<h2>
Explanation:</h2>
As I understand, the given equation is:
So we need to write this into general form. The general form of the equation of a line is given by:
Where A and B can't be zero at the same time. So subtracting 5y from both sides:
Answer: you spent 250 hours during your cleanup.
you spent 150 hours painting
Step-by-step explanation:
Let x represent the number of hours that you spent during your cleanup.
Let y represent the number of hours that you spent painting.
you earn $8 an hour cleaning up and $12 an hour painting last summer and you earned $3800 . it means that
8x + 12y = 3800- - - - - - - - - -- 1
You worked a total of 400 hours. This means that
x + y = 400
Substituting x = 400 - y into equation 1, it becomes
8(400 - y) + 12y = 3800
3200 - 8y + 12y = 3800
- 8y + 12y = 3800 - 3200
4y = 600
y = 600/4 = 150 hours
Substituting y = 150 into x = 400 - y, it becomes
x = 400 - 150
x = 250 hours
<h3>
Answer: 7(x+3)(x-2)</h3>
========================================
Explanation:
First factor out the GCF 7
7x^2 + 7x - 42
7*x^2 + 7*x + 7*(-6)
7(x^2 + x - 6)
Now focus on factoring x^2+x-6
We need to find two numbers that multiply to -6 and add to 1. Those values are 3 and -2. That means x^2+x-6 factors to (x+3)(x-2).
The 7(x^2 + x - 6) then turns into 7(x+3)(x-2)
The factor out front, the "7", is the integer factor. The other factors (x+3) and (x-2) are binomial factors.
The order doesn't matter.
objects can be chosen out of 
objects, when the order doesn't matter, in 
ways.
So, the answer is 
ways.
The area of the paper used to wrap the gift is 3 3/4 square feet
<h3>How to determine the total area?</h3>
The dimension is given as:
1 1/4 by 3
The area is the product of the dimensions.
So, we have
Area = 1 1/4 * 3
Express as an improper fraction
Area = 5/4 * 3
Evaluate
Area = 15/4
Rewrite as:
Area = 3 3/4
Hence, the area of the paper used to wrap the gift is 3 3/4 square feet
Read more about areas at:
brainly.com/question/24487155
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