x varies inversely as y², and x = 6 when y = 8. Find x when y = 2.

Answers

Answer 1

Answer:

x=96

Step-by-step explanation:

Since x varies inversely as [tex]y^{2}[/tex], x*[tex]y^{2}[/tex] = k

sub x=6, y=8 into x[tex]y^{2}[/tex] = k  =>  6*64 = k => k= 384

so when y =2, x = 384/ ([tex]2^{2}[/tex]) = 384/4 = 96

Done :)


Related Questions

An advertising agency spent 80% of its budget on employee salaries.

What fraction of the agency's budget was spent employee salaries?
A: 2/25
B: 1/80
C: 8/100
D:4/5

Answers

The answer would be D. 4/5
Explanation

Divide 3/5÷4 please help ASAP please

Answers

Answer: The answer is 2.4

Step-by-step explanation:Hope this helps

Look at the graph to help you complete the statement
Point D is located in quadrant _blank_
The coordinates of point A are _blank_
The coordinates of point _blank_
are both negative.

Answers

Point D is located in quadrant 2

Point is (2,3)

Coordinates of C are both negative (-0.5,-3)

Answer:

B, D, C

Step-by-step explanation:

brainliest for brainliest :)))

Answers

Answer:

e ok

Step-by-step explanation:

ill make something after this brain :D

...............................................................

Twice a number plus another number is 15. The sum of the numbers
alone is 11. Find the numbers.

Answers

Answer:

2x + 3 = 15

x = 6

2(6) + 3 = 15

Step-by-step explanation:

This is the answer because:

1) 2 x 6 = 12, 12 + 3 = 15

2) 2 + 6 + 3 = 11

Therefore, the answer is 2(6) + 3 = 15

Hope this helps!

Answer:

x=6

Step-by-step explanation:

2x+3=15

15-3=12

12/2=6

x=6

HALP MEE WILL GOVE BRAINLREST

Answers

Answer:

13.3

Step-by-step explanation:

true

Factor.

8x^9−27y^15



Enter your answer in the box.

Answers

Answer:

f

Step-by-step explanation:

f

Answer: a=2x 3 b=3y 5 (2x 3 -3y 5) (4x 6 +6x 3 y5 +9y 10)

Step-by-step explanation:

Find the missing side length

Answers

Answer:

i think its 21

Step-by-step explanation:

Berenice has7/8 yard of fabric. it takes 2/5 yard to make pajama pants. How many pairs of pajama pants can she make?

Answers

7/8 / 2/5 = 35 / 16

The answer is 2

Maria is 3 years older than her brother, Luis. Luis is 2 years older than their youngest sister, Karla. The sum of their ages is 55. How old are the three siblings?

Answers

Answer:

Karla=16 Luis=18 Maria=21


The area of a parallelogram can be found by the equation area = (b)(h)
Find the height of a parallelogram that has an area of 10 1/2 in² and a base of
¾ in.
The height of the parallelogram is ( ) inches.

21/2=(3/4) (h)
(4/3) (21/2) = (4/3) (3/4) (h)​

Answers

Answer: Height = 14

Step-by-step explanation: 10.5 / 0.75 = 14

Answer:

The height is 14 inches

1.If x and y vary directly and y = 16 when x = 12, then which of the following equations correctly represents the relationship between x and y?

Answers

Answer:

[tex]y = \frac{4}{3}x[/tex]

Step-by-step explanation:

Given:

Variation: Direct Variation.

This can be represented as:

[tex]y\ \alpha\ x[/tex]

[tex]y = 16; x = 12[/tex]

Required

Write out the equation

First, the variation has to be converted to an equation

[tex]y\ \alpha\ x[/tex]

[tex]y = kx[/tex]

Where k represents constant of variation.

Substitute 16 for y and 12 for x

[tex]16 = k * 12[/tex]

Solve for k

[tex]k = \frac{16}{12}[/tex]

[tex]k = \frac{4}{3}[/tex]

To get the equation, we simply substitute 4/3 for k in [tex]y = kx[/tex]

[tex]y = \frac{4}{3}x[/tex]

how to subtract 1/4 minus 1/8

Answers

0.125 in decimals hope this helps

Answer:

You would multiply 1/4 by 2/2 in order to get a common demoninator. The answer is 1/8.

Step-by-step explanation:

A grid model with 100 squares. 73 squares are shaded.


