Determine whether quantities vary directly or inversely and find the constant of variation. If 5 bushels of wheat weigh 136 kg,
2 answers:
Let the bushels of wheat is b and weight of the wheat is w.
We can say that more the bushels of wheat more will be the weight of the wheat.
Hence, the quantities vary directly.
Therefore, we have
, where k is the constant of variation.
Now, we have been given that 5 bushels of wheat weigh 136 kg. Thus, we have
Thus, the constant of variation is
Now, we have been given 3.5 bushels of wheat. Hence, we have
Therefore, 3.5 bushels of wheat weigh 95.2 kg
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Answer:
In improper form your solution will be . As a mixed fraction it will be
.
Step-by-step explanation:
The first thing we want to do here is to simplify this expression. After doing so, " a " and " b " should be multiplied to result in a possible improper fraction,
- Apply exponential rule "
"
= - Combine fractions
and
= - Multiply the fractions, and simplify further
= =
- This is out simplified expression
Now that we have this simplified expression, we can see that a = , and b =
. Therefore, multiplying the two we should receive the improper fraction as follows,
=
- Note that this is in improper form. If you want your solution in a mixed fraction, it will be
.
Answer:
1764 ways
Step-by-step explanation:
Given:
Men = 9
Women = 7
Required Men: 3
Required Women: 2
'
Required
Total Possible Outcome
The total possible outcome can be determine as follows;
Total = (Selection of Men) and (Selection of Women)
Calculating Selection of Men;
Let n represent total number of men; This implies that n = 9;
Let r represent number of men to select; This implies that r = 3;
The selection can be done in the following ways;
Where
Calculating Selection of Women;
Let n represent total number of men; This implies that n = 7;
Let r represent number of men to select; This implies that r = 2;
The selection can be done in the following ways;
Where
Recall that
Total = (Selection of Men) and (Selection of Women)
Hence,