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
(16/18)
(24/27)
You just times 8 and 9 by the same number, like:
(8•2/9•2)=(16/18)
(8•3/9•3)=(24/27)
You could do any number:
(8•100/9•100)=(800/900)
Point M bisects Line RS. The length of RS is also 44 because RM and MS are congruent and MS has a length of 22.
Answer:
there are no other ratios shown but 8:6,12:9,16:12,20:15,and 24:18 are all equivalent
Step-by-step explanation:
smile time
Answer:
14 ways in all.
Step-by-step explanation:
A. If you use 2 quarters, you have to make the remaining 15� with either no
dimes or 1 dime and the rest in nickels.
That's 2 ways.
B. If you use 1 quarter, you have to make the remaining 40� with either no
dimes, 1 dime, 2 dimes, 3 dimes or 4 dimes and the rest, if any, in nickels.
That's 5 more ways.
C. If you don't use any quarters, you have to make the entire 65� with either
0, 1, 2, 3, 4, 5 or 6 dimes and the rest in nickels.
That's 7 more ways. 2+5+7 = 14 ways in all.