$\bf -\cfrac{2}{5}+\cfrac{2}{3}p+\cfrac{1}{3}p=2p-\cfrac{16}{5}\implies \stackrel{\textit{LCD of 15}}{-\cfrac{2}{5}+\cfrac{2p}{3}+\cfrac{p}{3}}=\stackrel{\textit{LCD of 5}}{2p-\cfrac{16}{5}}
\\\\\\
\cfrac{(3\cdot -2)+(5\cdot 2p)+(5\cdot p)}{15}=\cfrac{(5\cdot 2p)-16}{5}
\\\\\\
\cfrac{-6+10p+5p}{15}=\cfrac{10p-16}{5}\impliedby \textit{now we cross-multiply}
\\\\\\
-30+50p+25p=150p-240\implies -30+240=150p-75p
\\\\\\
210=75p\implies \cfrac{210}{75}=p\implies \cfrac{14}{5}=p$

8 0

3 years ago

What is the percentage decrease from 40 to 28? :)

mafiozo [28]

Answer:

70%

Step-by-step explanation:

Look it up

5 0

4 years ago

In a triangle the sides has 82 degrees ,2x+10 degrees and x degrees what is x

yaroslaw [1]

Answer:

x = 29 1/3 degrees

Step-by-step explanation:

A triangle has 3 angle that total 180 degrees.

The three angles given are 82 degrees ,2x+10 degrees and x degrees.

So,

82+ (2x+10) + x = 180

Combine like terms.

92 + 3x = 180

Subtract 92 from each side

3x = 180 -92

3x = 88

divide each side by 3

3x/3 = 88/3

Change 88/ 3 to a mixed number

3 goes in to 88 29 times with 1 left over.

x = 29 1/3 degrees

4 0

3 years ago