Determine whether each equation represents a proportional relationship.

Y=2.5x

y= x - 4

Answers

Answer 1

Answer:

y=2.5x - Proportional  

y= x - 4 - Not Proportional  

Step-by-step explanation:

A linear function that is proportional is in the form y =kx (k is the constant of variation) and passes the origin.

The first equation given is in this form (2.5 is the constant) and it passes through the origin. It is proportional.

However, the second one is not proportional is it does not pass the orgin and it's not in y=kx form.

Hope this helps.

Determine Whether Each Equation Represents A Proportional Relationship.Y=2.5xy= X - 4

Related Questions

Nolan was given a box of assorted chocolates for his birthday. Each night, Nolan treated himself to 3 chocolates. After 8 nights, there were 6 chocolates remaining in the box.

Answers

Step-by-step explanation:

i am trying to solve it but how

many chocolate were there in a box

write 15 and 40 ratio simplest form

Answers

Answer:

15:40

Step-by-step explanation:

Are the equations m+3=-5 and m-4=-12$ equivalent?

Answers

Answer:

Yes They Are Equivalent

Step-by-step explanation:

I checked by multiplying them.

Answer: yes, because they both equal x= -8

Step-by-step explanation:

m= -5 -3

calculate

= -8

m= -12+4

calculate

m= - 8

2.3² +9 × 4 ÷by 2



plz help

Answers

Answer: 23.29

Step-by-step explanation:

it is 23.29 because first you multiply 2.3 by 2 then you add 9 and multiply it by 4 then divide by two

help me pleaseeeeeeeeee

Answers

Answer:

thats the answer

Step-by-step explanation:

because the filipinos are magaling sa math

What is the interest on $600 when it is placed for four years in a bank account that gives 2% simple interest



Answers

Answer:

12, or if its yearly, 48.

What is 1/3 of 9/5 please help.

Answers

3/5 (1 x 9)/(3 x 5)= 9/15

Calculate if possible

Answers

Answer:

25/4

Step-by-step explanation:

7 can also be 7/1. Now you have 7/1-3/4. Multiply the denomiator to make them the same so you can subtract. 1*4=4 and 7*4= 28. Now you have 28/4-3/4. Subtract the numerators. 28-3=25. Your answer is 25/4. (6.25 if you need it in decimal form)

Hey y’all please help me.

Answers

Answer:

u-3>-6

Step-by-step explanation:

Just ask.

Hope this helps.

help pls again hmmmm​

Answers

Answer:

here is your answer

Step-by-step explanation:

option d.)5³/3³

Tom has a piece of wood that is 10 and 1/3 inches long. He divides the wood into pieces that are 2 and 1/5 inches long. How many pieces will he have?

Answers

I am sorry I needed points

Regina went out for breakfast. The bill came to $7.20. If Regina has a discount coupon for 20%, how much will be taken off the bill?

Answers

Answer:

Step-by-step explanation:

the answer is 5.76$ , 20% is -1.44$

Find the Product of (s^2+5s)(s^3+4s^2).

Answers

The result of the product [tex](s^2+5s)(s^3+4s^2)[/tex] is [tex]s^5+9s^4+20s^3[/tex]

The product is given as:

[tex](s^2+5s)(s^3+4s^2)[/tex]

Rewrite as:

[tex](s^2+5s)(s^3+4s^2) = (s^2+5s) \times (s^3+4s^2)[/tex]

Expand the expression on the right-hand side

[tex](s^2+5s)(s^3+4s^2) = s^2\times (s^3+4s^2)+5s \times (s^3+4s^2)[/tex]

Distribute the expressions

[tex](s^2+5s)(s^3+4s^2) = s^5+4s^4+5s^4+20s^3[/tex]

Evaluate like terms

[tex](s^2+5s)(s^3+4s^2) = s^5+9s^4+20s^3[/tex]

Hence, the result of the product [tex](s^2+5s)(s^3+4s^2)[/tex] is [tex]s^5+9s^4+20s^3[/tex]

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Mrs. Palmer's famous peanut butter cookies call for 1 cup of peanut butter for every
1
2
of a cup of oil. Today, she wants to make a huge batch with 1 cup of oil. How much peanut butter should she use?

