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:
1/8, 0.35, 0.39, 5/7, 9/10
Step-by-step explanation:
1/8 = 0.125
5/7 = 0.714
0.350
0.390
9/10 = 0.900
now let's order them from least to greatest:
0.125 , 0.350 , 0.390 , 0.714 , 0.900
= 1/8, 0.35, 0.39, 5/7, 9/10
if you have trouble with these types of problems change them all into decimals which will make things easier!
:D
Answer:
<em>6,174</em>
Step-by-step explanation:
(-33 * - 78) + (5 * 8 * 9 * 10)
Remove the brackets:
-33 * - 78 + 5 * 8 * 9 * 10
Solve like so:
-33 * - 78 = 2,574
5 * 8 * 9 * 10 = 3,600
(2,574) + (3,600)
2,574 + 3,600 = 6,174
<em>PLEASE</em><em> </em><em>DO</em><em> </em><em>MARK</em><em> </em><em>ME</em><em> </em><em>AS</em><em> </em><em>BRAINLIEST UWU</em>
We know that the sum of the interior angles of a triangle equals 180, then,in this case we have the following equation:
then, solving for b, we get:
now that we have that b = 41, we can find the measure of each angle:
49.5 mph
just multiply the miles by 2 because it is only half an hour
