Answer:
The solved given fractional expression is 
Therefore the given fractional expression becomes

Step-by-step explanation:
Given fractional expression is 
To solve the given fractional expression as below :

( here taking the term 3 as LCM )
( by adding the sums here )


Therefore the solved given fractional expression is 
Therefore the given fractional expression becomes

The solved given fractional expression is 
If a 12 oz bottle of shampoo lasted for 16 weeks, we have a ratio of 12:16 which can be shortened to 3:4.
Now if we have 18 oz bottle we know that it's 1/2 more than 12 oz bottle, so the ratio will be also 1/2 more. So if it was 12:16, the new ratio will be:
12 + (1/2 * 12) : 16 + (1/2 * 16)
12 + 6 : 16 + 8
18 : 24
It means that 18 oz bottle should last for 24 weeks. Of course the ratio has to stay the same in its lowest form in both situations and as 18:24 can be shortened to 3:4, it proves it's correct :)
Money spent + money left over = total money
money spent + 9 = 30
We don't know the price of each shirt, so let x = price of 1 shirt.
Then, 3 shirts cost 3 times as much as x, or 3x.
She spent 3x.
3x + 9 = 30
Answer:
arc ≈ 5.5 units
Step-by-step explanation:
The arc of the circle is calculated as
arc = circumference of circle × fraction of circle
= 2πr ×
( r is the radius )
= 2π × 3.5 × 
= 
≈ 5.5 ( to the nearest tenth )
Answer:
Below
Step-by-step explanation:
Use the formula 2πr^2 + 2πrh to find the Surface area of a cylinder
A = 2π(11)^2 + 2π(11)(11)
= 1520.53084....
Rounding to the nearest 10th
= 1520.5 in^2
Hope this helps!