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3 years ago

You walk 2 miles in hour. At that rate, how long will it take you to walk 3 miles? minutes

Mathematics

2 answers:

densk [106]3 years ago

8 0

Answer:

90 minutes

Step-by-step explanation:

The time will be equal to the distance d over the derivative of the function called v

t=3/2 or 1.5

Since there are 60 minutes in an hour, t=90min

seropon [69]3 years ago

5 0

1:30 minutes. hope this helps

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I drove 380 miles using 14 gallons of gas. At this rate, how many gallons of gas would I need to drive 418 miles?

ser-zykov [4K]

Answer:

15.4 gallons .

Step-by-step explanation:

The rate of gas used = 380/14 = 27.14 gallons per gallon.

So for each gallon used you drive 27.14 miles.

So number of gallons used when travelling 418 miles = 418/27.14

= 15.4 gallons .

8 0

3 years ago

Read 2 more answers

Let L be a tangent line to the hyperbola x y = 2 at x = 9 . Find the area of the triangle bounded by L and the coordinate axes.

mafiozo [28]

Answer:

$A = 4$

Step-by-step explanation:

The equation of the slope of the tangent line L is obtained by deriving the equation of the hyperbola:

$y = \frac{2}{x}$

$y'=-2\cdot x^{-2}$

The numerical value of the slope is:

$y' = -2 \cdot (9)^{-2}\\y' = -\frac{2}{81}$

The component of the y-axis is:

$y = \frac{2}{9}$

Now, the tangent line has the following mathematical model:

$y = m \cdot x + b$

The value of the intercept is found by isolating it within the equation and replacing all known variables:

$b = y - m \cdot x$

$b = \frac{2}{9}-(-\frac{2}{81} )\cdot (9)\\b = \frac{4}{9}$

Thus, the tangent line is:

$y = -\frac{2}{81}\cdot x + \frac{4}{9}$

The vertical distance between a point of the tangent line and the origin is given by the intercept.

$d_{y} = \frac{4}{9}$

In order to find horizontal distance between a point of the tangent line and the origin, let equalize y to zero and clear x:

$-\frac{2}{81}\cdot x + \frac{4}{9}=0$

$-\frac{2}{9}\cdot x + 4 = 0$

$x = 18$

$d_{x} = 18$

The area of the triangle is computed by this formula:

$A = \frac{1}{2}\cdot d_{x}\cdot d_{y}$

$A = \frac{1}{2}\cdot (18)\cdot (\frac{4}{9} )$

$A = 4$

4 0

3 years ago

HELP PLEASE ASAP IF NOT RIGHT ANSWER WILL BE REPORTED!!!

matrenka [14]

Answer:

see on assitant of press your middle button

7 0

2 years ago

Read 2 more answers

Find the point on the line y=2x that is closest to the point (4, 5) .

alexgriva [62]

That point would be : (2.5,5)

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2 years ago

Abigail has a cylindrical candle mold with the dimensions shown. If Abigail has a rectangular block of wax

Akimi4 [234]

Answer: Abigail can make about 16 candles because 0.4 of a candle would not make an entire candle.

Step-by-step explanation:

For the Wax, it’s

V=Bh

V= l*w*h

= 15 cm * 11cm * 18 cm

= 2,970 cm^3

For the Mold, it’s

V=Bh

= r^2h

= * (3.1 cm)^2 * 6

= about 181 cm^3

Then you divide to find out how many candles you can make.

2,970 cm^3/181= 16.4

Hope this helps!

7 0

2 years ago