Convert 299 fractions, 1/2, 1/3, 1/4, ……, 1/300 to decimals. How many finite fractions in those fractions?

9514 1404 393

  20

Step-by-step explanation:

An equivalent decimal fraction is non-repeating if and only if the fraction denominator has a prime factorization consisting only of powers of 2 and 5.

Powers of 2 less than 300 are ...

  2, 4, 8, 16, 32, 64, 128, 256

Powers of 5 less than 300 are ...

  5, 25, 125

A fraction will have a finite decimal representation if its denominator is one of these numbers, or some product of these numbers.

Products would include ...

  10, 50, 250, 20, 100, 40, 200, 80, 160

The count of all of the listed numbers is ...

  8 powers of 2 + 3 powers of 5 + 9 powers of 2 and 5 = 20 listed numbers

There are 20 finite decimal fractions among the fractions 1/2 ... 1/300.

146 days

step-by-step explanation:

1. (365*2)/5 =

730/5 =

146 days

2. 365/5=

73*2   = 146

c = 0.429t

step-by-step explanation:

the constant rate at which carlos harvests cassava is 35 minutes per 15 cassavas 15/35 = 0.429 cassava per minute

therefore, an equation that models the number of cassava (c) that harvest carlos in a time (t) is the following:

where t is the time in minutes.

this means that when 35 minutes have elapsed 15 cassava have been harvested, at 70 minutes 30 cassava have been harvested and so on.