Determine whether y varies directly with x. If so, find the constant of variation k write the equation

Determine Whether Y Varies Directly With X. If So, Find The Constant Of Variation K Write The Equation

Answers

Answer 1

Answer:

It varies directly

k = [tex]\frac{5}{3}[/tex]

Step-by-step explanation:

Table:

    x      y

   7       11

   8       13

   9       15

   10      17

Problem:, determine if y varies directly as x

Solution:

  The equation to determine if they vary directly is;

         y ∝  x

         y  = kx

From the table, y varies directly as x. As y increases, x also increases.

To find k, use any convenient value of y and x  ;

     y  = 15 and x  = 9;

        15 = k x 9

        k = [tex]\frac{15}{9}[/tex]  = [tex]\frac{5}{3}[/tex]


Related Questions

Someone help me pls , i really wouldn’t like to fail :(

Answers

Answer:

the answer to that is gonna be B

Step-by-step explanation:

i just looked at the x's and divided them by 2 and compared the answers to y and those were the only ones that seemed to work lol..

Plz help!!! Will mark brainliest!!!!!!

Answers

The correct answer is 155

Carlos has saved $19.80. Shaq saved 5/6 of the amount that Carlos saved. Deontae saved 4 times as much as shaq. What is the total saved amount of all threw

Answers

102.30this is your answer to your question

Box of 36 rubber bands he used 1/4 of the rubber bands in the box how many rubber bands did use



Pleas help

Answers

Answer:

He used 9 rubberbands.

pls give me brainliest if correct.

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

36 divided by 1 over 4 equals 9

9+9+9+9=36

1+1+1+1=36

-----------

4  4  4  4

Anita is filling a small pool for her kids. Currently, there are 60 gallons of water in the pool and she is filling the pool at a rate of 50 gallons every 5 minutes. The pool holds 200 gallons of water.
Which equation represents the amount of minutes (m) that it will take to fill the pool?
-10m + 200 = 60
50m +200 = 60
-10m + 140 = 60
-50m +140=60

Answers

Answer:

M/140 = 50/60

Step-by-step explanation:

Since the total is 200 it will be the denominator but we already have 60 gallons so we do 200-60=140

the ratio is 50 per 60

Which theorem correctly justifies why the lines m and n
are parallel when cut by transversal k?

converse of the corresponding angles theorem

converse of the alternate interior angles theorem

converse of the same side interior angles theorem

converse of the alternate exterior angles theorem

Answers

Converse of the alternate interior angles theorem is correct
converse of the alternate interior angles theorem is correct

Suppose the parallelogram JKLM has vertices:

J (2, 1)

K (7, 1)

L (6, −3)

M (1, −3)


Write each transformation in function notation and find the new coordinates of each point.

1. J' if the parallelogram is rotated counterclockwise 270° about the origin?

2. K' if the parallelogram is rotated counterclockwise 180° about the origin?

3. L' if the parallelogram is rotated counterclockwise 90° about the origin?

4. M' if the parallelogram is rotated counterclockwise 90° about the origin?


I NEED HELP

Answers

Answer:

1. For a rotation of 270° counterclockwise about the origin the coordinates of J' is (1, -2)

2. For a rotation of 180° counterclockwise about the origin the coordinates of K' is (-7, -1)

3. For a rotation of 90° counterclockwise about the origin the coordinates of L' is (3, 6)

4. For a rotation of 90° counterclockwise about the origin the coordinates of M' is (3, 1)

Step-by-step explanation:

The coordinates of the vertices of the parallelogram are given as follows;

J(2, 1), K(7, 1), L(6, -3), M(1, -3)

1. We have, for a rotation of 270° counterclockwise about the origin we have

f(x, y) = (y, -x)

Therefore, we have for the vertices;

f(J(2, 1)) = J'(1, -2)

Therefore, we have the coordinates of J' as (1, -2);

2. We have, for a rotation of 180° counterclockwise about the origin we have

f(x, y) = (-x, -y)

Therefore, we have for the vertex point K;

f(K(7, 1)) = K'(-7, -1)

