It's a because 5 divided by 9 equals .555555555555556. The 6 is just from rounding the number. Otherwise the five would go on forever. The bar means go on forever. So it .5 with a bat over the 5
Answer:
1. 10n
2. 3x^2z^2
3. 2(9n^3 - 3n^2 + 3n - 1)
4. (Put the same thing)
5. There are no common factors so it is completely factored out.
Step-by-step explanation:
For 1, you gotta find the gcf of the numbers and the variables. So, the common factor of 90, 70, 70, and -80 is 10. Nothing else greater than 10 divides these numbers. For the variables, only "n" is the GCF, as there is one "n" and all the other numbers have n^2 and etc.
For 2, same thing, you have to find the gcf for the numbers and the variables.
3. same thing ;-; (gcf is 2 btw, nothing divides the variables because 2 has no "n".
4. theres nothing that divides the numbers or the variables. So, the gcf is just 1.
Answer:
The correct equation is: 6x+12 = 30.75
And 3 people went to the movies
Step-by-step explanation:
We will write the equation to represent this scenario.
Let x be the number of people who went for movies.
Then the price of ticket for x people will be: 6.25x
They spent $12 on refreshments and a total of $30.75 so the equation will be:

solving the equation will give us total number of people
So,

Hence,
The correct equation is: 6x+12 = 30.75
And 3 people went to the movies
Let the number of quarter be x and that of nickels be y
total number of coins will be:
x+y=85
thus
x=85-y.........i
total amount of money will be:
0.25x+0.05y=14.25....ii
substituting i in ii we get:
0.25(85-y)+0.05y=14.25
21.25-0.25y+0.05y=14.25
7=0.2y
y=7/0.02
y=35
thus
x=85-35=50
the number of quarters was 50 and that of nickels was 35
Answer:
WX = 7.9
Step-by-step explanation:
By applying tangent rule (law of tan) in the given right triangle WXY.
tan(W) = 
tan(27)° = 
0.509525 = 
WX = 
WX = 7.85
WX ≈ 7.9
Therefore, length of side WX is 7.9 units.