suppose that Y varies directly with X andY equals 12 when X equals -2 what is X when Y equals -6

Answers

Answer 1

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

A direct variation equation has the following format:

[tex]y=kx[/tex]

Where k is a constant.

We know that y is 12 when x is -2. Thus, substitute:

[tex]12=-2k[/tex]

Divide both sides by -2:

[tex]k=-6[/tex]

So, our direct variation equations is:

[tex]y=-6x[/tex]

To find what x is when y equals -6, substitute in -6 for y:

[tex]-6=-6x[/tex]

Divide both sides by -6:

[tex]x=1[/tex]

So, our answer is 1 :)


Related Questions

Mum bought a litre of orange juice. She filled 5 glasses and had 1/5 of a litre left. How much was in each glass?

Answers

1/5 of a litre is 0.2 litres
1 litre minus 0.2 litres is 0.8 litres so
0.8 divided by 5 (glasses) is 0.16 litres in each glass

Pam bought a stereo for $700 and made 36 payments of $26.32. How much
did she pay in interest?

Best answer gets brainliest

Answers

Answer:

$247.52

Step-by-step explanation:

36 x 26.32 = 947.52

947.52 - 700= 247.52

someone please help!

Answers

g (f(-3)) = -6 is your answer

Aliyah wants to estimate the value of the quotient of 5.68 x 10- and 8.54 x 10 Which statement about the value is true?
The value will be greater than 1 because (-3)+(-9) is a positive number. A number in scientific notation with a
positive exponent has a value greater than 1.
The value will be greater than 1 because (-3)-(-9) - 6. A number in scientific notation with a positive exponent is
greater than 1.
The value will be less than 1 because 5.88 - 8.54 is less than 1. The negative exponents will make it even smaller.
The number will be less than 1 because 5.68 x 10- is a very small number and division always makes the size of a
number smaller.

Answers

Answer:

B-The value will be greater than 1 because (negative 3) minus (negative 9) = 6. A number in scientific notation with a positive exponent is greater than 1.

Step-by-step explanation:

I hope I was helpful :)

30 POINTS!!!!!

Evaluate the expression for the given values...

Answers

Answer:

4.) -3x² - 5x + 7

- 3 * -2 * -3 * -2

+6 * +6 - 5 * -2

36 - (+10)

36 - 10 = 26

5.) 3x² - 7y²

3 * x  X  3 * x - 7 * y X 7 * y

3 * 2 X 3 * 2 - 7 * 3 X 7 * 3

6 * 6 - 21 * 21

36 - 441 = -405

6.) 4(x - 2y)

   ________

       x + y

   4 * x - 4 * 2 X y

  _____________

    x + y

  4 * 4 - 4 * 2 X -2

 16 - (+16)

 16 - 16 = 0

7. π + x√3y

  22/7 + -3√15

                3094

                _____

  22/7 + -11

                5000

      2380

= -8 ______

      5000

       

Step-by-step explanation:

Please mark me as brainliest

HELP ME!!
1. What is a variable?
2. Solve the following equations:
3x + 6 - X + 82 = 44
Show your work for the equations.

Answers

A variable is a letter that represents another number or thing.

Steps to solve:

3x + 6 - x + 82 = 44

~Combine like terms

2x + 88 = 44

~Subtract 88 to both sides

2x = -44

~Divide 2 to both sides

x = -22

Best of Luck!

If 5y + 2 = 8/3, what is the value of 5y - 6?

Answers

Answer:

5y - 6 = (-16)/3

Step-by-step explanation:

1. Step:

Solve for y:

5 y + 2 = 8/3

Subtract 2 from both sides:

5 y + (2 - 2) = 8/3 - 2

2 - 2 = 0:

5 y = 8/3 - 2

Put 8/3 - 2 over the common denominator 3. 8/3 - 2 = 8/3 + (3 (-2))/3:

5 y = 8/3 - (2×3)/3

3 (-2) = -6:

5 y = 8/3 + (-6)/3

8/3 - 6/3 = (8 - 6)/3:

5 y = (8 - 6)/3

8 - 6 = 2:

