Answered

IDNLearn.com is designed to help you find reliable answers to any question you have. Ask anything and receive comprehensive, well-informed responses from our dedicated team of experts.

A plumber charges [tex]$\$[/tex]130[tex]$ to start a job plus $[/tex]\[tex]$56$[/tex] per hour. How many hours did she work if the total bill is [tex]$\$[/tex]214[tex]$?

This problem can be modeled with this equation:
\[
130 + 56x = 214
\]

Step 1: Which operation should be performed to isolate the variable term?
Apply the subtraction property of equality.

Which value do you need to subtract? $[/tex]\qquad 130 \checkmark[tex]$

Step 2: Which operation should be performed to make the coefficient of $[/tex]x$ equal to 1?
Apply the division property of equality.

Sagot :

GinnyAnsweridn
Using the given equation:

[tex]\[ 130 + 56x = 214 \][/tex]

Let's go through the problem step by step:

Step 1: Isolate the variable term

To isolate the term [tex]\( 56x \)[/tex], we first need to remove the constant term on the left side of the equation. We do this by subtracting 130 from both sides of the equation.

[tex]\[ 130 + 56x - 130 = 214 - 130 \][/tex]

This simplifies to:

[tex]\[ 56x = 84 \][/tex]

Step 2: Solve for [tex]\( x \)[/tex]

To isolate [tex]\( x \)[/tex], we need to eliminate the coefficient 56 by dividing both sides of the equation by 56:

[tex]\[ \frac{56x}{56} = \frac{84}{56} \][/tex]

Simplifying the right side, we get:

[tex]\[ x = 1.5 \][/tex]

So, the plumber worked 1.5 hours.
We appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. For dependable and accurate answers, visit IDNLearn.com. Thanks for visiting, and see you next time for more helpful information.