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1 year ago

Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?

Mathematics

1 answer:

MrMuchimi1 year ago

8 0

The solution to the inequality is x > 3

The number line that represent the solution set will be:

A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right. The correct option is the second option

<h3>Linear Inequalities </h3>

From the question, we are to determine the number line that represents the solution set for the given inequality

The given inequality is

3(8 – 4x) < 6(x – 5)

First, we will solve the inequality

3(8 – 4x) < 6(x – 5)

Clear the brackets

24 - 12x < 6x - 30

Collect like terms

24 + 30 < 6x + 12x

54 < 18x

Divide both sides by 18

3 < x

∴ x > 3

Hence, the number line that represent the solution set will be:

A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right. The correct option is the second option

Learn more on Linear inequalities here: brainly.com/question/28003708

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Your job in a company is to fill quart-size bottles of oil from a full 100-gallon oil tank. Then you are to pack 12 quarts of oi

Andreyy89

Answer:

33 cases of oil

Step-by-step explanation:

You start with 100 gallons of oil.

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2 years ago

What is the equation of the line that contains point(3, -2) and has a slope of 5?

Olenka [21]

Answer:

y = 5x - 17

Step-by-step explanation:

y = mx + c

m = the gradient/slope = 5

y = 5x + c

Substitute (3, -2) into the equation above to find c.

-2 = 5(3) + c

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-2 - 15 = c

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y = 5x - 17

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2 years ago

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Solve for X

tigry1 [53]

Answer:

$x = \pm e^{-1}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality

Algebra I

Solving quadratics
Multiple roots

Algebra II

Logarithms
Euler's number e

Step-by-step explanation:

Step 1: Define

$\displaystyle ln(x^2) = -2$

Step 2: Solve for x

Raise both sides by e: $e^{\displaystyle ln(x^2)} = e^{-2}$
Simplify equation: $x^2 = e^{-2}$
Square root both sides: $x = \pm e^{-1}$

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Georgia [21]

Answer:

1200

Step-by-step explanation:

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In order to find how many bricks just divide (120x120x120)/(8x12x15)=1200 bricks

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1 year ago