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astraxan [27]
3 years ago
13

3. Lonnie has a gift card worth $600 for a local entertainment store. Movies cost $20 each and newly released video games cost $

50 each. In order to use the gift card, Lonnte must purchase
at least thirteen items. Which is a combination of movies and newly released video games that Lonnie could purchase using his gift card? (2 points)

6 movies and 4 video games

14 movie and 7 video games

O O O O

2 movies and 10 video games

8 movies and 6 video games
Mathematics
1 answer:
Mandarinka [93]3 years ago
4 0

Answer:

8 movies and 6 video games

<em></em>

Step-by-step explanation:

Given

Gift\ Card = \$600

Movies =\ $20

Video\ Game = \$50

Minimum\ Items = 13

Required

Determine the items Lonnie can afford

To solve this question, we make use of trial by error method by taking the options one at a time:

Option 1: 6 movies and 4 video games

<em>This option can not be considered because the number of items is not up to the minimum Lonnte must purchase.</em>

<em />

Option 2: 14 movies and 7 video games

Cost = 14 * \$20 + 7 * \$50

Cost = \$280 + \$350

Cost = \$630

<em>This option can not be considered because the cost of purchase is greater than Lonnte's worth of Gift card.</em>

<em />

Option 3: 2 movies and 10 video games

<em>This option can not be considered because the number of items is not up to the minimum Lonnte must purchase.</em>

<em />

Option 4: 8 movies and 6 video games

Cost = 8 * \$20 + 6 * \$50

Cost = \$160 + \$300

Cost = \$460

Hence, the correct option is <em>8 movies and 6 video games </em>

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Problem Page Ann will run more than 38 miles this week. So far, she has run 21 miles. What are the possible numbers of additiona
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8 0
3 years ago
Calculate the sample standard deviation of data from Question 1<br> 76,45,64,80,92
mash [69]

Answer:

S.D = 15.98

Step-by-step explanation:

Given: 76,45,64,80,92

Required: Determine the standard deviation

We start by calculating the mean

Mean = \frac {\sum x}{n}

Where x-> 76,45,64,80,92 and n = 5

Mean = \frac {76+45+64+80+92}{5}

Mean = \frac{357}{5}

Mean = 71.4

Subtract Mean (71.4) from each of the given data

76 - 71.4 = 4.6\\45 - 71.4 = -26.5\\64 - 71.4 = -7.4\\80 - 71.4 = 8.6\\92 - 71.4 = 20.6

Determine the absolute value of the above result

|4.6| = 4.6\\|-26.5| = 26.5\\|-7.4| = 7.4\\|8.6| = 8.6\\|20.6| = 20.6

Square Individual Result

4.6^2 = 21.16 \\26.5^2 = 702.25\\7.4^2 = 54.76\\8.6^2 = 73.96\\20.6^2 = 424.36

Calculate the mean of the above result to give the variance

Mean = \frac {\sum x}{n}

Mean = \frac{21.16 + 702.25 + 54.76 + 73.96 + 424.36}{5}\\Mean = \frac{1276.49}{5}\\Mean = 255.298

Hence, Variance = 255.298

Standard Deviation is calculated by \sqrt{Var}

SD = \sqrt{255.298}

S.D = 15.9780474402

S.D = 15.98 (Approximated)

6 0
3 years ago
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