MATHEMATICS MIDDLE SCHOOL

2. Simplify -6x - (-9x+4)

Answers

Answer 1

Answer:

Answer:

3x-4

Step-by-step explanation:

Inside of the parenthesis, it cannot be further simplified, so we moe to distributing.

=-6x+9x-4

Combine like terms

=3x-4

cannot be further simplified on its own

Answer 2

Answer:

Answer:

$\huge\boxed{-6x-(-9x+4)=3x-4}$

Step-by-step explanation:

$-6x-(-9x+4)=-6x-1(-9x+4)\n\n\text{Use the distributive property}\ a(b+c)=ab+ac\n\n=-6x+(-1)(-9x)+(-1)(4)\n\n=-6x+9x-4\qquad\text{combine like terms}\n\n=(-6x+9x)-4=3x-4$

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The city of Savannah recently increased their sales tax from 7% to 8%. How much more tax will you pay on a $20 purchase?

Answers

Answer

You will pay $0.20 (20 cents) more on a $20 purchase.

Explanation

To find a percentage of any number we just need to multiply the number by the percentage and divide by 100

First, we'll find the 7% of $20:

$(7*20)/(100) =(140)/(100) =1.40$

Next, we'll find the 8% of $20:

$(8*20)/(100) =(160)/(100) =1.60$

Finally, we just need to subtract $1.40 form $1.60:

$Tax Increment=1.60-1.40=0.20$

We can conclude that after the increasing of sales tax from 7% to 8%, you will pay $0.20 (20 cents) more on a $20 purchase.

If Georgia is 59,424.77 square miles, then what is the area of Georgia rounded to the nearest square mile?

Answers

59,424.77 rounded to the nearest square mile would be 59,425 because the .77 would get rounded up to a 1. That 1 gets added to the 424, hence 59,425.

59,424.77's tenths is 7 which means we had to rounded up instead of keeping the ones, so if we add the 1 that had represented the 7 on the tenths, then 59,424+1=59,425, which means the answer would be 59,425.

Solve for x in terms of p