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larisa [96]
3 years ago
6

There are 16 students playing kickball. Two students leave to go play hopscotch. How do you write the fraction of children left

on the kickball field in lowest terms.
Mathematics
1 answer:
olga55 [171]3 years ago
6 0

Answer:

7/8

Step-by-step explanation:

When 16 students are playing kickball, there are 16/16 students on the field. After 2 leave, this becomes 16-2/16, therefore 14/16 which is divisible by 2. and therefore 7/8, which the numerator and denominator have no common divisors.

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Determine the LCm of 15 and 20
docker41 [41]
If you just want to know what is the least common multiple of 20 and 15, it is 60. Usually, this is written as lcm(20,15) = 60
5 0
3 years ago
Prove the divisibility of the following numbers:
Brut [27]

Answer:

Step-by-step explanation:

To prove divisibility, we need to factor the divident such that one of its factors matches the divisor.

(I use the notation x|y to denote that x divides y)

(A)

75^{30}|45^{45}\cdot15^{15}\\45^{45}\cdot15^{15}=3^{45}\cdot 15^{45}\cdot 15^{15}=\\=3^{45}\cdot 15^{60}=3^{45}\cdot 15^{30}\cdot 15^{30}=3^{45}\cdot (3\cdot5)^{30}\cdot 15^{30}=\\=3^{45}\cdot 3^{30}\cdot(5\cdot 15)^{30}=3^{45}\cdot 3^{30}\cdot(75)^{30}\\\implies\\75^{30}|3^{45}\cdot 3^{30}\cdot75^{30}

(B)

72^{63}|24^{54}\cdot 54^{24}\cdot2^{10}\\24^{54}\cdot 54^{24}\cdot2^{10}=(2^{162}\cdot 3^{54})\cdot(2^{24}\cdot 3^{72}) \cdot 2^{10}\\=2^{196}\cdot 3^{126}

In this case, it is easier to also factor the divisor to primes:

72^{63}=2^{189}\cdot 3^{126}

Both of these factor must be matched in the dividend in order to prove divisibility, and that indeed turns out to be true:

2^{189}\cdot 3^{126}|2^{196}\cdot 3^{126}\implies\\2^{189}|2^{196}\,\,\mbox{and}\,\,3^{126}|3^{126}

6 0
3 years ago
What number should be added to 78to get a sum of 97
aalyn [17]

THE ANSWER TO THAT PROBLEM IS SIMPLY 175

4 0
3 years ago
Read 2 more answers
Pls help or your mom will kidnap you
andrey2020 [161]
I think it is option 1 sorry if wrong
3 0
3 years ago
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Help me please I’m not sure about this
frutty [35]

easy, 36/6=6

6 people, right?

7 0
3 years ago
Read 2 more answers
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