The following table shows a proportional relationship between x and y.
x y
2 9
5 22.5
8 36
Write an equation to describe the relationship between x and y.

Answers

Answer 1

Answer:

Assume x is directly proportional to y :

[tex]y \: \alpha \: x \\ y = kx[/tex]

when y is 9, x is 2:

substitute to find value of k :

[tex]9 = (k \times 2) \\ k = \frac{9}{2} [/tex]

Therefore, equation is:

[tex]{ \boxed{ \boxed{2y = 9 x}}}[/tex]


Related Questions

Need help ASAP!!!!!!

Answers

Answer:

Its B

Step-by-step explanation:

I really need help with this problem please help!!!

Answers

Answer:

Option C

Step-by-step explanation:

[tex]( { - 2m}^{3} {p}^{2} ) {}^{4} [/tex]

[tex] {( { - 2m}^{3}) }^{4} \times ( { {p}^{2} )}^{4} [/tex]

[tex] {16m}^{12} \times {p}^{8} [/tex]

Answer:

[tex] {( - 2 {m}^{3} {p}^{2}) }^{4} \\ = { (- 2)}^{4} { {m}^{3} }^{4} { {p}^{2} }^{4} \\ = 16 \times {m}^{12} {p}^{8} \\ c \: is \: ur \: answer \: \\ thank \: you[/tex]

two billion,twenty million,five hundred thousand,nine hundred

In number form

Answers

Answer:

the answer = 2,020,500,900

What is the rate of change of y=-50+31

Answers

Hey there!

Guide:

• Negatives are on the LEFT side of the number line

• Positives are on the RIGHT side of the number line.

• Negatives are BELOW 0 (less than 0)

• Positives are ABOVE 0 (more than 0)

• You have to take the value of the LARGER number.

• If your LARGER number is a negative number then your result will be a negative.

• If your LARGER is a positive number then your result will be a positive

• Negative & Negative = Positive

• Negative & Positive = Negative

• Positive & Positive = Positive

• Positive & Negative = Negative

y = -50 + 31

• So, you start from -50 and go UP 31 spaces to the right because “31” is a positive number.. once when you have moved UP your 31 spaces you have reached your answer for this given equation

y = -50 + 31

y = -19

Therefore, your answer is: y = -19

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

3. x + y + z = 8
x-y+z=8
2x + y + 2z = 16

Answers

Answer: this is an impossible question dude or dudett

Step-by-step explanation:

In the expression (x^2 + 3), the base is ?

Answers

Answer to your question
The base is X
What are the other stuff then?
2 is the power
3 is the constant

For what values of x is the equation X^2-x=20 true?

Answers

Answer: x = 5 or x = -4

Step-by-step explanation:

Given equation

x² - x = 20

Subtract 20 on both sides

x² - x - 20 = 0

Cross factorize the equation

x          -5

x          4

Factorize the equation

(x - 5) (x + 4) = 0

[tex]\boxed{x=5}[/tex] or [tex]\boxed{x=-4}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Which graph represents the solution set to the system of inequalities?

{ y<−1/2x+2
y≥−3/2x+2

Answers

Answer:

The answer must be B because the rest are not possible.

Step-by-step explanation:


ana sold $234,654 in Sales. She
earns a 14.5% commission on all
Sales. Find her commission

Answers

Answer:

34024.83

Step-by-step explanation:

The sum of the first two numbers is 3. The difference of the
third number and the second number is 3. The sum of the first number and twice the third
number is 10. Find the three numbers

Answers

Answer:

Step-by-step explanation:

someone please help me with this

3x - y = 6 [x]​

Answers

Answer: x=6+y/3

Step-by-step explanation:

3x=6+y

x=6+y/3

solve the following equation(2m)/3 + 1/2 - m/5 = (4m)/5 + 5​

Answers

Answer:

m = - 13.5

Step-by-step explanation:

Given

[tex]\frac{2m}{3}[/tex] + [tex]\frac{1}{2}[/tex] - [tex]\frac{m}{5}[/tex] = [tex]\frac{4m}{5}[/tex] + 5

