Answer:
0.625.
Step-by-step explanation:
The reciprocal of a is 1/a.
So here the answer is 1/ 1.6
= 0.625.
Answer:
5 videogames
Step-by-step explanation:
162 = 150 + 12
150/30 = 5
Can buy 5 videogames
Answer:
76
2 real solutions
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Standard Form: ax² + bx + c = 0
Discriminant: b² - 4ac
- Positive - 2 solutions
- Equal to 0 - 1 solution
- Negative - No solutions/Imaginary
Step-by-step explanation:
<u>Step 1: Define</u>
x² - 6x - 10 = 0
<u>Step 2: Identify Variables</u>
<em>Compare quadratic.</em>
x² - 6x - 10 = 0 ↔ ax² + bx + c = 0
a = 1, b = -6, c = -10
<u>Step 3: Find Discriminant</u>
- Substitute in variables [Discriminant]: (-6)² - 4(1)(-10)
- [Discriminant] Evaluate exponents: 36 - 4(1)(-10)
- [Discriminant] Multiply: 36 + 40
- [Discriminant] Add: 76
This tells us that our quadratic has 2 real solutions.
Answer:
B. 102 cm
Step-by-step explanation:
The first step would be to find the area of the whole figure and subtract the white area off.
So, to do that simply multiply the length x width to get the area of the whole figure.
20 x 6 = 120(area of the whole figure)
Next, 20-11 = 9 is the length of the figure and because the square has a side length of 3, the other side would also have to be 3.
3 x 3 = 9(area of the smaller square.
9-3=6
6-3=3
Area of triangle = Base x Height Divided by 2.
So, 3x6=18/2=9
9+9=18
Finally, subtract 18(total area of white smaller shapes) from 120 and you will get the final answer
102 cm.
Hank is 9 years old. Explanation - What I did is I made a chart, and the categories were Sam and Hank. Then all I did was add 5 to Sam's age and added 3 to Hank's age. I repeated this until the sum of the ages equaled 24.
