<span>Jerry is 8 years younger than Patricia, so:
(1): Jerry = Patricia - 8
Six years ago, Patricia was 3 times as old as Jerry was then, so:
(2): (Patricia - 6) = (Jerry - 6)*3
Putting equation 1 in to equation 2
(Patricia - 6) = (Patricia - 8 - 6)*3
Patricia - 6 = 3Patricia - 42
36 = 2Patricia
Patricia = 18
And so Jerry = 10</span>
Answer:
40,000 workers
Step-by-step explanation:
This question deals with simple rates proportion.
If it takes 20 years for X workers to complete a job,
if we double the amount of workers, we will take half the time.
hence to halve the time from 20 years to 10 years, we will need to double the amount of workers.
In this case we will need 20,000 workers x 2 = 40,000 workers
Answer: There are 177100 possible groups.
Step-by-step explanation:
Given: Total employees = 25
Number of employees wants to choose = 6
The combination of n things taken r at a time is given by:-
Put n = 25 and r= 6, we get
Hence, there are 177100 possible groups.
The integer number that represents the changing in his account balance from beginning to end is of -20.
<h3>Which numbers belong to the set of integer numbers?</h3>
Non-decimal numbers, either positive or negative numbers, also zero, belong to the set, which can be represented by:
Z = {..., -3, -2, -1, 0, 1, 2, 3, ...}
A change can be represented by the <u>final value subtracted by the initial value</u>. For this problem, we have that:
- The initial balance is of $20.
- The final balance is of $0.
Hence the change in the balance is:
0 - 20 = -20.
And the integer is -20.
More can be learned about integer numbers are brainly.com/question/17405059
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Answer:
x = √39
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
- [Right Triangles Only] Pythagorean Theorem: a² + b² = c²
Step-by-step explanation:
<u>Step 1: Identify</u>
Leg <em>a</em> = <em>x</em>
Leg <em>b</em> = 5
Hypotenuse <em>c</em> = 8
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute [PT]: x² + 5² = 8²
- Isolate <em>x</em> term: x² = 8² - 5²
- Exponents: x² = 64 - 25
- Subtract: x² = 39
- Isolate <em>x</em>: x = √39
