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Luda [366]
3 years ago
9

Juan was given a gift card for a coffee shop. Each morning, Juan uses the card to buy one cup of coffee. Each cup of coffee cost

s $2 and the original amount of money on the gift card was $30. Write an equation for A, in terms of x, representing the amount money remaining on the card after buying of coffee.
Mathematics
1 answer:
Black_prince [1.1K]3 years ago
7 0

Answer:

A=30-2x

Step-by-step explanation:

Cost of one cup of coffee=$2

The original amount of money on the gift card= $30

Juan's expenses in buying coffee, after x morning are \$2\times x.

The amount of money left, A, on the card = (Original amount) - (Total expenses)

A=30-2x

Hence, the equation for, A, the amount of money remaining on the card is

A=30-2x.

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Step-by-step explanation:

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  t = √(s/16) = (1/4)√s

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Then the sum of the time for the ball to fall and the time for the sound to travel back is ...

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  275√s = 22000 -s . . . . . multiply by 1100 and subtract s

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  s^2 -119,625s +484,000,000 = 0 . . . . put in standard form

  s ≈ (1/2)(119,625 ±√12,374,140,625) = {4192.943, 115432.057}

Only the smaller of these two solutions makes any sense in this problem.

The hole is about 4192.9 feet deep.

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<em>Additional comment</em>

The distance equation for the falling object presumes a vacuum. The sound transmission presumes the presence of air, so the question setup is self-contradictory.

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