Josh paid for three books with two 20$ bills he received 1$ in change. Each book was the same price how much did each book cost

Mathematics

2 answers:

qaws [65]2 years ago

6 0

Each book costed 7$ 7 x 3 = 19

timofeeve [1]2 years ago

5 0

Each book was $6.33.

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Rearrange the equation a = 1/2 b to make b the formula

Evgesh-ka [11]

Answer: b = 2a

Step-by-step explanation:

<u>Original equation</u>

a = (1/2) b

<u>Multiply 2 on both sides</u>

a * 2 = (1/2) b * 2

$\Large\boxed{b=2a}$

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8 0

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Find a particular solution to y" - y + y = 2 sin(3x)

leonid [27]

Answer with explanation:

The given differential equation is

y" -y'+y=2 sin 3x------(1)

Let, y'=z

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z'-z+zx=2 sin 3 x

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This is a type of linear differential equation.

Integrating factor

$=e^{\int (x-1) dx}\\\\=e^{\frac{x^2}{2}-x}$

Multiplying both sides of equation (1) by integrating factor and integrating we get

$\rightarrow z\times e^{\frac{x^2}{2}-x}=\int 2 sin 3 x \times e^{\frac{x^2}{2}-x} dx=I$

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