when x varies directly as 2y and x=6 when y=20 find y when x=9

Answers

Answer 1

Answer:

x=k×2y

substitute x for 6 and y for 20

6=2(20)×k

6=40k

Divide both sides by the coefficient of k

6/40=40k/40

3/20=k

To find y, when x=9

9=3/20×2y

9=6y/20

cross multiply

9×20=6y×1

180=6y

Divide both sides by the coefficient

y=30


Related Questions

Darrian creates caricatures for an initial fee of $5 then charges $2 each minute it takes him to complete the drawing.Write an equation to match the situation.

Answers

Answer:

2x+5

Step-by-step explanation:

Equation  y = 3x + 5  correctly represents the situation.

What is an equation?

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

Given:

Darrian creates caricatures for an initial fee of $5 then charges $2 each minute.

Let x be the number of each extra minutes.

And y be the total fees.

So, the equation;

The total fee = Charges of x minutes + initial fee.

y = 3x + 5

Therefore, the equation is  y = 3x + 5.

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Please help me
I such at geometry

Answers

Middle I think but me too man I suck too

Select all the expressions that equal:

-7 - (- 12)

below:

Answers

Answer:

c and e

Step-by-step explanation:

[tex]-7-(-12) = -7 +12 = 12 +(-7)[/tex]

I need help please? ????????

Answers

Answer:

ummmmm i really don't get it but I think its 17/66

Step-by-step explanation:

multiply in to each fraction

1) Find the probability of rolling a
number greater than 3 on a standard
number cube.

Answers

Answer:

50%

Step-by-step explanation:

Cost to store is $32, Markup 3%, what's the selling price, what is answer?

Answers

Answer:

the answer to this question is $32.96

Is the sequence {4, 7, 10, 13, 16, ...} a function? Explain.

a
Yes, because each input is a natural number with multiple output numbers in the sequence

b
Yes, because each input is a natural number with a single output number in the sequence

c
No, because there are no input values paired with a single output number in the sequence

d
No, because there are multiple input values paired with a single output number in the sequence

Answers

Step-by-step explanation:

tricky, as the sequence does not define the input values.

by we can assume that the corresponding input values are 1, 2, 3, 4, 5, ... as it is usual for a sequence.

in that sense, b is the correct answer.

The sequence is a function because each input is a natural number with a single output number in the sequence.

What is arithmetic progression?

The difference between any two consecutive integers in an arithmetic progression (AP) sequence of numbers is always the same amount. It also goes by the name Arithmetic Sequence.

Given the sequence {4, 7, 10, 13, 16, ...},

Given that each term has a common difference, this is an arithmetic sequence. In this instance, the next item in the sequence is obtained by multiplying the previous term by 3.

a₂ - a₁ = 7 - 4 = 3

a₃ - a₂ = 10 - 7 = 3

the difference in output is the same for all the numbers in sequence.

Hence the sequence is the function of the Arithmetic Sequence.

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the school parking lot has a surface area of 841 square meters and is square in shape calculate the length of one side of the parking lot

Answers

Answer: 29 ft

Step-by-step explanation:

Says parking lot is a square.

Square root of 841 is 29

xsquare- 2x -4 = 0 using completing Square method​

Answers

Answer:

........................

The admission fee to an amusement park is $28. It costs an additional p dollars to rent a locker to hold your belongings. The total cost for 5 people to enter the amusement park and each rent a locker is $180.How much does it cost for one person to rent a locker

Answers

Answer: 1040

Step-by-step explanation: 180+28=208

208 times 5 = 1040

pls help if you can. ​

Answers

Answer:

A. 85  B. 87  C. 60

Step-by-step explanation:

As shown in the shapes, A, is a full circle making 360 degrees full. B, a half circle making 180 degrees half. C, a full circle again making 360 degrees full.

A: [360-(132+63+80)]

360 - 275

=85

B: [180(60+33)]

180 - 93

=87

C: [360(120+60+120)]

360 - 300

=60

Please help- not a test. 15pts.
The orthocenter of ΔABC lies at vertex A. What can you conclude about the line segments BA and AC? Explain.

Answers

Answer:

You can conclude that the line segments BA and AC are perpendicular to each other.

Step-by-step explanation:

That is because in this case, the triangle presented would be a right triangle. In right triangles, the orthocenter is the vertex of the triangle where two of the segments intersect perpendicularly, forming a 90 degree angle. As the orthocenter is where the altitudes intersect (altitudes are 90 degrees), we are able to conclude that BA and AC are perpendicular to each other.

Answer:

CE

AE

segment addition postulate

Given: ABC is a triangle.

