Step-by-step explanation:
1/3x=1/6
x/3=1/6
cross multiply
6x=3
divide both sides by 6
x=3/6
x=1/2
<u>Part 1</u>
Using the distance formula,

So, the measure of the longest side is 6 units.
<u>Part 2</u>
Triangle ABD will have vertices A(1,7), B(-2, 2), and D(1,2).
We already know that 
Using the distance formula,

So, ABD is a scalene triangle.
<u>Part 3</u>
From part 2, we know that the length of side AD is 5 units.
Step-by-step explanation:
<u>to show how many tickets were sold:</u>
x = upper floor tickets
y = main floor tickets
x + y = 2000
<u>to show total amount of revenue:</u>
25x + 40y = 62,000
<u>Finding answer using both equations:</u>
x + y = 2000
multiply each side by 25
25x + 25y = 2000 × 25
25x + 25y = 50,000
25x + 40y = 62,000
-
25x + 25y = 50,000
-----------------------------------
15y = 12,000
^ this is column subtraction
<em>^ this column subtraction is done to isolate y so we can work with one value rather than 2</em>
15y = 12,000
divide each side by 15
12,000 ÷ 15 = 800
y = 800
x + y = 2000
x + 800 = 2000
x = 1200
Therefore 1200 upper-level tickets were sold
800 main floor tickets were sold
Answer:
Negative Start Fraction 2 Over 3 End Fraction x minus 11

Step-by-step explanation:
we have

Convert to slope intercept form

Solve for y
That means -----> Isolate the variable y
Distribute in the right side


subtract 7 both sides


Convert to function notation
Let
f(x)=y

therefore
The linear function is
Negative Start Fraction 2 Over 3 End Fraction x minus 11
Answer: The fraction is 4/9
Step-by-step explanation: it is 4/9 because there are 4 boys and 5 girl so you add them together and than use the original 4 boys.