How do you know whether two quantities x and y are proportional?

1. Every ratio yx for related pairs of x and y is equivalent.
2. Every sum x + y is the same for related pairs of x and y.
3. Every x term is a multiple of the previous term.
4. Every difference x – y is the same for related pairs of x and y please help me​

Answers

Answer 1

Answer:

The correct answer is:

1. Every ratio yx for related pairs of x and y is equivalent.

Step-by-step explanation:

Proportion is defined as the relationship between two quantities. When one quantity changes the other is also changes.

For two quantities y and x when we say that both are proportional then t can be written as:

y∝x

Removing the proportionality symbol introduces a constant which is the ratio of y and x.

[tex]\frac{y}{x} = k[/tex]

This ratio of y and x, i.e. k is equivalent for all related pairs of x and y.

Hence,

The correct answer is:

1. Every ratio yx for related pairs of x and y is equivalent.


Related Questions

Express this number in scientific notation. 0.000000591 A. 5.91 × 10–7 B. 5.91 × 10–6 C. 5.91 × 106 D. 5.91 × 107

Answers

Answer:

A

Step-by-step explanation:

Maya purchased a prepaid phone card for$25. Long distance calls cost 9cent a minute using this card. Maya used her card only once to make a long distance call. If the remaining credit on her card is 24.01, how many minutes did her call last?

Answers

Answer:

Her call lasted for 1 minutes.

Step-by-step explanation:

She bought a prepaid card ($25)

0.9 times 11 = 0.99

25 - 0.99 = 24.01

Write 2x+y=17 in slope-intercept form

Answers

Answer:

y=-2x+17

Step-by-step explanation:

solve for x 3(-5x+4)+5x-1=-39

Answers

Answer:

2

Step-by-step explanation:

x3(−5x+4)+5x−1=−39

−5x4+4x3+5x−1=−39

Step 1: Subtract -39 from both sides.

−5x4+4x3+5x−1−(−39)=−39−(−39)

−5x4+4x3+5x+38=0

Step 2: Factor left side of equation.

(−x+2)(5x3+6x2+12x+19)=0

Step 3: Set factors equal to 0.

−x+2=0 or 5x3+6x2+12x+19=0

x=2 or x=−1.409699

If (x+k) 2 (x+2) = x² +14x²+60x+72
Find the value of k.

I will give brainliest

Answers


George C.
Jul 24, 2018
(
x
+
2
)
(
x
+
6
)
2
=
0

Explanation:
Given:
x
3
+
14
x
2
+
60
x
+
72
=
0

By the rational roots theorem, any rational zeros of the given cubic are expressible in the form
p
q
for integers
p
,
q
with
p
a divisor of the constant term
72
and
q
a divisor of the coefficient
1
of the leading term.
That means that the only possible rational zeros are:
±
1
,
±
2
,
±
3
,
±
4
,
±
6
,
±
8
,
±
9
,
±
12
,
±
18
,
±
24
,
±
36
,
±
72
In addition, note that all of the coefficients are positive and the constant term is non-zero. As a result, any real zero (rational or otherwise) of this cubic must be negative.
So that leaves rational possibilities:

1
,

2
,

3
,

4
,

6
,

8
,

9
,

12
,

18
,

24
,

36
,

72
We find:
(

2
)
3
+
14
(

2
)
2
+
60
(

2
)
+
72
=

8
+
56

120
+
72
=
0
So
x
=

2
is a zero and
(
x
+
2
)
a factor:
x
3
+
14
x
2
+
60
+
72
=
(
x
+
2
)
(
x
2
+
12
x
+
36
)
Without trying any more of our "possible" zeros, we can recognise the remaining quadratic factor as a perfect square trinomial:
x
2
+
12
x
+
36
=
x
2
+
2
(
x
)
(
6
)
+
6
2
=
(
x
+
6
)
2
So the factored form of the given cubic equation can be written:
(
x
+
2
)
(
x
+
6
)
2
=
0

Wesley and Lincoln went fishing

Answers

Answer:

I this a question of some sort?

