Answer:
qn 10. 15mn² - 23m²n +4m³
Step-by-step explanation:
1. distribute 4m through the parenthesis
8mn² - 12m²n + 4m³ - 2n(5m² - 3nm) + nm(n-m)
2. use the commutative property to reorder the terms
8mn² - 12m²n + 4m³ - 2n(5m² - 3mn) + mn(n - m)
3. distribute -2n through the remaining parenthesis
8mn² - 12m²n + 4m³ -10m²n + 6mn² + mn² - m²n
4. collect like terms
8mn² + 6mn² + mn² - 12m²n - 10m²n - m²n + 4m³
5. complete bodmas
15mn² - 23m²n +4m³
that's is how you do it so the answer is
15mn² -23m²n + 4m³
60 percent because 3/5= 0.6 and multiply by 100 its 60
B = no. of buses
v = no. of vans
b + v less than or equal to 8 ( there are only 8 drivers, but don't have to use them all)
51b + 8v greater than or equal to 193 (the number of seats must be at least 193 but there can be spares)
So these are the inequalities to solve. I did start doing a linear programming graph but the second inequality is horrible so I hope you don't need to actually solve them.
Answer:
35 cm
Step-by-step explanation:
You can use the Cosine Rule to find the length of a side when two sides and the included angle are given.
a² = b² + c² - 2bc cos A
a² = (36²) + (52²) - 2(36)(52) cos 42°
a² = (1296) + (2704) - (3744)(0.7431448255)
a² = (4000) - (2782)
a² = 1218
a = ✓1218
a = 34.9 cm
Answer:
1 minute
Step-by-step explanation:
1km = 1000m
30km = 30000m
30km ÷ 60 = 500m
it takes one hour to go 30km or a ratio of 30km to 1hour. 1hour is also 60minutes. 30:60
divide both sides by 60 gets 500m and the amount of time to go that distance 1 minute