The inequality that represents the steps taken after the first day is 2000 + 500x ≥ 10000
<h3>Part A: The inequality that represents the number of steps?</h3>
The given parameters are:
- Initial number of steps = 2000
- Rate each day = 500
- Total number of steps = At least 10000
In inequality, at least means greater than or equal to i.e. ≥.
So, the inequality that represents the number of step each day (x) after the first day is:
2000 + 500 * x ≥ 10000
This gives
2000 + 500x ≥ 10000
<h3>Part B: How to exceed the goal</h3>
To exceed the goal faster, Angel can do any of the following activities:
- Increase the initial number of steps from 2000 to (say) 2500. This is represented by 2500 + 500x ≥ 10000
- Increase the rate from 500 to (say) 600. This is represented by 2000 + 600x ≥ 10000
Read more about linear inequalities at:
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Answer:Line graphs can give a quick analysis of data. You're able to quickly tell the range, minimum/maximum, as well as if there are any gaps or clusters. This also means that it can easily observe changes over a certain period of time. When drawing them, you're able to use exact values from your data.
Step-by-step explanation:
Multiply (3/5)lb by (2/3);
3 2
---- * ---- This immediately reduces to 2/5 (answer)
5 3
Explanation:
a)


b) First, we have that

On the other hand,

Therefore, both expressions are equal. This makes sense, because selecting k elements from a group of n is the same than specify which elements you will not select. In order to specify those elements you need to select the n-k elements that will not be selected. Hence, each time you are selecting k from n, you are also selecting n-k from n, and from that reason both combinatorial numbers are equal.
The answer is 0.60 because the sum of the shaded angles equals 145°, divided by 360° equals 0.60