3>The number of boys at the disco can be calculated as shown below:</h3>
It is given that for every 2 boys at the disco, there were 3 girls. This means that the ratio of boys to girls at the disco is 2:3.
Let the proportionality constant be x.
Therefore total boys and girls are 2x and 3x respectively.
There are 35 kids at the disco. This means that the number of boys plus girls is 35. It can be written as shown below:
<em>2x + 3x = 35</em>
<em>⇒ x = 35/5</em>
<em>⇒ x = </em><u><em>7</em></u>
<u />
Total number of boys = 2x
= 2 * 7
= <u>14 boys</u>
<u />
Therefore the total number of boys at the disco is <u>14</u>.
Learn more about ratios here: brainly.com/question/13513438
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Answer:
x=8
Step-by-step explanation:
The figure is shown in the attached figure.
We have, LK║OM. We need to find the value of x.
It is based on side-splitter theorem. If a line is parallel to third side of a triangle, then the points that intersects the two lines, it divides proportionally.
Using it in given problem. So,
Nk = x+2, KM = x-3, NL = x and LO = x-4
So,
Cross multiplying, we get :
So, the value of x is 8.
You are correct..........