Hi there!
quarter:18
<u><em>1.Find common denominator in 4 and 1/2:</em></u>
<u><em /></u>
<u><em /></u>
<u><em /></u>
<u><em /></u>
<u><em>2.Convert 4 2/4 into mixed number:</em></u>
<u><em /></u>
<u><em /></u>
<u><em>3.Divide 18/4 by 1/4:</em></u>
<u><em /></u>
<u><em /></u>
Therefore, there is 18 quarters in 4 1/2.
AD = 42-x
The bisector of an angle of a triangle divides the opposite side into segments that are proportional to the adjacent sides ⇒
AB/BC = AD/DC
36/27 = (42-x)/x
36x = 27(42-x)
36x = 1134 - 27x
36x + 27x = 1134
63x = 1134
x = 1134/63
x = 18
Miles per hour
(15 and 3/4) miles per 3 hours
remember that
(a+b)/c=(a/c)+(b/c)
and
a and c/d=a+c/d
so
(15 and 3/4)/3=(15/3)+(3/4)/3
remember that dividing by a number is like multiplying by a fraction
15/3=5
(3/4)/3=(3/4) times (1/3)=3/12=1/4
(15/3)+(3/4)/3=5+1/4=5 and 1/4
answer is 5 and 1/4 miles per hour
C. 4x + y = 21
4(3) + 9 = 21
12 + 9 = 21
21 = 21
Step-by-step explanation:
S+T+U=180°{sum of angle of triangle}
- 68°+90°+U=180°
- U=180-158°
- U=22°
sin theta= p/h
sin22°=x/83
o.37=x/83
x=0.37×83
x=30.71
x=31
stay safe healthy and happy.
