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kirill115 [55]
3 years ago
12

On Tuesday and Wednesday of last week I left home for school at the same time. On Tuesday I drove 40 mph (miles per hour) on my

way to school and arrived 3 minutes late. On Wednesday I drove 50 mph on my way to school and arrived 2 minutes early. How far do I live from work?
Mathematics
1 answer:
meriva3 years ago
5 0

Answer:

16.67 miles

Step-by-step explanation:

We have to:

t = time (in hours) required to arrive on time.

Now the time that is late or earlier, they give it in minutes, therefore it must be spent in hours:

In other words, 3 minutes late is 3/60 hours late, therefore:

t1 = t + 3/60

2 minutes before is 2/60 hours before, therefore:

t2 = t - 2/60

The distance is the same in both directions, so v1 * t1 = v2 * t2

We know that v1 = 40 and v2 = 50 by replacing:

40 * (t + 3/60) = 50 * (t - 2/60)

40 * t + 2 = 50 * t - 5/3

40 * t - 50 * t = -5/3 - 2

-10 * t = -3.66

t = 3.6 / 10

t = 0.366 hours = 0.366 * 60 = 22 minutes

That is, in the first case it takes 25 (22 + 3) minutes, therefore:

40 * 25/60 = 16.66 miles

In the second case it takes 20 (22 -2) minutes, therefore:

50 * 20/60 = 16.66 miles

Therefore lives 16.67 miles from work

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3 years ago
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mr Goodwill [35]
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6 0
3 years ago
Read 2 more answers
Three girls cut out decimal models of hundredths. Amber doesn't shade any of her models. Grace qualifies three fifths of a model
Varvara68 [4.7K]

Answer:

Amber = 0

Grace = 0.60

Marsha =1.70

Step-by-step explanation:

Given

<em>Decimal Grid = Hundredths</em>

Amber = None

Grace = \frac{3}{5}th

Marsha = 1 + \frac{7}{10}th

To solve for each:

We have:

For Amber:

Amber = 0 * 100

Amber = 0

For Grace:

Grace = \frac{3}{5}th

Grace = \frac{3}{5} * 100

Grace = \frac{300}{5}

Grace = 60

This means that Grace shaded 60 of the hundredth models.

Decimal shaded is:

Grace = 60 * \frac{1}{100}

Grace =\frac{60}{100}

Grace = 0.60

For Marsha:

Marsha = 1 + \frac{7}{10}th

Marsha = \frac{10 + 7}{10}th

Marsha = \frac{17}{10}th

Marsha = 1.7th

Multiply this by 100, to get the number of shaded

Marsha = 1.7 * 100

Marsha = 170

This means that Marsha shaded 170 of the hundredth models.

Decimal shaded is:

Marsha = \frac{170}{100}

Marsha =1.70

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3 years ago
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ArbitrLikvidat [17]

Answer:

9

Step-by-step explanation:

Special right triangle

this is a 45, 45, 90 triangle

Meaning that whatever the hypotenuse is

that it will be the same for x

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3 years ago
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Setler79 [48]

Answer:

tge area of triangle is 36 in2 so she can only create 4 triangle

Step-by-step explanation:

area of square grid = 12 × 12

=144

area of triangle = 1/2 × 6 × 6

;;; = 18 ×2

=36

area if square grid/ area of triangle

=144/ 36

=4

6 0
3 years ago
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