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natima [27]
3 years ago
9

A 28,000-gallon swimming pool is being drained using a pump that empties 700 gallons per hour. Which equation models this situat

ion if g is the number of gallons remaining in the pool and t is the amount of time in hours the pool has been draining?
Mathematics
2 answers:
MatroZZZ [7]3 years ago
8 0

the answer is D

g = 28,000 – 700t

Reika [66]3 years ago
5 0
You can start by making a table that will permit you visualize the model. Start with 28,000 and subtract 700 hundreed step by step, in this way: 1) 28,000 - 700; 2) 28,000 - 2(700); 3) 28,000 - 3(700) ... then you can observe that after t hours the remaining number of gallos in the pool is 28,000 - 700t. So, the equation that models this situation is g(t) = 28,000 - 700t.
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Complete question :

Wang Yong owes the bank $8500. To repay the debt, he paid a fixed amount back to the bank each month. After 12 months, his remaining debt was $6460. How much did Wang Yong pay each month?

Answer:

$170

Step-by-step explanation:

Given that:

Amount owed = $8500

Fixed amount replayed per month :

Amount left after 12 months = $6460

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Total amount paid over 12 months :

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Amount paid per month :

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The equation that represents the array (rectangles and area) multiplication model that sows two grey shaded columns of length one ninth each and three rows with dots of width one fourth each is option <em>a</em>

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\dfrac{2}{9} \times \dfrac{3}{4} = \dfrac{6}{36}

<h3>What is an array (area) multiplication model?</h3>

An array representation of a multiplication is a rectangular visual order of positioning of rows and columns that indicates the terms of a multiplication equation.

Please find attached the area model to multiply the fractions

The terms of the equation represented by the model are indicated by the two columns of length one ninth each shaded grey and the three rows of width one fourth each covered with dots, such that the equation can be presented as follows;

\left(\dfrac{1}{9} +\dfrac{1}{9}\right) \times \left(\dfrac{1}{4} +\dfrac{1}{4} + \dfrac{1}{4} \right) = \dfrac{2}{9} \times \dfrac{3}{4} =\dfrac{6}{36}

The equation that the model represents is therefore;

  • The equation with fractions two ninths times three fourths is equal to six thirty sixths

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Step-by-step explanation:

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3 years ago
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Step-by-step explanation:

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