If Hannah gives her younger sister 3 shirts, it does not matter what order she hands them to her. No matter the order, it will still be the same group of 3 shirt. Since order is not important this problem can be solved using a combination.
Specifically we are asked to find 8C3 (sometimes called "8 choose 3"). This is a fraction. In the numerator we start with 8 and count down 3 numbers. In the denominator we start with 3 and count all the way down to 1. Thus we obtain,
Answer:
A ≈ 269.81 cm²
Step-by-step explanation:
This shape is a hexagon (it has 6 sides) so let's use the formula for the area of a hexagon.
A = 
Where s is the length of the sides
Substitute:
A = 
A = 
Solve:
A = 
A = 
Multiply the numerator:
A = 
A ≈ 
(The numerator reflects a rounded number, but the actual calculations are exact)
Divide the fraction:
A ≈ 
A ≈ 2.6(100)
Multiply:
A ≈ 2.6(100)
A ≈ 269.81 cm²
Therefore, the area is approximately 269.82 cubic centimeters.
I think it's the Multiplication Property of Equality.
Hope this helps you! :)
Answer:a=3/4
b=3/4
Step-by-step explanation:
3a+5b=6
9a+7b=12
-3(3a+5b)=-3(6)
9a+7b=12
-9a-15b=-18
9a+7b=12
-8b=-6
b=3/4
3a+5(3/4)=6
3a+15/4=6
3a=9/4
a=3/4
Answer:
$1.6
Step-by-step explanation:
The price of $2.32 already includes the 45% mark up hence taking the original cost to be x, it means the cost of $2.32 is 145% of the original cost
Using the concept of cross multiplication we say that if
1.45 is equivalent to $2.32
1 is equivalent to x

Therefore, the company incurs $1.6 for each plug