Multiply through by 30 ( the LCM of 3, 2, 5 ) to clear the fractions

20m + 15 - 6m = 24m + 150 , that is

14m + 15 = 24m + 150 ( subtract 24m from both sides )

- 10m + 15 = 150 ( subtract 15 from both sides )

- 10m = 135 ( divide both sides by - 10 )

m = - 13.5

HELP ASAP

Graph JKL and its image after a reflection in the line x=2.
Then give the points of the image.
J(1,-1)
K (3,0)
L (0, -4)

I need the new coordinates for the reflection of the pre image.

Answers

J(1,5) K(3,4) L(0,8)

Write an integer for this situation: a profit of $12

Answers

Answer:

+12

Step-by-step explanation:

Write the slope-intercept form of the
equation that passes through: (4,2),
parallel to y = x-3

I tried to answer myself but somehow got it wrong, would like to know what I did wrong

Answers

Answer:
y=x+2

Explanation:

Draw a graph for each inequality.

Answers

Answer:

Step-by-step explanation:

if 9m + 18= -27, then 4m - 5= ? Please help!

Answers

Answer:

? = -25

Step-by-step explanation:

9m + 18 = -27

9m = -45

m = -45/9

m = -5

4m - 5 = ?

4(-5) - 5 = ?

-20 - 5 = ?

-25 = ?

Jillian simplified the expression 7 + 3 . (10 -6) ^2 in the following way:
7 + 3 . (10 - 6) ^2
7+ 3 . (4)^2
7+3 . 16
10 . 16
160

Part: A Explain, using the complete sentences, what Jillian’s error was


Part B: show how the expression should have bee simplified using a similar format.

Please help me how should I explain it

Answers

Answer:

Part A: Jillian added 7+3 first rather than multiplying 3*16 b/c multiplication comes before addition

Part B:

7 + 3 * (10 - 6) ^2

7+ 3 * (4)^2

7+3 * 16

7 + 48

55

Step-by-step explanation:

Answer:

Part A:

Jillian's error was that they added the 7 and the 3 to get 10 and then multiplied by 16. Jillian should have multiplied the 3 and the 16 first and then added 7. This is because multiplication comes before addition in PEMDAS.

Part B:

7+3×(10-6)^2

7+3×(4)^2

7+3×16

7+48

55

Step-by-step explanation:

PEMDAS

PLEASE HELP.I WILL MARK YOU BRAINLIEST

A baseball team won 16 games and lost 11. At this rate, how many games will it win in a 162-game schedule?

Answers

Answer:  96

==========================================================

Explanation:

The team won 16 games and lost 11 so far. At this point in the season, they played 16+11 = 27 games total. Their win rate is 16/27.

Set this equal to x/162 which is the win rate for winning x games out of 162 played over the entire season.

Solve for x.

x/162 = 16/27

27x = 162*16 ... cross multiplication

27x = 2592

x = 2592/27

x = 96

The team would win 96 games if it kept the same winning rate going.

Notice that 16/27 = 0.5926 = 59.26% and how 96/162 = 0.5926 = 59.26% as well (both are approximate). This helps confirm we have the correct answer.

-------------------------

Here's another slightly longer way to solve. If you prefer the first method above, then ignore this section.

w = number of games won over the entire 162 game season

162-w = number of games lost over the entire season

w/(162-w) = win to loss ratio

16/11 = win to loss ratio after winning 16 games and losing 11

Setting those last two expressions equal to each other and solving for w gets us...

w/(162-w) = 16/11

11w = 16(162-w)

11w = 2592-16w

11w+16w = 2592

27w = 2592 ... this hopefully looks a bit familiar from before

w = 2592/27

w = 96 games won

Simplify the expression by combining any like terms.
m-m - 7m - 2
m-m-7m -2=

Answers

Answer:

−7m−2

Step-by-step explanation:

Combine Like Terms:

