middle school math word problems online help

Question 1 - Question: Answer: As n represents all positive integers, we have Multiplying the above terms of both sides respectively, we get Multiplying both sides of inequality by n!, we g..

Identify the letter placed in the middle of the word SNAKE . => N or A or K or E..

Question 21 - Question: There are 25 trees at equal distances of 5 metres in a line with a well, the distance of the well from the nearest tree being 10 metres. A gardener waters all trees separately starting from the well and he returns to the well after watering each tree to get water for the nex..

Question 21 - Question: In a class of 80 boys, there are 60 boys who play chess and 35 play table tennis. Use Venn diagrams to show how many boys play both the games? How many play chess only and how many play tennis only? Answer: Let n(C) = number of boys of who play chess n(T) = number of boys wh..

Question: How many three letter words (with or without meaning) can be formed out of the letters of the word LOGARITHMS if repetition of letters is not allowed? Answer: Number of letters in the word LOGARITHMS is 10. The three letter words formed ..

Question: Find the number of arrangements that can be made out of the letters of the words: i) INDEPENDENCE ii) SUPERSTITIOUS iii) INSTITUTIONS. Answer: i) In the word INDEPENDENCE, I=1, D's=2, E's=4, N's=3, C=1, P=1. \ Total number of letters = 12 ii) The w..

Question: How many words of different 4 letters can be formed out of 7 capital letters, 3 vowels and 8 consonants, if each word starts with a capital letter and contains at least one vowel? Answer: Any capital letter can be chosen as the first letter of each wor..

A square matrix A=[a i j ] n x n is called an identity or unit matrix if (2) a i j =1 for all i = j In other words a square matrix each of whose diagonal elements is unity and each of whose non-diagonal elements is equal to zero is called an identity or unit matrix. The identity ..

[A i j ] where A i j is the co-factor of the element a i j . Adjoint of A is denoted by Adj A. Note that the concept of adj is only for square matrix. A square matrix A is said to be non-singular if |A| 0. Let A be a square matrix of order n. If there exists a square matrix B of order n, such that ..

Introduction - The word 'Induction' means method of reasoning from individual cases to general ones or from observed instances to unobserved ones. Many important mathematical formulae are such that a result is formed by some means which does not provide for a direct proof. ..