Answer:
1.5 inches
Step-by-step explanation:
(10+2x)(14+2x) = 221
4x² + 48x - 81 = 0
4x² + 54x - 6x - 81 = 0
2x(2x + 27) - 3(2x + 27) = 0
(2x + 27)(2x - 3) = 0
x = -27/2, 3/2
x = 3/2 or 1½ or 1.5 inches
Answer:
$40.35
Step-by-step explanation:
First, solve for the sales price. Change the percentage into a decimal:
60% = 60/100 = 0.60
Next, multiply 0.60 with the original price, 97:
97 x 0.60 = 58.2
Subtract 58.2 from the original price:
97 - 58.2 = 38.8
Now, change the tax percentage into a decimal.
4% = 4/100 = 0.04
Multiply 0.04 with the sales price:
38.8 x 0.04 = 1.552
Add the sales price (rounded to nearest hundredth) to the sales price:
1.55 + 38.8 = 40.35
$40.35 is your answer.
~
Answer:
COPD
Step-by-step explanation:
COPD is a lung disease caused by tobacco use and other factors
Answer: The fraction 301/900
Note: I'm assuming the 4's continue on forever
==============================================
Work Shown:
I'm going to assume that the 4s go on forever. I'll represent this with three dots after the last 4 like so
0.334444...
Now let x = 0.334444...
Multiply both sides by 100
x = 0.334444...
100x = 100*(0.334444...)
100x = 33.444444...
And repeat with 1000
x = 0.334444...
1000x = 1000*(0.334444...)
1000x = 334.444444...
Then subtract and solve for x. Notice how the decimal parts line up and cancel
1000x-100x = (334.444444...) - (33.444444...)
1000x-100x = (334+0.444444...) - (33+0.444444...)
1000x-100x = 334+0.444444... - 33 - 0.444444...
1000x-100x = (334-33)+(0.444444... - 0.444444...)
900x = 334 - 33
900x = 301
x = 301/900
