Algebra Answers

1.express each of these relationships as a rate in it's simplest form.
1.1. 12kg for R5.
1.2. 120 litres for 1000km.
1.3. R355 for two nights.
1.4. 7km in 28 min.
1.5. 145 students for five teachers.

A contracter builds boathouses in two basic models, the Atlantic and the Pacific. Each Atlantic model
requires 1000 ft of framing lumber, 3000 ft3 of concrete and $2000 for advertising. Each Pacific model
requires 2000 ft of framing lumber, 3000 ft3 of concrete and $3000 for advertising. Contracts call for
using at least 8000 ft of framing lumber, 18000 ft3 of concrete, and $15,000 worth of advertising. If the
construction cost fo each Atlantic model is $30,000 and the construction cost for each Pacific model is
$40,000, how many of each model should be built to minimize construction costs? What is the lowest
cost

Certain animals in a rescue shelter must have at least 30 g of protein and at least 20 g of fat per feeding
period. These nutrients come from food A, which costs 18 cents per unit and supplies 2 g of protein
and 4 g of fat; and food B, which costs 12 cents per unit and has 6 g of protein and 2 g of fat. Food B
is bought under a contract requiring that at least 2 units of B be used per serving. How much of each
food must be bought to produces the minimum cost per serving? What is the lowest cost

Hannah wants to buy a $540 camera. She can save $40 each week from her paycheck. However, before
Hannah can buy the camera, she must give her brother $60 that she owes him. For how many weeks will
Hannah need to save before she can pay back her brother and buy the camera?

A university employs a total of 420 teaching assistants and research assistants. There are two times as many teaching assistants as research assistants. Find the number of research assistants employed by the university.
research assistants

aA computer analyst accepts a job at a starting salary of PHP 32186.00 and receives an increase of PHP 2500.00 annually for six years. What would be his salary in the fifth year? How much would he have received for the 5 - year period.

1. Use a proportion to solve each problem.
1.1. the numerator of a certain fraction is 3 times the denominator.if the numerator is decreased by 1 and the denominator is increased by 2,the value of the resulting fraction is 5/2.find the original fraction.
1.2. thenjo can wash 6 chairs in 21 minutes.how many minutes would it take thenjo to wash 10 chairs?

Mrs mashiyu is building a rondavel for herself.she makes concrete for the foundation by mixing gravel,sand and cement in the ratio 5:3:2 by volume.
1. Calculate the amount of sand and cement that Mrs mashiyu needs to make of 20m3m3 concrete.
2. Show that your calculations are correct in three different ways.

1.if four soft drinks cost R84,99.how much would you pay for three?
2. six identical drums of oil weigh 90kg in total.how much would 13,5 drums weigh?
3. A vendor in a shopping mall sells frozen yoghurt in 250g and 100g tubs.it costs R8,75 for 250g and R4,00 for 100g.which is the better buy?