Answer: 12 boys at the movie
Step-by-step explanation:
The ratio of boys to girls is 4:7. There are 21 girls at the movie. This is 3 times more than the simplified ratio of girls to boys. Thus, to find the answer, multiply 4 by 3 to get 12 boys at the movie.
28°
a triangle = 180°
180°-140°= 40°
180°-68°= 112°
180°-112°-40°= 28°
Solve for x:
10 (x + 2) = 5 (x + 8)
Expand out terms of the left hand side:
10 x + 20 = 5 (x + 8)
Expand out terms of the right hand side:
10 x + 20 = 5 x + 40
Subtract 5 x from both sides:
(10 x - 5 x) + 20 = (5 x - 5 x) + 40
10 x - 5 x = 5 x:
5 x + 20 = (5 x - 5 x) + 40
5 x - 5 x = 0:
5 x + 20 = 40
Subtract 20 from both sides:
5 x + (20 - 20) = 40 - 20
20 - 20 = 0:
5 x = 40 - 20
40 - 20 = 20:
5 x = 20
Divide both sides of 5 x = 20 by 5:
(5 x)/5 = 20/5
5/5 = 1:
x = 20/5
The gcd of 20 and 5 is 5, so 20/5 = (5×4)/(5×1) = 5/5×4 = 4:
Answer: x = 4
The answer is X=-7 and X=6
