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sergejj [24]
3 years ago
6

A train travels at a constant speed of 35 feet per second. How many minutes will it take the train to travel exactly 70 miles? (

Note: 1 mile = 5,280 feet.)
Mathematics
2 answers:
andrew11 [14]3 years ago
6 0

Since one mile equals 5280 feet, the train has to travel

70 \cdot 5280 = 369600 feet.

Every second the train travels 35 feet, so it takes the train

\dfrac{369600}{35} =10560

seconds to cover that distance. Since there are 60 seconds in a minute, to convert seconds in minutes you have to divide by 60:

\dfrac{10560}{60} = 176

So, it takes 176 minutes to the train to cover that distance.

olga_2 [115]3 years ago
3 0

176 minutes,

70x5,280= 369,600 divide by 35= 10,560 divide by 60=176

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MariettaO [177]

\qquad\qquad\huge\underline{{\sf Answer}}

Let's find out the gradient (Slope " m ") of line q ;

\qquad \sf  \dashrightarrow \:m = \dfrac{y_2 - y_1}{x_2 - x_1}

\qquad \sf  \dashrightarrow \:m = \dfrac{4 - 0}{0 - 1}

\qquad \sf  \dashrightarrow  \:m =  - 4

Now, since we already know the gradient let's find of the equation of line by using its Slope and one of the points using point slope form of line :

\qquad \sf  \dashrightarrow \:y - 4 = m(x - 0)

\qquad \sf  \dashrightarrow \:y = mx + 4

Now, plug in the value of gradient ~

\qquad \sf  \dashrightarrow \:y =  - 4x + 4

here we can clearly observe that, the Area under the curve can easily be represented as :

\qquad \sf  \dashrightarrow \:y <  - 4x + 4

Since, all the values of y that lies in the shaded region is smaller than the actual value of y for the corresponding values of x in the equation of line q

5 0
2 years ago
The data table represents the distance between a well-known lighthouse and a cruise ship over time. The cruise ship is travellin
Trava [24]
Find the velocity first, the "slope".

m=(y2-y1)/(x2-x1)

m=(95.5-53)/(4-2)

m=21.25  ?  Your equations are wrong, I'll double check with another set of points...

m=(350.5-308)/(16-14)

m=21.25  LOL, yep none of your lines has the correct slope.

Anyway...

y=21.25x+b, using any point we can solve for the y-intercept, or "b", (2, 53)

53=21.25(2)+b

53=42.5+b

10.5=b so the distance to the lighthouse as a function of time is:

y=21.25x+10.5

So essentially, you should fire your teacher or burn that book you are using :)

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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