A swimming pool has dimensions of 10 feet by 14 feet by 5 feet. The calculations of five students are shown below. Adina: 70(5)
= 350 ft3 Isaac: 14(5)(10) = 700 ft3 Mateo: 10(14) = 140 ft3 Shira: 14(5)(5) = 350 ft3 Zamir: 10(14)(5) = 700 ft3 Which students correctly calculated the volume? Check all that apply. Adina Isaac Mateo Shira Zamir
2 answers:
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Hence, the numbers are 16 and 4
<u>Further Explanation:</u>
First of all we have to make the equations from the word problem.
Let x be the first number and y be the second number.
Then,
The sum of two numbers is 20 => x + y = 20 => Eqn 1
The difference between three times the first number and twice the second is 40 => 3x-2y = 40 => Eqn 2
The numbers can be verified:
As the equation is verified by the values of x and y.
Hence, the numbers are 16 and 4
<u>Keywords:</u> Linear equations, Substitution method to solve equations
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