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yan [13]
3 years ago
8

You want to place a towel bar that is 10 1⁄4 inches long in the center of a door that is 26 1⁄3 inches wide. How far should you

place the bar from each edge of the door? (Write the answer as a mixed number.)
Mathematics
2 answers:
mestny [16]3 years ago
8 0
\frac{26 \frac{1}{3} -10 \frac{1}{4}}{2}=\\ \frac{ \frac{79}{3} - \frac{41}{4} }{2} =\\ \frac{ \frac{79}{3} * \frac{4}{4} - \frac{41}{4} * \frac{3}{3} }{2} =\\ \frac{ \frac{356}{12}- \frac{123}{12}  }{2} =\\ \frac{ \frac{233}{12} }{2} =\\ \frac{233}{24} =\\ 9\frac{17}{24}

9 17/24 inches.
Montano1993 [528]3 years ago
8 0

26 1/3 - 10 1/4=16 1/12

16 1/12 divided by 2=8 1/24

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3 0
3 years ago
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Nicole runs a farm stand that sells bananas and peaches. Each pound of bananas sells for $2 and each pound of peaches sells for
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<u><em>Answer:</em></u>

<u>The required system of equations is:</u>

2x + 3.25y = 231.75

x = y + 3

where x is the number of pounds of bananas and y is the number of pounds of peaches

<u><em>Explanation:</em></u>

<u>1- Defining the variables:</u>

Assume that the number of pounds of bananas sold is x

Assume that the number of pounds of peaches sold is y

<u>2- Setting the system of equations:</u>

<u>We are given that:</u>

i. Each pound of bananas sells for $2

  Money gained from selling x pounds of bananas is 2x

ii. Each pound of peach sells for $3.23

   Money gained from selling y pounds of peaches is 3.25y

iii. Nicole made $231.75 in total. <u>This means that:</u>

    2x + 3.25y = 231.75 .................> equation I

iv. Nicole sold 3 more pounds of bananas than pounds of peaches. <u>This</u>

    <u>means that:</u>

    pounds of bananas = pounds of peaches + 3

    x = y + 3 ..................> equation II

<u>3- Solving the equations (if required):</u>

In equation II, we have: x = y + 3

<u>Substitute with equation II in equation I and solve for y as follows:</u>

2x + 3.25y = 231.75

2(y+3) + 3.25y = 231.75

2y + 6 + 3.25y = 231.75

5.25y = 231.75 - 6

5.25y = 225.75

y = 43

<u>Substitute with y in equation II to get x:</u>

x = y + 3

x = 43 + 3 = 46

<u>Based on the above:</u>

Number of pounds of bananas = x = 46 pounds

Number of pounds of peaches = y = 43 pounds

Hope this helps :)

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4 years ago
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