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rosijanka [135]
3 years ago
7

Ben and Landon took turns driving on the recent 820 mile road trip Ben averaged 60 mph while Landon average 56 mph if the trip t

ook them 14 hours how many hours did Landon Drive
Mathematics
1 answer:
AysviL [449]3 years ago
4 0

Answer:

9 hours

Step-by-step explanation:

Let :

Landon hours = x

Ben hours = y

x + y = 14 - - (1)

60x + 56y = 820 - - - (2)

From (1)

y = 14 - x

60x + 56(14 - x) = 820

60x + 784 - 56x = 820

4x = 820 - 784

4x = 36

x = 36/4

x = 9

Landon drove for 9 hours

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Explain why if a runner completes a 6.2â-mi race in 32 âmin, then he must have been running at exactly 11 âmi/hr at least twice
MA_775_DIABLO [31]

Answer:

Accelerating to top speed, deaccelerating to finish line.

Step-by-step explanation:

If the runner kept a constant speed of 11 mph for the whole duration of his run (32 minutes), the distance he would have covered is:

d=11*\frac{32}{60}\\d= 5.87\ mi

This means that, in order to run the full 6.2 miles, the runner needs to reach a speed over 11 mph. Assume he starts from rest, while accelerating the runner reaches, and the surpasses, the 11 mph mark. Since his speed at the finish line is zero, the runner has to deaccelerate from his current running speed (which should be higher than 11 mph), passing through 11 mph and reaching zero at the finish line.

3 0
3 years ago
Students sold raffle tickets to raise money for a field trip. The first 20 tickets cost $4 each. To sell more tickets, they lowe
saveliy_v [14]

Answer:

88 Tickets were sold

Step-by-step explanation:

20*$4=$80

$216-$80=$136

$136/2=68

20+68=88 tickets

4 0
3 years ago
Y=x+5 and y=1/2x+4 <br> solved and graphed
solniwko [45]
The interception point or solving for X?
6 0
3 years ago
9. A rectangular shoebox is 14 inches long by 8 inches wide by 6 inches tall.
andreyandreev [35.5K]

Answer:

J 672 cubic inches

Step-by-step explanation:

The volume of a rectangular prism is

V = l*w*h

V = 14 inches * 8 inches * 6 inches

V =672 inches^3

3 0
2 years ago
5x + 2y = 7
k0ka [10]
5x + 2y = 7 . . . (1)
y = x + 1 . . . (2)
Putting (2) into (1) gives
5x + 2(x + 1) = 7 => 5x + 2x + 2 = 7 => 7x = 7 - 2 = 5 => x = 5/7
From (2) y = 5/7 + 1 = 12/7

Therefore, solution is {(5/7, 12/7)}
3 0
3 years ago
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