Answer:
30 small pretzels were sold that night.
Step-by-step explanation:
x = small pretzels
y = large pretzels
x + y = 50
2x + 4.5y = 150
x + y - y = 50 - y
x = 50 - y
2(50 - y) + 4.5y = 150
100 - 2y + 4.5y = 150
2.5y = 50
------- -----
2.5 2.5
y = 20
x + 20 = 50
x + 20 - 20 = 50 - 20
x = 30
Step-by-step explanation:
The pendulum swings over an angle of 2×(2°30') or 5° so we need to convert this to radian measure first:

so the arc length is given by

Answer:
3 : 4 = 12 : 6
2 : 5 = 30 : 75
7 : 9 = 14 : 18
8 : 3 = 64 : 24
Step-by-step explanation:
3 : 4 = 12 : ?
3/4 = 12/?
3 x ? = 12 x 4
3 x ? = 48
? = 48 ÷ 3 = 16
2 : 5 = 30 : ?
2/5 = 30/?
2 x ? = 30 x 5
2 x ? = 150
? = 150 ÷ 2
? = 75
7 : 9 = ? : 18
7/9 = ?/18
7 x 18 = ? x 9
126 = ? x 9
? = 126 ÷ 9
? = 14
8 : 3 = 64 : ?
8/3 = 64/?
8 x ? = 64 x 3
8 x ? = 192
? = 192 ÷ 8
? = 24