5 hours
715/11 = 65
325/65 = 5
Answer:
See explanation
Step-by-step explanation:
Ana started the work nicely by multiplying out factors to get:\
She multiplied 
correctly using difference of two squares to get: 
Unfortunately: She made a mistake in multiplying 
she mistakenly got 
instead of 
. <em>She left out the coefficient of 2.</em>
Therefore the second step should have been:
The next step will now be:
This simplifies to
Answer:
The width of the frame is 3 inches
Step-by-step explanation:
We are told that the inner rectangle is 10 inches by 16 inches.
It means the outer rectangle has to be (L = 10 + 2x) by (W = 16 + 2x),
Where x represents the width of the frame.
The perimeter of the frame is given by; p = 2L + 2W
p = 2(10+2x) + 2(16+2x)
We are given perimeter, P = 76
Thus;
2(10 + 2x) + 2(16 + 2x) = 76
Divide both sides by 2 to give;
(10+2x) + (16+2x) = 38
(10+16) + (2x+2x) = 38
4x = 38 - 26
4x = 12
x = 12/4 = 3
The width of the frame is x = 3 inches
Answer:
Step-by-step explanation:
One rider's rate is x....the other is x+4
Once they pass each other, they travel for 1.5 hrs...and the combined distance they travel = 39 km
So....Rate x Time = Distance....and we have
x(1.5) + (x+4)(1.5) = 39 simplify
1.5x + 1.5x + 6 = 39
3x + 6 = 39 subtract 6 from both sides
3x = 33 divide by 3 on both sides
x = 11 km/hr this si the slower rider's rate
x + 4 = 11 + 4 = 15 km/hr and this is the faster rider's rate
Answer:
Option 3 is correct that is 
Step-by-step explanation:
We have general formula for sum of cube which is
Here, we have a=s and b=6
on substituting the values in the formula we will get
After simplification we will get
After rearranging the terms we will get
which exactly matches option 3 in the given options.
Therefore, option 3 is correct that is
