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The table below represents the different GMT time zones for each city. The time 16:00 in Toronto. What will the time be in Paris?

Mathematics

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3 parts
2.3

00:00 (midnight)00:00 \text{ (midnight)}

2.4

75.2∘F75.2^\circ \text{F}

2.5

115 cm115 \text{ cm}

Step-by-step solution

7 steps

Here are the solutions for the next set of questions.

Part 2.3· 2 steps

Time in Paris

The table shows the GMT time zones:

  • Toronto (Canada): GMT -6
  • Paris (France): GMT +2
  1. Calculate the time difference between Toronto and Paris.

    Paris is ahead of Toronto. The difference is the absolute difference between their GMT offsets.

    Time difference=(+2)−(−6)=2+6=8 hours\text{Time difference} = (+2) - (-6) = 2 + 6 = 8 \text{ hours}

    Paris is 8 hours ahead of Toronto.

  2. Calculate the time in Paris.

    Given the time in Toronto is 16:0016:00.

    Time in Paris=Time in Toronto+Time difference\text{Time in Paris} = \text{Time in Toronto} + \text{Time difference} Time in Paris=16:00+8 hours\text{Time in Paris} = 16:00 + 8 \text{ hours} Time in Paris=24:00 or 00:00 the next day\text{Time in Paris} = 24:00 \text{ or } 00:00 \text{ the next day}

    The time in Paris will be 00:00 (midnight)\boxed{00:00 \text{ (midnight)}}.

Part 2.4

75.2∘F75.2^\circ \text{F}

Temperature Conversion

The temperature in Paris is 24∘C24^\circ \text{C}. The formula to convert Celsius to Fahrenheit is ∘F=(∘C×1.8)+32∘^\circ \text{F} = (^\circ \text{C} \times 1.8) + 32^\circ.

  1. Substitute the given Celsius temperature into the formula.

    ∘F=(24×1.8)+32^\circ \text{F} = (24 \times 1.8) + 32
  2. Perform the multiplication.

    ∘F=43.2+32^\circ \text{F} = 43.2 + 32
  3. Perform the addition.

    ∘F=75.2^\circ \text{F} = 75.2

    The temperature converted to Fahrenheit is 75.2∘F\boxed{75.2^\circ \text{F}}.

Part 2.5

115 cm115 \text{ cm}

Height of the pile of crates

Zodwa stacks four crates to make a pile with a height of 92 cm92 \text{ cm}. She then adds an extra crate.

  1. Calculate the height of one crate.

    Since the crates are of equal size and 4 crates stack to 92 cm92 \text{ cm}:

    Height of one crate=Total height of 4 cratesNumber of crates\text{Height of one crate} = \frac{\text{Total height of 4 crates}}{\text{Number of crates}} Height of one crate=92 cm4\text{Height of one crate} = \frac{92 \text{ cm}}{4} Height of one crate=23 cm\text{Height of one crate} = 23 \text{ cm}
  2. Calculate the total height of the pile with all the crates.

    She puts an extra crate on top, so there are now 4+1=54 + 1 = 5 crates.

    Total height of 5 crates=Height of one crate×5\text{Total height of 5 crates} = \text{Height of one crate} \times 5 Total height of 5 crates=23 cm×5\text{Total height of 5 crates} = 23 \text{ cm} \times 5 Total height of 5 crates=115 cm\text{Total height of 5 crates} = 115 \text{ cm}

    The height of the pile of all the crates is 115 cm\boxed{115 \text{ cm}}.

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