5 y = 2/3

Divide both sides by 5:

y = (2/5)/3

3×5 = 15:

Answer:  y = 2/15

2. Step.

Evaluate 5 y - 6 where y = 2/15:

5 y - 6 = 5×2/15 - 6

5×2/15 = (5×2)/15:

(5×2)/15 - 6

5/15 = 5/(5×3) = 1/3:

2/3 - 6

Put 2/3 - 6 over the common denominator 3. 2/3 - 6 = 2/3 + (3 (-6))/3:

2/3 - (6×3)/3

3 (-6) = -18:

2/3 + (-18)/3

2/3 - 18/3 = (2 - 18)/3:

(2 - 18)/3

2 - 18 = -(18 - 2):

(-(18 - 2))/3

| 1 | 8

- | | 2

| 1 | 6:

Answer:  (-16)/3

what is the answer to this equation -3-6x =9

Answers

Answer: la respuesta es -57

Step-by-step explanation:

Answer:

-57 and sorry if wrong

Step-by-step explanation:

40 percent in to fraction decmal​

Answers

Answer:

0.4 hope this helps

Step-by-step explanation:

Answer:

Well 40 percent is 2/5 as a fraction and 2/5 as a decimal is 0.4

Step-by-step explanation:

plz solve this question immediately​

Answers

squaring both sides
squaring both sides

cos2+sin2+2cossin=1
cos
2
A
+
sin
2
A
+
2
cos
A
sin
A
=
1

⟹1+2cossin=1⟹2cossin=0

1
+
2
cos
A
sin
A
=
1

2
cos
A
sin
A
=
0

⟹−2cossin=0⟹1−2cossin=1


2
cos
A
sin
A
=
0

1

2
cos
A
sin
A
=
1

⟹cos2+sin2−2cossin=1

cos
2
A
+
sin
2
A

2
cos
A
sin
A
=
1

⟹(cos−sin2)=1

(
cos
A

sin
A
2
)
=
1

⟹cos−sin=±1

A seagull is floating on the surface of the ocean when it takes off and flies upward at a rate of 4 ft per second. After 19 seconds, how far away from the surface of the water will the seagull be?

Answers

Answer:

d = 76 m

Step-by-step explanation:

It is given that, the speed of 4 ft per second when it takes off and flies upward

We need to find how far away from the surface of the water will the seagull be after 9 seconds.

Speed is distance over time.

So,

Distance, d = vt

d=4 ft/s × 19 s

d=76 meters

So, the seagull will be at a distance of 76 m from the surface of water.

Name all rays ,point and line segment

Answers

Answer:

ratious and axuas

Step-by-step explanation:

Answer:

S & Q are points

R is a ray

SR & RQ are line segments

Step-by-step explanation:

Help me please!!!!!!!!

Answers

Answer:

The first part/question sounds like a Division problem because theirs 18 guests and each slice feeds 6 people. Therefore, Laura orders 3 boxes of Pizzas. But make sure you try Photomath,V3, or Khan Academy apps before you write down the answer to the first question.

simplify 4+3(7+4 x 2)-100
Solve this

Answers

4+3(7+4 x 2)-100
4+3(7+8)-100
4+3(15)-100
4+45-100=
-51

(7+4x2) = 15
4+3+15-100= -51

ANSWER IS -51

3[-X + (2 x + 1)] = x - 1
X=?

Answers

Answer: -2

Step-by-step explanation: 2x/2 = -4/2

x = -2

EXPLAINATION
3(-x+2x + 1)= x - 1
3(x+1) = x - 1
3x + 3 = x - 1
3x - x = -1-3
2x = -4 *DIVIDE BOTH SIDES*
x = -2

Can someone help me please​

Answers

Step-by-step explanation:

kindly see attached picture

hope it helped you:)

Answer:

[tex]\sf \dfrac{{x}^{a \: (b - c)} }{ {x}^{b \: (a - c)} } \: \div \: \bigg \lgroup \dfrac{ {x}^{b} }{ {x}^{a} } \bigg \rgroup^{c} \: = \: 1[/tex]

[tex]\\[/tex]

Now,

[tex]\sf \dfrac{{x}^{ab \: - \: ac} }{ {x}^{ba \: - \: b c} } \: \div \: \bigg \lgroup \dfrac{ ({x}^{b} )}{( {x}^{a}) } \bigg \rgroup^{c} \: = \: 1[/tex]

[tex]\\[/tex]

[tex]\sf \dfrac{{x}^{ab \: - \: ac} }{ {x}^{ba \: - \: b c} } \: \div \: \dfrac{ {x}^{bc} }{{x}^{ac} } \: = \: 1[/tex]

[tex]\\[/tex]

We know that, When sign change from division to multiplication we should do reciprocal of next number.