Answers

Answer:

2 cups

Step-by-step explanation:

if she uses 1/2 cup of oil per 1 cup of peanut butter

then she should use the ratio PB(peanut butter)= 2O(oil)

so if oil is 1 then PB must be 2 cups

Help me pls asappppp

Answers

Answer:

D) 8.5

Step-by-step explanation:

because y to b = 4 and it looks a little longer than that so D

Answer:

8.5

Step-by-step explanation:

well from Y to B its 4 so from Y to A its probably 4.5 cuz its a little longer that Y to B so 4+4.5=8.5

hehehehehehhhehehe help

Answers

Answer:

Y=2

Step-by-step explanation:

If x=3 we can see that every two lines is 1 number up then the last

same for y access. Y=-2

Answer:

-2

Step-by-step explanation:

I forgot this within 2 seconds ;-;

Answers

Answer:

12÷4+13>2+22÷2

Step-by-step explanation:

12÷4=3+13=16

2+22=24÷2=12

Convert -439° to radians

Answers

Answer:

-439° × π / 180°  

= -2.4388888889π rad  

= -7.6619954163 rad

Step-by-step explanation:

π rad = 180°

Select each expression that has a value of 15 when x = 15.
A. x3 + 10
B. 15,521 ÷ x
C. (3,015 ÷ x) – 186
D. 20x2 ÷ 30
E. 2x25 – 25

Answers

The answer is C.
3,015 divided by 15=201-186=15

What differences are there between a polynomial equation and a rational equation?​

Answers

Answer:

It is a fraction

. f (x) = x +12×2-x-1 is an example of rational function.

It has numerator and denominator properties.

vertical asymptotes is the another property of rational function.

Numerater and denominator both are polynomials.

function expressed by numerator and denominator with ratio.

Find the value of the variables.

Answers

Answer:

d=8√2 = 11.31

x=3√3 = 5.20

y=6√3 = 10.39

Step-by-step explanation:

d²=8²+8²

d²=64+64

d²=128

d=√128

d=√64*2

d=8√2 = 11.31

30-60-90 triangle

x-x√3-2x

x√3=9

x=9/√3

x=3√3

y=2x

y=2 * 3√3

y=6√3

The larger angle measures?
The smaller angle measures?

Answers

Answer:

Larger angle: 104 degrees

Smaller angle: 76 degrees

Step-by-step explanation:

(9x+5) + (6x+10) = 180

x = 11

Vince made a scale drawing of the middle school. He used the scale 5 inches : 8 feet. If the gym is 45 inches wide in the drawing, how wide is the actual gym?

Answers

Scale drawings are used to show an actual image using lesser dimensions.

The width of the actual gym is 72 feet

The scale is given as:

[tex]Scale = 5\ inches : 8\ feet[/tex]

Represent the width of the actual gym with w, so, we have the following equivalent ratio

[tex]45\ inches : w = 5\ inches : 8\ feet[/tex]

Cancel out the common units

[tex]45: w = 5: 8\ feet[/tex]

Express as fraction

[tex]\frac{45}{w} = \frac{5}{8\ feet}[/tex]

Cross multiply

[tex]5w = 45 \times 8\ feet[/tex]

Divide both sides by 5

[tex]w = 9\times 8\ feet[/tex]

[tex]w = 72\ feet[/tex]

Hence, the width of the actual gym is 72 feet

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Graph: Is it a function? (Yes / no) why or why not?

Answers

short answer: yes.

the definition of a function is a graphical relation in which each x value (input) has only one y value (output). if we use the vertical line test, we can see that each x value on this graph corresponds to one y value and one only. if a certain x value had more than one y value, then it wouldn’t be a function.

hope this helped, i tried to keep this concise but if you need a better explanation let me know :)

If the magnitude of vector u is ||u||=7.81 and its angle of direction is 129.81°, which graph represents vector -u?

Answers

Answer:

  see attached

Step-by-step explanation:

The vector -u will be in the opposite direction of u. The magnitude is 7.81, but the angle is 129.81° -180° = -50.19°. A graph of it is attached.

