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Ratling [72]
3 years ago
5

What is the value of n in 4n + 2 = 6(1/3n - 2/3)?

Mathematics
1 answer:
inysia [295]3 years ago
4 0

4n + 2 = 6(1/3n - 2/3)?

Use distributed to remove parenthesis


4n+2=6(1/3n)+6(-2/3)

Solve right side

4n+2=2n-4


Subtract 4n from 2n


4n-2n+2=-4

Simplify

2n+2=-4

Subtract 2 from both sides

2n=-4+2

Simplify

2n= -2

Divide both sides by 2

2n/2=-2/2


And solve

N= -1

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Answer:

c) 62.

Step-by-step explanation:

Let x represent number of customers came in on the fifth day.

We have been given that the mean number of customers for those four days is 52. So total number of customers on 4 days would be 4 times 52 that is 208 customers.

We know that mean of a data set is equal to sum of all data points divided by number of data points.

Total number of customers on 5 days would be 208+x and total number of days is 5.

Since we need a mean of 54, so we can set mean of 5 days equal to 54 as:

\frac{208+x}{5}=54

Multiply both sides by 5:

\frac{208+x}{5}*5=54*5

208+x=270

208-208+x=270-208

x=62

Therefore, 62 customers must come in on the fifth day to make the five-day mean 54 and option 'c' is the correct choice.

4 0
3 years ago
Find the measures of the acute angles of the right triangle shown
yanalaym [24]

9514 1404 393

Answer:

  • 2x° = 64°
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Step-by-step explanation:

The acute angles in a right triangle are complementary:

  2x° +(x -6)° = 90°

  3x = 96 . . . . . . . . . divide by °, add 6

  x = 32 . . . . . . . . . divide by 3

  (x-6)° = (32 -6)° = 26°

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The acute angles have measures 26° and 64°.

7 0
3 years ago
I need help solving this
Shtirlitz [24]
X+5=2x-7

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y=17

(12, 17)
5 0
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Answer:

y=3

Step-by-step explanation:

perpendicular line to Y-axis passing through any point (m,n) is of the form

y=n

so the answer is

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