Answer:
9x - 3
Step-by-step explanation:
Hello!
A square has 4 sides.
We can factor out 4 from the expression to find the value of one side.
Factor:
- 36x - 12
- 4(9x) - 4(3)
- 4(9x - 3)
This means that each side of the square is 9x - 3 units long.
Answer:
Team A: 25 players
Team B: 24 players
Step-by-step explanation:
Team A:
to find the total # of players of the team we need to set up a fraction. 5 out out of an unknown number of players is equal to 1/5, so we set it up as:
then we cross multiply to get
x*1 = 5*5
x=25 players
Team B
similarly to Team A
cross multiply to get
x*1=3*8
x= 24 players
Step-by-step explanation:
let's simply do the multiplications and then compare with the original.
(x-m)² + n
right ?
or is it
let's go for the first.
x² - 2mx + m² + n = x² - 3x
-2mx + m² + n = -3x
fun there we see two things :
-2m = -3
m = 3/2
and
m² + n = 0
(3/2)² = -n
9/4 = -n
n = -9/4
so our transformed expression looks like
(x - 3/2)² - 9/4
Answer:
m = 6
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Equality Properties
- Combining Like Terms
<u>Geometry</u>
- Complementary Angles - Angles that add up to 90°
Step-by-step explanation:
<u>Step 1: Set Up Equation</u>
<em>The 2 angles must add up to 90°.</em>
(8m + 4)° + 38° = 90°
<u>Step 2: Solve for </u><em><u>m</u></em>
- Combine like terms: 8m + 42 = 90
- Isolate <em>m</em> term: 8m = 48
- Isolate <em>m</em>: m = 6
Answer:
Part A:
x + y = 80
x + 20 = y
Part B:
Pam spends 30 minutes practicing math every day.
Part C:
It is not possible for Pam to have spent 60 minutes practicing dance because this means she must have practiced math for 40 minutes (60 - 20 = 40). This would total out to 100 minutes of total practice, not 80 minutes. Therefore, this is impossible.
Step-by-step explanation:
Part A:
"She spends 80 minutes every day practicing dance and math."
x + y = 80
"She dances for 20 minutes longer than she works on math."
x + 20 = y
Part B:
Solve for x:
x + 20 = y
Isolate variable x:
x = y - 20
Plug in this new value for the first equation:
y - 20 + y = 80
Combine like terms:
2y - 20 = 80
Isolate variable y:
2y = 100
y = 50
Plug in the new value of y into any equation:
x + 50 = 80
Isolate variable x:
x = 30
Part C:
x + 20 = y
x + 20 = 60
x = 40
x + y = 80
40 + 60 = 80
100 = 80
Impossible.