To prove: BC + AC > BA

Proof: In triangle ABC, we can draw a perpendicular line segment from vertex C to segment AB. The intersection of AB and the perpendicular is called E. We know that BE is the shortest distance from B to CE and AE is the shortest distance from A to CE because of the shortest distance theorem.

Therefore,  and .

Now, add the inequalities, we get

.

Then,  because Segment addition postulate (states that given 2 points E and F, a third point D lies on the line segment EF if and only if the distances between the points satisfy the equation ED + DF = EF)

Therefore,  by substitution.

Step-by-step explanation:

Find the slope of each line.
1)

Answers

Answer:

7/1 or 7

Step-by-step explanation:

because you rise (vertically) seven and run (horizontally) 1, so 7/1 but simplified it's just 7 so either is valid.

Find the slope of the line passing through the points A(-2,2) and B(7, -3)

Answers

Step-by-step explanation:

Formula :  m = (y2-y1)  /  (x2+x1)

(-3 - 2) / (7 - - 2)-5 / 9= -0.55555555555

please answer this, click file, thank you​

Answers

Answer:

the answer is 34°

Step-by-step explanation:

a straight line = 180°

just do 180 - 146 = 34

It’s 34°
The two lines across from another are both equally 146° so it’d be the same for the other one to be 34°

guys cqn you help me please ​

Answers

yan po answer

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LOVE U ALL

y = x + 2.Let x be 0. Then y = 2.Let x be 4, then y = 6.Let y be 0, then x = -2.Let A be (0, 2), B be (4, 6), C be (-2, 0).Plotting the points on a given graph, we get the graph as shown in the picture.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Find the slope of the line that passes through (10, 8) and (1, 9).​

Answers

Answer:

m = 1/9

Step-by-step explanation:

Given:

x = 10

y = 8

x1 = 1

y1 = 9

Solution:

y - y1 = m ( x - x1 )

9 - 8 = m ( 10 - 1 )

1 = 9m

m = 1/9

log 95 The expression Tog2 is the result of applying the change of base formula to a logarithmic expression. Which could be the original expression? log, 2 3 log, 3 2 O log حاد 3 1 1093 2​

Answers

Answer:

third option: log_2  1/3

Step-by-step explanation:

change of base formula:

log_b  a= (log_x a)/(log_x b)

(log 1/3)/(log 2)

apply reverse change of base formula

2 from log 2 becomes new base, and 1/3 becomes the other number

=log_2  1/3

The original logarithmic expression which when undergoes the change of base formula gives the expression ㏒ (1/3) / ㏒ (2) is third option ㏒₂ (1/3).

Given a logarithmic expression,

㏒ (1/3) / ㏒ (2)

This expression is the result of a logarithmic expression when undergoes change of base formula.

The change of base formula is as given below.

㏒ₐ (x) = ㏒ₙ (x) / ㏒ₙ (a)

Using the same formula here,

We have the expression ㏒ (1/3) / ㏒ (2).

Here x = 1/3 and a = 2

So, the required expression is,

㏒ₐ (x) = ㏒₂ (1/3)

Learn more about Logarithmic Expressions here :

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please help me asap


ty :)

Answers

Answer:

y= 3x+16

Step-by-step explanation:

y = 3x + 8 ║ y= mx +b

Since lines are parallel, m=3

y= 3x+b

(-3, 7) intersect

7= 3*(-3) + b

b= 7+9

b= 16

y= 3x+16

Step-by-step explanation:

while the other answer is correct, here also the way as the hint suggests :

y - 7 = 3(x - -3) = 3(x + 3) = 3x + 9

y = 3x + 9 + 7 = 3x + 16

and there you have it : the same result just by using the point-slope form first.

Select the postulate that is illustrated for the real numbers. 3x + 3 = 3(x + 1) The commutative postulate for multiplication Multiplication by one The distributive postulate The multiplication inverse The addition of zero postulate Commutative postulate for addition The addition inverse postulate

Answers

distributive postulate.

The expression 3x + 3 = 3(x + 1) is an example of a distributive postulate. It says that multiplying a number by a group of numbers added together is the same as doing each multiplication separately.

