+ The volume of each candle is : 6*5*14= 420 cm³
+ The company used 4620 m³, so we have 4620:420= 11 candles
That is for you, 11 candles
I'm assuming that the 3434 is a typo error. It should be 34.
Marni: 18 + 0.80m
Sharika: 12 + 0.9m
x = Sharika's minutes
x + 34 = Marni's minutes
[18 + 0.80(x+34)] + [12 + 0.90(x)] = 264
18 + 0.80x + 27.2 + 12 + 0.90x = 264
0.80x + 0.90x = 264 - 18 - 27.2 - 12
1.70x = 206.80
x = 206.80/1.70
x = 121.65 or 122
x + 34 = 122 + 34 = 156 minutes.
Answer:
6 times she can choose courses
No, it cannot be simplified.
Prime factors of 927:3*3*103
Prime factors of 100:2*2*5*5
No factors are in common, so this is the most simplified state.
Volume of the pyramid:
V = 1/3 · B · h
B = 8 ft²
tan 30° = height / 7√3
1/√3 = height / 7√3
height = 7 ft
V = 1/3 · 8 · 7 = 18.67 ft³ ≈ 19 ft³
Answer : D ) 19 ft³