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1 year ago

If y varies inversely with x and y=2 when x=5, what is the value of x when y=3?

Mathematics

1 answer:

Nostrana [21]1 year ago

8 0

Answer:

Step-by-step explanation:

Method

Inversely in this sentence means

y = k/x

So you first step is to find the value of k. You do that by setting up an inverse relationship with y = 2 , x = 5

2 = k/5 Multiply both sides by 5

2*5 = 5*k/5

10 = k

Now you are able to answer the question.

k = 10
y = 3
x = ?

y = 10/x

3= 10/x Multiply both sides by x

3*x = x * 10/x

3x = 10 Divide both sides by 3

3x/3 = 10/3

x = 3.33 or x = 3 1/3

Answer

x = 3.33 or x = 3 1/3

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Two number cubes are rolled.

yaroslaw [1]

Answer:

1/4

Step-by-step explanation:

Assuming the number cube is a six-faced die, you have

1 2 3 4 5 6

three odd numbers, and three even numbers. Therefore, the chance of it landing on an odd number or even number is 3/6, which equals 1/2. That means you have a 50% chance to get an odd number, or an even number.

So, you have two die. Both have a 50/50 chance of getting an even or odd number. So what's the chance of one landing on an odd number, and the other landing on an even number?

You would have a 25% chance for an even and then an even number

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You would have a 25% chance for an even and then an odd number

You would have a 25% chance for an odd and then an even number.

25% as a simplified fraction is 1/4. Therefore, 1/4 is your answer.

8 0

2 years ago

Read 2 more answers

Please anyone solve this for me..No spam.

Tamiku [17]

Answer:

3096

Step-by-step explanation:

Given:

$3x-\frac{1}{4y}=24$

Rewrite it as:

$3x=\frac{1}{4y}+24$
$x=\frac{1}{12y}+8$

Simplify the expression:

$8x(6x - \frac{1}{y} ) + \frac{1}{12y^2} (4 - 3y + 36xy^2) =$
$8(\frac{1}{12y}+8)(6(\frac{1}{12y}+8) - \frac{1}{y} ) + \frac{1}{3y^2} - \frac{1}{4y} + 3x =$
$8(\frac{1}{12y}+8)(48- \frac{1}{2y} ) + \frac{1}{3y^2} - \frac{1}{4y} + 24 + \frac{1}{4y} =$
$8(\frac{4}{y}+8*48- \frac{1}{24y^2} -\frac{4}{y} ) + \frac{1}{3y^2} + 24 =$
$8(384-\frac{1}{24y^2}) + \frac{1}{3y^2} + 24 =$
$8*384-\frac{1}{3y^2} + \frac{1}{3y^2} + 24 =$
$3072+24=$
$3096$

3 0

2 years ago

<img src="https://tex.z-dn.net/?f=%283.25%20%2B%20%5Cfrac%7B2%7D%7B7%7D%20%29%20%5Cdiv%20%28%20%5Cfrac%7B3%7D%7B5%7D%20%5Ctimes%

Ainat [17]

Answer:

99/14

Step-by-step explanation:

(3.25 + 2/7) / ( 3/5 * 5/6)=(3.25+2/7) / (1/2)=(3.25+2/7)*2=(99/28)*2=99/14

8 0

2 years ago

Triangle A E C is shown. Line segment B D is drawn near point C to form triangle B D C.

AVprozaik [17]

∠BDC and ∠AED are right angles, is a piece of additional information is appropriate to prove △ CEA ~ △ CDB

Triangle AEC is shown. Line segment B, D is drawn near point C to form triangle BDC.

<h3> What are Similar triangles?</h3>

Similar triangles, are those triangles which have similar properties,i.e. angles and proportionality of sides.

Image is attached below,
as shown in figure
∡ACE = ∡BCD ( common angle )
∡AED = ∡BDC ( since AE and BD are perpendicular to same line EC and make right angles as E and C)
∡EAC =- ∡DBC ( corresponding angles because AE and BD are parallel lines)

Thus, △CEA ~ △CDB , because of the two perpendiculars AE and BD.

Learn more about similar triangles here:
brainly.com/question/25882965

#SPJ1

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1 year ago

What is the relationship between the lines determined by the following two equations?

oksano4ka [1.4K]

Answer:

C. They are the same line.

Step-by-step explanation:

In order to compare the linear equations given, they need to be in the same form. The best form in order to evaluate slope and y-intercept is slope-intercept form, y = mx + b. Since the second equation is already in slope-intercept form, we need to use inverse operations to convert the first equation:

6x - 2y = 16 ---- 6x - 2y - 6x = 16 - 6x ---- -2y = -6x + 16

-2y/-2 = -6x/-2 + 16/-2

y = 3x - 8

Since both equations are in the form y = 3x - 8, then they are both the same line.

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3 years ago