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3 years ago

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

Mathematics

1 answer:

Sidana [21]3 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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Point R is on line segment QS. Given QS= 5x-2, QR= 3x-6, and RS=4x-2, determine the numerical length of RS.

pashok25 [27]

Answer:

The numerical length of RS is 10 units

Step-by-step explanation:

* Lets explain How to solve the problem

- Point R is on line segment QS

- The length of QS is (5x - 2)

- The length of QR is (3x - 6)

- The length of RS is (4x - 2)

- The length of QS is the sum of the lengths of QR and RS

∵ QS = QR + RS

∴ (5x - 2) = (3x - 6) + (4x - 2)

- Simplify the right hand side by adding like terms

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- Add 8 for both sides

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- Divide both sides by 2

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- To find the length of RS substitute the value of x in its expression

∵ RS = 4x - 2

∵ x = 3

∴ RS = 4(3) - 2 = 12 - 2 = 10

∴ The numerical length of RS is 10 units

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