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kodGreya [7K]
3 years ago
12

Alex joined a video gaming site for $19.95. Now that he is a member, it costs $3.98 per video game purchased. After one year, Al

ex has spent $63.73. WRITE and SOLVE an equation to find how many
video games Alex bought this year.
Mathematics
1 answer:
Gemiola [76]3 years ago
4 0
19.95 + 3.98x = 63.73
3.98x = 63.73 - 19.95
3.98x = 43.78
x = 43.78/3.98
x = 11
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The data show the average monthly temperatures for two cities over a 6-month period. City 1: {20, 24, 40, 63, 76, 89} City 2: {4
Mrac [35]

Answer:

The MAD of city 2 is <u>less than</u> the MAD for city 1, which means the average monthly temperature of city 2 vary <u>less than</u> the average monthly temperatures for City 1.

Step-by-step explanation:

For comparing the mean absolute deviations of both data sets we have to calculate the mean absolute deviation for both data sets first,

So for city 1:

Mean = x1 = \frac{20+24+40+63+76+89}{6}

x1 = \frac{312}{6}

x1 = 52

Now to calculate the mean deviations mean will be subtracted from each data value. (Note: The minus sign is ignored as the deviation is the distance of value from the mean and it cannot be negative. For this purpose absolute is used)

20-52 = -32=32\\24-52=-28=28\\40-52=-12=12\\63-52=11\\76-52=24\\89-52=37

The deviations will be added then.Mean Absolute Deviation = \frac{32+28+12+11+24+37}{6} \\=\frac{144}{6}\\=24

So the mean absolute deviation for city 1 is 24 ..

For city 2:

Mean = x2 = \frac{41+50+58+62+72+83}{6}

x2 = \frac{366}{6}

x2 = 61

Now to calculate the mean deviations mean will be subtracted from each data value. (Note: The minus sign is ignored)

41-61=-20=20\\50-61=-11=11\\58-61=-3=3\\62-61=1\\72-61=11\\83-61=22

The deviations will be added then.Mean Absolute Deviation = \frac{20+11+3+1+11+22}{6} \\=\frac{68}{6}\\=11.33

So the MAD for city 2 is 11.33 ..

So,

The MAD of city 2 is <u>less than</u> the MAD for city 1, which means the average monthly temperature of city 2 vary <u>less than</u> the average monthly temperatures for City 1.

3 0
3 years ago
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a store selling a couch for $623 on a 24 month payment plan if your down payment of 152 is given and no interest is charged how
sveticcg [70]
First start with $623 and subtract the $152 deposit. Then divide that answer by 24, which equals 19.625. The monthly payment would be 19.63 monthly for 24 months.
3 0
3 years ago
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A recipe calls for the following spices: 18 teaspoon of turmeric, 18 teaspoon of ginger, and 14 teaspoon of cumin. What is the t
Sphinxa [80]

Answer:

50 total

Step-by-step explanation:

when it's asking for a total you add the numbers together, and whatever number you get is your answer :)

sorry if it's wronggg :( !!

7 0
3 years ago
Help pls and thxxxxxxx
tangare [24]

Answer:

B

Step-by-step explanation:

7 0
3 years ago
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What is the solution to the system of equations below?
Karolina [17]

Answer:

The solution is the point (18,0)

Step-by-step explanation:

we have

y=-\frac{1}{3}x+6 -----> equation A

y=\frac{1}{3}x-6 -----> equation B

Solve the system by substitution

substitute equation B in equation A

\frac{1}{3}x-6=-\frac{1}{3}x+6

solve for x

Adds (1/3)x both sides

\frac{1}{3}x-6+\frac{1}{3}x=6

\frac{2}{3}x-6=6

Adds 6 both sides

\frac{2}{3}x=6+6

\frac{2}{3}x=12

x=12(3)/2\\x=18

<em>Find the value of y</em>

substitute the value of x in equation A or equation B

y=-\frac{1}{3}(18)+6=0

therefore

The solution is the point (18,0)

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3 years ago
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