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GrogVix [38]
3 years ago
10

Find the slope of the line containing the given pair of points. (2, 4) and (8, 13)

Mathematics
1 answer:
IrinaK [193]3 years ago
4 0

Answer:

m = 3/2

Step-by-step explanation:

Use the slope formula: (y2 - y1) / (x2 - x1)

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41. Suppose a family drives at an average rate of 60 mi/h on the way to visit relatives and then at an average rate of 40 mi/h o
Afina-wow [57]

Answer:

The answer is below

Step-by-step explanation:

a) Let x represent the time taken to drive to see the relatives and let d be the distance travelled to go, hence:

60 mi/h = d/x

d = 60x

When returning, they still travelled a distance d, since the return trip takes 1 h longer than the trip there, therefore:

40 mi/h = d/(x+1)

d = 40(x + 1) = 40x + 40

Equating both equations:

60x = 40x + 40

60x - 40x = 40

20x = 40

x = 40/20

x = 2 h

The time taken to drive there = x = 2 hours

b) The time taken for return trip = x + 1 = 2 + 1 = 3 hours

c) The distance d = 60x = 60(2) = 120 miles

The total distance to and fro = 2d = 2(120) = 240 miles

The total time to and fro = 2 h + 3 h = 5 h

Average speed = total distance / total time = 240 miles / 5 h = 48 mi/h

5 0
2 years ago
A text book cost 65.49$ before tax. the tax on the textbook is 6.5%.what is the total cost of the textbook.
trapecia [35]
6.5% tax on $65.49=0.065×65.49=$4.26 To the nearest cent, so add this to 65.49=$69.75.
6 0
3 years ago
Which choices are equivalent to the expression? √(5) x √(20)
statuscvo [17]

Answer:

10 is the answer

Step-by-step explanation:

You have to multiply with whats inside the roots. you would have \sqrt{5}  times \sqrt{20}  will give you \sqrt{100}  which is 10

8 0
2 years ago
Select the best answer to describe the parabola
Korolek [52]

Positive parabola that has a minimum.

It’s positive if it opens upward, negative if it opens downward. It has a minimum if it opens upward, and maximum when it opens downward.

5 0
3 years ago
What factor is used to convert feet per minute into miles per hour?
Liula [17]

For this case we have that in one hour there are 60 minutes. On the other hand, we have that 1 mile equals 5280 feet.

So, we have:

\frac {ft} {min} = \frac {ft} {min} * 60 \frac {min} {h} * \frac {1} {5280} \frac {mile} {ft}\\\frac {ft} {min} = \frac {60} {5280} \frac {miles} {h}

So, given an amount per foot per minute, we must multiply by \frac {60} {5280}and get miles per hour

ANswer:

\frac {ft} {min} = \frac {60} {5280} \frac {miles} {h}

7 0
2 years ago
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