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3 years ago

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-3x+4y=7 y=3x-5 I NEED HELP PL Z HELP ME

1 answer:

andrew-mc [135]3 years ago

3 0

$- 3x + 4y = 7 \\ y = 3x - 5$

<em>[</em><em>Substitute</em><em> </em><em>the</em><em> </em><em>given</em><em> </em><em>value</em><em> </em><em>of</em><em> </em><em>y</em><em> </em><em>into</em><em> </em><em>the</em><em> </em><em>first</em><em> </em><em>equation</em><em>]</em>

<em> $- 3x + 4 \times (3x - 5) = 7$ </em>

<em>[</em><em>Distribute</em><em> </em><em>4</em><em> </em><em>through</em><em> </em><em>the</em><em> </em><em>parentheses</em><em>]</em>

<em> $- 3x + 12x - 20 = 7$ </em>

<em>[</em><em>Collect</em><em> </em><em>like</em><em> </em><em>terms</em><em>]</em>

<em> $9x - 20 = 7$ </em>

<em>[</em><em>Move</em><em> </em><em>the</em><em> </em><em>constant</em><em> </em><em>to</em><em> </em><em>the</em><em> </em><em>right-hand</em><em> </em><em>side</em><em> </em><em>and</em><em> </em><em>change</em><em> </em><em>its</em><em> </em><em>sign</em><em>]</em>

<em> $9x = 7 + 20$ </em>

<em>[</em><em>Add</em><em> </em><em>the</em><em> </em><em>numbers</em><em>]</em>

<em> $9x = 27$ </em>

<em>[</em><em>Divide</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>equation</em><em> </em><em>by</em><em> </em><em>9</em><em>]</em>

<em> $x = 3$ </em>

<em>[</em><em>Substitute</em><em> </em><em>the</em><em> </em><em>given</em><em> </em><em>value</em><em> </em><em>of</em><em> </em><em>x</em><em> </em><em>into</em><em> </em><em>the</em><em> </em><em>second</em><em> </em><em>equation</em><em>]</em>

<em> $y = 3 \times 3 - 5$ </em>

<em>[</em><em>Multiply</em><em> </em><em>the</em><em> </em><em>numbers</em><em>]</em>

<em> $y = 9 - 5$ </em>

<em>[</em><em>Subtract</em><em> </em><em>the</em><em> </em><em>numbers</em><em>]</em>

<em> $y = 4$ </em>

<em>[</em><em>The possible solution of the system is the ordered pair (x,y)</em><em>]</em>

<em> $(x,y)=(3,4)$ </em>

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A certain animated movie earned $ 1 . 1 ? 1 0 9 $1.1?10 9 in revenues at the box office. The movie lasts 9 . 1 ? 1 0 1 9.1?10 1

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Answer:

$ $1.21\times 10^{7}$ per minute.

Step-by-step explanation:

We have been given that a certain animated movie earned $ $1.1\times10^{9}$ in revenues at the box office. The movie lasts $9.1\times10^{1}$ minutes.

To find the revenue earned per minute of the movie we will will divide $1.1\times10^{9}$ by $9.1\times10^{1}$ .

$\text{The revenue earned per minute by the movie}=\frac{1.1*10^{9}}{9.1*10^{1}}$

Using quotient rule of exponents we will get,

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$\text{The revenue earned per minute by the movie}=0.1208791208791209\times 10^{8}$

We can write 0.1208791208791209 as $1.208791208791209\times10^{-1}$ .

$\text{The revenue earned per minute by the movie}=1.208791208791209\times 10^{-1} \times 10^{8}$

Using product rule of exponents we will get,

$\text{The revenue earned per minute by the movie}=1.208791208791209\times 10^{-1+8}$

$\text{The revenue earned per minute by the movie}=1.208791208791209\times 10^{7}$

Upon rounding our answer to two decimal places we will get,

$\text{The revenue earned per minute by the movie}=1.21\times 10^{7}$

Therefore, the movie had earned a revenue of $ $1.21\times 10^{7}$ per minute.

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