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Noah earns [tex]\$145[/tex] each week at his job. He is paid [tex]\$15.60[/tex] per hour. Which equation shows [tex]x[/tex], the number of hours Noah works each week?

A. [tex]15.60x = 145[/tex]
B. [tex]145x = 15.60[/tex]
C. [tex]15.60 + x = 145[/tex]
D. [tex]145 - x = 15.60[/tex]

Answer :

To solve this problem, we want to determine the number of hours Noah works each week. We know Noah earns \[tex]$145 per week, and he is paid \$[/tex]15.60 per hour.

To find the number of hours, we'll need an equation where the weekly earnings are calculated by multiplying the hourly rate by the number of hours worked. Let's set up the equation based on this relationship:

1. The hourly wage is \[tex]$15.60 per hour.
2. The total earnings in a week are \$[/tex]145.
3. Let [tex]\( x \)[/tex] represent the number of hours Noah works each week.

The equation that represents the relationship between these quantities is:
[tex]\[ 15.60 \times x = 145 \][/tex]

This equation tells us that Noah's weekly earnings (145) are the result of multiplying his hourly wage (15.60) by the number of hours he works ([tex]\( x \)[/tex]). Therefore, the correct equation that shows the number of hours Noah works each week is:

[tex]\[ 15.60x = 145 \][/tex]

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