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3 years ago

Question 3

Mathematics

2 answers:

SashulF [63]3 years ago

5 0

Answer:

30 mph was the rate she was going

BigorU [14]3 years ago

3 0

Answer:

30 mph

Step-by-step explanation:

time = distance/speed

If x represents Jane's speed along the summit then her total exploration time is ...

12/x + 40/(x -5) = 2 . . . . . hours

Multiplying by (x)(x -5), we get ...

12(x -5) +40(x) = 2(x)(x -5)

Dividing by 2 and subtracting the left side gives ...

x^2 -31x +30 = 0

(x -30)(x -1) = 0 . . . . . factor

Solutions are x = 30 and x = 1, values of x that make the factors zero. A speed of 1 mph makes no sense in this problem, so ...

Jane's speed along the summit was 30 mph.

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The equation of the line that contains the points (-8, 1) and (0, -5) is

posledela

Answer:

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Step-by-step explanation:

Find the slope by using the slope formula. (It's hard to format here so look it up)

Basically, it is y2 - y1/x2 - x1

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The slope is -3/4.

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Read 2 more answers

The length of a table is 8 times longer then it’s width. If the perimeter is 72, how wide is the table?

Andrews [41]

Answer:

4 units wide

Step-by-step explanation:

Let the width of the table be 'w'

Given:

Perimeter of the table is, $P=72$

The perimeter of the rectangular table is given as the sum of all the sides of the rectangle. The sides include two lengths and two widths.

Length of the table is 8 times longer than its width. Therefore,

$Length,L=8w$

Now, perimeter is given as:

$P=2L +2w\\P=2(8w)+2w\\P=16w+2w\\P=18w\\w=\frac{P}{18}$

Now, plug in 72 for 'P' and solve for 'w'. This gives,

$w=\frac{P}{18}\\\\w=\frac{72}{18}\\\\w=4$

So, the table is 4 units wide.

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3 years ago