Answer:
(4/3, 7/3)
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
- Subtraction Property of Equality
<u>Algebra I</u>
- Terms/Coefficients
- Coordinates (x, y)
- Solving systems of equations of using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
7x - y = 7
x + 2y = 6
<u>Step 2: Rewrite Systems</u>
Equation: x + 2y = 6
- [Subtraction Property of Equality] Subtract 2y on both sides: x = 6 - 2y
<u>Step 3: Redefine Systems</u>
7x - y = 7
x = 6 - 2y
<u>Step 4: Solve for </u><em><u>y</u></em>
<em>Substitution</em>
- Substitute in <em>x</em>: 7(6 - 2y) - y = 7
- Distribute 7: 42 - 14y - y = 7
- Combine like terms: 42 - 15y = 7
- [Subtraction Property of Equality] Subtract 42 on both sides: -15y = -35
- [Division Property of Equality] Divide -15 on both sides: y = 7/3
<u>Step 5: Solve for </u><em><u>x</u></em>
- Define original equation: x + 2y = 6
- Substitute in <em>y</em>: x + 2(7/3) = 6
- Multiply: x + 14/3 = 6
- [Subtraction Property of Equality] Subtract 14/3 on both sides: x = 4/3
Answer: 4/5 of a box of candy
Step-by-step explanation:
Justine sold 1¹/₅ times the ²/₃ of a box of candy that Grayson sold.
Justin sold;
= 1¹/₅ * ²/₃
= 6/5 * 2/3
= 12/15
= 4/5 of a box of candy
Answer:
Step-by-step explanation:
Sorry, I could do only the first three questions
Answer:
Answer: 3
Step-by-step explanation:
Use BODMAS
<u>Step 1: Open bracket (1 2/5 +3.5÷1 1/4 )</u>
<em>Convert mixed fractions into improper fractions</em>
7/5 + 3.5 ÷ 5/4
<em>Divide 3.5 by 5/4</em>
7/5 + 2.8 = 4.2
<u>Step 2: Carry out all divisions</u>
<em>Convert mixed fraction into improper fractions</em>
4.2 ÷2 2/5 +3.4÷2 1 /8 −0.35
4.2 ÷ 12/5 + 3.4 ÷ 17/8 - 0.35
1.75 + 1.6 - 0.35
<u>Step 3: Solve</u>
1.75 + 1.6 - 0.35
3.35 - 0.35
Answer = 3
