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Liula [17]
3 years ago
15

If Mrs Murphy separates her class into groups of 4 students each, 1 student is left over. If she separates her class into groups

of 5 students each,2 students are left over. What is the least number of students the class could have ?
Mathematics
1 answer:
guapka [62]3 years ago
6 0
The question means that when the number is 1 more than a multiple of 4 and two more than a multiple of 5. Write out multiples of 4 with one added on to them.
5,9,13,17,21,
Then write out multiples of 5 with one added on to them
7,12,17,22,
The smallest number that both lists share is 17, so that is the answer

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Given: If you live in Orlando, then you live in Florida.
____ [38]

Answer:

The law of detachment and syllogism is valid here

Explanation:

The law of detachment and syllogism is associated with inductive reasoning. This law states that a conclusion is valid if the premise or hypothesis is valid, therefore if a then b. In others a results in b.

The law of detachment is denoted

[(a→b)∧a]→b

The law of syllogism derives from the law of detachment. Syllogism says that if a results in b and b results in c, then a results in c. In other words since a causes b and b causes c, then if a then c.

It is denoted

[(a→b)∧(b→c)]→(a→c)

In the above example, given: If you live in Orlando, then you live in Florida

Morgan does not live in Orlando, therefore it is concluded that he does not live in Florida

5 0
3 years ago
matthew lives 6 miles east of the school drew lives 8 miles north of the school. what is the shortest distance between the two h
madam [21]

Answer:

Step-by-step explanation:

2miles

7 0
2 years ago
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Mila [183]

Answer:

629.9

Step-by-step explanation:

5 0
3 years ago
Your friend tells you that if you let her keep 2020 of your Pokemon cards for three months, she will give you 22 cards extra whe
Dmitrij [34]

Answer: 40 %

Step-by-step explanation:

Let the amount of one card = x

Hence, the value of 20 cards ( Principal amount ) = 20x

And, the value of 22 cards ( Total amount after 3 month ) = 22x

⇒ Total interest in 3 month = 22x - 20x =2x

Let the annual interest rate = r %

\frac{20x\times r\times 3/12}{100}=2 x ( By the formula of simple interest rate )

\implies \frac{10\times r\times 1/4}{100}=1

\implies \frac{10r}{400}=1

\implies 10r=400

\implies r=40\%

Hence, the annual rate of interest = 40%

8 0
2 years ago
Colin and Brian were playing darts. Colin scored 139 Brian scored 53 more than Colin. What was their combined score?
Inga [223]

Answer

Their combined score is 331 points

Explanation

Determine each person's score

Collin score: 139

Brian: 139 + 53 = 192

Add the scores together

139 + 192 = 331

5 0
3 years ago
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