Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
<u>Algebra I</u>
- Terms/Coefficients/Degrees
Step-by-step explanation:
<u>Step 1: Define</u>
<u />
<u />
<u />
<u>Step 2: Simplify</u>
- Distribute:

- Multiply:

- Rearrange:

- Combine like terms:

Answer:
35%
Step-by-step explanation:
Answer:
.
Step-by-step explanation:
Given information:
Radius of circle = 8 cm
Area of sector =
Formula for area of sector is
where, r is radius and
is central angle in radian.
Substitute
and r=8 in the above formula.
Therefore, the measure of the sector in radians is
.
Answer:
36 pencils
Step-by-step explanation:
Let h and p represent the number of highlighters and the number of pencils, respectively.
Then h + p = 45, and h = 45 - p.
Tom paid a total of $30 for these supplies, with ($2/highligher)(h) + ($0.333/pencil) adding up to that amount.
substituting 45 - p for h in 2h + 0.333p = 30, we get:
2(45 - p) + 0.333p = 30, or
90 - 2p + 0.333p = 30
Combine the constants: 60 = 2p - 0.333p, or 60 = 1.667p
Then p = 60/1.667 = 35.9928, or 36.
Tom bought 36 pencils for $12, and 45-36, or 9, highlighters for $18, for a total purchase of $30. This shows that these calculations are correct.
Answer:
To do this, you need to multiply out the expressions. This is a bit tedious, but remember like FOIL for binomials, for these trinomials you must multiply each term. If you need a step-by-step, I'd be happy to provide it. Let me know.
Once you have simplified the expression, you get
-x-9/2x-4
But, the problem stipulates that a must equal 1. We can equivalently factor out the negative sign and put it on the denominator with no change to write
x+9/-(2x-4) = x+9/-2x+4
So, seeing where each coefficient corresponds between the two expressions, you get a = 1, b = 9, c = –2, and d = 4.