Answer:
11/238
Step-by-step explanation:
To find this, you must multiply the numerator by numerator (so in this case, -11 x -1; since you're multiplying a negative by a negative, they cancel out and it gives you a positive. So 11 x 1 is 11) Then, you multiply denominator by denominator. (14 and 17 is 238) So your fraction is 11/238. This can't be simplified any further.
When we look at this thing for the first time, it looks like it's going to be a dog of a bear to solve, because 'q' is buried inside a squared term and a cubed term.
But this is why it's so important to learn that in math, you DON't immediately ignite your hair and go running around in circles as soon as you see the problem. The first thing you have to do <u>every</u> time is sit still, look at the problem, breathe air, and switch your brain into the 'ON' position.
Look at that big ugly fraction in the equation. Can it be simplified ? You betcha it can ! The quantity (q+r) is a factor of the numerator and denominator, so we can do some canceling.
Divide the top and the bottom of the fraction by (q+r)², and then the problem says . . .
<em>p = (q+r)/12 + 4r</em>
which is MUCH easier to unravel and solve for 'q' . Let's do this !
p = (q+r)/12 + 4r
Subtract (q+r)/12 from each side . . . p - (q+r)/12 = 4r
Subtract 'p' from each side . . . -(q+r)/12 = 4r - p
Multiply each side by -1 . . . (q+r)/12 = p - 4r
Multiply each side by 12 . . . (q+r) = 12p - 48r
Subtract 'r' from each side . . . <em>q = 12p - 49r</em>
Answer:
C (The lizards in aquarium A vary in length more than aquarium B.)
First, you will start with distributive property. on the right side you will distribute 4 into x and 3.
the equation will become:
2x + 22 = 4x + 12
then you have to get x on only one side of the equal sign. subtract 2x from 4x and the equation becomes:
22 = 2x + 12
subtract 12 from 22:
10 = 2x
divide 10 by 2:
5 = x
or
x = 5
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