Mia charges $2.25 per hour when she babysits, plus $5.00 for transportation to. which function rule represents the amount y Mia charges to babysit for x hours?

Answer:

• 120 pens and 200 pencils.

Explanation:

You can set a system of two equations.

1. Variables

• x: number of pens
• y: number of pencils

2. Cost

• each pen costs $1, then x pens costs: x
• each pencil costs $0.5, then y pencil costs: 0.5y

• Then, the total cost is: x + 0.5y

• The cost of the whole purchase was $ 220, then the first equation is:

          x + 0.5y = 220 ↔ equation (1)

3. There were 80 more pencils than pens

Then:

  pencils  =      80   +   pens

       ↓                               ↓

       y        =      80   +      x        ↔ equation (2)

4. Solve the system

i) Substitute the equation (2) into the equation (1):

• x + 0.5(80 + x) = 220

ii) Solve

• x + 40 + 0.5x = 220

• 1.5x = 180

• x = 180/1.5

• x = 120 pens

iii) Substitute x = 120 into the equation (2)

• y = 80 + 120

• y = 200 pencils

Solution: 120 pens and 200 pencils ← answer

Complement for angles means that the total degrees adds up to 90. (these are called complementary angles, supplementary angles add up to 180 degrees!)

Since you already have 86.4, you simple subtract.

90-86.4=3.6

your final answer is 3.6 degrees.