If a varies jointly as b and c,
and a=6 when b=2 and a=3.
Find the variation constant and
the equation of variation.​

Answers

Answer 1

Given:

a varies jointly as b and c.

a=6 when b=2 and a=3.

To find:

The variation constant and the equation of variation.

Solution:

a varies jointly as b and c.

[tex]a\propto bc[/tex]

[tex]a=kbc[/tex]              ...(i)

Where, k is the constant of proportionality.

a=6 when b=2 and a=3.

[tex]6=k(2)(3)[/tex]

[tex]6=6k[/tex]

[tex]\dfrac{6}{6}=k[/tex]

[tex]1=k[/tex]

The value of k is 1.

Putting k=1 in (i), we get

[tex]w=1xy[/tex]

[tex]w=xy[/tex]

Therefore, the variation constant is 1 and the equation of variation is [tex]w=xy[/tex].


Related Questions

Janet needs 1.25 ft of fabric to make a scarf. If she buys a 20 yd roll of fabric, how many scarves can she make?

Answers

Answer:

the answer is 16 i think

Step-by-step explanation:

you need to divide 20 and 1.25 and you will get 16 so the answer is 16

Algerba 1 !! plz help tysm <3

Answers

Answer:

D and B

Step-by-step explanation:

Count each m. There are 4. Therefore it will be m^4.

Now how many n's are there? 2! So it will be n^2. Put them together and you have m^4n^2 which is D

Plug in each value for x and y in the equation. 3^2 is 3 times 3 or 9. (-2)^3 is -2 times -2 times -2 which is -8. Now multiply 9 by -8. You get -72 which is the answer B.

Sid made 60% of the free throws that he attempted. If he attempted 40 free throws at basketball practice, how many did he make?

Answers

Answer:

iON know

Step-by-step explanation:

3,1,-2,-4,-1, least to greatest

Answers

-4 -2 -1, 1 3 hope it helps

Answer:

-4, -2, -1, 1, 3

Step-by-step explanation:

Because some of these numbers are negative, they will be getting smaller as they get bigger. Think of it like this:

When you are determining whether the negative number is bigger or smaller, take the negative sign off or pretend its not there. Then, as the numbers get bigger, they become less. For example, you have these numbers:

-1, -5, -8, -3, and -2

To find out what the order is from least to greatest, you do this:

take the negative sign off

1,5,8,3, and 2

then put them in order from least to greatest

so its

1, 2, 3, 5, 8

Then flip it so its from greatest to least

so its

8,5,3,2,1

Now put the negative signs back

making it:

-8, -5, -3, -2, and -1

That is how you find out what the numbers are from least to greatest.

Hope this helps!

PS. You should eat chicken nuggets because they are good

Mrs.smith has 4 tables for her students.each table can seat 5 students

Answers

Answer:

imma just assume your asking how many students she has so 20

Step-by-step explanation:

Which ordered pair best represents the location of point A. A(2,3) B(3,2) C(2,2) D(3,3) Pls explain your answer :) 20 points​

Answers

Answer:

The correct answer is B

Step-by-step explanation:

zzzz

On a test, 4 students receive an 84%, 3 students receive a 72%, and 2 students receive an 89%. What is the average test score for the group of students?

Answers

The answer to this would be about 81.1

please help me on this will give brainliest

Answers

Answer:

(m x 2)+10

Step-by-step explanation:

Answer:

2m+10

Step-by-step explanation:

First you write down 10. Then, you see that the “More than” is there and that indicates that the expression is flipped, but added to the next part of the word problem, which makes it +10. Next you see that it‘s twice Mabel’s height which is 2*m which is then 2m. Then you put the expressions together and get 2m+10. Hope this helps.

What is the difference between the mean of the population and the mean of the sample? 0.24 0.36 2.40 2.64

Answers

Answer: 0.24

Step-by-step explanation:

Answer:

0.24

Step-by-step explanation:

i took the test i got it right!

28775 tickets are sold for a football match. Children’s tickets cost £15. The ratio of children to adults is 9:16.
If the total ticket sales makes £615785, what is the difference between the price of an adults ticket and a children’s ticket?

