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anyanavicka [17]
3 years ago
8

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,

against the current, in 0.56 hours. Assuming his rowing speed and the speed of the current are constant, what is the speed of the current?
3 miles per hour
8 miles per hour
11 miles per hour
14 miles per hour
Mathematics
2 answers:
denpristay [2]3 years ago
5 0
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. Answer is 3 miles per hour
Akimi4 [234]3 years ago
5 0

Answer:

its 3 miles per hour which is A

Step-by-step explanation:

i got it right on the test

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Quadratic equations are second-order equations. Ginney made a mistake when she identified b = 31. It should be b = –31.

<h3>What is a Quadratic Equation?</h3>

A quadratic equation is an equation that can be written in the form of

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Where a is the leading coefficient, and

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In order to find the mistake that Ginny made, we will first find the factors ourselves, therefore, we will factorize the trinomial,

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If we compare our process with Ginny's process, we will find that she has taken the value of the constant b as 31 which is wrong.

Hence, Ginney made a mistake when she identified b = 31. It should be b = –31.

Learn more about Quadratic Equation:

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