Answer:
(4, 10)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties<u>
</u>
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Coordinates (x, y)
- Coefficients
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
-5y + 8x = -18
5y + 2x = 58
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Elimination</em>
- Combine 2 equations: 10x = 40
- [Division Property of Equality] Divide 10 on both sides: x = 4
<u>Step 3: Solve for </u><em><u>y</u></em>
- Substitute in <em>x</em> [Original equation]: -5y + 8(4) = -18
- Multiply: -5y + 32 = -18
- [Subtraction Property of Equality] Subtract 32 on both sides: -5y = -50
- [Division Property of Equality] Divide -5 on both sides: y = 10
Answer:
D.
Step-by-step explanation:
115x + 170 = 630
Subtract 170 from each side of the equals,
115x = 460
Divide 460 by 115,
4
Thus, D is your correct answer.
<em>Answered by:</em>
matthewarvin06
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Answer:
P (arts) = 0.25
P (psychology) = 0.25
P (geology) = 0.5
Step-by-step explanation:
Let the probability of choosing art = x
As given that she is equally likely to choose art or psychology and twice as likely to choose geology.
So,
P (arts) = x = P (psychology)
P (geology) = 2x
The sum of the probability = 1
So,
P (arts) + (psychology) + P (geology) = 1
x + x + 2x = 1
<u>x = 0.25</u>
<u>P (arts) = x = 0.25</u>
<u>P (psychology) = x = 0.25</u>
<u>P (geology) = 2x = 2*0.25 = 0.5</u>
Answer:
Step-by-step explanation:
<h3>Hint:</h3>
- sum of the interior angles of a quadrilateral is 360°.
- Right Angle = 90°
<h3>Hope it is helpful....</h3>
