Answer:
The number is 49
Step-by-step explanation:
I used calculator gheheheh
Step-by-step explanation:
<u>2.5 CM to Inches – Unit Definition</u>
<u>2.5 CM to Inches – Unit Definition A single inch has 2.54 centimeters. “Centimeter” is the North American spelling, while in the UK it is centimetre. Centimeter is used throughout the European continent and around the world.</u>
96: 1,2,3,4,6,8,12,16,24,32,48,96
18: 1,2,3,6,9,18
GCF: 6
But, if you're asking what 96 + 18 it's 114
Answer: f(x)= 500x + 12000
If the base population is 12000, which I’m sure it is then 500 would be added annually to that population per year which is why it says 500x. Therefore it would be the first one because it’s linear and it’s adding 500 per year.
<u>Define x:</u>
Let x be the width of the border
Length of the rug = 15 -2x
Width of the rug = 12 -2x
Area of the rug = (15 - 2x)(12 - 2x)
<u>Construct equation:
</u>
Given that the area of the rug os 108 ft²
(15 - 2x)(12 - 2x) = 108
Apply distributive property:
180 - 20x - 24x + 4x² = 108
Collect all terms on the left hand side:
4x² - 44x + 72 = 0
Factorise:
x² - 11x + 18 = 0
<span> (x - 2) (x - 9)
Apply zero product property:
x = 2 or x = 9
<u>Check x:
</u>
When x = 9,
Width = 12 - 9 - 9 = -6
</span>⇒ <span>x = 9 is rejected since width cannot be negative
When x = 2
Length = 15 - 2 - 2 = 11 ft
Width = 12 - 2 - 2 = 8 ft
Answer: The border is 2 feet wide.
</span>