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Y_Kistochka [10]

3 years ago

5

Insects known as walking sticks move very slowly. They can move 2 inches every 5 seconds. At this rate, how far could a walking

stick go in 30 seconds?
___inches.

2 answers:

tamaranim1 [39]3 years ago

7 0

Since they go 2 inches every 5 seconds, that means for every 10 seconds the walking stick moves 4 inches. Since 10*3=30 4*3=12.

So in 30 minutes the walking stick moves 12 inches.

Arisa [49]3 years ago

6 0

2/5 = x/30......2 in to 5 sec = x in to 30 sec
cross multiply
5x = 60
x = 60/5
x = 12 inches <==

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3 years ago

You and your friend leave your houses at the same time to meet at a restaurant. The distance (in miles) your friend is from the

salantis [7]

Answer:

Thus, the linear equation to represents your distance from the restaurant is given as:

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Step-by-step explanation:

Given:

The distance (in miles) your friend is from the restaurant is given by:

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where $x$ represents the number of hours since your friend left home.

You live 90 miles from the restaurant and arrive at the same time as your friend.

To write a linear equation that represents your distance from the restaurant.

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From the given linear equation for your friend, we can say that the distance between your friend keeps decreasing as he approaches near the restaurant. The distance will be = 0 when your friend reaches the restaurant.

<em>Thus, we can plugin y=0 to find </em> $x$ <em> i.e.the time in hours taken by your frient to reach the restaurant.</em>

$0=-50x+75$

Adding $50x$ both sides.

$0+50x=-50x+50x+75$

$50x=75$

Dividing both sides by 50.

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Your friend takes 1.5 hours to reach the restaurant

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$y=-mx+90$

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Plugging in values to find $m$

$0=-m(1.5)+90$

Subtracting both sides by 90.

$0-90=-m(1.5)+90-90$

$-90=-1.5m$

Dividing both sides by -1.5.

$\frac{-90}{-1.5}=\frac{-1.5m}{-1.5}$

∴ $m=60$

Thus, the linear equation to represents your distance from the restaurant is given as:

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