Therefore we get,

[tex]\sf \dfrac{{x}^{ab \: - \: ac} }{ {x}^{ba \: - \: b c} } \: \times \: \dfrac{ {x}^{ac} }{{x}^{bc} } \: = \: 1[/tex]

[tex]\\[/tex]

[tex]\sf \dfrac{{x}^{ab \: - \: \cancel {ac }\: + \: \cancel{ac}} }{ {x}^{ba \: - \: \cancel{ b c} \: + \: \cancel{bc}} } \: = \: 1[/tex]

[tex]\\[/tex]

[tex]\sf \dfrac{{x} \: ^{ \cancel{ab}} }{ {x} \: ^{\cancel{ba}} } \: = \: 1[/tex]

[tex]\\[/tex]

[tex] \bigstar \: \: \underline{ \boxed{\sf x \: = \: 1}} \: \: \bigstar[/tex]

[tex]\\[/tex]

[tex] \huge\bf \dag \: \gray{RHS = LHS} \: \dag[/tex]

[tex]\\[/tex]

[tex]\large \star \: \tt Hence, Verified \: \star[/tex]

Simplify the following numerical expression as much as possible: 53*25= ?

Answers

Answer:

1325

Step-by-step explanation:

53 * 25 =

   Break it apart to solve without a calculator

5 * 25 = 125 and we add a 0 because it's 50 * 25 so 1250

now multiply 3 * 25 = 75

Add them

1250 + 75 = 1325

You can't simplify further.

Answer:

1325

Step-by-step explanation:

53 * 25 = 1325

That's as simple as you can get

Choose all of the expressions that are equal to −9. the opposite of nine −|9| |−9| −|−9| −(−9) the distance from zero to nine

Answers

Answer:

−|9| = -9

−|−9| = -9

Step-by-step explanation:

−|9| = -9

|−9| = 9

−|−9| = -9

−(−9) = 9

PLEASE HELP!!! One step equation... solve by division b/7=5

Answers

Answer:

b = 35

Step-by-step explanation:

[tex]\frac{b}{7} =5\\Multiply\: through\: by\: 7\\\\7(\frac{b}{7} ) =5\times 7\\\\b = 35[/tex]

Answer:

multiply both side of the equation by 7.

7 x b/7 = 7 x 5

cancel common factor of 7

b = 7 x 5

b = 35

let x = 4, Evaluate 3x+4x2-8​

Answers

Answer:

12

Step-by-step explanation:

A lamp pole with a height of 10 ft casts a shadow of 3 ft. What is the height of a building that casts a shadow of 15 ft at the same time?

Answers

Answer: it should be 20ft

Step-by-step explanation:

Please help I will give out brainliest

Answers

Answer:

upper bound = 112.5

lower bound = 111.5

Step-by-step explanation:

x = 360 - 59 - 108 - 81

x = 112°

upper bound =  112.5 < 113

lower bound = 111.5 < 112

so

L.B.           U.B.

111.5 < 112 < 112.5

Answer:

upper bound = 112.5

lower bound = 111.5

Step-by-step explanation:

x = 360 - 59 - 108 - 81

x = 112°

upper bound =  112.5 < 113

lower bound = 111.5 < 112

so

L.B.           U.B.

111.5 < 112 < 112.5

Elisa swim laps in the pool. When she first started, she completed 10 laps in 25 minutes. Now she can finish 12 laps in 24 mins. By how many minutes has she improved her lap time?

Answers

Answer:

I think one minute

Step-by-step explanation:

she can now complete 2 laps in one minute

is negative pi 17 a natural number

Answers

Answer:

No.

