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neonofarm [45]
2 years ago
14

6 1/4 (x− 2/3 )=9 3/8 please help SOON

Mathematics
2 answers:
tester [92]2 years ago
8 0
The answer in improper fraction is 35/12 or in mixed number it’s in 2 11/12
Pie2 years ago
3 0

Answer:

x = 2 1/6

Step-by-step explanation:

6 1/4 (x− 2/3 )=9 3/8

Change the mixed numbers to improper fractions

6 1/4 = (4*6+1) / 4 = 25/4

9 3/8 = (8*9 +3) /8 = 75/8

25/4 (x-2/3) = 75/8

Multiply each side by 4/25

4/25*25/4 (x-2/3) = 75/8 *4/25

x-2/3 = 75/25 *4/8

x-2/3 = 3 *1/2

x-2/3 = 3/2

Add 2/3 to each side

x-2/3 +2/3 = 3/2 +2/3

x= 3/2 +2/3

Get a common denominator of 6

x  = 3/2 *3/3    + 2/3 *2/2

x = 9/6 + 4/6

x = 13/6

6 goes into 13 2 times with 1 left over

x = 2 1/6

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Find the rectangular coordinates of the point (squareroot3, pi/6)
svet-max [94.6K]

Answer:

The rectangular coordinates of the point are (3/2 , √3/2)

Step-by-step explanation:

* Lets study how to change from polar form to rectangular coordinates

- To convert from polar form (r , Ф) to rectangular coordinates (x , y)

 use these rules

# x = r cos Ф

# y = r sin Ф

* Now lets solve the problem

∵ The point in the rectangular coordinates is (√3 , π/6)

∴ r = √3 and Ф = π/6

- Lets find the x-coordinates

∵ x = r cos Ф

∵ r = √3

∵ Ф = π/6

∴ x = √3 cos π/6

∵ cos π/6 = √3/2

∴ x = √3 (√3/2) = 3/2

* The x-coordinate of the point is 3/2

- Lets find the y-coordinates

∵ y = r sin Ф

∵ r = √3

∵ Ф = π/6

∴ y = √3 sin π/6

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∴ y = √3 (1/2) = √3/2

* The y-coordinate of the point is √3/2

∴ The rectangular coordinates of the point are (3/2 , √3/2)

6 0
3 years ago
if one card is drawn from a regular deck of cards, what is the probability the card will not be an ace?
satela [25.4K]

There are 52 cards in a deck of cards so that makes 52 your denominator. There are 4 aces in a deck of cards, so 52 - 4 = 48 making 48 your numerator. so the probability the card won't be an ace is 48 out of 52.

48/52 chance that the card will not be an ace.

Hope this helps you. :-)

4 0
3 years ago
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levacccp [35]

Answer:

answer is

Step-by-step explanation:

The number of students in order from least to greatest is 14<24<27<54

Step-by-step explanation:

Total students = 150

16% students play soccer

No. of students play soccer = 

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No. of students play basketball = 

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No. of students play football = 

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6 0
3 years ago
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irrational numbers never end.

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ir: 0.24244..., 89.3668..., 7.121314..., 2.6363...

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