The number of intersections is the number of solutions
we can see they are paralell so they will never intersect
0
C is the answer
A variable is a letter, for example x, y or z, that represents an unspecified number.
6 + x = 12
To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12.
Answer:
Time left for each question is less than 5.5 minutes
Step-by-step explanation:
Given that:
Raphael is trying to solve 5 math questions in less than 20 minutes.
3 questions have been completed which have taken 3 minutes each.
To find:
How much time is left with Raphael for each question so as to reach his goal.
Solution:
First of all, let us find the time that has been already consumed by Raphael in solving the 3 questions.
3 
3 = 9 minutes
Time left = Total Time - Time already consumed
Time left = 20 - 9 = 11 minutes
Number of questions to be solved = Total questions - Questions solved
Number of questions to be solved = 5 - 3 = 2
Average time left for each question = Time left divided by Number of questions to be solved
Average time left for each question = 11 
2 = 5.5 minutes
Therefore, time left for each question is less than 5.5 minutes.
Answer:
900 front row seats
Step-by-step explanation:
Tickets for front row seat = 220 dollars (y)
Cost of remaining seats ticket = 50 dollars (z)
Number of front row seats = x
Number of remaining seats = 2050 (w)
Total amount earned when stadium is full = 300,500 dollars (T)
so if we formulate this using our variables y,z,x,w and T problem it becomes:
y*x + z*w = T, which says the
Tickets for front row seat times Number of front row seats plus Cost of remaining seats ticket times Number of remaining seats gives us Total amount earned by the stadium.
220*x + 2050*50 = 300500
220*x = 300500-102500
220*x = 198000
divide both side by 220
x = 900
If you’re solving for a... subtract the 8 to the other side so...
-4(a+3)- 3(2a-8) = 22.
Distribute the -4 and -3 into the parentheses (two negatives multiplied together is a positive)...
-4a-12-6a+24 = 22.
Add the constants and a’s together.
-10a + 12 = 22
Subtract 12 to the other side.
-10a = 10
Divide both sides by -10.
a = -1
Check and make sure that this answer works with the problem.
-4(-1+3)-3(-2-8)=22
-4(-2)-3(-10)=22.
-8+30=22.
22=22, the answer checks out
