The answer is that she had 48. Set it up as an equation with x as the amount of money she started with. x - 30 = 3/8x. That says, in words, "the amount of money she started with minus 30 for the dress left her with 3/8 of the money she started with. Solve for x by adding 30 to both sides and subtracting 3/8 from 8/8x (8/8 = 1). 8/8 - 3/8 = 5/8, so 5/8x = 30, multiply both sides by 8 to get 5x=240 and x = 48.
Answer: (-1, -5)
Step-by-step explanation:
C(a,b), because the x-coordinate( first coordinate) is a (seeing as it is situated directly above point B, which also has an x-coordinate of a) and the y-coordinate ( second coordinate) is b (seeing as it is situated on the same horizontal level as point D, which also has a y-coordinate of b)
the length of AC can be calculated with the theorem of Pythagoras:
length AB = a - 0 = a
length BC = b - 0 = b
seeing as the length of AC is the longest, it can be calculated by the following formula:
It is called "Pythagoras' Theorem" and can be written in one short equation:
a^2 + b^2 = c^2 (^ means to the power of by the way)
in this case, A and B are lengths AB and BC, so lenght AC can be calculated as the following:
a^2 + b^2 = (length AC)^2
length AC = √(a^2 + b^2)
Extra information: Seeing as the shape of the drawn lines is a rectangle, lines AC and BD have to be the same length, so BD is also √(a^2 + b^2). But that is also stated in the assignment!
Answer:
I think that there might be some complex differential equation
stuff going on here if this were in the real world, but for the sake of this problem... may I suggest that the tank is filling up at a rate of
1/8 of a tank per hour...
it is evaporating at a rate of 1/12 tank per hour
you can subtract the rates
1/8 - 1/12 = 12/96- 8/96 = 3/96 = 1/32 tank/hr
so to fill the tank it should take 32 hours...
I think the logic and math work... lets see if someone else will verify this analysis?
Step-by-step explanation:
Answer:
<u>If it's 18.4b=44.16:</u> 
<u>If it's 4b=44.16:</u> 
Step-by-step explanation:
<u>If it's 18.4b=44.16:</u>
<u />
<u>If it's 4b=44.16:</u>
<u />
<u />
