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1. A machine fills containers at a rate of 135 containers per minute.how long would it take to fill 1000 containers at the same rate?
2. Nozi cycles for 2 hours and 20 minutes at a constant speed of 18km/h.how far does she go?
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.
1. You want to make up a 400ml mixture made up of 25% of solution A and 75% of solution B.how many ml of A do you need?
2. Twenty percent (20%) of your population have brown eyes.if you have 3 450 people in your population, how many of them have brown eyes?
The area of a rectangle is 48 square centimeters. The length of the rectangle is 8 centimeters longer than the width.

Which equation models this situation?


8w = 48


w + 8w = 48


w(w+8)=48

w + 8 = 48
Yolanda is planning to put a pool in her backyard. The scaled model below gives the reduced measures for diameter and depth.

The diameter of a pool is 18 centimeters and the depth is 4 centimeters.
Not drawn to scale

The yard space is large enough to have a pool that has a diameter of 27 feet. If Yolanda wants to keep the pool in proportion to the model, what will be the depth of the pool?
4.5 feet
5 feet
6 feet
6.75 feet

(a) (i) Show that (x, y, z) = (t + 2, −2t − 1, t) is a general solution of the system

2x + 4y + 6z = 0

4x + 5y + 6z = 3

7x + 8y + 9z = 6.


(ii) Solve the following system

x1 − x2 + 4x5 = 2

x3 − x5 = 2

x4 − x5 = 3.


(b) Solve the following system by Gauss-Jordan elimination:

2x + 8y + 4z = 2

2x + 5y + z = 5

4x + 10y − z = 1.


(c) Solve the system in 1(b) by using Cramer’s rule. First, discuss the applicability of Cramer’s rule to the system.


If Mary's iphone charger is 6 1/2 feet long and her bed is 9 feet from the outlet in the wall, how much longer would her charger need to be for her to be able to charge her phone in bed?



The graph represents revenue in dollars as a function of greeting cards sold.

A coordinate plane showing Greeting Card Revenue, Number of Cards Sold on the x-axis and Revenue in dollars on the y-axis. A line starts at (0. 0) and passes through (2, 8), (4, 16), and ends at (5, 20).

Which equation represents the function shown on the graph?

y = x
y = x
y = 2x
y = 4x

Find the total number of seats of an amphitheater if it has 70 rows with 40 seats, 44 seats and 48 seats on the first, second and third rows respectively.


Write a gradient of a straight line the pass through the points (2,3) and (-1,2)
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