Answers

Answer:

Difference = £10

Step-by-step explanation:

Represent adult with A and children with C

[tex]A + C = 28775[/tex]

[tex]C : A = 9 : 16[/tex]

[tex]Sales = 615785[/tex]

Required

Determine the difference in price of both tickets

[tex]A + C = 28775[/tex]

Convert ratio to fraction

[tex]C : A = 9 : 16[/tex]

[tex]\frac{C}{A} = \frac{9}{16}[/tex]

Cross Multiply

[tex]16C = 9A[/tex]

Make C the subject

[tex]C = \frac{9}{16}A[/tex]

Substitute [tex]C = \frac{9}{16}A[/tex] in [tex]A + C = 28775[/tex]

[tex]A + \frac{9}{16}A = 28775[/tex]

Take LCM

[tex]\frac{16A + 9A}{16} = 28775[/tex]

[tex]\frac{25A}{16} = 28775[/tex]

Multiply both sides by 16

[tex]16 * \frac{25A}{16} = 28775*16[/tex]

[tex]25A= 28775*16[/tex]

[tex]25A= 460400[/tex]

Make A the subject

[tex]A = \frac{460400}{25}[/tex]

[tex]A = 18416[/tex]

Substitute 18416 for A in [tex]C = \frac{9}{16}A[/tex]

[tex]C = \frac{9}{16} * 18416[/tex]

[tex]C = \frac{9* 18416}{16}[/tex]

[tex]C = \frac{165744}{16}[/tex]

[tex]C = 10359[/tex]

If a children ticket costs £15, then total children tickets cost:

[tex]Children = 10359 * 15[/tex]

[tex]Children = 155385[/tex]

The total sales is given as:

[tex]Sales = 615785[/tex]

So, the total cost of adult ticket is:

[tex]Adults = 615785 - 155385[/tex]

[tex]Adults = 460400[/tex]

Recall that number of adults is: 18416

So, an adult ticket costs

[tex]An\ adult\ ticket = \frac{460400}{18416 }[/tex]

[tex]An\ adult\ ticket = 25[/tex]

So, we have that:

Children Ticket = £15

Adult Ticket = £25

The difference is:

Difference = £25 - £15

Difference = £10

Adam bike 15 miles in 3 hours. Ben bike 12 miles in 2 hours. What was there speed?

Answers

Adam: 15 miles / 3 = 5Mi/Hr
Ben: 12 miles / 2 = 6Mi/Hr
Hope this helps!

please please please please please please please please please please please please help help please​

Answers

Answer:

x=5

Step-by-step explanation: you can look the the line. If the line is vertical, then the equation should be x=(the number). if the line is horizontal, the y=(the number that the line is going through to)

Brianliest for correct answer

Answers

Answer: i Think it would be 80

Step-by-step explanation: a right triangle is 90 degrees so how I got 80 is 90-10=80 I might be wrong though

Andy and Jordan's are playing a game that involves tossing two dice numbered one to six, and recording the sum of the two how many different sums are possible? What is the greatest possible sum? I’ll mark u brainlesst or wtv it’s called

Answers

Answer:

there are 11 diffrent sums and the greatest sum is 12

Step-by-step explanation:

For every 8 tarts the bakery sells, 3 go to waste. They sell 40 in one week. How many go to waste?

Answers

Answer:

24

Step-by-step explanation:

8-3=5 good tarts per batch

40/5=8 batches

8*3=24 wasted

Please help!20 POINTS BRAINLIEST

Answers

Answer: The answer is 0.20

Step-by-step explanation:  To find a scale factor all you need to do is find the ratio of a side on the scaled shape to its corresponding side on the original figure.  We know the bottom of the scaled figure is 0.5 and the same side on the original rectangle was 2.5 so we can just divide like so...

0.5/2.5 = 0.2 which is our correct answer.  I hope this has been of use to you :)  If you have any other questions please do not hesitate to ask!

Drag each number to show whether it is equal to 50% , 0.2 , or neither

Answers

Answer:

Step-by-step explanation:

50% = 1/2, 0.5

0.2 = 2%

Other = 20%, 20/100, 1/5

Answer:

I put this, Its correct.

Step-by-step explanation:

50% : 1/2, 0.5.

0.2 : 20/100, 20%, 1/5.

