Answer:
Step-by-step explanation:
assuming the recurring digits are 0.272727.... , then
we require 2 equations with the repeating digits placed after the decimal point.
let x = 0.2727.... (1) ← multiply both sides by 100
100x = 27.2727... (2)
subtract (1) from (2) thus eliminating the repeating digits
99x = 27 ( divide both sides by 99 )
x = 
= ← in simplest form
Answer:
The flip flops cost $25.56 after the discount and tax.
Step-by-step explanation:
A pair of flip flops is $30. This is our starting amount.
The tax will be applied on the price the flip flops are bought for. This means we must apply the discount first.
The discount is 20%. Let's find what the flip flops were sold for.
If the discount is 20%, the flip flops were sold for 80% of their original price. Let's find 80% of 30.
80% of 30 = ?
0.80 • 30 = ?
= 24
The flip flops were sold for $24.
Now we have to apply a 6.5% tax. To find the amount of money added to the total, we need to find 6.5% of 24.
6.5% of 24 = ?
0.065 • 24 = ?
= 1.56
The tax was $1.56.
We need to add the tax to the discounted price.
1.56 + 24 = ?
= 25.56
The flip flops cost $25.56 after the discount and tax.
Hope this helps!
Answer:
Maria's string is 45 cm long and Katy's string is 39 cm long
Step-by-step explanation:
Let's call the size of Maria's string X, and the size of Katy's string Y.
So, using the information from the problem, we can formulate a system of equations:
If Maria's string is 6 cm longer than Katy's, so:
X = Y + 6
If the strings together have 84 cm, so:
X + Y = 84
The first equation can be rewritten as X - Y = 6
Summing up both equation, we have that:
2X = 90
X = 45
Using X value in the first equation, we have that:
45 = Y + 6
Y = 39
So, Maria's string is 45 cm long and Katy's string is 39 cm long
The answer to this problem is 21/16
