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pashok25 [27]
3 years ago
8

Stefan sells Jin a bicycle for $137 and a helmet for $17. The total cost for Jin is 140% of what Stefan spent originally to buy

the bike and helmet. How much did Stefan spend originally? How much money did he make bying the bicycle and helmet to Jin? Stefan originally spent $​
Mathematics
1 answer:
MatroZZZ [7]3 years ago
4 0

Answer:

Stefan originally spent $110.

Stefan made a profit of $44.

Step-by-step explanation:

Given that:

Stefan sold the bike and helmet for $137 and $17

Total amount = 137+17 = $154

This is 140% of the price Stefan originally paid.

Let,

x be the original price paid by Stefan

140% of x = $154

\frac{140}{100}x=154\\1.4x = 154\\\frac{1.4x}{1.4}=\frac{154}{1.4}\\x=110

Therefore,

Stefan originally paid $110 for the bicycle and helmet.

Profit made by Stefan = 154-110 = $44

Hence,

Stefan originally spent $110.

Stefan made a profit of $44.

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Answer:

Mean: 6.9 hours; Median 7 hours

Step-by-step explanation:

<u><em>⇒ Given:</em></u>

<em>-------------------------------------------------------------------------------------------------------------</em>

<em>Suppose these show number of hours each student in a class slept last night:</em>

<em>8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6</em>

<em>What is the mean of these numbers (rounded to the nearest tenth)?</em>

<em>What is the median?</em>

<em>Mean: 6.9 hours; Median 7 hours</em>

<em>Mean: 6.9 hours; Median 7.5 hours</em>

<em>Mean: 7 hours; Median 6.9 hours</em>

<em>Mean: 7.2 hours; Median 7 hours</em>

<em>-------------------------------------------------------------------------------------------------------------</em>

<u><em>⇒ Solution~:</em></u>

<em>-------------------------------------------------------------------------------------------------------------</em>

<em>Let's first define "Median".</em>

<em>You may be wondering "What is median/What is mean?".</em>

<em>When it asking for "Mean" It asking for the average.</em>

<em>When it asking for "Median" It asking for the middle number.</em>

<em>The formula for "Mean" is : M = sum of the terms/number of terms</em>

<em />

<em>According to the given we have;</em>

<em>8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6</em>

<em />

<em>Let's first find the "Mean":</em>

<em>First, add all the number together.</em>

<em>8 + 4 + 8 + 7 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6</em>

<em>12 + 8 + 7 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6</em>

<em>20 + 7 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6</em>

<em>27 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6</em>

<em>34 + 9 + 6 + 5 + 10 + 7 + 6 + 6</em>

<em>43+ 6 + 5 + 10 + 7 + 6 + 6</em>

<em>49+ 5 + 10 + 7 + 6 + 6</em>

<em>54+ 10 + 7 + 6 + 6</em>

<em>64 + 7 + 6 + 6</em>

<em>71+ 6 + 6</em>

<em>77 + 6</em>

<em>= 83</em>

<em>Now let's count how many numbers of hours each student in a class slept.</em>

<em>8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6 = 12</em>

<em>Now 83 divide by 12:</em>

<em>83/12 = 6.9166666666667 {Round}</em>

<em>6.9166666666667 = 6.9</em>

<em>Therefore, Mean = 6.9</em>

<em>-------------------------------------------------------------------------------------------------------------</em>

<em>Next, Let's find the "Median":</em>

<em>To find the Median, place the numbers in value order and find the middle.</em>

<em>⇒ 8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6</em>

<em>⇒ 4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10</em>

<em>Now we have them in order:</em>

<em>4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10</em>

<em>Then, we find the middle number:</em>

<u><em>4,</em></u><em> 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, </em><u><em>10</em></u>

<u><em>4, 5,</em></u><em> 6, 6, 6, 7, 7, 7, 8, 8, </em><u><em>9, 10</em></u>

<u><em>4, 5, 6,</em></u><em> 6, 6, 7, 7, 7, 8, </em><u><em>8, 9, 10</em></u>

<u><em>4, 5, 6, 6, </em></u><em>6, 7, 7, 7, </em><u><em>8, 8, 9, 10</em></u>

<u><em>4, 5, 6, 6, 6, </em></u><em>7, 7,</em><u><em> 7, 8, 8, 9, 10</em></u>

<em />

<em>Now You see that there two's 7 left.</em>

<em> If there is an even number of numbers add the two middles and divide by 2</em>

<em>Thus,</em>

<em>7 + 7 = 14</em>

<em>14/2 = 7</em>

<em>Therefore, Median = 7.</em>

<em>-------------------------------------------------------------------------------------------------------------</em>

<em>According to the solving above we can conclude that:</em>

<em>Mean: 6.9 hours; Median 7 hours</em>

<em>-------------------------------------------------------------------------------------------------------------</em>

<em />

<u><em>xcookiex12</em></u>

<em>9/4/2022</em>

<em>#Learnwithxcookiex12</em>

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