Suppose y varies directly with x. If y = 6 when x = 18, find the value of y when
x= 8.

Answers

Answer 1

Answer:

y = [tex]\frac{8}{3}[/tex]

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition

y = 6 when x = 18 , then

6 = 18k ( divide both sides by 18 )

k = [tex]\frac{6}{18}[/tex] = [tex]\frac{1}{3}[/tex]

y = [tex]\frac{1}{3}[/tex] x ← equation of variation

When x = 8, then

y = [tex]\frac{1}{3}[/tex] × 8 = [tex]\frac{8}{3}[/tex]


Related Questions

Why/How do we expand brackets, i dont understand (linear equations)

Answers

Do you have a specific sample question?

Solve for x: −3(x + 3) = −3(x + 1) − 5. (1 point) a 6 b −6 c All real numbers d No solution

Answers

D. No solution

1. Distribute -3s: -3(x + 3) = -3(x + 1)

2. Collect like terms: -3x - 9 = -3x - 3

3. Incorrect so no solution: 0 = 6

Answer:

no solution

Step-by-step explanation:

you know it

One of the dog treats in Shelley’s shop is 8 inches long and 3.2 inches wide. She wants to make a miniature version that has proportional dimensions. If the miniature treat will be 3 inches long, how wide should it be?
1.2 inches
1.8 inches
2.3 inches
3.2 inches

Answers

1.2 inches should be the correct answer

Answer:

A - 1.2

Step-by-step explanation:

George’s age is three times that of his brother. When you add George’s age to his brother’s, you get 24. How old is each brother?
a) Write an equation that represents the situation. Explain any variable used.
b) Solve the equation from Part (a). Show your work. State your solution as a complete sentence.

Answers

Answer:

G=18

Step-by-step explanation:

George-G

1/3G+G=24

4/3G=24

3/4*4/3G=24*3/4

G=18

George will be 18 years old there we can find his brothers age by dividing it by three thus 18/3=6

Answer:

George is 18 and his brother is 6

Step-by-step explanation:

let the brother's age be n then George's age is 3n ( 3 times his brother's age )

n + 3n = 24 ( sum of their ages )

4n = 24 ( divide both sides by 4 )

n = 6

and 3n = 3 × 6 = 18

George is 18 years old and his brother is 6 years old.

Please help me with number 10

Answers

Water treaded is the biggest and Springtail is the smallest.
Hope it helped

Geometry
Please help me with my homework! Thank you!

Answers

Answer:

BC, FG, EH.

Step-by-step explanation:

can someone help me find the area please?

Answers

Answer:

100 in ^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 ( b1+ b2) *h  where b1 and b2 are the lengths of the bases and h is the height

A = 1/2 ( 16+9) * 8

   = 1/2 ( 25) *8

   = 100 in ^2

1/2*(l+L)*h
1/2*(9+16)*8=100

How do I find the missing side using the Pythagorean theorem?

Answers

Answer:

6.7082039325                         If you want to round it is 7

Step-by-step explanation:

a squared + b squared = c squared, where as 6 is a, 3 is b, and x is c.

6 squared + 3 squared is 36+9=45, so x is the square root of 45.

6.7082039325

Subtract. What is the (9 x 10 to the power of 10) - (4 x 10 to the power of 10) in scientific notation?Subtract. What is the (9 x 10 to the power of 10) - (4 x 10 to the power of 10) in scientific notation?

Answers

Answer:

5*10^10

Step-by-step explanation:

10 to the power of 10 is 10^10.

10^10*9 is 90000000000

10^10*4 is 40000000000

90000000000-40000000000=50000000000

5*10^10

Is 1.6x-2.4y=4 a function? ​

Answers

Answer:

Yes it is a function

Step-by-step explanation:

NEED HELP QUICK! IT'S FOR AN ASSIGNMENT DUE TODAY!

Answers

Answer:

A =72 in^2

When dilated

    =1152 in ^2

Step-by-step explanation:

The area of the triangle is

A = 1/2 bh

We need to convert the units to match

2 ft= 24 inches

A = 1/2 ( 24*6)

A = 1/2 (144)

A =72 in^2

When dilated 6 inches *4 = 24 inches

                      24 inches *4 = 96 inches

A = 1/2 ( 96*24)

   = 1/2(2304)

    =1152 in ^2

The sum of three consecutive integers is 84. What are the three numbers?

number 1:


number 2:


number 3:

Answers

Answer:

they are 27, 28, and 29.

Step-by-step explanation:

You deposit $1,200 in a savings account that earns simple interest at a rate of 3% per year. How much interest will you have earned after 3 years? Formula I= Prt

Answers

Answer: $ 1,311.27

Step-by-step explanation:

Hope this helps!

evaluate 36÷6x2+9 whats the answer​

Answers

21 fffffffffffff ghgghhhh

Answer:

21

BIDMAS

36 divided by 6 = 6

multiply by 2

add 9

Need help ASAP! Tysmm

Answers

Answer:

26

Step-by-step explanation:

-4*2+3*4-2

16+3*4-2

16+12-2

28-2

26. PEMDAS

Find the equation of the line shown.

Answers

Given : A graph of linear equationis given to us.

To Find : The equation of the line .

Solution : Here we can see that the line passes through points ( 1 , 2 ) and ( 2 , 4). So , clearly here we can use Two - point form to find the equation of the line .

