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mario62 [17]
3 years ago
11

Shurley bought a new bed and now needs to find pillows, sheets, and a comforter for it. She wants to have black or white pillows

; striped or plaid sheets; and a solid, polka-dot, or zebra-print comforter. How many unique bedding combinations can Shurley make?
Mathematics
2 answers:
Firlakuza [10]3 years ago
8 0

There are 2 different pillows, 2 different sheets and 3 different comforters.


Multiply all the choices together to find all the combinations:


Total combinations: 2 x 2 x 3 = 12


There are 12 different combinations.


Fed [463]3 years ago
4 0

Answer:

12

Step-by-step explanation:

The fundamental counting principle states that to find the total number of combinations, we multiply the choices for each element.

She can choose between 2 types of pillows; 2 types of sheets; and 3 types of comforters.  This gives us

2(2)(3) = 4(3) = 12

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If Ms. Callahan has 24 feet of fencing, and she is building a pen, the PERIMETER of the pen must be 24 feet.  The perimeter is basically the distance around a figure.  The perimeter of a rectangle is equal to length plus width plus length plus width, AKA l+w+l+w, or P=2l+2w.  In a rectangle, two pairs of sides are of equal length--so the two lengths and the two widths must be equal.

So, the formula is P=2l+2w.  P, the perimeter, is 24, so 24=2l+2w.  Let's try some values for l and see what we get for w.  If the length is 1, l=1.  24=(2*1)+2w.  24=2+2w.  22=2w.  w=11.  So if length is 1 foot, width is 11 feet.

What if l=2?  24=(2*2)+2w.  24=4+2w.  2w=20.  w=10.  If l=2, w=10.  And l=3?  24=(2*3)+2w.  24=6+2w.  18=2w.  w=9.  If l=3, w=9.  Do you see a pattern?  Every time we add 1 to l, we subtract 1 from w.  So if l=4, w=8.  If l=5, w=7.  If l=6, w=6.  Here, we start getting similar answers: if l=7, w=5.  If l=8, w=4.  Since we already know these values work, it doesn't matter whether we call it length or width.  So, our answers are below.

Answer: Ms Callahan can make a pen with a length of 1 foot and a width of 11 feet, a length of 2 feet and a width of 10 feet, a length of 3 feet and a width of 9 feet, a length of 4 feet and a width of 8 feet, a length of 5 feet and a width of 7 feet, or a length of 6 feet and a width of 6 feet.
6 0
3 years ago
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gtnhenbr [62]
B
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6 0
3 years ago
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3 years ago
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Taya2010 [7]

Answer:

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Step-by-step explanation:

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