Algebra Answers

Aaron wants to plant an orchard of apple trees. Based upon what he has studied, he can expect that 90% of the trees he plants will survive the first year. Of those that survive the first year, he can expect that 95% will survive permanently. If he is going to plant 300 trees this spring and another 500 the following spring, how many trees should he expect to have in his orchard permanently?

A car has been moving at a constant speed begins to slow down at a constant rate.it travels 25 m in the first second,20 m in the second second,16 m in the third second and so on.Show that the total distance covered,before it stops,does not exceed 125 metres

A cookie recipe for 60 cookies calls for 4 cups of flour. How much flour is needed to make 90 cookies?

Production cost is 293250,computing components cost is1035,labour cost is 4140,and the savings on reusable material is 1725,determine the number of devices produced.

The production cost is R293250,computing components cost is R1035,labour cost is R4140 and the savings on reusable material is R1725,determine the number of devices produced.

Determine the cost of Labour amounts to R1245 with an equipment rent in free of R250 to produce five devices

Discuss the role of expressions and equations in real life contexts

The production cost, represented by y, of smart phone devices are equal to the product of computing components a and the square of the number of devices x, added to the product pf labour b and number of devices x; after which savings on reusable material c are subtracted.

2.1. Write down an equation to represent the production cost y in terms of a, x, b and c

2.2. Change the subject of the equation/formula in 2.1 to:

2.2.1.a=

b=

c=

2.2.2 Determine the production cost of 7 devices, if labour amounts to R4140, computing components cost is R1035 and savings on reusable material is R1725

Solve the equation

(a) 5(2 − x) ≤ 3x + 2 < 8

(b) 1/8 = 2^3x−4,

(c) log_bx + log_b(x − 4) = log_b21

(d) log₄2x = 2

Solve for x when a,b and c are negative constants

1. (ax+b)/c≤b

2. If a>1 then prove that a²>1