Four-fifths of a number decreased by two is eighteen
1 answer:
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Answer:
The simplified form is .
is the excluded value for the given expression.
Step-by-step explanation:
Given:
The expression given is:
Let us simplify the numerator and denominator separately.
The numerator is given as
2 is a common factor in all the three terms. So, we factor it out. This gives,
Now,
Therefore, the numerator becomes
The denominator is given as:
Factoring out 3, we get
Now, is of the form
So,
Therefore, the denominator becomes
Now, the given expression is simplified to:
There is in the numerator and denominator. We can cancel them only if
as for
, the given expression is undefined.
Now, cancelling the like terms considering , we get:
Therefore, the simplified form is
The simplification is true only if . So,
is the excluded value for the given expression.
For this case we define the following variables:
x: Number of party dresses
y: Number of suits
You have 30 hours per week to cut, that is, the first equation is given by:
It is also known that 25 hours per week are available for sewing, that is:
It has a system of two equations with two unknowns, solving we have:
Multiplying the second equation by -1:
Adding up:
Substituting x in the first equation:
Clearing and:
Thus, per week, the designer can produce 5 party dresses and 5 suits working at her maximum capacity.
Answer:
5 Party dresses
5 Suits