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3 years ago

What is the answer for 16% of 150

Mathematics

2 answers:

Vera_Pavlovna [14]3 years ago

6 0

16% of 150
.16x150=24

liubo4ka [24]3 years ago

3 0

Make an equation: x= 16% x 50 x= 16 50 ---- x ---- Cross Multiply 100 1 x= 16 ------ = 8

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2 years ago

Jorge has a loan of $25,230. This loan

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3 years ago

Prove the divisibility of the following numbers:

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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:

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

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3 years ago

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