All categories

2 years ago

Jerry's return trip took 2/5 hour longer. How long did his return trip take?

Mathematics

1 answer:

Vedmedyk [2.9K]2 years ago

5 0

It took him 4 1/5 hours to get home

You might be interested in

Dorian posted two online videos on the same day. the total number of views for Video A after t days can be modeled by the equati

ikadub [295]

Answer:

Step-by-step explanation:

5 0

2 years ago

1/3(2b+9)=(b+9/2)<br> solve the equation, and show work,<br> the right side has big parentheses

Lina20 [59]

Answer:

The answer is b = -9/2

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Solve the equation. StartFraction dx Over dt EndFraction equals StartFraction 1 Over x e Superscript t plus 7 x EndFraction An i

MAVERICK [17]

Answer:

$\frac{1}{49}(7x-1)e^{7x}+e^{-t}=C$

Step-by-step explanation:

We are given that

$\frac{dx}{dt}=\frac{1}{xe^{t+7x}}$

We have to find the implicit function

Using separation variable method

$\frac{dx}{dt}=\frac{1}{xe^t\cdot e^{7x}}$

By using property $x^a\cdot x^y=x^{a+y}$

$xe^{7x}dx=e^{-t}dt$

By using property $\frac{1}{x^a}=x^{-a}$

Taking integration on both sides

$\int xe^{7x}dx=\int e^{-t}dt$

Parts integration method

$\int u\cdot v dx=u\int vdx-\int (\frac{du}{dx}\int vdx)dx$

By parts integration method

$x\int e^{7x}dx-\int (\frac{dx}{dx}\int e^{7x}dx)dx=-e^{-t}+C$

Using formula $\int e^{ax} dx=\frac{e^{ax}}{a}+C$

$\frac{xe^{7x}}{7}-\frac{1}{7}\int e^{7x}dx=-e^{-t}+C$

$\frac{xe^{7x}}{7}-\frac{1}{49}e^{7x}+e^{-t}=C$

$\frac{1}{49}(7x-1)e^{7x}+e^{-t}=C$

We are given that

$F(x,t)=C$

$F(x,t)=\frac{1}{49}(7x-1)e^{7x}+e^{-t}=C$

8 0

2 years ago

A roller coaster can load 60 passengers every 5 minutes. Complete the double number line to show how many people can be loaded p

emmasim [6.3K]

Answer: 12 people per minute

Step-by-step explanation:

If you take the number of people loaded every 5 minutes (60) and divided it by 5

You will get 12, which means you can load 12 people on the rollercoaster per minute.

5 0

2 years ago

Read 2 more answers

William fills 1/3 of a water bottle in 5/9 of a minute. How many can be filled in a minute

Snezhnost [94]

For this case we can propose a rule of three:

$\frac {1} {3}$ bottle ------------> $\frac {5} {9}$ minutes

x --------------------------------------> 1 minute

Where the variable "x" represents the number of bottles that can be filled in 1 minute.

$x = \frac {1 * \frac {1} {3}} {\frac {5} {9}}\\x = \frac {\frac {1} {3}} {\frac {5} {9}}\\x = \frac {9 * 1} {3 * 5}\\x = \frac {9} {15}\\x = \frac {3} {5}$

Thus, William can fill $\frac {3} {5}$ of a water bottle in 1 minute.

Answer:

William can fill $\frac {3} {5}$ of a water bottle in 1 minute.

3 0

3 years ago