So , first point will be , ( 1 , 2 ) & second point will be ( 2 , 4 ) . So here ;

[tex]\sf x_1 = 1\: \& \:y_1 = 2[/tex][tex]\sf x_2 = 2\: \&\: y_2=4[/tex]

Now , the two point form formula is :

[tex]\Large\boxed{\red{\sf \purple{\mapsto} y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)}}[/tex]

[tex]\tt:\implies y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1) [/tex]

[tex]\tt:\implies y-2=\dfrac{4-2}{2-1}(x-1) [/tex]

[tex]\tt:\implies y-2 = \dfrac{2}{1}(x-1) [/tex]

[tex]\tt:\implies y-2=2(x-1)[/tex]

[tex]\tt:\implies y -2 = 2x - 2 [/tex]

[tex]\underline{\boxed{\purple{\tt\longmapsto 2x - y = 0}}}[/tex]

5 less than the product of a number n and 3

Answers

Step-by-step explanation:

5 - 3n

I think sooooooo

Through (1,-4) Slope = -8
A. Rewrite the equation of the line in slope intercept form
B. Identify the slope and y intercept
(Show steps )

Answers

Answer:

Rewriting the equation in slope intercept form is: Y= -8x+4

Step-by-step explanation:

Im sure there's a faster way to solving this, but I'm just in 8th grade so I'm gonna apply what I know so far.

First of all, we know that our slope is -8... so we have y= -8x so far

From here, to find out y intercept I knew that our slope deals with all the points assigned, therefore we know that from -4 the change would be -8 so we get -12. We can also go the other way. This means that we plus 8 to get positive 4. (Side note: the change in our x value is 1 so we know that our y intercept is always dealing with a 0 in the x position) ex. (0,9) the y intercept would be 9.

To wrap things up, the slope is -8 and the y intercept is 4.

We then get Y= -8x+4

Hope this helps! :)

Marcela took out a $600 discounted loan with a 4% annual interest rate over a period of 8 months. What is the effective annual interest rate for the loan? Round to two decimal places.

Answers

The answer should be $16

What are the x-intercept and y-intercept of the
graph of 5x + 8y = 207 Identify the intercepts &
choose the graph.

Answers

Answer:

X-Intercept (s)  (207/5, 0)

Y-Intercept (s) (0, 207/8

Step-by-step explanation:

To find the x-intercept, substitute in 0 for y and solve for x . To find the y-intercept, substitute in 0 for x and solve for y .

= –5x + 30 x = 10 What is the solution to the system of equations? (–20, 10) (10, –20) (10, 4) (4, 10)

Answers

Answer:

BBBBBBBBBBBBBBBBB

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

help please (: this has something to do with geometry!!

Answers

64° because the equation would be everything added equal to 360 so 180+90+26+x=360 so when you solve 296+x=360 , then you subtract 297 from both sides so you end up with x=64

Answer: x=64°

Step-by-step explanation:

According to the diagram, the two intersecting lines are perpendicular. That means each part is 90°. Since the left side is labelled to be 180°, we know that the sum of the right side is also 180°.

26+x+90=180            [combine like terms]

116+x=180                  [subtract both sides by 116]      

x=64°

Now, we know that x=64°.

On the other hand, we can see that 26+x=90. We can also use that to solve for x.

26+x=90                    [subtract both sides by 26]

x=64°

Question 6(Multiple Choice Worth 1 points) (02.05 MC) Choose the table that represents g(x) = 4⋅f(x) when f(x) = x − 5. x g(x) 1 −4 2 −3 3 −2 x g(x) 1 −16 2 −12 3 −8 x g(x) 1 −20 2 −18 3 −16 x g(x) 1 −1 2 −2 3 −3

Answers

Answer: (b)

x g(x)

1 -16

2 -12

3 -8

If g(x) is 4*f(x), then we can find g(x) by multiplying 4 by x-5

g(x) = 4(x-5)

= 4x-20

Now we can plug in 1,2, and 3 for x to see which table makes sense.

g(1) = 4(1) - 20

= -16

g(2) = 4(2) - 20

= -12

g(3) = 4(3) - 20

= -8

hope this helps

Answer:

x g(x)

1 -16

2 -12

3 -8

Step-by-step explanation:

-3/5 x = 6 how do I solve for x

Answers

Divide the sides of the equation by -3/5 :

-3/5 ÷ -3/5 x = 6 ÷ -3/5

1 x = 6 × -5/3

x = -30/3

x = -10

and we're done.

good luck buddy ♥️♥️♥️♥️♥️.

SOMEONE HELP ME PLZ ASAP!!!!​

Answers

A=22cm

B=21cm

C=23cm

Good luck

6^5 x 6^4=6 to the power of what

Answers

6^9
Because you add the powers 5+4

Answer:

6⁹

Step-by-step explanation:

HI there !

6⁵ ₓ 6⁴ = 6⁵⁺⁴ = 6⁹

Good luck !

The length of a rectangle is 6 more than twice its width. The perimeter of the rectangle is 108, what are the dimensions of the rectangle

Answers

width: 16

length: 38

The clocks shows when Tisa’s movie started and ended. How long did the last movie last? Plz hurry I need to finish

Answers

Answer:

it last 2 hours and 30 min

Step-by-step explanation:

The last movie was 2hr and 30 min I think

the question is 7a + 10 = 2a

Answers

Answer:

a = -2

Step-by-step explanation:

Subtract 10 from both sides:

7a + 10 - 10 = 2a - 10

Simplify:

7a = 2a - 10

Subtract 2a from both sides:

7a - 2a = 2a - 10 - 2a

Simplify:

5a = -10

Divide both sides by 5 and simplify:

a = -2

Answer:

A = -2

Step-by-step explanation:

Subtract 10 from both sides:

7a + 10 = 2a -10

Simplify the expression, 7a = 2a - 10

Subtract 2a from both sides next

7a - 2a = 2a - 10 - 2a

Subtract 7a - 2a

5a = -10

5a / 5 = -10/5

a = -2

PLEASE HELP ON THESE 2

Answers

The answers to these problems are 1.B and 2.C
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