if x varies directly as y, and y=6 when x=27, find x when y=2

Answers

Answer 1

Answer:

x = 9

Step-by-step explanation:

Given y varies directly as y then the equation relating them is

x = ky ← k is the constant of variation

To find k use the condition y = 6 when x = 27

27 = 6k ( divide both sides by 6 )

4.5 = k

x = 4.5y ← equation of variation

When y = 2 , then

x = 4.5 × 2 = 9


Related Questions

NEED HELP NOW
The area of Jordan’s yard can be modeled by the expression 3x2 – 2x + 1. Jordan purchases additional land from his neighbors. The area of this land can be modeled by the expression 4x2 + 3x + 7. Which expression represents the new area of Jordan’s yard?

A.
x2 + 5x + 6

B.
x2 + x + 8

C.
7x2 + x + 8

D.
7x2 + 5x + 6

Answers

Answer:

7x^2 + x + 8

Step-by-step explanation:

here's your solution

=> The model of Jordan yard = 3x^2 - 2x + 1

=> The model of new yard = 4x^2 + 3x+ 7

=> now, for total area we need to add both

=> 4x^2 + 3x^2 + 3x - 2x + 7 + 1

=>7x^2 + x + 8

hope it helps

Solve
4x+3y=-2
3x + 5y = 15

Answers

Answer:

x=-5 y=6

Step-by-step explanation:

Multiply the first by 3 and the second by -4

Then add them. Y will be 6

Put 6 for y in the first one and youll find x=-5

if anyone knows help :]

Answers

Angle EBD and Angle DBE are adjacent

Triangle congruence and similarity. PICTURE INCLUDED* SAS, SSS, ASA, or AAS

Answers

Answer:

Yes. SSS

Step-by-step explanation:

The dilation factor is to multiply by 3, from the smaller to larger triangle. This proves they are similar.

AA is not an accurate postulate.

All of the following expressions are equivalent except
O x-7
0 7+(-x)
O-X+7
07-x

Answers

All of the following expressions are equivalent except x-7

What is the perimeter of the given rectangle?

Help need by 6pm

Answers

Answer:

110

Step-by-step explanation:

25+25+30+30 = 110

hope this helps

The perimeter = 25+25+30+30 = 110

Grade 10 math help please show work

Answers

Answer:

∅ = 1.91°

Step-by-step explanation:

sin ∅ = 10/300 = 0.0333

∅ = 1.91°

11.49 for 3 packages ​

Answers

Answer: $3.83 per package

Step-by-step explanation:

Simply you need to use division

Divide 11.49 by 3

11.49/3

To which you will get

$3.83

GUYS HELP HELP HELP PLEASE HELP

Answers

i think it’s impossible and yeah that’s all ik but fs impossible is part of it

Plz helpppppppppppppp plzplzplz​

Answers

Answer:

Rs. 26,620

Step-by-step explanation:

20,000 * [tex]1.1^{3}[/tex]

where 1.1 is 10%, because each year it would increase by 1.1

and period 3 is number of years

What is the length of a diagonal of a square with a side length of 6?
A. 3
B. V3
C. 3.V2
D. 62

Answers

i think that the answer is D

GIVING BRAINLIEST PLEASE HELP!!!

Answers

please give me the brainliest.

Answer:

help you with what?

Step-by-step explanation:

​Calculate the bond energies that correspond to arrows A, B and C in the diagram:

Answers

Answer:

Parted = farted and pooed, wafflebox = person who waffles (talking about random things), gogglebox = person who stares at people, battery brain = person who uses drugs. You might want to use these words so no one knows what you are talking about and you can talk about people badly without them knowing

Step-by-step explanation:

6.
Write an equation of a line with the given slope and y-intercept.
m = (4)/(5), b = 2

A. y= (4)/(5)x - 2

B. y= (4)/(5)x + 2

C. y= (5)/(4)x + 2

D. y= 2x + (4)/(5)

Answers

Answer:

B. y= (4)/(5)x + 2

Step-by-step explanation:

Use the slope-intercept form  

y = m x + b  to find the slope  m  and y-intercept  b .

Slope:  

5

3

y-intercept:  ( 0 , − 2 )

do you think, in ur own opinion? do you think all lives matter or only blm?

I would say alm and blm but I want to hear from you! :)

Answers

Answer: when a black person heard u say all lives matter they would absolutely hurt you don’t ever say that infront of a colored one

Step-by-step explanation:

Answer:

i thnik all lives matter

Step-by-step explanation:

yo can someone do this for me ty i’m too lazy to do this myself

Answers

Answer:

1. 8 + 4 = 12 x 6 = 72

2. 9 + 6 = 15 x 4 = 60

3. 11 + 8 = 19 x 6 = 114

4. 4 + 6 = 10 x 5 = 50

5. 7 + 3 = 10 x 8 = 80

6. 8 + 12 = 20 x 9 = 180

7. 5 + 10 = 15 x 8 = 120

8. 19 + 13 = 32 x 10 = 320

9. 3 + 6 = 9 x 2 = 18

Area of a trapezoid:

Base 1 + Base 2 times Height times a half (basically dividing by 2).

Which equation is modeled on the number line?
A -7 -− 10 = -17 B 7 -− 10 = -3 C 7 -− (-10) = 17 D -7 -− (-10) = 3

Answers

Answer:

Option D

Step-by-step explanation:

For addition we move right on the number line and for subtraction we move left.

