A customer has $10 to spend at the concession stand. Hotdogs cost $2 each and drinks cost $2.50 each. Graph the inequality that illustrates this situation. Use the space below to explain what the answer means.
Answers
Answer:
Please refer to the graph in the attached area.
Step-by-step explanation:
Given:
Total money available with the customer is $10.
Cost of each hotdog is $2.
Cost of each drink is is $2.50.
To find:
The graph of inequality.
Solution:
Let number of hotdogs bought =
Total cost of hotdogs =
Let number of drinks bought =
Total cost of drinks =
Total cost =
And total money available is $10.
So, the total cost calculated above must be lesser than or equal to $10.
Hence, the inequality is:
Also there will be two conditions on variables and
:
To graph this, let us find the points on the equivalent equation:
Finding two points on the equation.
First put x = 0 y = 4
Then put y = 0, x = 5
So, two points are (0, 4) and (5, 0).
Now, plotting the line.
Having point (1,2) in the inequality:
2 + 5 < 10 (True) hence, the graph of inequality will contain the point (1,2)
Please refer to the graph of inequality in the attached graph.
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Answer:
x=2
Step-by-step explanation:
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Distribute 2 to 3 and x
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Add 2 to both side of the equal sign and combine 4 and 6
5x=10
divide both sides by 5
x=2
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The difference is,
EXPLANATION
To find the difference, we just have to simplify the expression.
The given expression is
We factor the denominator of the second fraction to get,
We can now see clearly that the LCM is
We collect LCM to get,
We now expand the bracket to obtain,
This gives us,
(x +5)/ (x +2) - (x + 1)/(x ^2 + 2x)
=(x +5)/ (x +2) - (x + 1)/[x (x + 2)]
the LCM is x(x+2)
thus the difference will be:
[x(x+5)-(x+1)]/(x (x + 2))
=[x^2+5x-x-1]/[x(x+2)]
=(x^2-4x-1)/[x(x+2)]
Answer:(x^2-4x-1)/[x(x+2)]