algebra

Mike, Loui and Joy can mow the lawn in \(4\), \(6\) and \(7\) hours respectively. What fraction of the yard can they mow in \(1\) hour if they work together?

Crew No. \(1\) can finish installation of an antenna tower in \(200\) man-hour while Crew No. \(2\) can finish the same job in \(300\) man-hour. How long will it take both crews to finish the same job, working together?

If a two digit number has \(x\) for its unit's digit and \(y\) for its ten's digit, represent the number.

One number is \(5\) less than the other. If their sum is \(135\), what are the numbers?

Ten less than four times a certain number is \(14\). Determine the number.

The sum of two numbers is \(21\) and one number is twice the other. Find the numbers.

If eight is added to the product of nine and the numerical number, the sum is seventy-one. Find the unknown number.

If x varies directly as y and inversely as z, and \(x=14\) when \(y=7\) and \(z=2\), find the value of x when \(y=16\) and \(z=4\).

The arithmetic mean of a and b is

Gravity causes a body to fall 16.1 ft in the first second, 48.3 in the \(2^{nd}\) second, 80.5 in the \(3^{rd}\) second. How far did the body fall during the \(10^{th}\) second?

If the first term of an arithmetic progression is 25 and the fourth term is 13, what is the third term?

Find the \(30^{th}\) term of the arithmetic progression 4, 7, 10,...

What is the sum of the progression 4, 9, 14, 19... up to the \(20^{th}\) term?

Determine the sum of the progression if there are 7 arithmetic mean between 3 and 35.

If the sum is 220 and the first term is 10, find the common difference if the last term is 30.

When all odd numbers from 1 to 101 are added, the result is

The sum of the first 10 terms of a geometric progression 2, 4, 8,... is

If the first term of a G.P. is 9 and the common ratio is \(-2/3\) find the fifth term.

Determine the sum of the infinite series: \(S=\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+...+(\frac{1}{3})^n\)

What is the fraction in lowest term equivalent to 0.133133133?