Answered

Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

Determine the additional cost per month of the package deal using the equation

[tex]\[3.2x - 2(x - 1.6) = 28.46\][/tex]

where [tex]\(x\)[/tex] is the additional cost per month. What is the additional cost per month of the package deal?

Sagot :

GinnyAnswer
To determine the additional cost per month of the package deal, we need to solve the equation:

[tex]\[ 3.2x - 2(x - 1.6) = 28.46 \][/tex]

Let's follow the steps to solve for [tex]\( x \)[/tex].

1. Distribute the 2 in the second term:

[tex]\[ 3.2x - 2x + 3.2 = 28.46 \][/tex]

2. Combine like terms:

Combine [tex]\( 3.2x \)[/tex] and [tex]\( -2x \)[/tex]:

[tex]\[ (3.2 - 2)x + 3.2 = 28.46 \][/tex]

Simplifies to:

[tex]\[ 1.2x + 3.2 = 28.46 \][/tex]

3. Isolate [tex]\( x \)[/tex] by subtracting 3.2 from both sides of the equation:

[tex]\[ 1.2x = 28.46 - 3.2 \][/tex]

[tex]\[ 1.2x = 25.26 \][/tex]

4. Solve for [tex]\( x \)[/tex] by dividing both sides of the equation by 1.2:

[tex]\[ x = \frac{25.26}{1.2} \][/tex]

5. Calculate the result:

[tex]\[ x = 21.05 \][/tex]

So, the additional cost per month of the package deal is:

[tex]\[ x = 21.05 \][/tex]
Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.