3. We have, for a rotation of 90° counterclockwise about the origin we have

f(x, y) = (-y, x)

Therefore, we have for the vertex point L;

f(L(6, -3)) = L'(3, 6)

4. We have, for a rotation of 90° counterclockwise about the origin we have

f(x, y) = (-y, x)

Therefore, we have for the vertex point M;

f(M(1, -3)) = M'(3, 1)

please help am confused

Answers

Answer:

9%

Step-by-step explanation:

432 ÷ 6 = 72

8 = 1% of 800

8 x 9 = 72 = 9%

Step-by-step explanation:

I = P×r%×t

432 = 800 × r/100 × 6

432 = 4800 × r/100

[tex]r = \frac{432 \times 100}{4800} [/tex]

r = 9%

4 x 105 in standard notation

Answers

Answer:

Lol its 420

Step-by-step explanation:

1 gallon is equal to 4 quarts (conversion factor). How many gallons do you have if you have 18 quarts?

START END CONVERSION FACTOR(s) SOLUTION

Answers

Answer:

4.5 gallons

Step-by-step explanation:

18/4

After conversion 18 gallons will be equal to 4.5 quarts .

Given,

1 gallon is equal to 4 quarts

Convert  18 quarts to gallons

Few unit conversions :

Conversion Factors:

1 mile = 5280 feet

1 foot = 12 inches

1 inch = 2.54 cm

1 cm = 10 mm

1 second = 1 s

Now 1 gallon is equal to 4 quarts ,

Here,

1 gallon = 4 quarts

Hence ,

18 quarts = 4.5 quarts .

Know more about unit conversion,

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Which table was created using the equation y = 4x +4?

Answers

Answer:

x  -2, -1, 0 1 2

y-4 0 4 8 12

Step-by-step explanation:

i think...

Answer:

X   Y

1     8

2     12

3     16

4     20

5     24

Step-by-step explanation:

I'm not seeing a table so I assume you need to creat one

The ratio of money in Terry's bank account to Faye's bank account was 3:7.
Terry then put £220 in his account and Faye withdrew £300 from her account.
They now had the same amount in their accounts.
How much did Terry initially have?

Answers

Answer:

£390

Step-by-step explanation:

 The ratio of money in bank:

        Terry  :    Faye

             3      :     7

Terry put £220 in his account

Faye withdrew £300 from her account

 Unknown:

Initial amount Terry had = ?

Solution:

 Let the real amount terry has = 3x

  Faye will have = 7x

Now;

        3x + 220  = 7x -300

 Solving this equation:

         3x + 220  = 7x -300

       3x - 7x = -300 - 220  

           -4x  = - 520

             4x = 520

               x = 130

Originally, Terry has 3x = 3 x 130 = £390

Mrs adeolu spent 1/4 of her monthly income at a shopping mall 1/3 at a open market and 2/5 of the remaining amount at a mechanic workshop. if she had 225,000 naira left .
find her monthly income
find the amount spent at the open market

Answers

Answer: it's c

Step-by-step explanation:

-6=2/3x What does x equal

Answers

Answer:

x = -9 :)

Step-by-step explanation:

solve for x by simplifying both sides of the equation then isolating the equation

brainliest pls if correcto

there are 49 mangoes and 63 avocado's to be sold as part of the fair is school. the organizer wants the same number of items of fruits in each bag. mangoes and avocado's should not be mixed. what is the greatest number of each fruit that can be placed in a bag? A) 7 B) 8 C) 9 D) 10​

Answers

Answer:

9

Step-by-step explanation:

The ratio of men to woman working for a company id 5 to 8. if there are 208 woman working for the company, what is the total numbers of employees​

Answers

The ratio 0f men to worm is 5 to 8, so for every 8 women there are 5 men.

Divide the total woman by 8 and then multiply that by 5.

208/8 = 26 x 5 = 130

There is 130 men.

