Answer:
diameter = 3,600 units
Step-by-step explanation:
Let
= 3.14
C = 2
r
11,304 = 2(3.14)r
r = 1,800
d = 2r = 2(1,800) = 3,600
Answer:
50 yellow marbles.
Step-by-step explanation:
Information:
170 marbles
RED : BLUE : YELLOW
9 : 3 : 5
Solving:
To find out how many yellow parts there are, we need to find out how many marbles 5 parts account to.
Altogether, 9 + 3 + 5 = 17. This means there are 17 parts.
The bag contains 170 marbles and the ratio adds up to 17 parts.
We can figure out what 1 part of the ratio accounts to by dividing 170 by 17.
= 10.
1 part = 10
Now remember yellow is 5 parts, now that we know that 1 part is 10, we need to multiply 10 by 5 to find out how many yellow marbles we have.
5 x 10 = 50.
Therefore we have 50 yellow marbles.
Answer:
Step-by-step explanation:
3x-4y=65
3x=65+4y
x=(65+4y)/3, when y=4
x=(65+4*4)/3
x=(65+16)/3
x=81/3
x=27
Answer:
The simplified expression is 16^-1/6
Step-by-step explanation:.
16^5/4•16^1 /4/ (16^1/2)^2
The dot means multiplication. The expression is rewritten as
16^5/4 × 16^1/4 / (16^1/2)^2
Recall the following rules of indices
1) y^a × y^b = y^(a+b)
2) (y^a)^b = y^ab
y^b/ y^a = y^(b-a)
Applying these rules of indices
16^5/4 × 16^1/4= 16^((5/4×1/4) = 16^((5/16)
(16^1/2)^2= 16^ 1/2×2 = 16^1 = 16
Therefore
16^5/4 × 16^1/4 / (16^1/2)^2
= 16^(5/16) /16
=16^(5/6) × 16^-1
= 16^ (5/6)-1
= 16^-1/6)
,The simplified expression is 16^-1/6