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2 years ago

4. What value of x makes the inequality true? 3(2x - 1) - 11x S -3x + 5

Mathematics

1 answer:

NNADVOKAT [17]2 years ago

6 0

Answer:

A. {x: x ≥ -4}

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients
{Builder Set Notation}

Step-by-step explanation:

Step 1: Define

Identify

3(2x - 1) - 11x ≤ -3x + 5

Step 2: Solve for x

[Distributive Property Distribute 3: 6x - 3 - 11x ≤ -3x + 5
[Subtraction] Combine like terms: -5x - 3 ≤ -3x + 5
[Addition Property of Equality] Add 5x on both sides: -3 ≤ 2x + 5
[Subtraction Property of Equality] Subtract 5 on both sides: -8 ≤ 2x
[Division Property of Equality] Divide 2 on both sides: -4 ≤ x
Rewrite: x ≥ -4

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What is the value of n in the equation 1/2(n – 4) – 3 = 3 – (2n + 3)?

Travka [436]

Distribute 1/2 to (n – 4):

 $\frac{1}{2} \times n = \frac{1}{2}n$
$\frac{1}{2} \times -4 = -2$

Subtract (2n + 3):

 $- (2n + 3) = -2n -3$

Your equation should now look like this:

 $\frac{1}{2}n - 2 - 3 = 3 - 2n - 3$

Combine like terms on both sides:

 $-2 - 3 = -5$
$3 - 3 = 0$
$\frac{1}{2}n - 5 = -2n$

Subtract 1/2n from both sides:

 $-5 = -\frac{5}{2}n$

Divide both sides by -5/2 to get n by itself:

 $n = 2$

The value of n is 2.

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2 years ago

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sallys cup cake shop sold a total of 63 cupcakes yesterday and 32 of those had sprinkles how many cupcakes were sold without spr

lianna [129]

Answer:

Step-by-step explanation:

63-32=31

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3 years ago

The Chang family is on their way home from a cross-country road trip. During the trip, the function D (t) = 3260 - 55t can be us

Lilit [14]

Answer:

See below.

Step-by-step explanation:

D(t) = 3260 - 55t

The function that shows their distance from home as a function of time shows that they started 3260 miles from home and are driving at 55 miles per hour.

part a:

D(12) = 3260 55(12)

D(12) = 3260 - 660

D(12) = 2600

Interpretation: After 12 hours of driving home, they are 2600 miles from home.

part b:

D(t) = 2490

3260 - 55t = 2490

-55t = -770

t = 14

Interpretation: When they are 2490 miles from home, they have driven for 14 hours.

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