V=(4/3)pir^3
4.5pi=(4/3)pir^3
divide both sides by pi
4.5=(4/3)r^3
times 3/4 both sides
3.375=r^3
cube root both sides
1.5=r
radius is 1.5cm
Answer:
B
Step-by-step explanation:
1/3
Answer:
750 grams of 60% alloy
Step-by-step explanation:
Define x = amount of 60% alloy and y = amount of 20% alloy
Equating the amounts of gold:
0.6x+0.2y = 1000(0.5)
Since there must be 1000 grams total:
x+y = 1000
Writing the 2 resulting equations together:
0.6x + 0.2y = 500
x + y = 1000
Multiply the first equation by 5:
3x + y = 2500
x + y = 1000
Subtracting the 2nd equation from the 1st:
2x = 1500
x = 750
Answer: 750 grams of 60% alloy
600 + 9.5x (less than or equal to) 900
600 fixed amount
9.5 is the variable changing amount and differs among number of students taken
Answer: -144.1226
Step-by-step explanation: