What is the exact volume of the cylinder?
2 answers:
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The inequality that correctly represents this scenario is given as follows:
The graph is given at the end of the question.
<h3>What is a system of inequalities?</h3>A system of inequalities is when two or more variables are related, and inequalities are built to find the values of each variable.
In this problem, the variables are given as follows:
- Variable x: number of chocolate chips purchased.
- Variable y: number of pecans sold.
Chocolate chips are $2 per pound and pecans are $5 per pound. She wants to spend at most $25, hence:
More can be learned about a system of inequalities at brainly.com/question/3656398
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Answer:
The cost of each pens is $1.19
The cost of each pencils is $0.39
Step-by-step explanation:
Given as :
The number of pens bought by Gabby = 4
The number of pencils bought by Gabby = 5
The number of pens bought by Sydney = 5
The number of pencils bought by Sydney = 3
The total cost of Gabby items = $6.71
The total cost of Sydney items =$7.12
Let The cost of each pens = x
And The cost of each pencils = y
Now, According to question
For Gabby
4 x + 5 y = $6.71 .............1
For Sydney
5 x + 3 y = $7.12 .............2
Now, Solving both equations
5 × (4 x + 5 y) - 4 × (5 x + 3 y) = 5 × 6.71 - 4 × 7.12
Or, 20 x + 25 y - 20 x - 12 y = 33.55 - 28.48
Or, (20 x - 20 x) + (25 y - 12 y) = 5.07
or, 0 + 13 y = 5.07
∴ y =
I.e y = $0.39
So, The cost of each pencils = y = $0.39
Again , put The value of y in eq 1
I,e 4 x + 5 y = $6.71
Or, 4 x + 5 × 0.39 = 6.71
or, 4 x + 1.95 = 6.71
or, 4 x = 6.71 - 1.95
or , 4 x = 4.76
∴ x =
I.e x = $1.19
The cost of each pens = x = $1.19
Hence The cost of each pens is $1.19
And The cost of each pencils is $0.39 Answer