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3 years ago

Fay travels 56 kilometers in 8 hours.How many kilometers will she travel in a day?

Mathematics

2 answers:

prohojiy [21]3 years ago

6 0

She would travel 7 kilometers in one day because 56/8=7

Nookie1986 [14]3 years ago

4 0

There are 24 hours in a day. 8 hours x 3 = 24 hours.

56 kilometres x 3 = 168 kilometres

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If Fay continues to travel at this current speed without stopping, she will end up travelling a distance of 168 kilometres in a day.

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Which of the following equations has a slope of -2 and passes through the point (2,3)?

ryzh [129]

Option C (Same as Option D)

<h2>Explanation:</h2>

Option C and D are the same, so I'll assume you made a mistake when writing this question. However, let's figure out which of the following equations has a slope of -2 and passes through the point (2,3):

A. y = -2x + 6

B. y - 3 = -2(x + 2)

C. y = -2x + 7

<em />

<em>All these equations have a slope of -2.</em>

FROM OPTION A:

$Recall \ our \ point \ is \ (2,3), \ so: \\ \\ x=2 \\ \\ y=3 \\ \\ Substituting \ into \ the \ equation: \\ \\ 3=-2(2)+6 \\ \\ 3=-4+6 \\ \\ 3=2 \ False!$

Since $3\neq 2$ then the line doesn't pass through the point (2, 3)

FROM OPTION B:

$Recall \ our \ point \ is \ (2,3), \ so: \\ \\ x=2 \\ \\ y=3 \\ \\ Substituting \ into \ the \ equation: \\ \\ 3-3=-2((2)+2) \\ \\ 0=-2(4) \\ \\ 0=-8 \ False!$

Since $0\neq -8$ then the line doesn't pass through the point (2, 3)

FROM OPTION C:

$Recall \ our \ point \ is \ (2,3), \ so: \\ \\ x=2 \\ \\ y=3 \\ \\ Substituting \ into \ the \ equation: \\ \\ 3=-2(2)+7 \\ \\ 3=-4+7 \\ \\ 3=3 \ True!$