Given the points (2, k) and (0, -6), for which values of k would the distance between the points be square root of 5?

Answers

Answer:

k = -5

k = -7

Step-by-step explanation:

*look at the picture*

What is 100 times 100

Answers

Answer:

hii

Step-by-step explanation:

10,000

Answer:

the anwser would be 10000

Step-by-step explanation:

lol

An amount of $2,535.00 is deposited in a bank paying annual interest rate of 5.3% compounded quarterly find the balance after 3 years

Answers

5.3% of $2,535.00 = $134.35

$134.35 per year x 3 years = $406.05

$2,535.00 + $406.05 = $2,941.05

Answer : $2,941.05

Answer:

2968.78

Step-by-step explanation:

took the test

PLEASE HELP
The slope of the line that represents the data Nicholas collected is -63, and the y-intercept is 825. Explain what these represent in the context of the situation. Remember that x is the number of days, and y is the number of canned goods. explain the answer

Answers

Answer:

sorry i coldent find the anser

Step-by-step explanation:

ello

+v+

Answer:

The slope indicates that the soup kitchen uses 63 cans per day. The y-intercept shows that there were initially 825 cans at the soup kitchen.

Step-by-step explanation:

pleaseeeeeeeee helpppp...

Answers

Answer:

x = 67

Step-by-step explanation:

∠ CRQ = ∠ BQR = 113° ( Alternate angles )

∠ CRQ and ∠ CRS are adjacent angles and supplementary, that is

x + 113 = 180 ( subtract 113 from both sides )

x = 67

x=67
Hope this helps

write an equation that is perpendicularl to 7/8x+1

Answers

Answer:

-8/7x-1

Step-by-step explanation:

perpendicular equations have opposite signs and are reciprocal.

The cost of tickets is $36 for three students an $72 for six students. What’s the rate and change?

Answers

Answer:The cost of a ticket is $12 per student

Step-by-step explanation:

36/3=$12 per students

$72/6=$12 per student

Can someone help me with 13,14,15 and 16 please

Answers

Answer: -3/5, 18/32, -10/11, and horizontal.

Step-by-step explanation: Remember the equation for slope? Δy (the change in y), over Δx (the change in x). In other words, rise over run. To solve for Δ,  you'd have to subtract the second output (y²) from the first (y¹). There are really no rules as to which has to be minuend and the subtrahend, so I chose to subtract (-1,6) from (4,3) for the first problem.

y¹-y²       Δy           3-6            -3

------  or  ----   so   -------   =    -----    The slope is represented by -3/5x    

x¹-x²       Δx           4-(-1)           5

__________________________________________________________

For the second, substitute the values again (make sure you keep the xs and ys together and in the right order, otherwise your answer will be incorrect). Remember that subtracting a negative number is basically just adding a positive number. That's why the slope is 18/32 and not 4/26.

 11-(-7)       18          

---------  = -------  

 29-(-3)     32      

___________________________________________________________

For number three, they give you a point, then tell you the y-intercept. With that in mind, also know the second point is (0,17), because the x value at the y-intercept is always 0.

7-17        -10

------ =   -------   The slope is -10/11x

11-0          11

___________________________________________________________

4-4            0

------   =  --------  

6-(-9)        15

Because there is no Δy, but there is Δx, we know that the line for y will be straight and shows no change- it will always be at 4. That said, the line will be horizontal.

I hope this helps. I know this is very confusing at first, but with practice, you'll eventually get the hang of it. I've tried to explain the rules to the best of my ability- let me know if there's anything you don't understand or need more help with.

Sincerely,

Lacia :))

Ms. Reynold's sprinkler system has 3 stations that water all parts of her front and back lawn. Each station runs for an equal amount of time. If it takes 14 minutes for the first 2 stations to water, how long does it take to water all parts of her lawn?

