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Multiplying by $6$ to clear the denominators, we get $3y-5=4y-2-12$, which simplifies to $3y-5=4y-14$. Moving all y's to the left side and constants to the right gives $-y=-9$. Dividing by $-1$ gives $\boxed{y=9}$

No problem! Was my answer correct?

To finish with the same amount of wins as losses, we need to have $50%$ won and $50%$ lost.

Let's break up this season into 20% chunks. Let's denote the percent of games won in each chunk $c_i$, where $i$ denotes which chunk we are on, 1 through 5.

We know have $\frac{c_1+c_2+c_3+c_4}{4}=48$, and we want to have $\frac{c_1+c_2+c_3+c_4+c_5}{5}=50$

Multiplying the first equation by four, we get $c_1+c_2+c_3+c_4=192$.

Multiplying the second equation by five, we get $c_1+c_2+c_3+c_4+c_5=250$

Substituting in $c_1+c_2+c_3+c_4=192$, we get $192+c_5=250$, so ------->$c_5=58%$<-------(for some reason my \boxed{} isn't rendering)

*Note: All the c_i's were in percent form, so, say, $c_2=28$ means that we won $28%$ of our games in chunk $2$, $20%$ to $40%$ of the season.

Thanks!

Writing these complex numbers as points, we have $(-11, 3)$ and $(3, -7)$. The midpoint is given by the average of the x- and y-coordinates, so we have $(\frac{(-11)+(3)}{2}, \frac{(3)+(-7)}{2})$. Simplifying gives the point $(-4, -2)$. The complex number corresponding to that point is $\boxed{-4-2i}$

The sum of the coordinates of X is -17.

Just a side note, make sure to put $ around your LaTeX so it renders properly, and put \sqrt{} instead of sqrt().

Multiplying both sides by $\sqrt{r}$ gives $r-3=-2*\sqrt{r}*\sqrt{r}$. Simplifying the right hand side gives $r-3=-2r$, and subtracting r from both sides gives $-3=-3r$. Dividing by -3 gives $\boxed{r=1}$

If you're looking for a place to learn, khan academy is wonderful. :)))

I learned it through khan academy. 

Good luck. :DDD

=^._.^=

Let the original photon with red light be $RP$, and the new photon with 8000 times the energy be $NP$.

Since $NP$ has $8000$ times the energy as $RP$, it has $\frac{1}{8000}$ times the wavelength of $RP$, because it is inversely proportional. The wavelength will then be $\frac{7*10^{-7}}{8*10^{3}}$

$\frac{7*10^{-7}}{8*10^{3}}=\frac{7}{8}*\frac{10^{-7}}{10^{3}}=\frac{7}{8}*10^{-10}=\frac{70}{8}*10^{-11}$(to get it in the format you want. Now,you have $a=\frac{70}{8}$ and $b=-11$, so $a+b=\boxed{-2.25}$

"Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles." - Wikipedia

The first things you will probably learn are sines, cosines, and tangents, which basically show how one angle relates to some side lengths using the functions sin(x), cos(x), and tan(x).

Here is an example(you will not need to understand, just a sneak peek of usefulness of trigonometry):

    Let us denote a right triangle with hypotenuse BC, and A as the vertex with the $90^\circ$ angle, B as the angle above the $90^\circ$ angle, and C as the rightmost angle. If $sin(B)=12$, and the hypotenuse is of length $2$, then what is side length $AC$?

    The answer is 24, because $sin(B)=\frac{AC}{BC}$

You do not need to understand this, this is just a sneak peek of the usefulness of trigonometry.

Hope this helps! For more definition, here is the link to the wikipedia article: https://en.wikipedia.org/wiki/Trigonometry

Taking the averages of the x and y coordinates gives the midpoint: $(\frac{2+(-6)}{2}, \frac{3+5}{2})=(-2, 4)$, so the product of the coordinates is $-2*4=\boxed{-8}$

Sorry, it was incorrect, but I have one more try.

How did you get that answer? 

Using geometric probbability, the answer is 3/10.

The possible values of k are (-inf,2].

The vaue of x is 6.

Hey there, Guest!

This equation isn't tough, so I'll walk you through it step-by-step.

Step 1: Simplify both sides of the equation

3t−2+4=t−7t

3t+−2+4=t+−7t

(3t)+(−2+4)=(t+−7t)(Combine Like Terms)

3t+2=−6t

3t+2=−6t

Step 2: Add 6t to both sides.

3t+2+6t=−6t+6t

9t+2=0

Step 3: Subtract 2 from both sides.

9t+2−2=0−2

9t=−2

Step 4: Divide both sides by 9.

\(9t/9 = −2/9 \)

\(t= −2/9 \)

And as you can see, t equals \(-2/9\).

Hope this helped! :)

( ﾟдﾟ)つ Bye

I've reconsidered the question.  Here's my new take on it.  

You want the whole numbers whose cube roots are 10 < x < 5. 

The problem did not say that the roots have to be whole numbers. 

10³ is 1,000 and 5³ is 125.  You want every whole number 1,000 < x < 125,   

You want all the numbers from 999 to 126 inclusive.  How many is that.  874  

_.  

Hey there, Guest!

So, there are 8 women of different heights.

Let the eight women be A, B, C, D, E, F, G, and H.

We can assume that A is taller than B and A decides to shake hands with B, B will refuse because A is taller. If this happens across the eight women, then there will be 0 handshakes.

If this assumption is taken out, we have 7+6+5+4+3+2+1 = 28

If you still do not get it, you can look at the answer that Guest #1 copied from Brainly.

Hope this helped! :)

( ﾟдﾟ)つ Bye

b is (5, 2) so x + y = 7

Kaylee has 3 55/84 gallons left over.

But could the tangent not be something like this? How would I calculate then?