Step-by-step explanation:

π is a irrational number; therefore, π × 17 is also irrational number.

Can u guys PLEASE answer this question ASAP. A fat cat that was initially 12 kg reduces its weight by 10% each month. How long does it take for the cat to be at least 6 kg lighter than its original weight? Give your answer as a whole number of months.

Answers

Answer:

It takes at least 7 months for the cat to be at least 6 kg lighter than the original weight.

Step-by-step explanation:

Use exponential decay formula:

A = P (1-r)t

A = amount decreased to

P = original amount

r = rate of decrease

t = time

 

6 ≥ 12 (1-0.10)t      divide both sides by 12

0.5 ≥ (0.9)t            take log of both sides

log (0.5) ≥ log (0.9)t     power rule of logs lets the exponent t drop to front of log to become a factor

log (0.5) ≥ t log(0.9)     divide both sides by log(0.9) which is negative so reverse the inequality sign

log (0.5) / log (0.9) ≤ t     use calculator

6.57 ≤ t

 

It takes at least 7 months for the cat to be at least 6 kg lighter that original weight.

 

check:

12 (0.9)7≈ 5.73

12 (0.9)6 ≈ 6.37

Solve -2.4x + 3.8x- x

Answers

Answer:

Step-by-step explanation:

1.4x - x = 0.4x

A __ is as polynomial with two terms.

Answers

Answer:

Bionominal

Step-by-step explanation:

Question:

A ____ is a polynominal with two terms.

Answer:

A Bionominal is a polynominal with two terms.

Bionominal is your answer.

Hope this helps!

I need help please !!!!!

Answers

15- 16 yd

16- 12 cm

17- 49 mi

18- 14 ft

Simplify 3(5x + 9 - 4x)

Answers

15x+28-12x
3x+28
Hope this helps
Take the three and distribute it to every number in the parentheses, you should have 15x + 27 - 12x, now you want to bring the -12x on the other side to make things easier and now you should have -12x + 15x + 27, quickly add the -12x and the 15x to get 3x, now you should have 3x + 27, you can’t really manipulate this in any other way shape or form so this should be your simplification. I hope this was of use to you ^_^

look at image. reflection across y= -1​

Answers

Answer:

 Y 2,1   X 0,1    W 0,4   Z 3,5  will be the new reflected points

Step-by-step explanation:

Other Questions
Explain why parents and children don't look exactly alike by posting on the discussion board. Use the vocabulary words: chromosomes, DNA, inherited traits, and mutations in your explanation. If 8b-9=b then 7b=?Please answer if you can!Also its NOT 1.5 Chris is delivering a speech verbatim without the use of any notes. What delivery technique is he using? what quadrant would (0,4) be in plz help I will mark you brainlist plz help How could a reader determine a denotation for an unknown word or phrase? PLeasseee hellpp it is late What nutrients, or matter, must pass through the cytoplasm to reach the cell structures that make up a cell? . Make a list of all the individuals, institutions, and circumstances that have power over you. For each item, write a brief description of how it has power over you. Which region of the state is known primarily for its production of citrus fruits and vegetables?A) Gulf Coast regionB) Central CorridorC) Border areaD) Plains regio Why did Mongols have a more egalitarian culture? What are 4 examples of limited government? How does Washingtons greatest fear -that he would die in office- evidence is putting the public good ahead of his own interests? Which of the following statements about tax rate structures is true? A. Regressive rate structures are illegal in the United States. B. A tax with a graduated rate structure must be either regressive or progressive. C. A proportionate rate structure is the only structure resulting in vertical equity. D. None of the above is true. Find an equation of the sphere that passes through the origin and whose center is (-2, 2, 3). Be sure that your formula is monic. Equation: (x+2)^2+(y-2)^2+(z-3)^2 = 0 What is the theme of tell tale heart? By Edgar pole What is meant by the nadir of race relations? un parrafo formal sobre como en ciberacoso afecta a los jovenes What is the most important thing you could do to improve your health? Why? Which form of emission is commonly not written in nuclear equations because they do not affect charges, atomic numbers, or mass numbers?