243.875 to nearest tenth, hundredth, ten, and hundred

Mathematics

1 answer:

spayn [35]3 years ago

4 0

The nearest tenth (243.9)
The nearest hundredth (243.88)
The nearest ten (240)
The nearest hundred (200)

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at 1:30 in the afternoon an old freight train and a new dart express train pull out of the new garland station going in opposite

zalisa [80]

Answer:

$V_{E} = -22.5 / 15 = 1.5 miles/minute\\V_{F} = 7.5 / 15 = 0.5 miles/minute$

Step-by-step explanation:

To answer this problem, we must bear in mind that the express train travels 3 times faster than the freight train.

If we call F the distance that the freight train travels and we call E at the distance that the express train travels, we must have the distance between them after 15 minutes it must be 30 miles.

$F + E = 30\\$

We also know that:

$E = 3F$

Since the express train travels 3 times faster than the freight train.

So, like both equations, we have to:

$F + 3F = 30\\F = 30/4\\F = 7.5 miles\\$

Then $E = 7.5*3 = 22.5$ miles in the opposite direction.

This is the distance you traveled in 15 minutes.

Therefore, the speed of the express train ( $V_{E}$ ) is the distance traveled between the time it did

$V_{E} = -22.5 / 15 = 1.5 miles/minute\\V_{F} = 7.5 / 15 = 0.5 miles/minute$

3 0

3 years ago

A family has two cars. the first car has a fuel efficiency of 40 miles per gallon of gas and the second has a fuel efficiency of

Aliun [14]

Let x and y represent the numbers of gallons used by the 40 mpg and 35 mpg cars, respectively.
.. x +y = 40 . . . . . . . . . . .total consumption is 40 gallons
.. 40x +35y = 1525 . . . . total miles driven = 1525

Multiply the first equation by 40 and subtract the second.
.. 40(x +y) -(40x +35y) = 40(40) -(1525)
.. 5y = 75
.. y = 15
.. x = 40 -15 = 25

The 40 mpg car consumed 25 gallons.
The 35 mpg car consumed 15 gallons.

7 0

3 years ago

Suppose a tub has the shape of an elliptical paraboloid given by z = ax2+by2 (where a, b are some positive constants). If a marb

Umnica [9.8K]

Answer:

It would roll in this direction.

$\nu = (-a/\sqrt{a^2+b^2},-b/\sqrt{a^2+b^2})$

Step-by-step explanation:

It would roll to the direction of maximum decrease, which is the -1 times the direction of maximum increase, which is given by the gradient of the function.

Since

$z = ax^2 + by^2$