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xxMikexx [17]
2 years ago
10

I’m making quilts, I have 811 handkerchiefs in all & I need 25 for one quilt. How many quilts can I make & how many hand

kerchiefs will be left over?
Mathematics
2 answers:
Nadusha1986 [10]2 years ago
6 0
You can make 32 quilts and have 11 handkerchiefs left over because 25 x 32 =800 and 800 + 11 =811. 33 is too many because 25 x 33 = 825
IgorC [24]2 years ago
6 0

Answer:

The number of quilt that can be made from 811 handkerchief is 32 quilts and the left over handkerchief is 11 handkerchiefs.

Step-by-step explanation:

He has a 811 handkerchiefs in all and he wants to use it to make quilts. He can only use 25 handkerchiefs to make 1 quilt. The number of quilt he can make with 811 handkerchiefs can be computed by dividing 811 by 25 but the result will be in decimal . So we find the nearest number to 811 that can divide 25 without remainder.

The nearest number to 811 that can divide 25 without remainder is 800. Dividing 800 by 25 , you get 32.

800/25 = 32

This means 800 handkerchiefs will produce 32 quilt. Since 811 handkerchief is available the number of left over handkerchief will be 811 - 800 = 11 handkerchief.

The number of quilt that can be made from 811 handkerchief is 32 quilts and the left over handkerchief is 11 handkerchiefs.

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Check whether the relation R on the set S = {1, 2, 3} is an equivalent
kozerog [31]

Answer:

R isn't an equivalence relation. It is reflexive but neither symmetric nor transitive.

Step-by-step explanation:

Let S denote a set of elements. S \times S would denote the set of all ordered pairs of elements of S\!.

For example, with S = \lbrace 1,\, 2,\, 3 \rbrace, (3,\, 2) and (2,\, 3) are both members of S \times S. However, (3,\, 2) \ne (2,\, 3) because the pairs are ordered.

A relation R on S\! is a subset of S \times S. For any two elementsa,\, b \in S, a \sim b if and only if the ordered pair (a,\, b) is in R\!.

 

A relation R on set S is an equivalence relation if it satisfies the following:

  • Reflexivity: for any a \in S, the relation R needs to ensure that a \sim a (that is: (a,\, a) \in R.)
  • Symmetry: for any a,\, b \in S, a \sim b if and only if b \sim a. In other words, either both (a,\, b) and (b,\, a) are in R, or neither is in R\!.
  • Transitivity: for any a,\, b,\, c \in S, if a \sim b and b \sim c, then a \sim c. In other words, if (a,\, b) and (b,\, c) are both in R, then (a,\, c) also needs to be in R\!.

The relation R (on S = \lbrace 1,\, 2,\, 3 \rbrace) in this question is indeed reflexive. (1,\, 1), (2,\, 2), and (3,\, 3) (one pair for each element of S) are all elements of R\!.

R isn't symmetric. (2,\, 3) \in R but (3,\, 2) \not \in R (the pairs in \! R are all ordered.) In other words, 3 isn't equivalent to 2 under R\! even though 2 \sim 3.

Neither is R transitive. (3,\, 1) \in R and (1,\, 2) \in R. However, (3,\, 2) \not \in R. In other words, under relation R\!, 3 \sim 1 and 1 \sim 2 does not imply 3 \sim 2.

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