150——————100%
x——————-30%
x=150*30/100
x=4500/100
x=$45
He owes his brother $45
42%
42/100
Divide by 2
So the new fraction will be
21/50.
Answer:
1. 
= 3.143
2. Circumference
3. Area of the circle is 3850 
.
ii. Circumference of the circle is 220 cm.
Step-by-step explanation:
The area, A, and the circumference, c, of a circle can be determined respectively by:
A = 
C = 2r
where r is the radius of the circle.
1. the ratio of the circumference and diameter, D, of a circle is:
r = 
so that,
C = 2
C = D
=
= 
= 3.143
2. The distance around a circular region is known as it's circumference.
3. Given a circle of radius 35 cm, then:
A =
= x 
= x 1225
= 22 x 175
A = 3850
Area of the circle is 3850 .
C = 2r
= 2 x x 35
= 2 x 22 x 5
= 220
C = 220 cm
Circumference of the circle is 220 cm.
306=2*153=2*3*51=2*3*3*17
54=2*27=2*3*9=2*3*3*3,
so 306= 2*3*3*17, and 54 = 2*3*3*3
GCF we are looking for all factors that belong to both of these numbers, that are common for both numbers.
306= 2*3*3*17,
54 = 2*3*3*3
GCF = 2*3*3
LCM should include all factors that belong as first as second numbers, and we take prime factor from the number that has maximum repetition of it
306 = 2*3*3*17
54=2*3*3*3
We can see 2 - one time, 3 - 3 times , and 17 - one time
LCM =2*3*3*3*17
Product of two numbers : 306*54=(2*3*3*17) * (2*3*3*3)= 2²*2⁵*17
HCF*LCM=(2*3*3)*(2*3*3*3*17)=2²*3⁵*17
So we can see that
Product of two numbers = HCF*LCM=2²*3⁵*17
If you need you can calculate
306= 2*3*3*17,
54 = 2*3*3*3
GCF = 2*3*3=18
LCM =2*3*3*3*17=918
GCF*LCM=18*918=16524
Product of 306*54= 16524