_____

The (x, y) components are ...

  7.81(cos(-50.19°), sin(-50.19°)) ≈ (-5.00, -6.00)

Solve for x in the equation X2 - 12%+ 36 = 90.
X
X = 6+3/10
Ox=6+2/7
<
= 12+ 3922
X= 12+3/10
X=

Answers

Answer:

x = 6 ± 3√

Step-by-step explanation:

Step-by-step explanation:Since this is an unfactorable expression, apply the Quadratic Formula, -b ± √b² - 4ac\2a,

The solutions to the equation are:

x = 6 + 3 √(10) or x = 6 - 3 √(10)

What is an equation?

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

x² - 12x + 36 = 90

Subtracting 90 from both sides.

x² - 12x - 54 = 0

To solve for x, we can use the quadratic formula.

x = (-b ± √(b² - 4ac)) / 2a

where a, b, and c are the coefficients of the quadratic equation

ax² + bx + c = 0.

In this case, a = 1, b = -12, and c = -54.

Substituting these values into the formula.

x = (-(-12) ± √((-12)² - 4(1)(-54))) / 2(1)

x = (12 ± √(144 + 216)) / 2

x = (12 ± √(360)) / 2

x = 6 ± 3 √(10)

Therefore,

The solutions to the equation are:

x = 6 + 3 √(10) or x = 6 - 3 √(10)

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Rosena bought an 8 pack of donuts. The donuts cost $28.00 all together. What is the unit rate for the donuts in dollars?

Answers

Answer:

$3.50

Step-by-step explanation:

I hope this helps!

Answer:

$3.50 per Donut

Step-by-step explanation:

Well if the total cost is $28.00 and there were eight donuts, then out equation would be 8 x ____=28

So, 28/8=3.5


) Kora is working on a scrapbooking project. She buys packages of stickers at two different stores.
The price of the stickers at each store is p dollars, but each store offers a different discount
Discount on Packages of Stickers
• Which expression represents the total price Kora
pays for 5 packages of stickers at Store A and
3 packages of stickers at Store B?
3{p - 100) + 512 -0.75) 5(p+1.00 +3(p+0.75)
Store A $1.00 off each package
Store B $0.75 off each package
5(p - 1.00) + 3(p -0.75)
3(p+1.00) + 5(p +0.75)

Answers

The expression that can be used to represent the total price is 3(p - $0.75) + 5(p - $1).

The expression that can be used to determine the total amount spent in store A is:

number of stickers bought x ( price of the item - discount) number of  stickers bought = 5 price of the stickers  = p discount = $1

5(p - $1)

The expression that can be used to determine the total amount spent in store B is:

number of stickers bought x ( price of the item - discount) number of  stickers bought = 3 price of the stickers  = p discount = $0.75

3(p - $0.75)

Total price = 3(p - $0.75) + 5(p - $1)

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Please find attached an image with the complete question.

A bowl contains 675 sweets which are coloured either red, blue or green.
The ratio of red sweets to blue sweets is 3:
The ratio of blue sweets to green sweets is 4 : 5
Calculate the number of blue sweets that are in the bowl.

Answers

The number of blue sweets that are in the bowl is 252

Answer:

252 blue sweets

Step-by-step explanation:

red : blue

3 : 7 ( x4 )

12 : 28

blue : green

4 : 5 ( x7 )

28 : 35

red : blue : green

12 : 28 : 35

12 + 28 + 35 = 75

Blue Sweets:

675 x 28/75 = 252

Shelly sleeps for 7 hours 30 minutes in a day. For how many hours did she sleep in the month of January?

Answers

Answer:

Shelly slept 232 hours and 30 minutes in the month of January

Step-by-step explanation:

31 days in January, so the equation will be

31 x 7.5  ( I wrote 0.5 because 30 minutes is half a day)

= 232.5 hours

Shelly slept 232 hours and 30 minutes in the month of January

Answer:

232.5 hours

Step-by-step explanation:

Well, the month of January has 31 days.

If shelly sleeps for 7.5 hours a day, and she sleeps 31 days, we need to do multiplication!

7.5*31=232.5 hours!

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