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3 years ago

Solve. 3/ k+3 = 8/ k-2 A.) k= -1 B.) k= 1 C.) k= -6 D.) k= 6

1 answer:

6 0

3/k+3=8/k-2
butterfly (multiply 8 and k+3) and (multiply 3 and k-2) and set them = to eachother
8 (k+3)=3 (k-2)
distribute
8k+24=3k-6
-3k both sides
5k+24=-6
-24 both sides
5k=-30
÷5 both sides
k=-6

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6.5.PS-26

Trava [24]

Number of hockey cards in Nick's album = 700

Number of hockey cards in each page of the album = 7

Number of pages in Nick's album :

$= \tt \frac{700}{7}$

$= \tt100$

▪︎Thus, the number of pages in Nick's album = 100

Percentage of album that is empty = 72%

Number of pages in the album that is empty :

$= \tt 72\% \: \: of \: \: 100$

$=\tt \frac{72}{100} \times 100$

$= \tt \frac{72 \times100}{100}$

$=\tt \frac{7200}{100}$

$\color{plum}= \tt72 \: pages$

▪︎Thus, the number of empty pages in the album = 72

Number of pages in the album that are filled :

$=\tt 100 - 72$

$\color{plum} = \tt28 \: pages$

<h2>▪︎Therefore :</h2>

Number of pages filled with hockey cards = 28

4 0

3 years ago