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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Given:
x, y and z are integers.
To prove:
If 
is even, then at least one of x, y or z is even.
Solution:
We know that,
Product of two odd integers is always odd. ...(i)
Difference of two odd integers is always even. ...(ii)
Sum of an even integer and an odd integer is odd. ...(iii)
Let as assume x, y and z all are odd, then is even.
is always odd. [Using (i)]
is always odd. [Using (i)]
is always even. [Using (ii)]
is always odd. [Using (iii)]
is always odd.
So, out assumption is incorrect.
Thus, at least one of x, y or z is even.
Hence proved.
Answer:
12
Step-by-step explanation:
Same line = slope constant
(20-5)/(6-1) = (41-5)/(k-1)
3 = 36/k
k = 36/3
k = 12
Answer:
12/7
Step-by-step explanation:
To set up a ratio of "thing 1" to "thing 2", build a fraction with "thing 1" on top (numerator) and "thing 2" on the bottom (denominator).
The ratio of in-state students to out-of-state students is 
and this can be simplified ("reduced") by dividing both numbers by 9 to get the fraction 12/7.
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