To support a shelf, the diameter of a bolt can be measured anywhere from 0.2 cm less than 1.5 cm to 0.2 greater than 1.5 cm. Whi
2 answers:
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Answer:
The required system of equations is,
.
Step-by-step explanation:
Let the number of hours spent by Lucy = x
It is given that,
Local zoo charges initial fee $25 and per hour fee $1.
So, the equation representing the cost if Lucy stays 'x' hours is,
in dollars.
Also, Local citcus charges initial fee $20 and per hour fee $2.
So, the equation representing the cost if Lucy stays 'x' hours is,
in dollars.
Since, the objective function for the situation is to 'minimize the cost'.
So, upon solving the equations, we will get the minimum value as,
25+x = 20+2x
i.e. x= 5
Thus,
implies
i.e. y= $30
implies
i.e.
i.e. y= $30
Thus, the minimum value is $30.
The required system of equations is,
.
Let x represent number of bracelets and y represent number of necklaces.
We have been given that a jeweler made 7 more necklaces than bracelets. This means that number of necklaces will be . We can represent this information in an equation as:
We have been given that the amount of gold in each bracelet is 6 grams, so amount used for x bracelets would be grams.
We are also told that the amount of gold in each necklace is 16 grams, so amount used for y necklaces would be grams.
Since the jeweler used 178 grams of gold, so we will equate the amount of gold used in x bracelets and y necklaces with 178 as:
Therefore, our required system of equations would be: