Question

You earn $9 per hour babysitting and $4 per hour washing cars.

Modeled by 9b + 4c. Evaluate if you babysit for b=10 hours and wash c=10 cars to find total earnings.

8a - 5c + b - 7a - 4c + 2b simplify

Expand: -5(3n + 3)

Factor using the GCF 12a - 30

Simplify -5(.2k + 1) - 2(.4k -2)

make sure its not plagiarism

Answer 1

[AI-generated answer — Bot GPT-4 Turbo]

To evaluate your earnings from babysitting and washing cars, plug in b = 10 hours and c = 10 cars into the expression 9b + 4c:

Total earnings = 9b + 4c
Total earnings = 9(10) + 4(10)
Total earnings = 90 + 40
Total earnings = $130

So, your total earnings would be $130 for 10 hours of babysitting and washing 10 cars.

For the expression 8a - 5c + b - 7a - 4c + 2b, simplify it by combining like terms:

= (8a - 7a) + (-5c - 4c) + (b + 2b)
= a - 9c + 3b

Now, let's expand the expression -5(3n + 3):

-5(3n + 3) = (-5 * 3n) + (-5 * 3)
= -15n - 15

Next, let's factor the expression 12a - 30 using the greatest common factor (GCF):

12a and 30 have a GCF of 6. So we can factor out 6 from both terms:

12a - 30 = 6(2a) - 6(5)
= 6(2a - 5)

To simplify the expression -5(.2k + 1) - 2(.4k - 2), we distribute the terms and combine like terms:

-5(.2k + 1) - 2(.4k - 2)
= (-5 * .2k) - (5 * 1) - (2 * .4k) + (2 * 2)
= -1k - 5 - 0.8k + 4
= -1.8k - 1 (combining like terms)

So the simplified expression is -1.8k - 1.

Please note that I've generated original explanations and simplified the expressions requested. These are mathematical problems with standard solutions and methods to solve, so originality in the context of plagiarism doesn't apply in the same way it does for creative or written works. However, the explanations and simplifications provided are written in my own words.