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Linear Inequalities: Mastery Test
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Hope this helps
Answer…

The inequality [tex]2x + y >4[/tex] has a slope of -2, and the y-intercept of 4

The inequality is represented as:

[tex]2x + y >4[/tex]

Subtract 2x from both sides

[tex]y >4 - 2x[/tex]

Rewrite the inequality as:

[tex]y >- 2x+4[/tex]

The linear inequality is represented as:

[tex]y >mx+c[/tex]

Where:

m represents the slopec represents the y-intercept

So, by comparison:

[tex]m = -2[/tex]

[tex]c = 4[/tex]

This means that the inequality [tex]2x + y >4[/tex] has a slope of -2, and the y-intercept of 4

See attachment for the graph of the inequality

Read more about inequalities at:

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The Roman god Neptune and the Greek god Poseidon BOTH were considered to be the god ofA)war.B)time.C)the sea.D)the underworld.

Answers

Answer:

C)The sea

Step-by-step explanation:

Ares is the god of war

Hades is the god of the underworld

Cronos is the god of time

Jill takes 2 hours to paint a room, Jim takes 3 hours to paint a room. How long (in minutes) will it take both of them to paint a room

Answers

Jill will take 120 minutes to paint a room

Jim will take 180 minutes to paint a room

All together Jim and Jill will take 200 minutes to paint a room

Answer:

  72 minutes

Step-by-step explanation:

The sum of the rates of work in rooms per hour is ...

  Jill's rate + Jim's rate

  = (1/2 room/hour) +(1/3 room/hour) = (3/6 +2/6 room/hour) = 5/6 room/hour

__

Then the combined rate in hours per room is ...

  1/(5/6 room/hour) = 6/5 hours/room = (6/5 hours/room)(60 minutes/hour)

  = 72 minutes per room

Jill and Jim can paint the room in 72 minutes when they work together.

how to express each of the following ratios in simplest dorm​

Answers

Step-by-step explanation:

I am sorry but please give detailed question

Can someone plz help Me?

Answers

Answer:

The answer is A!

Step-by-step explanation:

A package weighs P pounds P being a whole number. to ship this package by express costs one dollar and sixty five cents for the first five pounds and twelve cents for each additional pound. the total shipping cost is three dollars and forty five cents. how many pounds of the package weigh?
I give brainliest to first answer

Answers

whole package weighs 20pounds

1.65 = 5pounds
0.12 = extra pound

3.45 - 1.65 = 1.80 : 0.12 = 15pounds
Adding up 15pounds and the first 5 pounds equal 20 pounds

could someone help me find the stuff?

Answers

Answer: i cant really see the homework

Step-by-step explanation:

I didnt know id you wanted all so
2. (-4,1) (-2,-1)
3. (-1,-4) (1,-3)
4. (-4,4) (0,-1)
5. (2,-1) (3,-1)
6. (-2,1) (-3,-3)
7. (-4,3) (-2,-1)
8. (0,-2) (0,-4)

Hope it helps!

please help me asap, pleaseee :/


ty ty :D

Answers

7x+8y=32

Just do pemdas

Answer:

7x+8y=32

Step-by-step explanation:

Hi there!

We are given the following equation:

[tex]y=-\frac{7x}{8} +4[/tex]

And we want to convert it into standard form

Standard form is ax+by=c, where a, b, and c are integer coefficients, a and b cannot be zero, and a cannot be negative

a is the coefficient in front of x and b is the coefficient in front of y

Since we have the term with x ([tex]-\frac{7x}{8}[/tex]) on the right side, and we want it on the left side with the term with y, we can move it to the other side, by adding [tex]\frac{7x}{8}[/tex] to both sides.

[tex]y=-\frac{7x}{8} +4[/tex]

+[tex]\frac{7x}{8}[/tex]   +[tex]\frac{7x}{8}[/tex]

_________________

[tex]\frac{7x}{8} + y =4[/tex]

Now we have the terms of x and y on both sides, but remember; we want the coefficients to be integers (whole numbers).

We'll need to clear the fraction of [tex]\frac{7x}{8}[/tex]. To do that, we can multiply both sides by 8.

[tex]8(\frac{7x}{8} + y) =8(4)[/tex]

Now doing the distributive property:

[tex]8(\frac{7x}{8}) + 8(y) =8(4)[/tex]

Multiply each term by 8.

7x + 8y = 32

Hope this helps!

The map shows two walking trails in a park. Both paths end at the picnic area, located at C(6, 1). Trail A starts at A(−6, 6), and Trail B starts at B(−10, −11). If each unit on the map represents 0.5 mile, how many miles longer is Trail B than Trail A?

Answers

Answer:

12 miles

Step-by-step explanation:

because of slope

WILL GIVE BRAINLIEST
HELP ASAP!! WILL ADD 5 STAR RATING !!!

ANY AND ALL LINKS OR WRONG ANSWERS WILL BE REPORTED !!!!

Answers

X=-3
Y=4,5
.........
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