1. If y varies directly as x, and y=8 when x=4. Find y when x=10, the constant of variation and the equation of variation.

2. If y varies directly as x, and y= 0.9 when x= 0.3. Find y when x= 1.5, the constant of variation and the equation of variation.

3. If y varies inversely as, and y= 10 when x=1/2. Find x when y= 3, the constant of variation and the equation of variation.

4. If v varies jointly as w and u, and v=14 when w=7 and u=13. Find v when w=3/4 and u=6, the constant of variation and the equation of variation.

5. If m varies directly as n and inversely as p and m=9 when n=2 and p=1/3. Find m when n=1/2 and =1/3, the constant of variation and the equation of variation.​

Answers

Answer 1

1. This is a ratio question in disguise.

By parts of the question: "When y varies directly with x" -> y/x

"if y=8 when x=4" -> y/x = 8/4

"how do you find y when x=5" -> y/x = 8/4 = y/5

so  -y  = 8x5/4 = 10

That's all i got..


Related Questions

Need help quickly please

Answers

Step-by-step explanation:

just want your ponit hahahaHA

7) Sarawong spent half of his weekly allowance on candy. To earn more money his parents let him wash the dog for $6.10. What is his weekly allowance if he ended with $11.40?

Answers

Answer:

$10.60

Step-by-step explanation:

Sarawong ends with $11.40, and we need to find his weekly allowance by working backward. First, we learn that he earned $6.10 of that total amount of money by washing the dog, so we can subtract the two values:

11.4 - 6.1 = 5.3

So, before washing the dog, Sarawong had $5.30. But he only received this after spending half of his weekly allowance, so $5.30 must be half of his weekly allowance. If we multiply $5.30 by 2, we should be able to find his weekly allownce.

5.3 × 2 = 10.6

Now, we can check our work. First, he spends half of his weekly allowance on candy. Half of 10.6 is 5.3, so he now has $5.30. Then, he earns $6.10 more by washing the dog. 5.3 + 6.1 = 11.4, which is the ending value. So, our work was correct! Hopefully that's helpful. :)

The table shows a function. Is the function linear or nonlinear?

Answers

Answer:

nonlinear

Step-by-step explanation:

Which equation represents the function f(x) = (1. 6)x after it has been translated 5 units up and 9 units to the right? g(x) = (1. 6)x 5 â’ 9 g(x) = (1. 6)x 5 9 g(x) = (1. 6)x â’ 9 5 g(x) = (1. 6)x 9 5.

Answers

The equation that represents they function f(x) = (1.6)^x after it has been translated 5 units up and 9 units to the right is;

g(x) = [(1.6)^(x - 9)] + 5

We are given the function;

f(x) = (1.6)^x

Now,when we translate a function 9 units to the right, it means that we will subtract 9 from the x unit to give;

g(x) = (1.6)^(x - 9)

Now, when we translate it 5 units upwards, it means we are adding 5 to f(x). Therefore, we now have;

g(x) = [(1.6)^(x - 9)] + 5

Read more on translation of graphs at; https://brainly.com/question/11468584

5p coins weigh approximately 3 grams
what would the weight of £5 worth of 5p coins ?
give your answer in kg

Answers

Answer:

0.3kg(300g)

Step-by-step explanation:

£1=100p

£5=500p

5p=3g

500p=x

x=500*3/5

x=300g

Step-by-step explanation:

£5 in pence is 500p

The number of 5p coins in 500p is:

500/5 = 100 (5p coins)

each 5p coin weighs 3g

therefore the £5 weighs in grams:

3x100 = 300g

To change to Kg: 300/1000 = 0.3 Kg

Can someone help me with this one I would appreciate it very much!!

Answers

Answer:

12.5 pounds

Step-by-step explanation:

16 ounces = 1 pound

200 ounces = 1 × 200/16 = 12.5 pounds

PLZ HELP
Use the distributive property to remove the parentheses.​

Answers

Answer:

I don't know if i did this correctly because i can't find my notes but i hoped i helped.

Step-by-step explanation:

Find the m, b, and write the equation for the following graph:

Answers

Answer:

y=3

Step-by-step explanation:

m=0

b=3

Calculate the speed of an object from 0-1 sec.

Answers

Answer:

. 2 m/s

Step-by-step explanation:

Speed is defined as the rate of change in distance per time.

in this case you can simply observe the graph to get the final and initial distances & time.

The motion starts from 0 and moves to 2 if you look at the y axis of the graph.

Thus, the initial distance is 0m & the final distance is 2m

The time is specified in the question to have an initial of 0 sec and a final of 1 sec.

now let's plot our values out as a given.

S1 = 0m t1 = 0 sec

S2 = 2m t2 = 1 sec

and so you're going to have to find the change in time and displacement individually to later engage both in your formula which is - ∆V = ∆S / ∆t

∆S = S2 - S1 = 2m - 0m = 2m.

