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Simone has 5 employees in her flower shop. Each employee works [tex]\(\frac{64}{15}\)[/tex] hours per day. How many hours, in total, do the 5 employees work per day?

A. [tex]\(31 \frac{1}{3}\)[/tex]
B. [tex]\(\frac{30^2}{3}\)[/tex]
C. 30
D. 28


Sagot :

To determine how many hours, in total, Simone's 5 employees work per day, we need to perform the following steps:

1. First, find out how many hours one employee works in a day. This is given by the expression [tex]\( \frac{64}{15} \)[/tex].

2. Next, multiply the number of hours one employee works by the total number of employees, which is 5.

Let's break it down:

1. Calculate the number of hours per employee:
[tex]\[ \frac{64}{15} \][/tex]

2. Multiply this value by 5 employees to find the total hours worked by all employees in a day:
[tex]\[ 5 \times \frac{64}{15} \][/tex]

Carrying out the multiplication:
[tex]\[ 5 \times \frac{64}{15} = \frac{320}{15} \][/tex]

Simplifying [tex]\(\frac{320}{15} \)[/tex] results in approximately:
[tex]\[ 21.333333333333332 \][/tex]

Thus, the total number of hours that the 5 employees work per day is approximately [tex]\( 21.333333333333332 \)[/tex].

Therefore, the best answer to the question is not explicitly listed among the options provided. However, the closest correct value would be in a more simplified or exact fraction form.

Reviewing the options:
A. [tex]\( 31 \frac{1}{3} \)[/tex] which is [tex]\( 31.3333\)[/tex]
B. [tex]\( \frac{30^2}{3} \)[/tex] which is [tex]\( 300\)[/tex]
C. [tex]\( 30 \)[/tex]
D. [tex]\( 28 \)[/tex]

Clearly, none of the provided options is numerically equivalent to 21.333333333333332. Therefore, based on the correct calculation, the error might be in the provided options, as none directly match the computed value.
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