A number decreased by 9 equals 4 times the number. Find the number.
A number decreased by 9 equals 4 times the number. Find the number. => 4 or 3 or -4 or -3..
Concept of Indices with Solved Examples
Indices - We know that 64 = 2 x 2 x 2 x 2 x 2 x 2 = 2 6 We know that 64 = 2 x 2 x 2 x 2 x 2 x 2 = 2 6 Here 2 is called the base and 6 is called the power (or index or exponent). We say that "64 is equal to base 2 raised to the power 6". Similarly, if m is a positive integer and then a a a..
Indices - We know that 64 = 2 x 2 x 2 x 2 x 2 x 2 = 2 6 We know that 64 = 2 x 2 x 2 x 2 x 2 x 2 = 2 6 Here 2 is called the base and 6 is called the power (or index or exponent). We say that "64 is equal to base 2 raised to the power 6". Similarly, if m is a positive integer and then a a a..Sequences and Series Summary
1 , A 2 ,.....,A n are called the n arithmetic means between a and b. (vii) The sum of n A.M.s between given numbers a and b is equal to n times the A.M. between a and b. (viii) If a, b, c are in A.P., then for any k: (a) a+k, b+k, c+k are in A.P...
1 , A 2 ,.....,A n are called the n arithmetic means between a and b. (vii) The sum of n A.M.s between given numbers a and b is equal to n times the A.M. between a and b. (viii) If a, b, c are in A.P., then for any k: (a) a+k, b+k, c+k are in A.P...Proportion
Proportion - Four quantities a, b, c and d are said to be in proportion, if a:b=c:d. a and d are called extremes of the proportion. b and c are called means of the proportion. a:b=c:d Product of extremes is equal to the product of means in a proportion. In a proportion a:b=c:d, ..
Proportion - Four quantities a, b, c and d are said to be in proportion, if a:b=c:d. a and d are called extremes of the proportion. b and c are called means of the proportion. a:b=c:d Product of extremes is equal to the product of means in a proportion. In a proportion a:b=c:d, ..Suggested answer:
Let the fourth proportional to be x. 6:10=12:x 6x=120 (Product of extremes is equal to product of means) x=20 4) Find the mean proportional to 6 and ..
Let the fourth proportional to be x. 6:10=12:x 6x=120 (Product of extremes is equal to product of means) x=20 4) Find the mean proportional to 6 and ..Triplicate Ratio
The ratio a 3 : b 3 obtained by compounding the ratio a : b with itself three times, = is called the triplicate ratio. For example, the triplicate ratio of 4 : 9 is 4 3 : 9 3 or 64 : 7..
The ratio a 3 : b 3 obtained by compounding the ratio a : b with itself three times, = is called the triplicate ratio. For example, the triplicate ratio of 4 : 9 is 4 3 : 9 3 or 64 : 7..Suggested answer:
Hence a:c = 24:35 {a:b = 4:5} x 6 {b:c = 6:7} x 5 a:b = 24:30 b:c = 30:35 (To make b equal in both ratio) Hence a:b:c = 24:30:..
Hence a:c = 24:35 {a:b = 4:5} x 6 {b:c = 6:7} x 5 a:b = 24:30 b:c = 30:35 (To make b equal in both ratio) Hence a:b:c = 24:30:..Suggested answer:
Step 1: Factor pairs of the last term are (9,-2); (-6,3); (-18,1);(-9,2);(6,-3); (18,-1). Step 2: The pair of factors whose sum is equal to the co-efficient of the middle term is (-6,3). Step 3: Rewrite the expression using these factors as Step 4: Group t..
Step 1: Factor pairs of the last term are (9,-2); (-6,3); (-18,1);(-9,2);(6,-3); (18,-1). Step 2: The pair of factors whose sum is equal to the co-efficient of the middle term is (-6,3). Step 3: Rewrite the expression using these factors as Step 4: Group t..Summary
:d, the compounded ratio is ac:bd. Reciprocal ratio: The reciprocal ratio of a:b is which is b:a. Duplicate ratio: It is the compounded ratio of two equal ratios. The duplicate ratio of a:b is a 2 :b 2 . Triplicate ratio: It is the compounded ratio of three equal ratio. The trip..
:d, the compounded ratio is ac:bd. Reciprocal ratio: The reciprocal ratio of a:b is which is b:a. Duplicate ratio: It is the compounded ratio of two equal ratios. The duplicate ratio of a:b is a 2 :b 2 . Triplicate ratio: It is the compounded ratio of three equal ratio. The trip..Approximation
We know that the digits of a number, one by one in order from left to right decrease in value rapidly. Let us illustrate it by examples. Mass of a gold ornament is 23.473 g. Round off to (i) two decimal places, (ii) one decimal place. 23.473 g = (2 x 10) + (3 x 1) + The successi..
We know that the digits of a number, one by one in order from left to right decrease in value rapidly. Let us illustrate it by examples. Mass of a gold ornament is 23.473 g. Round off to (i) two decimal places, (ii) one decimal place. 23.473 g = (2 x 10) + (3 x 1) + The successi.. Result
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