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Lilianna uses 3/4 calories per minute just by sitting. She uses 1 more calorie per minute by walking. Liliana uses a total of 12 1/4 calories walking to the park. Lilianna uses the equation, d(3/4+1)=12 1/4 to represent the situation. What does the variable d represent in the equation?

User DParry
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2 Answers

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Final answer:

The variable d in the equation represents the number of minutes Lilianna walked to the park. By substituting the given values into the equation, we can solve for d. After solving the equation step-by-step, we find that d represents 7 minutes.

Step-by-step explanation:

The variable d in the equation represents the number of minutes Lilianna walked to the park. The equation d(3/4 + 1) = 12 1/4 is used to calculate the total number of calories she burned while walking. By substituting the given values into the equation, we can solve for d. Let's solve it step-by-step:

  1. Multiply d with the sum of 3/4 and 1 to get the total calories burned: 3/4 + 1 = 7/4.
  2. Now, the equation becomes d * (7/4) = 12 1/4.
  3. Let's convert 12 1/4 to an improper fraction: 12 1/4 = 49/4.
  4. To isolate d, divide both sides of the equation by 7/4: d = 49/4 ÷ 7/4.
  5. Dividing fractions is the same as multiplying by the reciprocal, so d = 49/4 * 4/7.
  6. Simplify the multiplication: d = 49/7 = 7.

Therefore, the variable d represents 7 minutes, which is the amount of time Lilianna walked to the park.

User Daler
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Answer:

Variable d represents the time per minute Lilianna spends in the park.

Step-by-step explanation:

Lilianna uses
(3)/(4) calories per minute just by sitting. She uses 1 more calorie per minute by walking.

Liliana uses a total of
12(1)/(4) calories walking to the park.

Lilianna uses the equation,
d((3)/(4)+1)=12(1)/(4) to represent the situation.

Here, variable d represents the time per minute she spends in the park.

and is given as,


d((3)/(4)+1)=12(1)/(4)

It can be written as,


d((3)/(4)+1)=(49)/(4)

Solving for d,


d((3)/(4)+1)=(49)/(4)


\Rightarrow d((3+4)/(4))=(49)/(4)


\Rightarrow d((7)/(4))=(49)/(4)


\Rightarrow d=(49 * 4)/(4 * 7)


\Rightarrow d=7

Thus, she spend d= 7 minutes total to the park.


User AnouarZ
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