What are the solutions of 3b + 12 > 27 – 2b

Mathematics

1 answer:

Sidana [21]2 years ago

5 0

Answer:

b > 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Equality Properties

Step-by-step explanation:

Step 1: Define

3b + 12 > 27 - 2b

Step 2: Solve for b

Add 2b on both sides: 5b + 12 > 27
Subtract 12 on both sides: 5b > 15
Divide 5 on both sides: b > 3

Here we see that any value b greater than 3 would work as a solution to the inequality.

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2 years ago

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BaLLatris [955]

First, find what percentage of students had 3 or more by adding up your known percents:

45% + 23 % + 21% + x% = 100%
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Now set up a proportion that relates it to the whole:

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Cross multiplying and solving for x results in 300 total students.

Question 1:
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3 years ago

Solve l 3x-7 l = 2

Lelechka [254]

Answer:

1) Solutions are x = 3 and x = 5/3

2) Solution are x ≤ 13/2 and x ≤ -3/2

Step-by-step explanation:

1) Given absolute inequality,

|3x-7| = 2

⇒ 3x - 7 = ± 2

⇒ 3x = 7 ± 2