Answer: x < 4
Step-by-step explanation: When solving the inequality 3x - 3 < 9, just like an equation our first step is to isolate the <em>x</em> term which is 3x by adding 3 to both sides of the inequality.
On the left, -3 + 3 cancels and we have 3x.
Make sure to bring down the < sign.
On the right, 9 + 3 simplifies to 12.
So we have 3x < 12.
Now, divide both sides of the inequality by 3 to isolate <em>x</em>.
When we do that we get <em>x < 4</em>
So our answer is x < 4.
Answer:
Step-by-step explanation:
- log8(216) + [log(42) - log(6)] ÷ log(49) =
- log (216)/ log (8) + [log (7) + log (6) - log (6)] ÷ 2 log (7) =
- 3 log (3) log (2) / 3 log (2) + log (7) / 2 log (7) =
- 3 log (3) + 1/2
We are given numbers √9 and -7.
Square root 9 is a perfect square.
Square root 9 = 3.
So, if we add square root 9 and -7, we would get
√9 + -7 = 3 -7 = -4.
So, we got a negative whole number.
<em>A negative or positive whole number is called an integer</em>.
So, it's an integer.
<h3>Therefore, correct option is D. Integer.</h3>
Step-by-step explanation:
Let n be the number of nickels that Casey has.
We are told that Megan has 4 times as many nickels as Casey has, therefore, the number of nickels that Megan has will be 4*n.
Now we will add the amounts of nickels that Casey and Megan have to find the total amount of nickels.

Therefore, the expression
will represent the total number of nickels that Casey and Megan have .
Upon combining like terms we will get,


Therefore, Casey and Megan have 5n nickels.
Using an ideal gas equation to solve the problem. Then the original volume is 17.67 liters.
<h3>What is an ideal gas equation?</h3>
An ideal gas is a theoretical composed of a set of randomly moving gas particles that interact only through elastic collision.
Given
A balloon containing 0.500 mol at 0. 00°C and 65.0 kPa pressure are expanded by adding more argon.
Pressure (P) = 65 kPa
Mole (n) = 0.5 mol
Temperature (T) = 0 °C = 273.15 K
Universal gas constant (R) = 8.317 L.kPa/mol.K
We know the ideal gas equation

Put the values, we have

Thus, the original volume is 17.67 liters.
More about the ideal gas equation link is given below.
brainly.com/question/4147359