Answer:
length = 23 inches ; width = 18 inches.
Step-by-step explanation:
Length and width can be found from the following expression after solving for x. The expression is given by :
outside area - inside area = 148 square inches
(2·x - 1)·(x + 6) - (2·x - 5)·(x + 2) = 148 (On substitute length and width expressions. Each area is the product of length and width.)
⇒ 2·x² + 11·x - 6 - (2·x² - x - 10) = 148
⇒ 12·x + 4 = 148 .................(On simplifying the expression)
⇒ 12·x = 144
⇒ x = 12
Then the original length of the mat is given by substituting value of x in outside length expression :
2·x - 1 = 2·12 - 1 = 23 inches
and the original width of the mat is given by :
x + 6 = 12 + 6 = 18 inches
Hence, the overall dimensions of the original mat are 23 inches by 18 inches.
Lets solve the problem with a rule of three, knowing that 118 is the 100%:
100% -------> 118
120% -------> x
x = (120)(118)/100
x = 141.6
therefore the 120% of 118 is 141.6
15x^6/20y^5 * 6y^2/5x^4 when simplified becomes 9x^2/10y^3
Answer: C. a prediction based on the data is reliable, because the means of the samples are close together.
Step-by-step explanation:
Answer:
first off, take pic right side up next time. secondly, it's the forth one down
Step-by-step explanation:
