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jek_recluse [69]

2 years ago

12

Benny bought 5 new trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 4

3 cards left. How many cards did Benny start with?

1 answer:

Studentka2010 [4]2 years ago

3 0

81 cards 43x2=86 86-5=81

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Solve the equatuon<br><br> x/2-(2/(x+1))=1<br><br> x=?

Snezhnost [94]

$\frac{x}{2}-\frac{2}{x+1}=1$

We have 2 denominators that we need to get rid of. Whenever there are the denominators, all we have to do is multiply all whole equation with the denominators.

Our denominators are both 2 and x+1. Therefore, we multiply the whole equation by 2(x+1)

$\frac{x}{2}[2(x+1)]-\frac{2}{x+1}[2(x+1)] = 1[2(x+1)]$

Then shorten the fractions.

$\frac{x}{2}[2(x+1)]-\frac{2}{x+1}[2(x+1)] = 1[2(x+1)]\\x(x+1)-2(2)=1(2x+2)$

Distribute in all.

$x^2+x-4=2x+2$

We should get like this. Because the polynomial is 2-degree, I'd suggest you to move all terms to one place. Therefore, moving 2x+2 to another side and subtract.

$x^2+x-4-2x-2=0\\x^2-x-6=0\\$

We are almost there. All we have to do is, solving for x by factoring. (Although there are more than just factoring but factoring this polynomial is faster.)

$(x-3)(x+2)=0\\x=3,-2$

Thus, the answer is x = 3, -2

7 0

2 years ago

Scores are 78,81,83, and 76 what must she earn on the fifth test to earn an average test score of 81

iogann1982 [59]

The average value of a data set is equal to the sum of each entry divided by the number of entries. In this case, we have 5 scores, so we can find set up the following equation where x is the fifth score:

$\dfrac{78+81+83+76+x}{5} = 81$

Now solve for x:

$78 + 81 + 83 + 76 + x = 81(5)$

$318 + x = 405$

$x = 87$

The fifth score must be 87.

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8 3/5 - 1 3/10 = ?<br><br> this is fractions

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1) $8 \frac{3}{5} - 1 \frac{3}{10}$

2) $8 \frac{6}{10} - 1 \frac{3}{10}$ =

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Answer
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