Can you also tell me if the others are right? please? ​

Answers

Answer:

the others are right

Step-by-step explanation:

good work keep going

20 POINTS! HELP ME PLZZ I NEED HELP WITH THIS! IS THIS RIGHT!

Answers

Answer:

A

Step-by-step explanation:

The correct answer would be A

11a − 2a = 9 what does a=

Answers

Answer:

a=1

Step-by-step explanation:hhqhhahehh

ILL MARK BRAINLIST IF YOU SHOW YOUR WORK and get it right ....... Simplify 42/70

Answers

Find the GCF(Greatest Common Factor) of 42 and 70: 14

Divide numerator and denominator by the GCF.

42 ÷ 14 = 3

70 ÷ 14 = 5

3/5

Answer:

3/5

Step-by-step explanation:

Think of the GCF of 42 and 70

which is 14 divide by 14 which you will get 3/5

(Alternate method)

If you don't know how to do that I will try to divide by the prime numbers like: 2,3,5,7 etc

until you get to a answer that can't be divided anymore

Hope this helps!

A basketball team played five games. In those​ games, the team won by 7​ points, lost by​ 3, won by​ 4, lost by​ 2, and won by 9. What was the mean difference in game scores over the five​ games? The mean difference in game scores over the five games was

Answers

Given:

A basketball team played five games.

In those​ games, the team won by 7​ points, lost by​ 3, won by​ 4, lost by​ 2, and won by 9.

To find:

The mean difference in game scores over the five​ games.

Solution:

Total number of games = 5

Scores in 5 matches are 7, -3, 4, -2, 9.

Positive sign is used for winning and negative sign is used for losing the game.

We know that,

[tex]Mean=\dfrac{\text{Sum of observations}}{\text{Number of observations}}[/tex]

[tex]Mean=\dfrac{7-3+4-2+9}{5}[/tex]

[tex]Mean=\dfrac{20-5}{5}[/tex]

[tex]Mean=\dfrac{15}{5}[/tex]

[tex]Mean=3[/tex]

Therefore, the mean difference in game scores over the five games was 3.

A fish population, p, can be represented by the equation p = 800 . 1/2 where t is time in years since the beginning of 2015. What was the fish population at the beginning of 2012? A. 100 B. 800 C. 2,400 D. 6,400

Answers

Answer:

D. 6,400

Step-by-step explanation:

I got it right

The fish population at the beginning of 2012 is 100.

Given

A fish population, p, can be represented by the equation;

[tex]\rm P =800 \left (\dfrac{1}{2} \right)^t[/tex]

Where t is time in years since the beginning of 2015.

How to determine the population at the beginning of 2012?

The expression represents the number of population in the year 2015 so first take the difference between the year 2015 and 2012 which is 3 then substitute the 3 in the given equation and solve.

The difference between year 2015 and 2012 is;

t = 2015 - 2012 = 3

Substitute the value of t in the equation

[tex]\rm P =800 \left (\dfrac{1}{2} \right)^t\\\\\rm P =800 \left (\dfrac{1}{2} \right)^3\\\\P = 800 \times \dfrac{1}{8}\\\\P = 100[/tex]

Hence, the fish population at the beginning of 2012 is 100.

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1/3 x + y = 4 solve for y

Answers

y=4
hope this helps :)

The simplified answer to the equation is [tex]y=-\frac{1}{3}x+4[/tex]

First, subtract [tex]\frac{1}{3}x[/tex]  on both sides.

[tex]y=-\frac{1}{3}x+4[/tex]

You have isolated [tex]y[/tex] by itself, and the equation can't be simplified further, so [tex]y=-\frac{1}{3}x+4[/tex]  is your answer.

1. Transform pentagon BEARS According to (x,y) → (x + 6, y + 8). Write the coordinates for
pentagon B'E'A'R'S' and sketch pentagon B'E'A'R'S' on the same coordinate plane

Answers

Answer:

2,1

Step-by-step explanation:

You have inherited a large collection of audio compact discs and decide to purchase a HiFi system to play them. At the retailer you find a choice of 4 CD players, 2 amplifiers and 3 sets of speakers. How many different HiFi systems are available to purchase from this retailer

Answers

Answer:

24

Step-by-step explanation:

Since at the retailer you find a choice of 4 CD players, 2 amplifiers and 3 sets of speakers. We have 4 different ways of selecting the CD players, we also have 2 different ways of selecting the amplifiers and 3 different ways of selecting the 3 sets of speakers.

