Answer:

Step-by-step explanation:
let x=11.510510510...
multiply by 1000
1000x=11510.510510...
again multiply by 1000
1000,000 x=11510510.510510...
subtract
999,000 x=1,1 49 9,000
x=11,499,000/999000=3,833,000/333,000=3833/333
333 ) 3833 (11
-333
--------
503
- 333
-------
170
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If the line is perpendicular, then its slope is the reciprocal of the given line's slope. This new line's slope is 1/2. We plug it into slope-intercept form
y = 1/2x + b
Now plug in the given point of (2, 10) and solve for b.
10 = 1/2(2) + b
10 = 1 + b
9 = b
So your equation is y = 1/2x + 9
<em>x = 4</em>
<em>Here is why:</em>
When adding up all angles of a triangle, they will be equal to 180.
Let's add ∠B and ∠C together.

Let's subtract it from 180, that will be the value of ∠A.

Now we can set ∠A equal to 49.

Subtract 9 from both sides.

Divide.
<u>x = 4</u>
Answer:
11.5
Step-by-step explanation:
Answer:
The correct answer is t < 60.
Step-by-step explanation:
Lauren wants to keep her cell phone bill below $60 per month.
Lauren's current cellphone plan charges her a fixed price of $30 and per text price for one text is $0.50.
Let Lauren sends t texts in a complete month.
Total money spent on texts in a month is given by $ (0.50 × t)
Therefore Lauren's total spent in a month is given by $ (30 + (0.50 × t)).
But this amount should be under $60 as per as the given problem.
∴ 30 + (0.50 × t) < 60
⇒ (0.50 × t) < 30
⇒ t < 
⇒ t < 60.
So in order to keep her phone monthly bill under $60, Lauren should keep her number of texts below 60.