∆t = t2 - t1 = 1 sec - 0 sec = 1 sec.

∆V = ∆S / ∆t = 2m / 1 sec = 2m/sec (2m/s)

Which type of laboratory is not required to have coved floors (where the floor runs continuous for the wall for a few inches)

Answers

The type of laboratory that is not required to have coved floors is a BSL2.

Safety in laboratories is measured through the Biosafety Level scale. This scale evaluates how much protection do people working in the laboratory need to avoid any risks while working with pathogens or toxins.

This scale goes from 1 to 4 and the 4 level represents labs in which extremely dangerous pathogens are studied, and therefore labs with the highest safety protocols.

In this context, coved floors are not required for labs classified in Biosafety level 2 because in these labs pathogens have only a moderate risk, therefore some precautions such as the coved floors are not required.

Learn more about labs in: https://brainly.com/question/14428286

Plz help ToT I'm horrible at math

Answers

Answer: 126

Step-by-step explanation:

A=2(wl+hl+hw)

Solve for C: C-9(greater than or equal too sign)9

Answers

Answer:

[tex]{ \tt{C - 9 \geqslant 9}} \\ \\ { \tt{C \geqslant 9 + 9}} \\ \\ { \rm{answer}} : \: { \tt{C \geqslant 18}}[/tex]

PLEASE HELP ASAP! I WILL GIVE BRAINLIEST JUST PLEASE HELP

Answers

Answer:

38cm squared

Step-by-step explanation:

what cubed is equal to 1000?

Answers

Answer:

10

Step-by-step explanation:

HELP ASAP NO LINKS PLS (OR THEY WILL BE REPORTED) SIMPLE ANSWER PLS


Give two systems of equations that would be easier to solve by substitution than by elimination. Then give two systems that would be easier to solve with elimination. Finally, explain how you decide whether to use elimination or substitution to solve a system.

Answers

Answer:

These techniques for elimination are preferred for 3rd order systems and higher.  They use "Row-Reduction" techniques/pivoting and many subtle math tricks to reduce a matrix to either a solvable form or perhaps provide an inverse of a matrix (A-1)of linear equation AX=b.  Solving systems of linear equations (n>2) by elimination is a topic unto itself and is the preferred method.  As the system of equations increases, the "condition" of a matrix becomes extremely important.  Some of this may sound completely alien to you.  Don't worry about these topics until Linear Algebra when systems of linear equations (Rank 'n')  become larger than 2.

Step-by-step explanation:

Just to add a bit more information, "Elimination" Can have a variety of other interpretations.  Elimination techniques typically refer to 'row reduction' to achieve 'row echelon form.'  Do not worry if you have not heard of these terms.  They are used in Linear Algebra when referring to "Elimination techniques"

 

Gaussian Elimination

Gauss-Jordan Elimination

LU-Decomposition

QR-Decomposition

 

These techniques for elimination are preferred for 3rd order systems and higher.  They use "Row-Reduction" techniques/pivoting and many subtle math tricks to reduce a matrix to either a solvable form or perhaps provide an inverse of a matrix (A-1)of linear equation AX=b.  Solving systems of linear equations (n>2) by elimination is a topic unto itself and is the preferred method.  As the system of equations increases, the "condition" of a matrix becomes extremely important.  Some of this may sound completely alien to you.  Don't worry about these topics until Linear Algebra when systems of linear equations (Rank 'n')  become larger than 2.

 

Substitution is the preferred method for 2 equations in 2 unknowns.  The constants are unimportant other than having a non-zero determinant.  It is always easy to find multiplicative factors using LCMs of one variable or the other to allow substitution into the other equation:

 

Example:

 

4X + 5Y = 9

5X -  4Y = 1

 

Notice that 20 is a LCM of either the X or Y variable.  So multiply the first by 4 and the second by 5 and then adding the two (Y's will drop out allowing for substitution)

 

4(4X + 5Y = 9)

5(5X -  4Y = 1)  

 

Multiplying to produce the LCM factors:

 

16X + 20Y = 36

25X -  20Y = 5

 

Adding the equations

 

41X = 41

X = 1

 

Substitution into either equation yields

Y = 1

 

Elimination techniques are preferred for Rank-n>3

Answer:

I like the view

There are 36 boys for every 54 girls

Answers

Answer:

2 : 3 is ur ratio

Step-by-step explanation:

Answer:

2 : 3 is ur ratio

Step-by-step explanation:

Veronica tried to solve an equation step by step.

8 = y - 4.6

8 + 4.6 = y - 4.6 +4.6 Step one

12.6 = y step two

Which step is wrong or are no steps wrong?

Answers

No steps are wrong. To solve this equation, you need to isolate the y. So, you would add 4.6 to both sides to cancel out the 4.6 on the right side and isolate the y.

