Answer:
x=15
Step-by-step explanation:
Step 1: Multiply both sides by 2.
Step 2: Simplify both sides of the equation.
6x+18=108
Step 3: Subtract 18 from both sides.
6x+18−18=108−18
6x=90
Step 4: Divide both sides by 6.
x=15
The rule to find the term is: y=225-4x
you want to know the 82nd term which occurs when x=82 therefore
y = 225-(4 x 82) = -103
82nd term = -103
Answer:
Kelly owes $16.5
Greg owes $33
Joe owes $64.5
Step-by-step explanation:
Let
Kelly's portion = x
Greg's portion = 2x
Joe's portion = 4x - 1.50
Total bill = $114.00
Total bill = Kelly's portion + Greg's portion + Joe's portion
114 = x + 2x + (4x - 1.50)
114 = 3x + 4x - 1.50
114 = 7x - 1.50
Add 1.50 to both sides
114 + 1.50 = 7x - 1.50 + 1.50
115.5 = 7x
Divide both sides by 7
x = 115.5 / 7
= 16.5
x = $16.5
Kelly's portion = x
x = $16.5
Greg's portion = 2x
= 2 × 16.5
= $33
Joe's portion = 4x - 1.50
= 4(16.5) - 1.50
= 66 - 1.50
= $64.5
Therefore,
Kelly owes $16.5
Greg owes $33
Joe owes $64.5
Answer:
10 in
Step-by-step explanation:
So we want to consider the surface area of this sphere.
The formula for surface area of a sphere is 
.
So we have that the surface area is 
.
So I'm going to replace 
in with .
Now our main objective here is to solve for 
:
Divide both sides by 
:
This gets us 
by itself:
What number squared gives you 25? If you don't know, just take the square root of both sides giving you:
Now you can just put 
in your calculator. You should get 5.
5 is the radius
The diameter is twice the radius.
So 2(5) is 10, so the diameter is 10 in.
