All categories

3 years ago

A train is traveling at a constant speed and goes 7.5 kilometers in 6 minutes. At that rate:

Mathematics

2 answers:

Orlov [11]3 years ago

8 0

For distance in 1 minute, divide the distance for 6 minutes by 6 minutes:

7.5 km / 6 minutes = 1.25 km per minute.

For 100 minutes, multiply distance per minute by total minutes:

1.25 km per minute x 100 minutes = 125 km

nlexa [21]3 years ago

8 0

Answer:

1.25 km in 1 minute

125 km in 100 minutes

Step-by-step explanation:

Find its speed in km/min by dividing the km by number of minutes:

7.5/6

= 1.25

So, the train goes 1.25 km in 1 minute.

Using this speed, find how far it goes in 100 minutes, by multiplying the speed by 100:

1.25(100)

= 125

So, in 100 minutes, the train goes 125 km.

You might be interested in

Can someone please answer this

kaheart [24]

Answer:

<h2> ${7}^{3} (as \: a \: single \: power \: of \: 7)$ </h2>

Step-by-step explanation:

Given 

${7}^{4} \div 7$

Since,

${a}^{x} \div {a}^{y} = {a}^{x - y}$

Hence,

$= {7}^{4 - 3}$

$= {7}^{3} (ans)(as \: a \: single \: power \: of \: 7)$

8 0

3 years ago

The ordered pair (3,9) is a solution to the following system of equations.

nevsk [136]

The answer to the question is: true

7 0

3 years ago

Three vertices of parallelogram ABCD are A(2,-6),B(-1,2),C(5,3).find the coordinates of vertex D

salantis [7]

Check the first picture below.

for a parallelogram, it has to have two pairs of parallel sides, so BC || AD and AB || CD.

if two lines are parallel, they have the same slope, namely the same rise and run.

notice, the line BC has a run of 6 and a rise of 1, arrows in red, therefore, AD must also have a run of 6 and a rise of 1, so if we move from A 6 units over and 1 up, we'd end up at point D.

now, for part atop

Check the 2nd picture, in a parallelogram, opposite sides are parallel and opposite angles are equal, so if WLP is 144°, then PNW is also 144°.

in a parallelogram, diagonals bisect each other, so each cut the other in halves, so if PM is 9 then MW is also 9 and thus PW is just 9+9=18.

now, about QRST.

notice what we said about a parallelogram above, thus

$\bf 8x+13=11x-23\implies 8x+36=11x\implies 36=3x \\\\\\ \cfrac{36}{3}=x\implies \boxed{12=x} \\\\[-0.35em] ~\dotfill\\\\ 2y+12=4y-4\implies 2y+16=4y\implies 16=2y \\\\\\ \cfrac{16}{2}=y\implies \boxed{8=y}$