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Veronika [31]
3 years ago
14

Multi step equations

Mathematics
2 answers:
miv72 [106K]3 years ago
6 0

-86 = -6(-3p - 3) - 5p

Distribute the -6 into the parentheses:

-86 = (-6 * -3p) + (-6 * -3) - 5p

-86 = 18p + 18 - 5p

Simplify:

-86 = 13p + 18

Subtract both sides by 18:

-86 - 18 = 13p + 18 - 18

-104 = 13p

Divide both sides by 13:

\frac{13p}{13} = \frac{-104}{13}

\frac{p}{1} = \frac{-8}{1}

<u>p = -8</u>

<u></u>

Good luck! If you have any questions, don't be afraid to ask :))

-T.B.

storchak [24]3 years ago
5 0

Answer:

Step-by-step explanation:

First you distribute( multiply) the -6 to everything inside the parentheses.

Now you have -86= 18p + 18 - 5p

Now combine like terms

-86 = 13p + 18

Now subtract 18 from both sides of the equal sign

-104 = 13p

Now divide by 13 on both sides of the equal sign.

p = -8

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3 years ago
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Find the values of x and y
zhuklara [117]

You can use a tangent:

tangent=\dfrac{opposite}{adjacent}

We have opposite = 17 and adjacent = x.

\tan30^o=\dfrac{\sqrt3}{3}

substitute:

\dfrac{17}{x}=\dfrac{\sqrt3}{3}       cross multiply

x\sqrt3=(3)(17)     multiply both sides by √3

x(\sqrt3)(\sqrt3)=51\sqrt3

3x=51\sqrt3      divide both sides by 3

x=17\sqrt3

Use the Pythagorean theorem:

y^2=(17\sqrt3)^2+17^2\\\\y^2=289(\sqrt3)^2+289\\\\y^2=289\cdot3+289\\\\y^2=867+289\\\\y^2=1156\to y=\sqrt{1156}\\\\y=34

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Other method.

30^o-60^o-90^o triangle.

The sides are in the ratio 1:2:\sqrt3\to17:y:x

Therefore

17:(2\cdot17):(17\sqrt3)\to17:34:17\sqrt3\to x=34,\ y=17\sqrt3

 


4 0
4 years ago
Which point, (5/2, 3) or (3/2, 20), is on the graph of 2x - 2/3y =3?<br><br> show steps pls!
Anna11 [10]
You should try both points
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4 0
4 years ago
What is 5 8/12 as a mixed number in its simplest form
Elena-2011 [213]

Answer:

5 2/3

Step-by-step explanation:

Just keep simplifying 8/12 until you end up with 2/3

Find the GCF of both the numerator and denominator and you end up with 2/3

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6 0
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iris [78.8K]

Answer:

The venue has to host 47 events throughout the year

Step-by-step explanation:

Profit:

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Per event:

$100,000 revenue

$50,000 costs

$100,000 - $50,000 = $50,000 profit.

If the venue wants to make a total profit margin of $2,350,000, how many events does the venue have to host throughout the year?

1 event - $50,000 profit.

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x = \frac{2350000}{50000}

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6 0
3 years ago
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