Answer:
The solution set is x < 2.7
Step-by-step explanation:
To start, get all of the x terms on the right side and all the constant terms on the left.
1/5 + 1/3x > 1/2x - 1/4
1/5 + 1/4 + 1/3x > 1/2x
1/5 + 1/4 > 1/2x - 1/3x
Now give the terms on each side common denominators.
4/20 + 5/20 > 3/6x - 2/6x
9/20 > 1/6x
Now we can multiply both sides by 6.
27/10 > x
2.7 > x
Answer:
Step-by-step explanation:
Invert and multiply the way you would any fraction division problem. Then cancel common factors from numerator and denominator.
Answer:
3⁸ or 6561
Step-by-step explanation:
First, let's look at PEMDAS - Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.
There are no parentheses, so let's solve the exponents.
3² • 9³
3² = 9
9³ = 729
Your expression is:
9 • 729
Now let's multiply.
= 6561
This number can also be expressed with exponents.
Since 9 = 3², 9³ = 3²⁽³⁾
Now your expression is:
3² • 3²⁽³⁾
First, solve the exponents by multiplying.
3² • 3⁶
When you multiply two expressions with exponents that have the same base (3), you add the exponents.
3² • 3⁶ = 3⁽²⁺⁶⁾ = 3⁸
3⁸ also equals 6561.
Your answer is 3⁸ or 6561.
Hope this helps!
Answer:
10
Step-by-step explanation:
