Rational Number Test - Question 10

10. A 1-L can of paint covers 12m(squared). Determine the maximum dimensions of a sqaure ceiling you could paint with 3 1/2 L of paint. Express your answer to the nearest hundredth of a metre.

          x3.5
L    1   =  3.5 
C   12      42
          x3.5

L= litres              C= cans of paint

square root of 42= 6.48

The maximum dimensions of a sqaure ceiling you could paint is 6.48m by 6.48m.

Textbook - Chapter 2.4 Page 79 Question 18

A frame measures 30 cm by 20 cm. Can you mount a sqaure picture with an area of 500 cm² in the frame? Explain.
 

√500 = 22.36 cm

Picture = 22.36 cm

Frame = 30 cm x 20cm

No you cannot mount a square picture on the frame because one side of the picture is too big for the frame so it won't fit.

Textbook - Page 68: Question 12

12. In the table, a positive number shows how many hours the time in a location is ahead of the time in London, England. A negative number shows how many hoursthe time is behind the time in London.

A) How many hours is the time in St. John's ahead of the time in Brandon

St. John's: -3 1/2
Brandon: -6

-3.5 - (-6) = 2.5 hours

B) How many hours is the time in Victoria behind the time in Mumbai?

Victoria: -8
Mumbai: +5 1/2

+5.5 - (-8) = 13.5 hours

C) Determine and interpret the time difference between Tokyo and and Kathmandu.

Tokyo: +9
Kathmandu: +5 3/4

+9 - (+5.75) = 3.25
Tokyo is  3.25 hours ahead of Kathmandu.

D) Determine and interpret the time difference between Chatham Islands and St. John's.

Chatham Islands: +12 3/4
St. John's: -3 1/2

+12.75 - (-3.5) = 16.25
Chatham Islands is 16.25 hours ahead of St. John's.

E) In which location is the time exactly halfway between the times in Istanbul and Alice Springs?

Istanbul: +2
Alice Springs: +9 1/2

9.5 + 2 = 11.5
11.5 / 2 = 5.75

Kathmandu: +5 3/4

Kathmandu is location with the time that is exactly halfway between istanbul and Alice Springs.