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2 years ago

6

The volume of a cube is 27 cubic inches. What is the length of one edge of the cube?

2 answers:

dexar [7]2 years ago

8 0

Answer:

3

Step-by-step explanation:

27/3/3 give you your answer

Dvinal [7]2 years ago

5 0

The answer is 3, check your work by either cubing 3 or dividing 27/3/3

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Solve the inequality for x<br> 3^(6x+18)<27^(3x)

Lera25 [3.4K]

Answer:

$\displaystyle x > 6$

General Formulas and Concepts:

<u>Pre-Algebra</u>

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
Subtraction Property of Equality

<u>Algebra I</u>

Terms/Coefficients
Factoring

<u>Algebra II</u>

Exponential Rule [Powering]: $\displaystyle (b^m)^n = b^{m \cdot n}$
Solving exponential equations

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

<em /> $\displaystyle 3^{6x + 18} < 27^{3x}$ <em />

<em />

<u>Step 2: Solve for </u><em><u>x</u></em>

Rewrite: $\displaystyle 3^{6x + 18} < 3^{3(3x)}$
Set: $\displaystyle 6x + 18 < 3(3x)$
Factor: $\displaystyle 3(2x + 6) < 3(3x)$
[Division Property of Equality] Divide 3 on both sides: $\displaystyle 2x + 6 < 3x$
[Subtraction Property of Equality] Subtract 3x on both sides: $\displaystyle -x + 6 < 0$
[Subtraction Property of Equality] Subtract 6 on both sides: $\displaystyle -x < -6$
[Division Property of Equality] Divide -1 on both sides: $\displaystyle x > 6$

8 0

3 years ago

Read 2 more answers

Help me.A towns population went from 25,800 people to 48,200 people in ten years. What is the percent

solong [7]

The percent increase in population is: 87%

Further explanation:

The percent change is given by:

$Percent\ increase=\frac{Increase}{Original\ number}*100$

Given

Population before 10 years = 25800 people

Population after 10 years= 48200 people

$Increase=48200-25800=22400\ people$

Putting the values in the formula:

$Percent\ Increase=\frac{22400}{25800}*100\\=0.8682*100\\=86.82\%\\Rounding\ off\ to\ nearest\ percent\\87\%$

The percent increase in population is: 87%

Keywords: Percentage, Population

Learn more about percentage at:

#LearnwithBrainly

3 0

3 years ago

If a,b,c are in arithmetic sequence then a = ...

andriy [413]

Answer:

If a, b and c are in arithmetic progression, that means that a + c = 2b. So a + b, a + c and b + c are also in arithmetic progression.

This might help.

8 0

3 years ago

Read 2 more answers

What is the answer and how do u get that answer

earnstyle [38]

Let me see a better picture

3 0

3 years ago

Solve for x.<br> 5<br> 10<br> 12<br> 13

zysi [14]

Answer: B) 4 & 1/6

Nice work on getting the correct answer.

============================================================

Explanation:

x is opposite the marked acute angle

5 is opposite the corresponding acute angle

So x and 5 are proportional to each other. We can form the ratio x/5

Similarly, 10 and 12 are proportional to one another. We can form the ratio 10/12.

Set those ratios equal to each other and solve for x

x/5 = 10/12

12x = 5*10 ... cross multiply

12x = 50

x = 50/12 ...... divide both sides by 12

x = (25*2)/(6*2)

x = 25/6

x = (24+1)/6

x = 24/6 + 1/6

x = 4 + 1/6

x = 4 & 1/6 which shows why <u>choice B</u> is the answer.

Side note: 25/6 = 4.167 approximately

8 0

3 years ago

Read 2 more answers