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3 years ago

Reg is visiting the united states and needs to convert 2,000 rupees to US dollars

Mathematics

1 answer:

Georgia [21]3 years ago

8 0

Answer:

27.3 dollars

Step-by-step explanation:

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Pumps A, B, and C operate at their respective constant rates. Pumps A and B, operating simultaneously, can fill a certain tank i

jeka94

Let $a,b,c$ be the time it takes for pumps A, B, and C (respectively) to fill 1 tank. Then

$\begin{cases}\dfrac1a+\dfrac1b=\dfrac1{\frac65}=\dfrac56\\\\\dfrac1a+\dfrac1c=\dfrac1{\frac32}=\dfrac23\\\\\dfrac1b+\dfrac1c=\dfrac12\end{cases}$

Now,

$\left(\dfrac1a+\dfrac1b\right)-\left(\dfrac1a+\dfrac1c\right)=\dfrac56-\dfrac23\implies\dfrac1b-\dfrac1c=\dfrac16$

Then

$\left(\dfrac1b+\dfrac1c\right)+\left(\dfrac1b-\dfrac1c\right)=\dfrac12+\dfrac16\implies\dfrac2b=\dfrac23\implies b=3$

This means

$\dfrac1a+\dfrac13=\dfrac56\implies\dfrac1a=\dfrac12\implies a=2$

and

$\dfrac13+\dfrac1c=\dfrac12\implies\dfrac1c=\dfrac16\implies c=6$

Working together, all 3 pumps would operate at a rate of

$\dfrac1a+\dfrac1b+\dfrac1c=1$

or 1 tank in 1 hour, so the answer is D.

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2 years ago

Pythagorean theorem (picture provided)

const2013 [10]

Answer:

Step-by-step explanation:

To solve for a side using pythag:

$\sqrt{37^2-35^2}$

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2 years ago

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olasank [31]

Answer:

can you write that a lil better

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2 years ago

A number is 7 tens more than 624. What is the number?

blagie [28]

624 + 70 = 694
( I think this might be the answer, depending on if it's basic math compared to a more specific subject.)

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3 years ago

Plz help with numbers 9 and 10!

Vlada [557]

Question number 9
Angle 1 is 75. This is because If two parallel lines are cut by a transversal, the corresponding angles are congruent.

Angle 2 is 105. This is because If two parallel lines are cut by a transversal, the interior angles on the same side of the transversal are supplementary.

Question number 10
Angle 1 is 120. This is because If two parallel lines are cut by a transversal, the corresponding angles are congruent.

Angle 2 is 60. This is because If two parallel lines are cut by a transversal, the interior angles on the same side of the transversal are supplementary.

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2 years ago