Answer:
This would represent 9/4, or 2 1/4
Step-by-step explanation:
9/10 / 4/10 = 9/4
Answer:
The number b is bigger than the number a by
of a.
Step-by-step explanation:
1. If the number a is smaller than the number b by 1/5 of b, then

Thus,

2. Consider the expression 

This gives you that the number b is bigger than the number a by
of a.
Answer:
Step-by-step explanation:
Red = 6
Blue = 3
Green = 5
Total = 14
First marble = 6/14 = 3/7 You now have 5 reds and 13 total
Second Marble = 5 * 13 which brings you down to 4 red and 12 total.
Third Marble = 4/12 = 1/3
Result
P(3 Red) = 3/7 * 5/13 * 1/3 cancel the 3s
P(3 Red) = 1/7 * 5/13
P(3 Red) = 5/91
P(3 Red) = 0.0549 . Rounding to the nearest 1/100 depends on what you have been told about rounding. I would say the answer is 0.05 but your teacher may say something different.
Answer:
5x +20
Step-by-step explanation:
Answer:
(32/5, -48/5)
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>
</u>
<u>Algebra I</u>
- Terms/Coefficients
- Coordinates (x, y)
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
-4x + 16 = y
2x - 32 = 2y
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 2x - 32 = 2(-4x + 16)
- Distribute 2: 2x - 32 = -8x + 32
- [Addition Property of Equality] Add 8x on both sides: 10x - 32 = 32
- [Addition Property of Equality] Add 32 on both sides: 10x = 64
- [Division Property of Equality] Divide 10 on both sides: x = 32/5
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: -4x + 16 = y
- Substitute in <em>x</em>: -4(32/5) + 16 = y
- Multiply: -128/5 + 16 = y
- Add: -48/5 = y
- Rewrite/Rearrange: y = -48/5