$\dfrac{1}{x}+\dfrac{1}{a}=\dfrac{1}{b}\ \ \ |subtract\ \dfrac{1}{a}\ from\ both\ sides\\\\\dfrac{1}{x}=\dfrac{1}{b}-\dfrac{1}{a}\\\\\dfrac{1}{x}=\dfrac{a}{ab}-\dfrac{b}{ab}\\\\\dfrac{1}{x}=\dfrac{a-b}{ab}\Rightarrow\dfrac{x}{1}=\dfrac{ab}{a-b}\to\boxed{x=\dfrac{ab}{a-b}}$

4 0

3 years ago

A musical charges $ 3.50 for children's tickets and $5.00 for adults tickets. Last night, twice as many adults attended the musi

iogann1982 [59]

Answer: 61 children attended the musical last night.

Step-by-step explanation:

Let x represent the number of children that attended the musical last night.

Let y represent the number of adults that attended the musical last night.

The musical charges $3.50 for children's tickets and $5.00 for adults tickets. If the tickets sales totaled $823.50. It means that

3.5x + 5y = 823.5- - - - - - - - - - 1

Last night, twice as many adults attended the musical than children. It means that

y = 2x

Substituting y = 2x into equation 1, it becomes

3.5x + 5 × 2x = 823.5

3.5x + 10x = 823.5

13.5x = 823.5

x = 823.5/13.5

x = 61

y = 2x = 2 × 61

y = 122

3 0

3 years ago

Abraham throws a ball from a point 40 m above the ground. The height of the ball from the ground level after ‘t' seconds is defi

Minchanka [31]

Answer:

8.899s

Solve: -5t^+40t+40

7 0

3 years ago