So, (-7) represents a 7 units to the left from the zero.

Then move 10 units right from (-7),

Therefore, (-7) + 10 = 3

Or (-7) - (-10) = 3

Option D is the correct option.

Help me pleaseeeeeee

Answers

Answer:

56

Step-by-step explanation:

Answer:

i think it is 56 if it is wut i think it is

Step-by-step explanation:

a man makes a profit 15% by selling an article for rs.250. for what amount should he sell it to make profit of 38%​

Answers

Answer:

$300

Step-by-step explanation:

original price = $250

the profit= 15%

ok now let the cost price of article be ₹ x

x + 15% of x = 250

1.15x = 250 => 115x ÷ 100 = 250

115x = 25000 => x = 25000 ÷ 115

x = 5000/ 23

cost price of article = ₹5000/ 23

required profit = 38%

= 38% of 5000/ 23 = 0.38 × 5000/ 23

= 1900/ 23

the required will be selling price to gain about 38%

= cost price + required profit which is

= (5000/ 23) + (1900/ 23)))

= 6900/ 23 = $300

Answer:  now its required selling price = $300

Plz provide more information!

HELP ME PLEASE I NEED IT NOW

Answers

slope: 3/4
y: (0,-3)
X: (4,0)
Slope=0
I need more letters apparently so hello.

Anna buys 6 bottles of pineapple juice at the corner store for a total cost of $4.50.
Assume each bottle of juice is the same price. If c represents the total cost in dollars
and cents of the juice for any number, j, of bottles of juice, write a proportional
equation for c in terms of; that matches the context.

Answers

Answer:

c = 0.75j

Step-by-step explanation:

divide $4.50 by 6 to find the price of one bottle of pineapple juice

4.50/6 = 0.75

each bottle of pineapple juice is 75 cents each

c = 0.75j

Divide 63 ml in the ratio 2:3:4

Answers

Answer:

21ml/2

Step-by-step explanation:

which is bigger 1/8 or 0.15?

Answers

Answer:

1/8 is bigger sike

Step-by-step explanation:

What is the value of 5/6+(-4/9)-(-2)​

Answers

First off, you have to find a common denominator between 6 and 9 which is 18, so to rewrite your equation using the common denominators it would be 15/18+(-8/18)-(-36/18) when you combine these it equals (7/18)-(-36/18)=43/18

Sebastion's pan has the length of 10/3 inches, a width of 8/4 inches and a height of 3/2 inches. What is the volume of her pan

Answers

Answer:

10 in³

Step-by-step explanation:

Length = 10/3 inches

Width = 8/4 inches = 2 inches

Height = 3/2 inches

Volume = Length * width * height

Volume = 10/3 * 2/1 * 3/2

Volume = (10*2*3) / (3*1*2)

Volume = 60/6

Volume = 10 in³

Does anyone know this answer??
Choices- 333.50, 63.50, 153.50, 166.75

Answers

Answer: 153.50

180-13.25-13.25 = 153.50

The two acute angles are the same so look for the obtuse.

Answer:

153.50

Step-by-step explanation:

Sum of all interior angles of a triangle is 180°.

Option(1): 333.5 is much greater than 180(sum of all angles). 333.5 + 13.25 + angle P = 180, for all +ve values of angle P.

/_P = 180° - 13.25 - 333.5 , /_P is -ve from this which is impossible(for an angle in triangle)

This is incorrect.

Option(2): As it can observed, /_ R is much greater than 90°. It means, it should be greater than 63.50°.

This is incorrect.

Option(3): 153.50 is greater than 90°. Moreover, if /_ R is 153.5, let /_P be x, then,

=> 13.25 + 153.50 + x = 180°

=> x = 13.25. , which is +ve

So we can say /_P = 153.50

Option(4): if /_ R is 153.5, let /_P be x, then,

=> 13.25 + 166.75 + x = 180°

=> x = 0 , which is impossible(as we can see It's not 0)

Incorrect.

What interval consists of all $u$ such that neither $2u$ nor $-20u$ is in the interval $(-\infty,-1)$ ?

Answers

Answer:

[-1/2,1/20]

Step-by-step explanation:

Answer:

[-1/2,1/20]

Step-by-step explanation:

In terms of inequalities, we are asked to find all $u$ such that $2u\ge -1$ and $-20u\ge -1$.

The solution to the first inequality, obtained by dividing both sides by $2$, is $u\ge -\frac{1}{2}$.

We can solve the second inequality by dividing both sides by $-20$, but because we are dividing by a negative number, we must reverse the direction of the inequality: $u\le \frac{1}{20}$.

The set of $u$ which satisfy both inequalities simultaneously is thus $\boxed{\left[-\frac{1}{2},\frac{1}{20}\right]}$.

144 cubic meters in inches.

Answers

Answer:

I think is 8.787e+6 cubic inches.

on Monday, 241 students went on a trip to the zoo. all 5 buses were filled and 6 students had to travel in cars. how many students were in each bus?

Answers

Answer: 47

Step-by-step explanation:

I just worked it out and checked my work with a calculator :)

1. Write the equation in SLOPE INTERCEPT form with the given information.
The slope is -5; the y-intercept is 7

Answers

Answer:

y=1x+7

Step-by-step explanation:

umm

y=1x+7

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