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:
Giraffe = 1,000 kg
Whale = 2,000,000 kg
Step-by-step explanation:
Whale has 2,000 times the mass.
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<h2><u>DISTRIBUTIVE PROPERTY</u></h2>
The distributive property indicates that multiplying a number by the sum of two addends is equal to multiplying each addend individually by the number and then adding the products together.
In general terms:
<h3>m(n + p) = mn + mp</h3>
<u>In this exercise</u>:
Let's apply the distributive property:
<h3><u>Answer</u>: 6w - 10y</h3>
Step-by-step explanation:
(a)
Using the definition given from the problem
Therefore it is true for intersection. Now for union, we have that
Therefore, for this case, it would be true that .
(b)
1 is not a set.
(c)
To begin with
Therefore
Now, given an element of it will belong to both sets, therefore it also belongs to , and you would have that
, therefore .
(d)
To begin with , therefore