Answer:
Greatest number of flowers that can be used in a bouquet is 8.
Step-by-step explanation:
In this question greatest number of flowers used in a bouquet will be decided by the "Greatest Common Factor" of the numbers of the flowers given.
So, factors of 16 = 1×2×2×2×2
Factors of 8 = 1×2×2×2
Factors of 32 = 1×2×2×2×2×2
Common factors = 1×2×2×2
Greatest Common Factor of these numbers will be = 1×2×2×2 = 8.
Therefore, greatest number of flowers that could be in a bouquet is 8.
Answer: Capacity of Marshfield Stadium is 109,015 and capacity of Bowden is Bowden.
Step-by-step explanation:
Let x = Capacity of Marshfield Stadium.
y = Capacity of Bowden.
As per given, we have
x - y = 7,675 (i)
x+y = 210,355 (ii)
2x = 218030 (iii)

Put value of x in (i) , we get
109015 - y = 7675
⇒ y= 109015 - 7675
⇒ y= 101,340
Hence, capacity of Marshfield Stadium is 109,015 and capacity of Bowden is Bowden.
Answer:
(b) 4,445
Step-by-step explanation:
If the researcher would like to be 95% sure that the obtained sample proportion would be within 1.5% of p (the proportion in the entire population of U.S. adults), what sample size should be used?
Given a=0.05, |Z(0.025)|=1.96 (check standard normal table)
So n=(Z/E)^2*p*(1-p)
=(1.96/0.015)^2*0.5*0.5
=4268.444
Take n=4269
Answer:(b) 4,445
Answer:
8 pieces of candy
Step-by-step explanation:
Take the original amount of candy in the bowl to be
.
It says that 20 pieces of candy were added, therefore there are
pieces of candy in the bowl.
Half of the candy is gone, therefore
pieces of candy are left in the bowl.
After half of the candy is gone, there are 14 pieces left, so we can say that 
Solve for
:


First Step: What two multiples have perfects squares that equal 48 and 12? P.S They also need to have a common multiple so you can combine like terms in the end.
16*3=48
4*3=12
Second Step: Now use those multiples to split up your square roots so you will have perfect squares.
2√48 + 2√12=
2√16 ×√3 + 2√4×√3= Now Simplify!
2×4×√3 + 2×2×√3= Multiply!
8√3 + 4√3
Third Step: Now that they look alike you can just add them.
Answer: 12√3