Algebra Answers

find the angle of elevation of the sun when a 6m high pole makes shadow of lenght 203m on the horizontal plane.

The average of six numbers is 8. What seventh number must be added to increase the average to ten?

Solve for x:√(2x+9)(x+3)-√x²-x-12=3√x+3

The difference of the squares of two consecutive even natural numbers is 92. Taking x as the smaller of the two numbers from an equation in x and hence find the larger of the two.

A 800gm dry fruit pack costs Rs176. It contains some cashews and the rest as raisins. If the cashews cost Rs240 per kg and the raisins Rs160 per kg, what were the quantities of the two dry fruits separately.

If (m+1)th term of an AP is twice the (n+1)th term, prove that (3m+1)th term is twice the (m+n+1)th term.

A 12 litre solution is 331/3% acid. How much water should be added to get the solution 20% acid?

A number has two digits, the digit in the units place is twice the digit in the tens place. If the digits be reversed the number is increased by 18. Find the number.

There are some benches in a classroom If 5students sit on each bench three benches are left vacant and if 3 students sit on each bench 5 are left standing. What is the total number of students in the class?

Together, a 20 fluid ounce Coca-Cola and a 20 fluid ounce Pepsi contain 34 teaspons of added sugar. The Coca-Cola contains 1 tsp less of added sugar than the Pepsi. (Source: Nutrition Action HealthLetter, January/February 2010) Find the amount of added sugar in each type of soft drink.