What percent of the model is shaded? |_____|
What is the equivalent ratio? |____|
What is the equivalent decimal? |____|
What is the equivalent fraction? |____|

Answers

Answer:

Step-by-step explanation:

73% is shaded

Equivalent ratio 73/100 times 2

146/200 is the ratio

0.73 is the decimal

73/100 is the fraction

Answer:

73%

Step-by-step explanation:

-2|10 + 5x|-8=-16

How do I solve?

Answers

Answer:

so the answer is  

x = -6/5, - 14/ 5

Step-by-step explanation:

i hope this is what your looking for

Answer:

5/6 and -26/5

Step-by-step explanation:

-16 divide -2 = 8

Add 8 = 16

Remove absolute value

Positive 16 - 10 = 6

Divide 5 = 6/5

Negative -16 - 10 = -26

Divide 5 = -26/5

dont understand this ​

Answers

Answer:

a

Step-by-step explanation:

I think it's a I am not sure

can you help with 13​

Answers

I think it is 3 4p -5 15

4.) Taylor paid $4.50
for 30 stickers. What is
the cost per sticker?

Answers

4.50 divided by 30 is .15

Answer:

0.15

Step-by-step explanation:

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Arbaz's mom reminds him that he also needs to purchase car insurance. Arbaz finds a
car insurance policy that will cost him $150 a month for the first 12 months. The cost
is expected to decrease by 3.2% each year he has his license. How much is Arbaz
expected to pay, monthly, after one year? Show your work and explain your answer.

Answers

Answer:

Arbaz is expected to pay $145.2 every moth after one year.

Step-by-step explanation:

We know that 150 dollars is owed every month. And after every 12 months the cost he has to pay a month decreases by 3.2% meaning we have to find what 3.2% is of 150. So we convert 3.2 into a decimal getting us 0.032

150 x 0.032 = 4.8

Now we know what 3.2% is of 150 so we subtract 4.8 from 250 and get 145.2

150 - 4.8 = 145.2

Find the z-score such that: a. The area under the standard normal curve to its left is 0.5 b. The area under the standard normal curve to its left is 0.9826 c. The area under the standard normal curve to its right is 0.1423 z

Answers

Answer:

The answer is below

Step-by-step explanation:

The z score is used to determine by how many standard deviations the mean is above or below the raw score. If the z score is positive then the raw score is above the mean while if the z score is negative then the raw score is below the mean. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma}\\ \\\mu=mean, \sigma=standard\ deviation[/tex]

a)

From the normal distribution, 0.5 corresponds to a z score of 0.

z = 0.

b) From the normal distribution, an area of 0.9826 to the left corresponds to a z score of 2.11.

c) An area to the right of 0.1423 = an area of 0.8577 ( 1- 0.1423) to the left.  From the normal distribution, an area of 0.8577 to the left corresponds to a z score of 1.07

A university is proposing a new procedure for professors to gain tenure. To gauge sentiment about the proposal, the university intends to randomly sample five professors, five assistant professors, five associate professors, five adjunct professors, and five visiting professors. This is an example of what type of sampling design

Answers

Answer:

The correct answer is:

stratified sampling

Step-by-step explanation:

Stratified sampling is a type of sampling method where the population to be sampled is divided into subgroups or strata and then random selection is made, and these strata are formed based on some shared common characteristics. In this example, the population to be sampled is a population of professors, but the researcher went further to divide this group into professors, assistant professors, associate professors, adjunct professors, and visiting profesors.

You must be in degree mode to find sin pie/3
A.) True
B.) False

Answers

Answer:

(i) False. Let A = 30° and B = 60°, then sin (A + B) = sin (30° + 60°) = sin 90° = 1 and, sin A + sin B = sin 30° + sin 60° = 1/2 + √3/2 = 1+√3/2(ii) True. sin 0° = 0 sin 30° = 1/2 sin 45° = 1/√2 sin 60° = √3/2 sin  90° = 1 Thus the value of sin θ increases as θ increases.(iii) False. cos 0° = 1 cos 30° = √3/2 cos 45° = 1/√2 cos 60° = 1/2 cos 90° = 0 Thus the value of cos θ decreases as θ increases.(iv) True. cot A = cos A/sin A cot 0° = cos 0°/sin 0° = 1/0 = undefined.

