Answer:
B) ![x=-\frac{8}{27}](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B8%7D%7B27%7D)
Step-by-step explanation:
![-\frac{8}{9}=-\frac{2}{3}x(-4\frac{1}{2})](https://tex.z-dn.net/?f=-%5Cfrac%7B8%7D%7B9%7D%3D-%5Cfrac%7B2%7D%7B3%7Dx%28-4%5Cfrac%7B1%7D%7B2%7D%29)
- To start things off, lets convert any <em>mixed numbers</em> like
into <em>improper fractions</em>. In this case
as an improper fraction is
.
![-\frac{8}{9}=-\frac{2}{3}x(-\frac{9}{2})](https://tex.z-dn.net/?f=-%5Cfrac%7B8%7D%7B9%7D%3D-%5Cfrac%7B2%7D%7B3%7Dx%28-%5Cfrac%7B9%7D%7B2%7D%29)
- Now let's multiply
by
. When multiplying fractions, all you need to do is multiply the numerators and denominators separately. Your final answer should be
. - *Note: a <em>negative </em>times a <em>negative </em>is a <em>positive</em>, so that's why we now have an even number in front of
instead of a negative number.
![-\frac{8}{9}=\frac{18}{6}x](https://tex.z-dn.net/?f=-%5Cfrac%7B8%7D%7B9%7D%3D%5Cfrac%7B18%7D%7B6%7Dx)
- Now we want to isolate
, so we'll have to divide
by
, but dividing these two fractions seems like a pain. To make things a bit easier, let's turn our improper fraction into a whole number. To change this improper fraction into a whole number, we should ask ourselves what times
is equal to
? In this case, the answer is 3, so
is actually the same thing as the whole number
. - *Note: In general, keeping fractions as either improper fractions or whole numbers will make doing math easier. Avoid mixed numbers like
when trying to do math and simply change improper fractions into mixed numbers once you have your final solution.
![-\frac{8}{9}=3x](https://tex.z-dn.net/?f=-%5Cfrac%7B8%7D%7B9%7D%3D3x)
- Now divide
by
. Think of it as multiplying the denominator of
by
.
![-\frac{8}{27}=x](https://tex.z-dn.net/?f=-%5Cfrac%7B8%7D%7B27%7D%3Dx)
First, you need to notice that both numbers can be turned into fractions.
2 miles 40 minutes: 1/20
2 miles 25 minutes: 2/25
Also notice how most percentages are out of 100? So we have half a fraction we need to turn both of the numbers into.
1/20 = ?/100
2/25 = ?/100
The answer to 1/20 is 5/100, and for 2/25, it's 8/100. Now, we need to add both of the percentages.
5 + 8 = 13
Your answer is 13%. I hope this helps! :)
Answer:
x = 34
Step-by-step explanation:
Pytago:
x![30^{2} + 16^{2} = x^2\\x = \sqrt{30^2 + 16^2} \\x = 34](https://tex.z-dn.net/?f=30%5E%7B2%7D%20%2B%2016%5E%7B2%7D%20%3D%20x%5E2%5C%5Cx%20%3D%20%5Csqrt%7B30%5E2%20%2B%2016%5E2%7D%20%5C%5Cx%20%3D%2034)
Answer:
25 acres
Step-by-step explanation:
25 acres hope this helps