2 + 2 = 4 5 + 5 = 10 + 4 = 14 your answer is 14
Step-by-step explanation:
Using a system of equations, it is found that Peter had $48 at first.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
- Variable x: Peter's money.
- Variable y: Henry's money.
The ratio of peters money to henrys money is 4 : 3, hence:
After Peter spent $12, they had the same amount, hence:
y = x - 12.
Then, replacing in the ratio:
4(x - 12) = 3x
x = 48.
More can be learned about a system of equations at brainly.com/question/24342899
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<span>1/8,1/4,1/2,1,3/8,3/4,5/8,7/8</span>
<u>Answers </u>
Part 1 = 2/9
Part 2 =5/9
Part 3 =7/9
<u>Explanation</u>
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....
<u> -x = 0.222222....</u>
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..
<u> - x = 0.5555..</u>
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...
<u> -x = 0.7777...</u>
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.