Answer:
It is important because they are the basics of algebra. Almost every algebraic problem you will ever solve is based on these fundamental properties. In equations, we almost never know every part of it so we will need variables to substitute the unknown amount in an equation. Variables are used for basically every equation/problem in algebra. Inequalities are not as important as variables but are still really important. Inequalities are basically comparing numbers. And in algebra when they add variables into an inequality, the inequality will help lower the number of possible values of said variable. And exponents are just a basic operation in algebra. Just like learning addition and subtraction. It is like a quicker and less complicated way of multiplying numbers.
Answer: she needs 8 quart bottles.
Step-by-step explanation:
Ms. Monet is combining 15 cups of green paint with 15 cups of white paint. This means that the total number of cups containing the mixture of green and white paint us
15 + 15 = 30
1 Us liquid quart = 4 Us cups
x Us liquid quart = 30 Us cups
Cross multiplying,
4x = 30
x = 30/4 = 7.5 quarts of paint
Since she is pouring the paint mixture into empty quart bottles, the number of quart bottles that she needs is approximately 8
Answer:
Step-by-step explanation:
y = kx
If y = 25x , then k = 25
8 ≥ y + 3 is the answer to problem 7. Also, in problem 5, I couldn't help but notice that the sign should face the other way but still include the equal to sign underneath it, because it should be 4 at MOST, meaning that 4 must be greater than or equal to y + 7.
Answer:
Step-by-step explanation:
Since the sequence is geometric (it multiplies the previous number each time). The nth term sequence would be 
Because the sequence multiplies by 3 each time, The base number in that equation would be 
.
So 
of the equation would be:
.
Compare the 2 equations:
4, 12, 36
3, 9 ,27
The difference between the 2 equations is: 1, 3, 9 which itself is a geometric sequence so the nth term of this new equation is: 
.
Combine these 2 equations together and you get:
.
