Answer:
add 7
Step by step explain:
Answers
Part 1 = 2/9
Part 2 =5/9
Part 3 =7/9
Explanation
To convert the a repeating decimals this are the steps;
Part 1
Let x = 0.222222... (i)
10x = 2.222222... (ii)
Subtract equation (i) from equation(ii)
10x = 2.222222....
-x = 0.222222....
9x = 2.00000..
∴ 9x = 2
Divide by 9 both sides;
x = 2/9
Part 2
Let x = 0.5555...
10x = 5.5555...
subtract equation (i) from equation (ii).
10x = 5.5555..
- x = 0.5555..
9x = 5.0000..
∴ 9x = 5
x = 5/9
Part 3
Let x = 0.7777....
10x = 7.7777...
Subtracting equation (i) from equation (ii)
10x = 7.7777...
-x = 0.7777...
9x = 7.000..
∴ 9x = 7
x = 7/9
Pattern noted
When converting the repeating decimals to fraction only one number was repeating. This made the three decimals have the same fraction.
The number of tickets required by Rick to win the prize is given by the equation A = 3 tickets
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of tickets required by Rick to win the prize be A
Now , the equation will be
The initial number of tickets with Rick = 27 tickets
The total number of tickets to win the prize = 30 tickets
So , the remaining number of tickets A = total number of tickets to win the prize - initial number of tickets with Rick
Substituting the values in the equation , we get
The remaining number of tickets A = 30 - 27
The remaining number of tickets A = 3 tickets
Hence , the number of tickets required is 3 tickets
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What percent is equal to 3/10