Step-by-step explanation:

False. You can use both degrees or radians to find sin(pi/3). You only HAVE to be in radians when working with circular objects(like the unit circle)

Evaluate the expression -7(-3)(-1)​

Answers

Answer:

− 21

Step-by-step explanation:

-7(-3)(-1)

21(-1)

-21

find the remainder when x^3-ax^2+6x-a is divided by x-a ​

Answers

Answer:

The remainder is 5a

Hope this helps

shoppers enter hamilton place mall at an average of 120 per hour what is the probability that at least 20 shoppers

Answers

This question is incomplete, the complete question is;

Shoppers enter Hamilton place mall at an average of 120 per hour

what is the probability that at least 20 shoppers but no more than 23 shoppers enter the  mall between noon and 12:30 p.m.?

Answer:

the probability that at least 20 shoppers but no more than 23 shoppers enter the  mall between noon and 12:30 p.m

is 4.20787 × 10⁻⁸ ≈ 0.0000000420787  

Step-by-step explanation:

the probability that at least 20 shoppers but no more than 23 shoppers enter the  mall between noon and 12:30 p.m;

interval between noon and 12:30 is 30min

now the shoppers enter an average of  [(120 × 30) / 60] = 60 per 30min

so

P( 20 ≤ X ≥ 23 ) = P( X=20 ) + P( X=21 ) + P( X=22 ) + P( X=23 )

= [(e⁻⁶⁰(60)²⁰) / 20!] + [(e⁻⁶⁰(60)²¹) / 21!] + [(e⁻⁶⁰(60)²²) / 22!] + [(e⁻⁶⁰(60)²³) / 23!]

= [1.3159 × 10⁻⁹] + [3.7598 × 10⁻⁹] + [1.0254 × 10⁻⁸] + [2.6749 × 10⁻⁸]

= 4.20787 × 10⁻⁸ ≈ 0.0000000420787  

therefore the probability that at least 20 shoppers but no more than 23 shoppers enter the  mall between noon and 12:30 p.m is 4.20787 × 10⁻⁸ ≈ 0.0000000420787  

Juan has $10 to spend. He needs $13 to purchase the supplies. Explain how to find the amount of money Juan is short

Answers

Answer:

he can do things that well give him money

Step-by-step explanation:

Answer:

below

Step-by-step explanation:

First, you must find the total he has: $10

Then, you must find how much he need: $13

Then, you take the smaller number to take away from the greater number: 13-10

Finally, you subtract those two numbers to find the amount the Juan needs: $3

Determine the unit rate: 2 dozen tennis balls for $36

Answers

Answer:

It is $1.50 or $18 per dozen tennis balls

Step-by-step explanation:

1. Divide the total price by the number of tennis balls.

36/24= 1.50

So it cost $1.50 per tennis ball.

2. Then solve by dividing the total price by the number of tennis balls:

36/2= $18

"So it cost $18 per dozen tennis balls"

It is $1.50 or $18 per dozen tennis balls

Summarize the slope of a line on a graph that is decreasing to the right.
The line has a ____?
a.
positive slope
c.
zero slope
b.
negative slope
d.
no slope or undefined slope

I need the answer ASAP!!!!

Answers

Answer:
C. Zero Slope
A is correct one!!!!

Fine the area of this figure round your answer to the nearest hundredth use 3.14 to approximate

Answers

Answer:    49.12 square feet

This value is approximate because we used the approximation pi = 3.14

=================================================

Explanation:

For problems like this, a common approach is to break the figure into smaller pieces. Find the area of each small piece, then add up those individual areas to get the full area we're after.

------------

A = area of triangle

A = 0.5*base*height

A = 0.5*6*8

A = 24 square feet

-----------

B = area of the semicircle with radius r

B = 0.5*(area of full circle with radius r)

B = 0.5*(pi*r^2)

B = 0.5*pi*r^2

B = 0.5*3.14*4^2 .... the diameter is 8, radius is half that

B = 25.12  square feet

--------------

C = area of the full figure

C = A+B

C = 24+25.12

C = 49.12 square feet

In a test with a mean of 100 and a standard deviation of 10, what is the standard deviation for a test score of 120

Answers

This question is incomplete

Complete Question

In a test with a mean of 100 and a standard deviation of 10, what is the standard score for a test score of 120?

Answer:

The standard score = 2

Step-by-step explanation:

The formula for Test (T) score is given as:

T score = zσ + μ

z = Standard or z score = ??

Standard deviation (σ) = 10

Mean (μ) = 100

Test score = 120

120 = 10z + 100

120 - 100 = 10z

20 = 10z

z = 20/10

z= 2

Therefore, the standard score = 2

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