Answer:
$15
Step-by-step explanation:
let the hourly rate of pay for Ben = B
let the hourly rate of pay for Judy = J
Judy worked 4 hours and Ben worked 1 hour, their combined pay was $75;
4J + B = 75 ----- i
Judy worked 2 hours and Ben worked 6 hours, their combined pay was $120
2J + 6B = 120 --- ii
Now, we should solve the expression;
Multiply equation ii by 2 and equation i by 1;
4J + B = 75 ----- i x 1 ; 4J + B = 75 -- iii
2J + 6B = 120 --- ii x 2 ; 4J + 12B = 240 ---iv
Now,
equation iv - iii;
11B = 165
B = $15
So, solving for J;
4J + B = 75
4J + 15 = 75
4J = 75 - 15 = 60
J = $15
Answer:
a ≈ 6.5 cm
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
<u>Geometry</u>
Volume of a Cube Formula: V = a³
- <em>a</em> is a side length
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
<em>V</em> = 270 cm³
<u>Step 2: Solve for </u><em><u>a</u></em>
- Substitute in variables [Volume of a Cube Formula]: 270 cm³ = a³
- [Equality Property] Cube root both sides: 6.4633 cm = a
- Rewrite: a = 6.4633 cm
- Round: a ≈ 6.5 cm
Answer:
The value of
is 16.
Step-by-step explanation:
The given expression is
.
Put x = 2 in the above expression as follows :

Hence, the final answer is 16.
Fred's overtime rate and pay is $17.925 and $98.5875 respectively
<h3>Total payment</h3>
- Amount paid per hour = $11.95
- Amount paid overtime per hour = $11.95 × 1.5
= $17.925
- Total hours worked last week = 45 1/2 hours
- Overwork time = 45 1/2 hours - 40 hours
= 5 1/2 hours
Fred's overtime pay = 5 1/2 hours × $17.925
= 11/2 × 17.925
= $98.5875
Normal work rate = 40 hours × $11.95
= $478
Fred's total pay = Fred's overtime pay + Normal work rate
= $98.5875 + $478
= $576.5875
Therefore, Fred's total pay is $576.5875
Learn more about total pay:
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Step-by-step explanation:
Midpoint of Hypotenuse
= [(0 + n)/2, (n + 0)/2]
= (n/2, n/2) or (0.5n, 0.5n).