=m+−m+−7m+−2

=(m+−m+−7m)+(−2)

=−7m+−2

Put the following numbers from greatest to least greatest 1 17 51 -4 -25

Answers

Answer:

51, 17, 1, -4, -25

Step-by-step explanation:

Hope this helps

given the point (-3,-6) translate it 4 units down what are the new coordinates

Answers

Answer:

(-3,-10)

Step-by-step explanation:

4 units down means -4 from the y axis

-6 - 4 = -10

Help plssssss
1. (x +3) 2
2. 6÷2(1+2)
3. 15-1(12÷4+1)



Answers

1. 2x+7
2. 9
3.11
I help u there aowonxpwkdowiwvbwicbwocbiwcb

If LM = X+3, MN = 2x, LN = 4x, and M is between L and N, then LN = ?​

Answers

Answer:

LN = 12

Step-by-step explanation:

L______M_____N

LM = x+3

MN = 2x

LN = 4x

M is the midpoint of LN

LN= ?

LM + MN = LN

x + 3 + 2x = 4x

x + 2x + 3 = 4x

3x + 3 = 4x

-3x         -3x

----------------------

3 = 1x

/1    /1

----------------------

3 = x

LN = 4x

= 4 (3)

= 12

LN = 12

Answer:

LN = 12

Step-by-step explanation:

If LM = X+3, MN = 2x, LN = 4x, and M is between L and N, then LN = 12.

Add -6+(-3)=. 3+(-4)=

Answers

Answer:

-6+(-3) OR -6-3= -9

3+(-4)= -1

Step-by-step explanation:

if u nee me to explaiin, jus say thet .

Bill weights 120 pounds and is gaining 10 pounds each month. Phil weights 150 pounds and is gaining 4 pounds each month. How many months, m, will it take for Bill and Phil to have the same weight? (Please provide the equation and the answer.)

Answers

The answer should be 3 months

Answer:

it will take 5 months

Step-by-step explanation:

An 8-pack of board games costs $34.00. What is the unit price?

Answers

Step-by-step explanation:

Each unit would be $4.25

Answer:

8/$34.00 divided by 8 = 1/$4.25. 1 board game costs $4.25. hope this helps

Step-by-step explanation:

- Zombie

.30,36,P,40,44 average is 35 find the value of p ​

Answers

sum of number=30+36+p+40+44=150+p

n=5

average=35

Step-by-step explanation:

average=sum of number÷n

35=150+p÷5

35×5=150+p

175-150=p

25=p

p=25

Answer:

P=25

Step-by-step explanation:

Hi! Let's start with with the average...

First we multiply 35 by the amount of numbers we have

We have 5 including the unidentified

so...

35x5=175

Now since we have 175 we have to add all the other numbers together

30+36+40+44=150

Next we subtract

175-150= 25

P= 25

To check our answer add all of them together

40+30+40+44+25=175

We were right!

Hope this helps! :)

Solve y = x + 4 for x
(9th-grade Algebra 1)

Answers

Answer:

[tex]x=y-4[/tex]

Step-by-step explanation:

Solve for x by simplifying two sides of the equation then isolating the variable.

Hope this helps!

how to convert quinary into binary numbers​

Answers

Answer:

Step-by-step explanation:

how to convert quinary into binary numbers​?

If this means x in base 5 is equal to y in base 2

You just have to divide in base 5 by 2

Let's take an example.

[tex](14)_5= (? )_2\\\\\begin{array}{c|c}14&1\\4&0\\2&0\\1&1\\0\\\end {array}\\\\\\\\[/tex]

[tex]Read\ from\ down\ to\ up ==> 1001\\\\[/tex]

[tex]Explanation:\\(14)_5=1*5+4=9\ in\ base\ 10\\\\[/tex]

[tex]in\ base\ 5\\4*2=13 \\14=4*2+1\\4=2*2+0\\2=1*2+0\\1=0*2+1\\[/tex]

[tex]So\ (14)_5=(1001)_2\\[/tex]

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