Answer:
0.407
Step-by-step explanation:
<u>0. 4 0 7</u>
2 0 /8. 1 4 0
−<u> 0</u>
8 1
<u>− 8 0 </u>
1 4
<u> − 0 </u>
1 4 0
−<u> 1 4 0</u>
0
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:
-1
Step-by-step explanation:
You can write it as...
Carry the 4x
Then use the quadratic formula to solve, since you want to find the negative solution, you don't need to find the positive solution, so we will have
Therefore our answer is -1
You could make it true by making it (8x10) plus (8x1)
Explanation: 8x11=88 and 8x10=80 and 8x1=8 and 80+8=88
Answer:
Her mother will donate $11.20
Step-by-step explanation:
- $0.40 every 0.75 miles.
- 21 miles biked.
Step 1: Figure out how many 0.75 increments are in 21 miles.
21 ÷ 0.75 = 28
- There are 28 increments of 0.75 in 21 miles.
Step 2: Multiply 28 by $0.40
28 * $0.40 = $11.20
