Answer:
Each project has 2.500 man-hours
Step-by-step explanation:
Available man hours: 5000
For two projects Costs $
X: project A 10
Y: project B 12
Approach:
X + Y = 5000 => X = 5000 - Y
10 * X + 12 * Y = 55000
replacing:
10 * (5000 - Y) + 12 * Y = 55000
50000 - 10 * Y + 12 * Y = 55000
2 * Y = 55000 - 50000
Y = 5000/2
Y = 2500
For X:
X = 5000 - 2500
X = 2500
The number of hours available for each project are:
Projects Man hours
X: project A 2500
Y: project B 2500
Answer:
22.6
Step-by-step explanation:
Answer: radius = 19.99 centimeters
Step-by-step explanation:
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Where
r represents the radius of the cylinder.
h represents the height of the cylinder.
π is a constant whose value is 22/7
From the information given,
Volume = 16328 cubic centimeters
Height = 13 centimeters
Therefore,
16328 = 22/7 × r² × 13
16328 = 40.857r²
Dividing the left hand side and the right hand side of the equation by 40.857, it becomes
r² = 16328/40.857 = 399.6378
Taking square root of the left hand side and the right hand side of the equation, it becomes
r = 19.99 centimeters
Answer:
<h2>49</h2>
Step-by-step explanation:
Use PEMDAS:
P Parentheses first
E Exponents (ie Powers and Square Roots, etc.)
MD Multiplication and Division (left-to-right)
AS Addition and Subtraction (left-to-right)
==============================================
(-5)² - 2 × (-9) + 6 <em>first </em><em>E</em><em>xponents</em>
25 - 2 × (-9) + 6 <em>next </em><em>M</em><em>ultiplication</em>
25 + 18 + 6 <em>next </em><em>A</em><em>ddition</em>
43 + 6 = 49
Answer:
none of these terms are like terms