Answer:
a. (4, 1)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
-x + 4y = -8
-5x - 4y = -16
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Elimination</em>
- Combine equations: -6x = -24
- Isolate <em>x</em>: x = 4
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define equation: -x + 4y = -8
- Substitute in <em>x</em>: -4 + 4y = -8
- Isolate <em>y</em> term: 4y = -4
- Isolate <em>y</em>: y = -1
Answer:
Answer is option C
Step-by-step explanation:
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Answer:
The equation that describes the profit the store makes in a day that X units of yo-yo is sold is P= X × $8.00 - $50.00
Step-by-step explanation:
The information given are;
The price of each yo-yo = $8.00
The only available cost is the store clerk fee cost per day = $50.00
Let us call the number of yo-yo's sold per day as X
Therefore, the amount sold per day = X × $8.00
The company's profit, P = Total sales - Total cost
∴ P= X × $8.00 - $50.00
Therefore, the equation that describes the profit the store makes in a day that X units of yo-yo is sold = P= X × $8.00 - $50.00.
Answer:
Value is x=8 and y=4
Step-by-step explanation:
Given : A right triangle 'A' hypotenuse length of x+4 and a leg of x,
and right triangle 'B' hypotenuse length of 3y and a leg length of y+4
To find : For what values of x and y are the triangles congruent by HL?
Solution :
Triangle A,
Hypotenuse: x+4
Leg: x
Triangle B,
Hypotenuse: 3y
Leg: y+4
Since the triangle A and B are congruent so, the sides of triangles are equal.
(Hypotenuse are equal) ..........[1]
and 
(Legs are equal) ..........[2]
Solving the equation of system,
Put the value of x from [2] in [1],
Substitute y in [2],
Therefore, The value of x=8 and y=4
Verifying for the values of x and y:
Triangle A,
Hypotenuse: x+4=8+4=12
Leg: x=8
Triangle B,
Hypotenuse: 3y=3(4)=12
Leg: y+4=4+4=8
Both hypotenuses and both legs are equal hence they are congruent.
