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andrew-mc [135]
3 years ago
15

Jessica weighed her dog at the end of each month for three months. At the end of the first month, her dog gained 12.48 pounds. A

fter the second month, her dog gained 20.57 pounds. After the third month, her dog gained 26.34 pounds. How many pounds, in total, did Jessica's dog gain after three months?
57.39 pounds

59.39 pounds

60.38 pounds

61.39 pounds
Mathematics
1 answer:
uranmaximum [27]3 years ago
6 0

Answer:59.39pounds

Step-by-step explanation:

Because you add 26.34+20.57+12.48 and then you will he 59.39points

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3 years ago
How many equivalence relations are there on the set 1, 2, 3]?
Alex787 [66]

Answer:

We need to find how many number of equivalence relations are on the set {1,2,3}

A relation is an equivalence relation if it is reflexive, transitive and symmetric.

equivalence relation R on {1,2,3}

1.For reflexive, it must contain (1,1),(2,2),(3,3)

2.For transitive, it must satisfy: if (x,y)∈R then (y,x)∈R

3. For symmetric, it must satisfy: if (x,y)∈R,(y,z)∈R then (x,z)∈R

Since (1,1),(2,2),(3,3) must be there is R, (1,2),(2,1),(2,3),(3,2),(1,3),(3,1). By symmetry,

we just need to count the number of ways in which we can use the pairs (1,2),(2,3),(1,3) to construct equivalence relations.

This is because if (1,2) is in the relation then (2,1) must be there in the relation.

the relation will be an equivalence relation if we use none of these pairs (1,2),(2,3),(1,3) . There is only one such relation: {(1,1),(2,2),(3,3)}

we can have three possible equivalence relations:

{(1,1),(2,2),(3,3),(1,2),(2,1)}

{(1,1),(2,2),(3,3),(1,3),(3,1)}

{(1,1),(2,2),(3,3),(2,3),(3,2)}

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3 years ago
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A)

Step-by-step explanation:

I used an Algebra app :) it is correct.

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3 0
3 years ago
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