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Svetllana [295]

3 years ago

10

The budget for a remake of a movie is 100 times the budget of the original movie. The originals movie budget was 6•10^5 dollars.

What is the budget of the remake? Express your answer as a power. How do you write it? What does it mean to multiply it by 100

1 answer:

snow_tiger [21]3 years ago

4 0

Answer:

6000000

Step-by-step explanation:

6•10^5=600000

(6x 10^6)x10=6000000

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Find a fraction equivalent to 5/7 whose squared terms add up to 1184.

bogdanovich [222]

The system of equations of two unknowns is formulated and solved.

$\large\displaystyle\text{$\begin{gathered}\sf \bf{ \left\{\begin{matrix} \ \ \ \dfrac{x}{y} = \dfrac{5}{7} \\ x^2+y^2 = 1184 \end{matrix}\right. \ \Longrightarrow \ x=\dfrac{5}{7}y } \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf \bf{ \left (\dfrac{5}{7}y \right )^2+y^2=1184\ \Longrightarrow\ 25y^2+49y^2=58016 } \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf \bf{74y^{2}=58016} \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf \bf{ \ \ \ \ \ \ y^{2}=784 } \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf \bf{ \ \ \ \ \ y=\pm\sqrt{784}=\pm28 } \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf \bf{ x=\dfrac{5}{7}(\pm 28)=\pm 20 } \end{gathered}$}$

The fraction that satisfies the request is $\bf{\dfrac{20}{28}}$ , since in $\bf{\dfrac{-20}{-28}}$ the negative signs are canceled and the first fraction is obtained.

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2 years ago

Jeremiah lives in New York City and takes a taxi almost everywhere he goes. In order to calculate the price of his taxi ride,

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Answer:

1. P ( tails) = 1/2

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Step-by-step explanation:

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P ( tails) = 1/2

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P (number greater than 4) = 2/6 = 1/3

See the dice chart

There are 36 possibilities when you roll the die.

There are 5 that sum to 8

P (2 die sum to 8) = 5/36

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Ksenya-84 [330]

Answer:

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