Answer:
The rate of the second car is 30 miles/hour
Step-by-step explanation:
The Given formula is:
4(r + 15) + 4r = 300, where r is the rate for the second car
Let us solve the equation to find r
→ Multiply 4 by (r + 15) first
∵ 4(r + 15) = 4(r) + 4(15) = 4r + 60
→ Substitute it in the equation above
∴ 4r + 60 + 4r = 300
→ Add the like terms in the left side
∵ (4r + 4r) + 60 = 300
∴ 8r + 60 = 300
→ Subtract 60 from both sides
∴ 8r + 60 - 60 = 300 - 60
∴ 8r = 240
→ Divide both sides by 8
∴ 
∴ r = 30
∴ The rate of the second car is 30 miles/hour
You equation will be
2550 + (2550 X 8%)
2550 + (2550 X 0.08)
2550 + 204
= 2754
Answer:
(20,5) is NOT a solution of the equation 
.
The point (20,5) implies that there are 20 small tables and 5 large tables.
Step-by-step explanation:
We have been given that a catering company is expecting 150 people to attend the wedding. There are two types of tables, ones which can fit 6 people and ones which can fit 10 people.
If there are x tables which can fit 6 people and there are y tables which can fit 10 people, we can express the total number of people that can fit on all available tables as: 
.
Since there are total 150 people expected in the wedding, the equation can be framed as: .
Let us check if the point (20,5) is a solution of the equation.
Since we get a false statement, therefore, (20,5) is NOT a solution of the equation .
The point (20,5) implies that there are 20 small tables and 5 large tables.
Answer:
Step-by-step explanation:
First, recall the 4 basic imaginary exponents:
So, we want to find:
This is the same as:
52 is 4 times 13. Thus:
Since we know that i to the fourth is 1:
Simplify:
And this equals:
So:
