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3 years ago

Simplify -9(1-10n) - 2(3n+9)

Mathematics

1 answer:

agasfer [191]3 years ago

4 0

Answer:

3 (28 n - 9)

Step-by-step explanation:

Simplify the following:

-9 (1 - 10 n) - 2 (3 n + 9)

-9 (1 - 10 n) = 90 n - 9:

90 n - 9 - 2 (3 n + 9)

-2 (3 n + 9) = -6 n - 18:

90 n + -6 n - 18 - 9

Grouping like terms, 90 n - 6 n - 18 - 9 = (90 n - 6 n) + (-9 - 18):

(90 n - 6 n) + (-9 - 18)

90 n - 6 n = 84 n:

84 n + (-9 - 18)

-9 - 18 = -27:

84 n + -27

Factor 3 out of 84 n - 27:

Answer: 3 (28 n - 9)

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Please help thank you!

Arte-miy333 [17]

Answer:

golf: $10
batting: $2.50

Step-by-step explanation:

We can write two equations in the two unknowns using the given relations. Let g and b represent the costs of a round of golf and a turn in the batting cage, respectively.

5g +4b = 60 . . . . . Sylvester's expense

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Dividing the second equation by 3 gives ...

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Substituting into the first equation, we have ...

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5g +2(15 -g) = 60 . . . . . substitute for 2b

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2 years ago

PLEASE HELP!! URGENT!!!! UNIT TEST!!!!

slavikrds [6]

ANSWER

$y=-\frac{4}{3}x+\frac{16}{3}$

$3y+4x=16$

EXPLANATION

Let us find the gradient of the line:

$-3x+4y=4$ by rewriting it in the slope intercept form.

$\Rightarrow 4y=3x+4$

We divide through by 4 now;

$\Rightarrow y=\frac{3}{4}x+1$

This is now in the form;

$y=mx+c$

where

$m=\frac{3}{4}$ is he slope.

This implies that the slope of the line that is perpendicular to this line will be the negative reciprocal of $m=\frac{3}{4}$ .

Thus the perpendicular line has slope,

$m=\frac{-1}{\frac{3}{4}}= -\frac{4}{3}$ .

Let the perpendicular line have equation,

$y=mx+c$

When we substitute the slope we have;

$y=-\frac{4}{3}x+c$

We substitute the point. $(4,0)$ to find c.

$0=-\frac{4}{3}(4)+c$

$0=-\frac{16}{3}+c$

$\frac{16}{3}=c$

We substitute c to obtain;

$y=-\frac{4}{3}x+\frac{16}{3}$

$3y+4x=16$

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3 years ago

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nexus9112 [7]

Answer:

56 decreases to 11 because 45 was subtracted from it.

56-45=11

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