Answer:
1.8 hours.
Step-by-step explanation:
It is important to note that:
Speed = Distance ÷ Time
We have two trains.
Step 1
We have to find the distance that each train travelled.
Since Speed = Distance ÷ Time
Distance = Speed × Time
First train
It travels at 105 miles per hour
Distance travelled by first train =
105 × x hours
= 105x miles
Second Train
It travels at 85 miles per hour
Distance travelled by the second train = 85 miles × x hours
= 85x miles
We are told that: the two trains leave stations 342 miles apart at the same time and travel toward each other
Hence, the time it would take each train to meet each other is calculated as:
105x + 85x = 342 miles
190x = 342 miles
x = 342/190
x = 1.8 hours.
All three series converge, so the answer is D.
The common ratios for each sequence are (I) -1/9, (II) -1/10, and (III) -1/3.
Consider a geometric sequence with the first term <em>a</em> and common ratio |<em>r</em>| < 1. Then the <em>n</em>-th partial sum (the sum of the first <em>n</em> terms) of the sequence is
Multiply both sides by <em>r</em> :
Subtract the latter sum from the first, which eliminates all but the first and last terms:
Solve for 
:
Then as gets arbitrarily large, the term 
will converge to 0, leaving us with
So the given series converge to
(I) -243/(1 + 1/9) = -2187/10
(II) -1.1/(1 + 1/10) = -1
(III) 27/(1 + 1/3) = 18
43÷4759=0.0090355117 and 69÷6267=0.0110100527 is your answers
X is side to side and Y is up and down. Hope this helps.
Start by finding how many squares in both rooms are. 24 • 15 = 360 and 13 • 4 = 52 (since it is a square room multiply by 4) Now add. 360 + 42 = 412. Now multiply : 6.98 • 412 = 2875.76. The total cost of carpet for both rooms is $2875.76. Hope I helped!
