All categories

2 years ago

Harish

Mathematics

1 answer:

Artist 52 [7]2 years ago

5 0

Answer:

Step-by-step explanation:

Distance traveled in $1\frac{4}{5}$ hours = $\frac{3}{10}$

Distance traveled in 1 hour = $\frac{3}{10}$ ÷ $1\frac{4}{5}$

$=\frac{3}{10}$ ÷ $\frac{9}{5}$

$= \frac{3}{10}*\frac{5}{9}\\\\=\frac{1}{2}*\frac{1}{3}\\\\=\frac{1}{6}$

distance traveled in 3 1/5 hours = $\frac{1}{6}*3\frac{1}{5}$

= $=\frac{1}{6}*\frac{8}{5}\\\\=\frac{1}{3}*\frac{4}{5}\\\\=\frac{4}{15}$

You might be interested in

What multiples of 4 are not factors of 48

Serga [27]

The factors of 48 are 1,2,3,4,6,8,12,16,24, and 48. Take factors of 4, and see which of them are not on that list.

7 0

3 years ago

Which of the following best describes the English expression five more than the quantity of a number minus six?

klasskru [66]

5 + x - 6 hopes this helps

8 0

2 years ago

Find a linear second-order differential equation f(x, y, y', y'') = 0 for which y = c1x + c2x3 is a two-parameter family of solu

Alisiya [41]

Let $y=C_1x+C_2x^3=C_1y_1+C_2y_2$ . Then $y_1$ and $y_2$ are two fundamental, linearly independent solution that satisfy

$f(x,y_1,{y_1}',{y_1}'')=0$
$f(x,y_2,{y_2}',{y_2}'')=0$

Note that ${y_1}'=1$ , so that $x{y_1}'-y_1=0$ . Adding $y''$ doesn't change this, since ${y_1}''=0$ .

So if we suppose

$f(x,y,y',y'')=y''+xy'-y=0$

then substituting $y=y_2$ would give

$6x+x(3x^2)-x^3=6x+2x^3\neq0$

To make sure everything cancels out, multiply the second degree term by $-\dfrac{x^2}3$ , so that

$f(x,y,y',y'')=-\dfrac{x^2}3y''+xy'-y$

Then if $y=y_1+y_2$ , we get

$-\dfrac{x^2}3(0+6x)+x(1+3x^2)-(x+x^3)=-2x^3+x+3x^3-x-x^3=0$

as desired. So one possible ODE would be

$-\dfrac{x^2}3y''+xy'-y=0\iff x^2y''-3xy'+3y=0$

(See "Euler-Cauchy equation" for more info)

6 0

3 years ago

the copy machine at the library made a copy of leslie's 3 page essay in just 1/10 of a minute. what is the speed of the copy mac

borishaifa [10]

Answer:

<h2><em>30page essay/min</em></h2>

Step-by-step explanation:

Speed is the change in distance of a body with respect to time.

Speed = Distance/Time

If the library made a copy of leslie's 3 page essay in just 1/10 of a minute, this means that she made 3 pages in (1/10 * 60)secs i.e 6secs

To get the speed, we need to calculate the amount of page of essay that are produced in a minute (60secs).

If 3 page essay = 6secs

x page essay = 60 secs

cross multiply

3*60 = 6x

180 = 6x

x = 180/6

x = 30

<em>This shows that 30 page essays are produced in just a minute. Hence the speed of the copy machine is 30page essay/min.</em>

5 0

3 years ago

The quotient of a number and -9 increased by 10 is 11.

andrezito [222]

So the division of a number and -9 or
x/-9

+10=11 or

(x/-9)+10=11
subtract 10 from both sides
x/-9=1
multiply both sides by -9
x=-9

3 0

3 years ago

Read 2 more answers