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One integer is two more than another. The sum of the lesser integer and double the greater is 7. What is the greater integer?
Let x = the greater integer and y = the lesser integer. From the ?rst sentence within the question we get the equation x = y + 2. From the second sentence in the question we get y + 2x = 7. Substitute x = y + 2 within the second equation: y + 2(y + 2) = 7; use the distributive property to simplify to: y + 2y + 4 = 7. Combine like terms to obtain: 3y + 4 = 7; subtract 4 from both sides of the equation: 3y + 4 - 4 = 7 - 4. Simplify to 3y = 3.Divide both sides of the equation through 3: 3y/3 =3/3; thus y = 1. Since the greater is two more than the lesser, the greater is 1 + 2 = 3.
4 friends have 235 marbles and want to share.How many marbles should each friend receive?
The positive value of k for which x 2 +Kx +64 = 0 & x 2 - 8x + k = 0 will have real roots . Ans: x 2 + K x + 64 = 0 ⇒ b 2 -4ac > 0 K 2 - 256 > 0 K
Definition 1. Given any x 1 & x 2 from an interval I with x 1 2 if f ( x 1 ) 2 ) then f ( x ) is increasing on I. 2. Given any x 1 & x 2 from an interval
Evaluate the mean of temperatures: Example: Given the subsequent temperature readings, 573, 573, 574, 574, 574, 574, 575, 575, 575, 575, 575, 576, 576, 576, 578 So
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Case 1: Suppose we have two terms 8ab and 4ab. On dividing the first by the second we have 8ab/4ab = 2 or 4ab/8ab = (1/2) depending on whether we consider either 8ab or 4ab as the
Wht is Frobenius Number? Start discussion and problems solving in Frobenius Number.
In a frequency distribution mode is 7.88, mean is 8.32 find the median. (Ans: 8.17) Ans: Mode = 3 median - 2 mean 7.88 = 3 median - 2 x 8.32 7.88 +16.64 = 3 median
9:59 p.m. to 10:45 p.m
Example Find the Highest Common Factor of 54, 72 and 150. First we consider 54 and 72. The HCF for these two quantities is calculated as follows:
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