$\text{Hello there!}\\\\\text{In this question, we're trying to solve the equation}\\\text{We would use the distributive property and solve after that}\\\\\text{Lets solve:}\\\\-16 + 5n= -7(-6 + 8n) + 3\\\\\text{Distribute the -7 to the numbers inside the parenthesis}\\\\-16 + 5n= 42 -56n + 3\\\\\text{Add 56n to both sides}\\\\-16 + 61n= 42 + 3\\\\\text{Add 16 to both sides}\\\\61n= 42 + 3 + 16\\\\61n= 42 + 3 + 16\\\\61n= 45 + 16\\\\61n = 61\\\\\text{Divide both sides by 61}$

$n = 1$

<h3>I hope this helps!</h3><h3>Best regards,</h3><h3>MasterInvestor</h3>

7 0

4 years ago

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Micah rows his boat on a river 4.48 miles downstream, with the current, in 0.32 hours. He rows back upstream the same distance,

Molodets [167]

Let the speed of the current be y and the speed of Micah's sailing speed be x. Then 4.48/(x + y) = 0.32
4.48/(x - y) = 0.56

0.32x + 0.32y = 4.48 . . . (1)
0.56x - 0.56y = 4.48 . . . (2)
(1) x 7 => 2.24x + 2.24y = 31.36 . . . (3)
(2) x 4 => 2.24x - 2.24y = 17.92 . . . (4)
(3) - (4) => 4.48y = 13.44
y = 3
From (1), 0.32x + 0.32(3) = 4.48
0.32x = 4.48 - 0.96 = 3.52
x = 3.52/0.32 = 11

Therefore, the speed of the current is 3 miles per hour.

3 0

3 years ago

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