Answer:
<u>9 inches are 1/4 or 0.25 yards and we used inches in the numerator and yards in the denominator for our ratio.</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
1 yard = 36 inches
2. In converting 9 inches to yards, what unit (omit the number) would you place in the numerator of your ratio?
This is the ratio for calculating the answer:
36/1 = 9/x
36x = 9 *1
36x = 9
x = 9/36
x = 1/4 or 0.25 yards
<u>9 inches are 1/4 or 0.25 yards and we used inches in the numerator and yards in the denominator for our ratio.</u>
(x - 1)(x - 2)(x + 2)
note that the sum of the coefficients 1 - 1 - 4 + 4 = 0
thus x = 1 is a root and (x - 1 ) is a factor
dividing x³ - x² - 4x + 4 by (x - 1)
x³ - x² - 4x + 4 = (x - 1)(x² - 4 ) (note (x² - 4 ) is a difference of squares )
x³ - x² - 4x + 4 = (x - 1)(x - 2)(x + 2)
(x - 1)(x - 2)(x + 2 ) =0
x - 1 = 0 ⇒ x = 1
x - 2 = 0 ⇒ x = 2
x + 2 = 0 ⇒ x = - 2
solutions are x = 1 or x = ± 2
Answer:
14
Step-by-step explanation:
Given that:
Cost of purchase and installation = 5323.50
Cost per window = 230.25
Cost of installation = 2100
Hence,
Total purchase cost of windows alone :
5323.50 - 2100 = 3,223.50
Therefore, the number of windows purchased is :
(Total purchase cost of windows alone / price per window)
(3,223.50 / 230.25)
= 14
Hence, 14 windows was purchased
The Associative Property say that it doesn't matter how we group the numbers (i.e. which we calculate first) when we add
(a + b) + c = a + (b + c)
The Commutative Property say we can swap numbers over and still get the same answer when we add
a + b = b + a
The Distributive Property:
a(b + c) = ab + ac
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-3a + 4b + 5a + (-7b) = -3a + 5a + 4b + (-7b)
<h3>Answer: the commutative property</h3>
Yes that’s your answer!! Good job!!
