Answer:
3/4
Step-by-step explanation:
2/3 = 4/6 so 5/6 plus 4/6 = 1 3/6 then divide by 2, it will give u 0.75 in decimal form which is simplifyed to 3/4, so 3/4 is the answer.
Answer:

Step-by-step explanation:
For this case the solution flows at a rate of 2L/min and leaves at 1L/min. So then we can conclude the volume is given by 
Since the initial volume is 10 L and the volume increase at a rate of 1L/min.
For this case we can define A as the concentration for the salt in the container. And for this case we can set up the following differential equation:

Because at the begin we have a concentration of 8 gr/L and would be decreasing at a rate of 
So then we can reorder the differential equation like this:

We find the solution using the integration factor:

And then the solution would be given by:

And if we simplify this we got:

And after do the integral we got:

And using the initial condition t=0 A= 20 we have this:


So then we have this function for the solution of A:

And now replacinf t= 40 we got:

But the answer would be 50 , because there is a 90 degree angle at the bottom of the triangle plus 40 from angle 3 is 130, there is 180 degrees in a triangle leaving 50 degrees left for angle 2
Answer:
Mona will save a total of $7 by going to Carpet World.
Step-by-step explanation:
First, we need to calculate the total area of the floor by multiplying the width by the length...
5m * 8m = 40m
Now we calculate the amount that it would cost to buy the carpet from each of the establishments. For the first establishment, we can buy 16
and get the next 8
half off and that would leave another 16
at full price. The second establishment we have a 5% off (0.95 of official price) for every 8
, since out total area is 5 times this amount then our total will have a 5% off.
Establishment 1: (16
* 2.20) + (8
* 1.10) + (16
* 2.20) = $79.20
Establishment 2: (40
* 1.90) * 0.95 = $72.20
Difference: 79.20 - 72.20 = $7
Mona will save a total of $7 by going to Carpet World.
Answer is D. 14
3 times 6 is 18 and minus 4 is 14