Answer:
There are 12 boys at the movie.
Step-by-step explanation:
<u>Key skills needed in order to solve: Proportions, Ratios, and Multiplication</u>
1) The ratio is 4 boys : 5 girls --> It can be written as a fraction --> 4/5
2) If there are 15 girls, we need to find the number of boys. let's say x is the number of boys when there are 15 girls. The ratio would then be x/15
3) Make a proportion --> =
You have to cross multiply here. You do the first fraction's numerator times the second fraction's denominator, and the first fraction's denominator times the second fraction's numerator.
4) This means you have to do: 4(15) = 5(x)
5) Multiply it out --> 60=5x
6) Divide by 5 and you will get x=12
Therefore there are 12 boys at the movie.
<em>Hope you understand and have a nice day!! :D</em>
The greatest common factor would be 8.
Hope this helps! (:
Answer:
156
Step-by-step explanation:
Each triangle has an angle sum of 180 degrees, so the sum of the interior angles of the 15-gon must be (n-2) 13 × 180 = 2340 degrees. Since the 15-gon is regular, this total is shared equally among the 15 interior angles. Each interior angle must have a measure of 2340 ÷ 15 = 156 degrees.
1) x+y=302x+9y=172x=-y+30-2y+60+9y=1727y=112y=16x=14
14 2-point questions and 16 9-point questions
2) c+a=163
6c+13a=1566
c=-a+163
-6a+976+13a=1566
7a=588
a=84
c=79
84 adult tickets and 79 children tickets
3) a+c=15; ax+cy=132
8+7=15; 8x+7y=132
a+c=9; ax+cy=72
4+5=9; 4x+5y=72
8x+7y=132
4x+5y=72
(8x+10y)=(144)
8x=-7y+132
8x=-10y+144
-7y+132=-10y+144
3y=12
y=4
4x+20=72
4x=52
x=13
The price for an adult ticket is $13 and the price for a child ticket is $4
The answer to you question is 5353 because height=13428.7 x tan (21’44’) = 5353