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goldenfox [79]
3 years ago
5

Which of the following equations is equivalent to x - y = 8?

Mathematics
2 answers:
matrenka [14]3 years ago
4 0
Say x = 12 and y = 4 
12 - 4 = 8

Number 1
2(12) - 4(4) = 8
24 - 16 = 8
Number 1 is your Answer
timofeeve [1]3 years ago
3 0

Answer:

The equivalent equation is 1) 2x - 4y = 8

Step-by-step explanation:

The given equation is x - y = 8.

Here we have 8 on the right hand side.

Now find the equation which has 8 on the right hand side.

It is 2x - 4y = 8

Therefore, the equivalent equation is 1) 2x - 4y = 8

Now let's find the value of x and y.

From the equation x - y = 8, we get

x = y + 8

Now plug in x = y + 8 in the equation 2x - 4y = 8

2(y + 8) -4y = 8

Use the distributive property

2y + 16 -4y = 8

-2y + 16 = 8

-2y = 8 -16

-2y  = -8

Dividing both sides by -2, we get

y = 4

Now plug in y = 4 in x = y + 8 to get the value of x.

x = 4 + 8 = 12

So the value of x = 12 and y = 4

If we plug these values in the above two equations, we get will get 8.

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wlad13 [49]

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8 0
2 years ago
The height of adult males on a given South Pacific Island is approximately normally distributed with mean 65 inches and standard
zvonat [6]

Answer:

a) 0.59871

b) 0.22663

e) 0.95994

Step-by-step explanation:

The height of adult males on a given South Pacific Island is approximately normally distributed with mean 65 inches and standard deviation of 4 inches.

We solve using z score

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 65 inches

σ is the population standard deviation = 4 inches

a). Taller than 64 inches

This means x > 64

Hence,

64 - 65/4

=- 1/4 = -0.25

P-value from Z-Table:

P(x<64) = 0.40129

P(x>64) = 1 - P(x<64) = 0.59871

b.) shorter than 62 inches

Hence,

62 - 65/4

=- 3/4 =- 0.75

P-value from Z-Table:

P(x<62) = 0.22663

c.) between 64 inches and 68 inches

Hence,

for 64 inches

64 - 65/4

=- 1/4 = -0.25

P-value from Z-Table:

P(x = 64) = 0.40129

For 68 inches

Hence,

68 - 65/4

= 3/4= 0.75

P-value from Z-Table:

P(x = 68) = 0.77337

d.) between 58 and 68 inches

e.) taller than 58 inches

Hence,

58 - 65/4

= -6/4 = -1.5

P-value from Z-Table:

P(x<58) = 0.040059

P(x>58) = 1 - P(x<58) = 0.95994

7 0
3 years ago
What is the value of x in the equation <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7Dx%20-%5Cfrac%7B2%7D%7B3%7D" id="Te
SVEN [57.7K]

Answer:

x= 200

Step-by-step explanation:

The given equation is:

1/5 x - 2/3 y = 30

The value of y is 15

Put the value of y in the given equation:

1/5 x - 2/3(15) = 30

1/5 x- 10 = 30

Take the L.C.M of the denominator

x-50/5 = 30

Move the denominator to the R.H.S

x-50 = 30*5

x-50 = 150

Combine the like terms

x= 150+50

x = 200

The value of x is 200...

5 0
3 years ago
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You have an 8 out of 19 chance to grab a potato soup.


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In ΔRST, s = 620 cm, r = 210 cm and ∠R=17°. Find all possible values of ∠S, to the nearest 10th of a degree.
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Answer:

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Step-by-step explanation:

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