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Which temperature represents 25 degree Celsius (°C) in degrees Fahrenheit (°F)?

Mathematics

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Answer

C

Step-by-step solution

7 steps

Here are the solutions to the questions:

Part 5· 4 steps

Let tut_u be the time Mario takes to walk up the hill and tdt_d be the time he takes to skateboard down the hill.
Let vuv_u be his speed walking up the hill and vdv_d be his speed skateboarding down the hill.
The distance of the hill, DD, is the same for both directions.
We know that D=vutuD = v_u t_u and D=vdtdD = v_d t_d.
We are given that Mario can skateboard down a hill three times faster than he can walk back up, so vd=3vuv_d = 3v_u.

  1. Set up the relationship between times using speeds.

    Since D=vutuD = v_u t_u and D=vdtdD = v_d t_d, we have vutu=vdtdv_u t_u = v_d t_d.
    Substitute vd=3vuv_d = 3v_u:

    vutu=(3vu)tdv_u t_u = (3v_u) t_d

    Divide both sides by vuv_u:

    tu=3tdt_u = 3t_d
  2. Use the total time given.

    The total time for both activities is 6 minutes:

    tu+td=6t_u + t_d = 6
  3. Substitute the expression for tut_u from Step 1 into the equation from Step 2.

    3td+td=63t_d + t_d = 6 4td=64t_d = 6 td=64=1.5 minutest_d = \frac{6}{4} = 1.5 \text{ minutes}
  4. Calculate the time it takes to walk up the hill (tut_u).

    tu=3td=3×1.5 minutes=4.5 minutest_u = 3t_d = 3 \times 1.5 \text{ minutes} = 4.5 \text{ minutes}

    The correct option is C.

    • C. 4.5

Part 6· 3 steps

To convert temperature from degrees Celsius (∘C^\circ\text{C}) to degrees Fahrenheit (∘F^\circ\text{F}), use the formula:

∘F=(∘C×95)+32^\circ\text{F} = (^\circ\text{C} \times \frac{9}{5}) + 32
  1. Substitute the given Celsius temperature into the formula.

    The given temperature is 25∘C25^\circ\text{C}.

    ∘F=(25×95)+32^\circ\text{F} = (25 \times \frac{9}{5}) + 32
  2. Perform the multiplication.

    ∘F=(5×9)+32^\circ\text{F} = (5 \times 9) + 32 ∘F=45+32^\circ\text{F} = 45 + 32
  3. Perform the addition.

    ∘F=77^\circ\text{F} = 77

    So, 25∘C25^\circ\text{C} is equal to 77∘F77^\circ\text{F}.

    The correct option is A.

    • A. 77
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