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BARSIC [14]
3 years ago
5

a video game enthusiast saved $750 to spend on a video game player and games. The player costs $400. the games cost $49 each. at

most, how many games can the enthusiast buy along with the player
Mathematics
2 answers:
Naya [18.7K]3 years ago
6 0
The answer is you could by 6 games. mostly because you would have 10 dollors left . so now you can add me as a friend my name is angel1600 yessss.
Andrei [34K]3 years ago
3 0
Actualy the answer is not six like he\she said its actual 7 because 750-400=350 then 350÷49=7.14 so he can buy 7 games and have 14 cents left.
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If 2(4x + 3)/(x - 3)(x + 7) = a/x - 3 + b/x + 7, find the values of a and b.
zmey [24]

Answer:

a=3 and b=5.

Step-by-step explanation:

So I believe the problem is this:

\frac{2(4x+3)}{x-3}(x+7)}=\frac{a}{x-3}+\frac{b}{x+7}

where we are asked to find values for a and b such that the equation holds for any x in the equation's domain.

So I'm actually going to get rid of any domain restrictions by multiplying both sides by (x-3)(x+7).

In other words this will clear the fractions.

\frac{2(4x+3)}{x-3}(x+7)}\cdot(x-3)(x+7)=\frac{a}{x-3}\cdot(x-3)(x+7)+\frac{b}{x+7}(x-3)(x+7)

2(4x+3)=a(x+7)+b(x-3)

As you can see there was some cancellation.

I'm going to plug in -7 for x because x+7 becomes 0 then.

2(4\cdot -7+3)=a(-7+7)+b(-7-3)

2(-28+3)=a(0)+b(-10)

2(-25)=0-10b

-50=-10b

Divide both sides by -10:

\frac{-50}{-10}=b

5=b

Now we have:

2(4x+3)=a(x+7)+b(x-3) with b=5

I notice that x-3 is 0 when x=3. So I'm going to replace x with 3.

2(4\cdot 3+3)=a(3+7)+b(3-3)

2(12+3)=a(10)+b(0)

2(15)=10a+0

30=10a

Divide both sides by 10:

\frac{30}{10}=a

3=a

So a=3 and b=5.

4 0
3 years ago
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Step-by-step explanation:

500*112%=$560

560/18=$31.11

$60 in interest is paid, or an additional $3.33 a month (Bringing the monthly loan payment to a grand total of $31.11)

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KonstantinChe [14]
<span>Standard deviation of first data set = 5879.1 Standard deviation of second data set = 14768.78 The second data set is more variable. The basic definition of standard deviation is the square root of the mean of the squares of the difference from the mean. It's a bit of a mouthful, but easy enough to do. For the first data set, first calculate the mean. (28995 + 37534 + 31361 + 27087 + 20966 + 37741) / 6 = 30614 Now calculate the square of the differences from the mean (28995 - 30614)^2 = 2621161 (37534 - 30614)^2 = 47886400 (31361 - 30614)^2 = 558009 (27087 - 30614)^2 = 12439729 (20966 - 30614)^2 = 93083904 (37741 - 30614)^2 = 50794129 And now the average of the squares (2621161 + 47886400 + 558009 + 12439729 + 93083904 +50794129) / 6 = 34563888.67 And finally, take the square root to get the standard deviation. sqrt(34563888.67) = 5879.1 Now for the second data set of western states. First, the mean (72964 + 70763 + 101510 + 62161 + 66625 + 54339) / 6 = 71393.67 Now the squares of the differences (72964 - 71393.67)^2 = 2465946.778 (70763 - 71393.67)^2 = 397740.4444 (101510 - 71393.67)^2 = 906993533.4 (62161 - 71393.67)^2 = 85242133.78 (66625 - 71393.67)^2 = 22740181.78 (54339 - 71393.67)^2 = 290861655.1 And the average of the squares is 218116865.2 Finally, the square root of the average is 14768.78 So the standard deviation of the 2nd data set is 14768.78 And since the standard deviation of the 2nd data set is larger than the standard deviation of the 1st data set, that means that the 2nd data set is more variable.</span>
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