Answer:
<B = 56 degrees
Step-by-step explanation:
The sum of two complementary angle is 90 degrees
Hence <A + <B = 90
2x++18 + 6x + 8 = 90
8x + 26 = 90
8x = 90-26
8x = 64
x = 64/8
x = 8
Get <B
<B = 6x+8
<B = 6(8) + 8
<B = 48+8
<B = 56 degrees
He will do about 16 rotations
Answer:
f(-121) = -5
f(31) = 3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = ∛(x - 4)
f(-121) is x = -121
f(31) is x = 31
<u>Step 2: Evaluate</u>
f(-121)
- Substitute in <em>x</em>: f(-121) = ∛(-121 - 4)
- [Radical] Subtract: f(-121) = ∛(-125)
- [Radical] Evaluate: f(-121) = -5
f(31)
- Substitute in <em>x</em>: f(31) = ∛(31 - 4)
- [Radical] Subtract: f(31) = ∛27
- [Radical] Evaluate: f(31) = 3
Let W = number of wristbands.
Let B = number of belts.
Number equation: W + B = 30
Value equation: 5.50W + 8.75B = 204.00
Multiply the top equation by 5.50 and subtract it from the bottom equation:
5.50W + 8.75B = 204.00 <--- 5.50(W + B = 30)
5.50W + 5.50B = 165.00
---------------------------------
---> 3.25B = 39.00 <--- subtract down the columns
---> B = 12 <--- divide by 3.25
Since W + B = 30 ---> W + 12 = 30 ---? W = 18
There were 12 belts and 18 wristbands.
Answer: 7 weeks
Step-by-step explanation:
Let x represent number of weeks
Let y represent the total amount
Amount = Paycheck deposited * number of weeks + Initial amount
y = 125x + 475
Number of weeks until she has $1350
1350 = 125x + 475
125x+475-475=1350-475
125x=875
x=7
Therefore, the student will have $1350 in her bank account after 7 weeks
