Write two equations with the given information:
1) x = 2y ( x is twice the value of y)
2) x + y = 42
Replace x in the second equation with the value of x in the first equation:
2y + y = 42
Simplify:
3y = 42
Divide both sides by 3:
y = 42 / 3
y = 14
Now we have the value for Y, solve for x by replacing y with 14:
x = 2y
x = 2(14)
x = 28
X = 28 and y = 14
Answer:
D
Step-by-step explanation:
The number of months in two years is 24 months.
Now, with a repayment plan of $400 per month, the total amount returned will be 400 * 24 = $9,600
Now, $8,000 was borrowed but $9,600 was returned
The amount of interest is 9600-8000 = 1600
So what percentage of 8,000 is 1600?
1600/8000 * 100 = 16/80 * 100 = 1/5 * 100 = 20%
The value of y will be 60 so the correct answer is option C.
<h3>What is a graph?</h3>
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
There is a linear relationship between the two variables x and y. For the given data in the table as well as in the graph. The expression for the two variables will be written in the form of an equation as follows:-
The expression for the data in the table:-
y = 25 x now at x = 12
y = 25 x 12 = 300
The expression for the values in the graph:-
y = 30x at x = 12
y = 30 x 12
Y = 360
How much more would the value of y be on the graph will be calculated as:-
Value = 360 - 300
Value = 60
Therefore the value of y will be 60 so the correct answer is option C.
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Answer:
p = 7/2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
Step-by-step explanation:
<u>Step 1: Define</u>
-4p + 9 = -5
<u>Step 2: Solve for </u><em><u>p</u></em>
- Subtract 9 on both sides: -4p = -14
- Divide -4 on both sides: p = 7/2
<u>Step 3: Check</u>
<em>Plug in p into the original equation to verify it's a solution.</em>
- Substitute in <em>p</em>: -4(7/2) + 9 = -5
- Multiply: -14 + 9 = -5
- Add: -5 = -5
Here we see that -5 does indeed equal -5.
∴ p = 7/2 is the solution to the equation.
