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Brums [2.3K]
3 years ago
10

A website allows users to download television episodes and music videos. All television episodes cost the same to download, and

all the music videos cost the same to download. Ryan pays $5.95 to download 4 television episodes ans 1 music video. Seth pays $6.95 to download 3 television episodes and 2 music videos. How much does the website charge to download a television episode? a music video?
Mathematics
1 answer:
lisov135 [29]3 years ago
6 0
For Ryan it would be 5.95=4t+m
For Seth it would be 6.95=3t+2m
1.So next you would figure out just one of the prices by moving the equation around and getting just one variable on each side: m=5.95-4t
2. Substitute that into the second equation and solve: 6.95=3t+2(5.95-4t) then
6.95=3t+11.9-8t (subtract 11.9 from each side) -4.95=-5t (divide each side by 5) t=.99
3. now you know each each tv show is 99 cents. now substitute that into the equation and solve: 6.95=3(.99)+2m then 6.95=2.97+2m (subtract 2.97 from each side) 3.98=2m (divide each side by 2) m=1.99
4. now you know each music video is $1.99 each. check your answer by substituting in each equation:
5.95=4(.99)+(1.99) 5.95=5.95 yes!
6.95=3(.99)+2(1.99) 6.95=6.95 yes!
5. solve in a full sentence: The website charges $0.99 to download a television show and $1.99 to download a music video
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Answer:

$13564

Step-by-step explanation:

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\left|\begin{array}{c|c|c}160,850 &349,700 &$39,148.75 plus 33\%  of the amount over 160,850 \\349,700 &$no limit&$101,469.25 plus 35\%  of the amount over 349,700\end{array}\right|

Mary’s taxable income= $68,562

From the table, If taxable income is over $31,850 but not over $77,100

The tax = $4386.25 + 25% of the amount over 31,850

Amount over $31,850=$68,562-$31,850

=$36,712

Therefore:

Mary's tax = $4386.25 + (25% of $36,712)

=$4386.25 +9,178

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=$13564 (to the nearest dollar)

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10C4 represent the Combinations of 10 objects taken 4 at a time. 

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Answer:

Step-by-step explanation:

47+34=9k

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