Answer:
Step-by-step explanation:
Let d be the number of days.
We have been that each day Katie finds 12 more seashells on beach, so after collecting shells for d days Katie will have 12d shells.
We are also told that Katie already has 34 seashells in her collection, so total number of shells in Katie collection after d days will be: 
As Katie wants to collect over 100 seashells, so the total number of shells collected in d days will be greater than 100. We can represent this information in an inequality as:
Therefore, the inequality
can be used to find the number of days, d, it will take Katie to collect over 100 seashells.
Inequalities help us to compare two unequal expressions. There exists no solution to the given set of inequalities.
<h3>What are inequalities?</h3>
Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
The given Inequalities can be solved as,
5 - x > 7
-x > 7 - 5
-x > 2
x < -2
2x + 3 ≥ 13
2x ≥ 10
x ≥ 5
As per the solution of the two inequalities, the value of x should be less than -2 but at the same time, it should be more than or equal to 5, which is impossible. Thus, there is no solution for the given inequalities.
This can be confirmed by graphing the two inequalities, as shown below. Since there is no area in common between the two inequalities, there exists no solution to the given set of inequalities.
Learn more about Inequality:
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Answer:
126.
Step-by-step explanation:
Each rectangle is a step. We'll start with the top one. This is simple: 6 times 3.

The farthest left is 5 times 3.

The crossed one is 6 times 5.

The one to the right of the crossed one is 3 times 5, again.

The farthest right is 6 times 5, again.

The bottom one is 6 times 3, again.

Now, we add.

Answer:
Step-by-step explanation:
5x/20 =45/36
5x = 20(45/36)
5x = 25
x = 5