Please help me with this

Answers

Answer:

A and F

Step-by-step explanation:

A man has 25 sweets and his son has 55 sweets.find the number of sweets that the man has to give to his son so that his son would have 4times as many sweets as him.

Answers

Sweets man has to give is x
Man's sweets = 25 - x
The boy's sweets = 55 + x
This number is 4 times

55 + x = 4(25 - x)
55 + x = 100 - 4x
55 - 100 = -4x - x
-45 = - 5x
45 ÷ 5 = x
6.67 = x
6.67 ≈ 7
the man gives 7 sweets to the son so the son would have 4 times as much as the father

Answer:

9sweets

Step-by-step explanation:

sweets man has to give to his son=x

mans sweets=25-x

child's sweets=55=x

55+x=4(25-x)

55+x=100-4x

4x+x=100-55

5x=45

x=45/5

x=9

Answer: The man has to give nine sweets for his son to have four times as many sweets as him.

How many ink cartridges can you buy with 225 dollars if
one cartridge costs 15 dollars ?

Answers

Answer:

The answer is 15!

Step-by-step explanation:

225 divided by 15 is 15! Hope this helps! :)

-2x(-3x +2)- (x+2)2
giúp tôi với!

Answers

Answer:

-32 or 4x -8

Step-by-step explanation:

-2 ( -3x + 2 ) : 6x - 4

= 6x -4 - 2 ( x + 2 )

- 2 ( x + 2 ) : - 2x -4

=6x - 4 - 2x - 4

= 6x -2x - 4 - 4

= 6x - 2x - 8

= 4x - 8

= -32  

( Im not really sure what is the answer )

( the "x" is alphabet, not "times" )

Ok done. Thank to me :>

48/?=6

56/?=8

Help me!

Answers

3. the answer is 8

6. the answer is 7

Answer:

48/8=6

56/7=8

Step-by-step explanation:

48÷ 8 = 6

56÷ 7 = 8

Write a compound inequality that the graph could represent.

Answers

Answer:

k < -4 or k > 13

Step-by-step explanation:

Let's take a look at the graph, we can see that the arrows point towards both directions, both dots are open, meaning that we can only have < and > signs. We can see that the arrow pointing to the left contains numbers that are less than -4, so that part of the compound inequality must be k < -4. And on the other side, they are numbers that are greater than 13, so that part must be k > 13. Thus, the answer must be d.

Hopes this helps.

what is pls help someone with the problem?2x + 3 = 9

Answers

Answer:

3

Step-by-step explanation:

2x+3=9

2x=9-3

2x=6

2    2

x=3

Answer: x = 3

Step-by-step explanation: 2x+ 3= 9

                                             2x +3 -3 = 9 - 3

                                             2x = 6

                                             2x/2 = 6/2

                                             x = 3

how to turn 18/48 into the power of 10 please tell the answer as soon as possible, it's for my semester

Answers

1. You can do this 18/48x18/48x18/48x 18/48 and so on. X is not a variable
2. You can write down a power or in text you use a carrot or a ^ and write 18/48^10

Which expression is equivalent to 5 EXPONENT 4 X5 EXPONENT NEGITIVE 4

Answers

Answer:

1

Step-by-step explanation:

5⁴ * 5 ⁻⁴ = 5⁴⁻⁴ =5⁰ =1

or

5⁴ * 5 ⁻⁴ = 5⁴ / 5⁴ =1

PLEASE NO LINKS AND NO NEGATIVITY

Answers

Answer:

8.9k

Step-by-step explanation:

Perimeter is the area around the object.

1.8k - 5 + 3.5 + 6.1k + k + 1.5

Combine like terms:

1.8k + 6.1k + k = 8.9k

-5 + 3.5 + 1.5 = 0

Therefore 8.9k is the answer. You dont need to include the +0 because it will not add anything to the answer. In the most simplified form, the answer is 8.9k

Hope that helps

Answer:

Step-by-step explanation:

7m 28cm ÷8= something cm

Answers

Answer:

4cm

Step-by-step explanation:

it this the answer you were looking for?

Answer:

91cm

Step-by-step explanation:

7m to cm =700m

28cm+700cm=728cm

728cm/8=91cm

Anna saved $20 in a jar each month for 2 1/2
years. She spent 75% of her savings on a computer. How much money did Anna have left in the jar?

Answers

Answer:

20*2.5=50

50*0.75=37.5

Hope This Helps!!!

Answer:270

Step-by-step explanation:

Brody worked 8.5 hours at Food Lion this week and made $78.20. Based on the number of hours Brody worked and how much he was paid, how much money does Brody make per hour

Answers

Answer:

1 hour = $9.2

Step-by-step explanation:

The question says that:

Brody makes $78.20 in 8.5 hours.

So,

8.5 hours = $78.20

We need to find 1 hour pay.

So, divide both sides of the above equation by 8.5

8.5 / 8.5 hours = $78.20 / 8.5

1 hour = $9.2

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807
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