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yKpoI14uk [10]
2 years ago
15

Marshall has two pieces of string, one 12 feet long and the other 18 feet long. For an art project, he wants to cut them up to p

roduce many pieces of string that are all of the same length, with no string left over. What is the greatest length, in feet, that he can make them?
Mathematics
1 answer:
lukranit [14]2 years ago
4 0
For the first piece of string that is 12 feet long, he could make two 6 foot pieces. For the second piece of string that is 18 feet long he could make two 9 foot pieces. Hope I could help! :D
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Is it one solution or many solutions y=2x+7 and y=3x-1
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the answer is one solution

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Answer:

5

Step-by-step explanation:

1) Solve for the slope(m):

(y2-y1) / (x2-x1)

pick any

(-3 - (-5) )/ (1 - 0)

(-3 + 5) / (1 - 0)

2/1 = 2

2) b(intercept) value is found when x = 0:

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b = y

b = -5

3) Plug it in:

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3 years ago
Find (a) the number of subsets and (b) the number of proper subsets of the set.
vaieri [72.5K]

Answer:

(a) Total No. of Subsets = 128

(b) Total No. of Proper Subsets = 127

Step-by-step explanation:

First we need to define the set of days of the week.

Set of Days of Week = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}

It is evident from the set of days of the week, that it contains 7 elements.

(a)

The total no. of subsets of a given set is given by the following formula:

Total No. of Subsets = 2^n

where,

n = no. of elements of the set = 7

Therefore,

Total No. of Subsets = 2^n

Total No. of Subsets = 2^7

<u>Total No. of Subsets = 128</u>

(b)

The total no. of proper subsets of a given set is given by the following formula:

Total No. of Proper Subsets = (2^n) - 1

where,

n = no. of elements of the set = 7

Therefore,

Total No. of Proper Subsets = (2^n) - 1

Total No. of Proper Subsets = (2^7) - 1 = 128 - 1

<u>Total No. of Proper Subsets = 127 </u>

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