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

Answer:

9

Step-by-step explanation:

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.

Answer:

the others are right

Step-by-step explanation:

good work keep going

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

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!

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

Answer: it's c

Step-by-step explanation:

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)

Answer:

A

Step-by-step explanation:

Answer:

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%

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:

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.

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.

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-

https://brainly.com/question/10623225

#SPJ2

Answer:

Lol its 420

Step-by-step explanation:

Answer:

D. 6,400

Step-by-step explanation:

I got it right

The fish population at the beginning of 2012 is 100.

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.

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.

To know more about Equation click the link given below.

https://brainly.com/question/17142975

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.

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

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

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,

brainly.com/question/14614674

#SPJ6

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

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..

Answer:

2,1

Step-by-step explanation:

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.

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

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)

Answer:

a=1

Step-by-step explanation:hhqhhahehh

Answer:

B

Step-by-step explanation:

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

b = -a. See explanation below.

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:
https://brainly.com/question/6499629
#SPJ9