Recall that
. So we can add twice the first equation to the second one to get
Since
, we have
so
If
, then
If
, then
So the solution set is
So,
Normally a unit rate will be x per 1y. Example: 60 miles/1hr.
Therefore, the option with the denominator as 1 would be the unit rate.
The correct option is C.
<h3>
Answer: choice B) 36</h3>
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Explanation:
The vertical sides, when read from left to right, can be divided to get this fraction: 9/90
Following the same order and direction, we divide the slanting corresponding sides to get: b/360
The fractions we constructed are equal to one another, as the triangles are said to be proportional.
We have the fraction 9/90 = b/360
Lets cross multiply and solve for b
--------------------
9/90 = b/360
9*360 = 90*b
3240 = 90b
90b = 3240
90b/90 = 3240/90
<h3>b = 36</h3>
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A quick way to do this may be to notice how the jump from 9 to 90 is "times 10" so the jump from b to 360 is also "times 10". Think in reverse to divide 360 over 10 and we land on 36 as our answer. This line of thinking does not work as simple for all proportional problems.
I'll guess the answer is <em>you can tell that pi is an irrational because it has a </em>non-terminating yet non-repeating decimal representation.<em>
</em>
Of course it's not clear how we tell this. We can't know for sure just by looking at the first trillion digits we've figured out whether it repeats or not. Someone told us it didn't, that's really how we know.
Answer:
37
Step-by-step explanation:
Margin of error = critical value × standard error
For 98% confidence, CV = 2.326 (from t table).
Standard error is σ / √n, where σ is the population standard deviation, and n is the sample size.
Plugging in:
5 = 2.326 × 13 / √n
n = 36.6
Rounding up, n = 37.
