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4 years ago

Solve for P: A=P+Prt

Mathematics

2 answers:

zheka24 [161]4 years ago

4 0

$P+Prt=A\\\\P(1+rt)=A\ \ \ \ |divide\ both\ sides\ by\ (1+rt)\\\\P=\frac{A}{1+rt}$

ehidna [41]4 years ago

4 0

$A=P+Prt\\
P(1+rt)=A\\
P=\frac{A}{1+rt}$

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A bus travels 300 kilometers at a given speed. If the speed is increased by 5 kilometers per hour, the trip will be reduced by t

Margaret [11]

Answer:

25km/hr (take the word train as bus )

Step-by-step explanation:

Answer

Let x km/hr be the constant speed of the train,

Then Time taken to cover 300km=

300

hrs

Time taken to cover 300km when the speed is increased by 5km/hr=

x+5

300

hours

It is given that the time to cover 300km is reduced by 2 hours

∴

300

−

x+5

300

⇒

x(x+5)

300(x+5)−300x

=2⇒2x

+10x=1500

⇒x

+5x−750=0⇒x

+30x−25x−750=0

⇒(x+30)(x−25)=0⇒x=25orx=−30

But x cannot be negative. Therefore x=25

Hence, the original speed of the train is 25km/hr

3 0

3 years ago

PLEASE HELP WITH THIS ILL GIVE BRAINLIEST

Mrrafil [7]

Answer:

$\text{a. }x=7, x=-7, \\\text{b. }x=16, x=-16, \\\text{c. }x=3, x=-17, \\\text{d. }x=7, x=-7$

Step-by-step explanation:

For $|x|=y$ , we have two cases:

$\begin{cases}x=y, \\x=-y\end{cases}$

Using this, we can solve all four of the problems:

$\text{a. }|x|=7,\\\begin{cases}x=7, \\x=-7\end{cases}$

$\text{b. }|2x|=32,\\\begin{cases}x=16, \\x=-16\end{cases}$

$\text{c. }|x+7|=10,\\\begin{cases}x+7=10, x=\boxed{3,} \\x+7=-10, x=\boxed{-17}\end{cases}$

$\text{d. }5|x|=35,\\\begin{cases}x=7, \\x=-7\end{cases}$

5 0

3 years ago

Read 2 more answers

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Natalija [7]

Answer:

$\frac{7}{2}\sqrt{3}$

Step-by-step explanation:

the ratio of hypotenuse to longer leg of 30-60-90 triangle is 1 to sqrt(3)/2, and multiply by 7 to obtain answer

8 0

3 years ago

At 1 P.M., the total snowfall is 5 centimeters. At 4 P.M., the total snowfall is 16 centimeters. What is the mean hourly snowfal

Yuri [45]

Answer:

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Step-by-step explanation:

I think the mean hourly snowfall is named Mr. Snowbully

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5 0

3 years ago

The volume of a cone-shaped hole is 1471 ft. If the hole is 9 ft deep, what is the radius of the hole

Ainat [17]

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6 0

3 years ago