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Blababa [14]
3 years ago
9

Mark and Zoe are hiking a trail. Mark starts before Zoe. The expression 2t + 100 represents how far, in meters, Mark has hiked t

seconds after Zoe starts, and 2t represents how far Zoe has hiked t seconds after starting. Is there a time during the hike when Mark and Zoe have hiked the same distance? Explain.
Mathematics
2 answers:
olasank [31]3 years ago
7 0

Answer: No

Step-by-step explanation:

The distance hiked of Mark is represented by 2*t + 100

and the distance hiked of Zoe is represented by 2*t

here, you can see that the slope of both equations is equal, this means that in the same lapse of time, Zoe and Mark displace the same amount, but because Mark started earlier, he has a y-intercept bigger than zero, so for every value of t, the distance that Mark hiked will be higher than the one of Zoe.

We can represent this by:

2*t + 100 > 2*t

100 > 0

So the distance hiked by Mark is always bigger than the one of Zoe

luda_lava [24]3 years ago
7 0

Answer:

Step-by-step explanation:

Given:

Mark distance in t seconds = 2t + 100

Zoe distance in t seconds = 2t

Velocity = distance/time

Therefore from the above equation,

Mark's velocity = 2 m/s

Zoe's velocity = 2 m/s

Distance covered by Mark = distance covered by Zoe

2t + 100 = 2t

If they both move at the same velocity but Mark starts 100 m before zoe. Therefore, there is no the same time that both will hike the same distance.

Mark will always be 100 m ahead of Zoe.

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natali 33 [55]

Answer:

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Step-by-step explanation:

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                                                                                          2x - 8 = -10

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<u>    </u>

6 0
2 years ago
Simplify 6(x + y) + (x - y).<br><br> 6x<br> 7x<br> 7x + 6y<br> 7x + 5y
Law Incorporation [45]
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yepyep
3 0
3 years ago
Neep help pls, what is the answer????
saveliy_v [14]

Answer:

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Step-by-step explanation:

Given:

Length given are 4 in., 5 in., 1 in.

We need to check whether with these lengths we can create triangular components.

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

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Hence we will check for all three side,

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Since 2 condition are valid and 1 condition is not we can say;

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2 years ago
Bob raises Guinea Pigs and Chinchillas on his beachfront oasis. There are a total of 60,005 animals at the oasis. The number of
raketka [301]
Let named variables as you said g- guinea pigs and c- chinchillas
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When this result we replace in the second equation we get

c= 2 * 20,000 +5= 40,000+5 = 40,005

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Good luck!!!!




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AfilCa [17]

44 because it goes into 2 and also goes into 11

4 0
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