So, the total number of different HiFi systems are available to purchase from this retailer is 4 × 3 × 2 = 24 .

So we have 24 different HiFi systems are available to purchase from this retailer

Name a point non-complanar to plane K

Answers

Answer:

did you attach an image?

Step-by-step explanation:

We have a figure given in question.

We have to find a point non-coplanar to plane K.

What is Coplanarity of points?

Two or more points are coplanar if they lie on the same plane in the three dimensional coordinate system. If they don't lie on the same plane, then they are called non - coplanar.

According to the question, we have to find a point non-coplanar to

plane K.

All the points except points W and Y lie on plane K. Hence, W and Y are the two points that do not lie on the K - plane.

To solve more questions on Coplanarity, visit the link below-

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Which expression is equivalent to one over five m − 20? (4 points)

A one over five (m − 4)

B one over five (m − 100)

C 5(m − 4)

D 5(m − 100)

HELP ASAP

Answers

Answer:

The equivalent to one over five m − 20 is one over five (m − 100) ⇒ B

Step-by-step explanation:

Let us solve the question

∵ One over five means [tex]\frac{1}{5}[/tex]

∴ One over five m - 20 = [tex]\frac{1}{5}[/tex] m - 20

→ By using the distributive property, take one over five as a common factor

  from both terms

∴ [tex]\frac{1}{5}[/tex] m - 20 = [tex]\frac{1}{5}[/tex] [tex](\frac{\frac{1}{5}m}{\frac{1}{5}}[/tex] - [tex]\frac{20}{\frac{1}{5}})[/tex]

→ Simplify the bracket

∵  [tex]\frac{1}{5}[/tex] m ÷ [tex]\frac{1}{5}[/tex] = [tex]\frac{1}{5}[/tex] m × 5 = m

∵ 20 ÷  [tex]\frac{1}{5}[/tex]  = 20 × 5 = 100

∴  [tex]\frac{1}{5}[/tex] [tex](\frac{\frac{1}{5}m}{\frac{1}{5}}[/tex] - [tex]\frac{20}{\frac{1}{5}})[/tex] = [tex]\frac{1}{5}[/tex] (m - 100)

∴ [tex]\frac{1}{5}[/tex] m - 20 = [tex]\frac{1}{5}[/tex] (m - 100)

The equivalent to one over five m − 20 is one over five (m − 100)

On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The number b varies directly with the number a. For example b = 2a equals negative 2 and StartFraction 3 Over 4 EndFraction. when a = –2a equals negative 2 and StartFraction 3 Over 4 EndFraction.. Which equation represents this direct variation between a and b?

Answers

Answer:

B

Step-by-step explanation:

The equation that represents this direct variation between a and b is:

b = -a. See explanation below.

What is a Direct variation?

Direction Variation is best defined as an equation in which one variable equals a constant times the other can be used to express a mathematical relationship between two variables.

Hence it is correct to state that The equation that represents this direct variation between a and b is: b = -a

Learn more about Direct Variation at:
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can a triangle have an exterior angle that is obtuse at two vertices? Explain

Answers

Answer:

Yes

Step-by-step explanation:

An obtuse triangle will have two obtuse angle at its exterior.

Take for instance, the angles in the triangle are 100, 40 and 40.

The exteriors would be 80, 140, 140 (this is gotten by subtracting each interior angles from 180).

So, using the above analysis, we can conclude that the statement is possible.

HIN
The cliff dwellings in Mesa Verde
National Park are accessible to visitors
only when accompanied by a park
ranger. Billy is at a cliff dwelling in
Mesa Verde National Park. So, Billy
(is, may be, is not) with a park ranger.
Deductive reasoning

Answers

Answer: Be careful !

Billy is with a park ranger. Should be correct BUT

It is not given that Billy is visiting the cliff dwelling.

Billy may be the Park Ranger.

So Billy may be with a park ranger.

Step-by-step explanation:

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