Other : 2%

The equation of line CD is y = 3x - 3. Write an equation of a line perpendicular to line CD in slope-intercept form that contains point (3,1). Oy = 3x + 0 Oy = 3x - 8 Oy -x+ 2 Oy= y = x + 0​

Answers

Answer:

y = -1/3x + 2

Step-by-step explanation:

Given line

y = 3x - 3

Perpendicular lines have negative-reciprocal slopes, so the line will be:

y = -1/3x + b

Use the point (3, 1) to find b:

1 = -1/3(3) + b1 = -1 + bb = 2

The line is:

y = -1/3x + 2

The cell phone price was originally $457. It is now being sold for $318. State the change to the nearest percent


I really need help

Answers

Answer:

30.4%

Step-by-step explanation:

Given data

originally price $457

new price= $318

Required

The percent mark down

Percent markdown= original- new/original*100

substitute

Percent markdown= 457- 318/457*100

Percent markdown= 139/457*100

Percent markdown=0.304*100

Percent markdown=30.4%

Hence the price was reduced by 30.4%

WILL GIVE BRAINLIEST PLZZZ HELP

Answers

Answer:

1.5

Step-by-step explanation:

Cause the standard of the table and the multiplication of have 3a,0,5 will give you your answer.

1.5 is the answer I think ..

Hello, I would like to know how to solve this question. I’m having quite the trouble, so I would appreciate accuracy!

(8a^-3)^-2/3

Answers

I just want my points for 5 every answer I’ll give u the real answer if someone gave me brainlyist

Please help Me! I need to find the slope of this line!

Answers

Answer:

1/3

Step-by-step explanation

Find the ratio of two points, change in y over change in x.

Can someone help me with these 3 problems?

Answers

Answer: 1) 12.7

2) 67

3) 63.2

Step-by-step explanation:

Write an expression for the calculation subtract 10 divided into fifths from 20 divided in half.​

Answers

Answer:

(20 / 2) - (10 / 5)

Step-by-step explanation:

subtract (10 divided into fifths) from (20 divided into half)

= (20 divided into half) - (10 divided into fifths)

= (20 / 2) - (10 / 5)

If you need to solve the expression:

= 10 - 2

= 8

Hope this helps! :)

PLEASR HELP ASAP!!!!!!! i’ll mark brainlest

Answers

This should help ^-^
B: (1/2) exponent 5

That’s the answer I think

WILL GIVE BRAINLIEST!!!!!!!!
A substance decays 35% each day. After 8 days, there are 8 milligrams of the substance remaining. How many milligrams were there initially?
251 milligrams
3 milligrams
45 miligrams
126 milligrams

Answers

126 hope that helps :)))
126 milligrams hope this helped!

The piecewise function h(x) is shown on the graph.
What is the value of h(3)? Pls help!!

Answers

Given:

The graph of a piecewise function.

To find:

The value of h(3).

Solution:

We have, the graph of a piecewise function h(x).

The function is divided into two pieces. One is over the interval [tex]-4\leq x<1[/tex] and another one is over the interval [tex]-1\leq x\leq 4[/tex].

From the given graph it is clear that the function passes through the point (3,1). It means the values of the function is 1 at x=3.

[tex]h(x)=1[/tex] at x=3.

[tex]h(3)=1[/tex]

The value of h(3) is 1.

Therefore, the correct option is C.

Answer:

tis c

Step-by-step explanation:

Solve for z.
0.5 –
z
-5.3
0.5

Answers

Answer:

− z −  4.8  

Step-by-step explanation: was this the answer you needed? if not just delete it

the number of employees for a certain company had been decreasing each year by 8%. If the company currently has 860 employees and this rate continues, fund the number of employees in 19 years.

Answers

Answer:

approximately 684 employees

Step-by-step explanation:

So this is an exponential equation since there is a dividing decrease, not just subtracting. The standard equation is,

[tex]y = a(b)^{x} [/tex]. [tex]a[/tex] is initial value (860 employees) and [tex]b[/tex] is the change [tex]-8%[/tex] or [tex]0.92[/tex]. The [tex]x[/tex] would be the period of time, [tex]19[/tex]. This equation would be [tex]y = 860(0.92)^{19} [/tex].

After solving, the equation would become the following: [tex]y = 860(0.92)^{19} = 176.387242442≈176[/tex]. After subracting the number of lost employees from orginal employees ([tex]860-176=684[/tex]), we see that the company will have approximately 684 employees left after 19 years.

(Multiple choice/ Most Brainly will be rewarded)
Can I please have some help on this question.
(Zoom in if needed)

Answers

6a^5b-12a^3b^2
you want to multiply 3a^2 to each of the values inside the parentheses so it would be (3*2)(a^2*a^3)(b)-(3*4)(a^2*a)(b^2)
so (6)(a^2+3)(b)-(12)(a^2+1)(b^2)
and therefore the answer is 6a^5b-12a^3b^2
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