Answers

Answer:

21 minutes

Step-by-step explanation:

Given that :

Sprinkler has 3 stations

Each waters for an equal amount of time ;

First 2 stations water for 14 minutes

Time taken per station :

14 / 2 = 7 minutes

Time taken to water all part of her lawn :

Time taken per station * number of stations

7 minutes * 3 = 21 minutes

Determine if the relation represents a function. (2,1) (4,-7) (6,0) (4,-1) (2,9)

Answers

Answer:

It isn't a function

Step-by-step explanation:

2 and 4 both have 2 x values, and on a graph, a function cannot have more than 1 x value.

4. determine whether the relation is a function(
(1, -4), (2, 1), (3, 4), (3, 3), (4, 2)
B. yes
C.no

Answers

Answer:

No, bacause each X (first value), need to have just once Y value (second one). Here you have two values for 3 (4 and 4)

On a journey of 120 km, a motorist averages
less than 60 km/h. Will the journey take
more or less than 2 hours?

Answers

Answer:

More

Step-by-step explanation:

Because the journey is 120km long, and the mortoristgoes less than 60km per hour.  So in 2 hours, the motorist will go less than 120 km.  So he needs more than 2 hours to go 120 km

More because if he were doing 60 km/h, he would travel 120 km in 2 hours. Because he is going LESS than 60 km/h, it will take longer.

15,000,015,969+5,000,003

Answers

Answer:15,005,015,972Hope this helps!!

15. Write the slope-intercept form of the line described in the following:
Parallel to 3x + y = 5 and passing through (2,3)

Answers

Answer:

2x

Step-by-step explanation:

3x + y = 5

          = 5 - 3x

          = 2x

         

a bee flies at 12 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 14 minutes, and then flies directly back to the hive at 8 feet per second. It is away frim the hive for a total of 16 minutes. what equation can can you use to find the distance of the flowerbed from the hive? How far is the flowerbed from the hive?

Answers

Answer:

(x/12 + 840 + x/8) = 960

576 feets

Step-by-step explanation:

Given that :

Speed to flower bed = 12 ft/s

Speed back to hive = 8 ft/s

Time spent at flower bed = 14 minutes = 14*60.= 840

Total time = 16 mins = (16 * 60) = 960

Let distance between bee hive and flower bed = x

Time taken to flower bed = x / 12

Time taken back to hive = x /8

(x/12 + 840 + x/8) = 960 - - equation

L.C.M of 12 and 8 = 24

(2x + 20160 + 3x)/ 24 = 960

(2x + 20160 + 3x) = 23040

5x = 23040 - 20160

5x = 2880

x = 2880 / 5

x = 576

Distance between flowerbed and hive = 576 feets

Find the solution set of 3x + 11 < 50 using inverse operations and properties of inequality.

Answers

Answer:

the answer is 13

Step-by-step explanation:

x < 13 that's what the answer is

Answer: (-♾️ 13)

Step-by-step explanation:

3x+11<50

3x<50-11

3x<39

X<13

The solution will be (-♾️ 13)

Consider the complex number z = 27i. What are the characteristics of the cube roots of z?

Use the drop down menus to complete each sentence.

The cube roots are located on a circle with center at the origin and radius of
.

The cube roots have arguments which differ by
Pi over 3.

Answers

Answer:

3 and 2

Step-by-step explanation:

The cube roots are located on a circle with a center at the origin and a radius of 3. The cube roots have arguments that differ by 2 Pi over 3.

What is the complex number?

A complex number is one that has both a real and an imaginary component, both of which are preceded by the letter I which stands for the square root of -1.

The given complex number as;

z = 27i

The radius of the cube root is found as;

r=∛x

r=∛27

r=3

The cube roots are located on a circle with a center at the origin and a radius of 3 units.

The argument of a complex number,z=a+ib is;

Θ = tan⁻¹(b/a)

The argument of a complex number z=0+27i

Θ = tan⁻¹(27/0)

Θ = π/2

The cube roots have arguments that differ by 2 Pi over 3.

Hence, the correct answer for the drop-down menu will be 3 and 2.

To learn more about the complex number, refer to the link;

https://brainly.com/question/10251853

#SPJ2

An insurance company charges Ted $1400 per year for insurance on his home. The company has predicted that there is a 10% chance that Ted will make a claim on the policy of $5000. Create a probability distribution and determine what the insurance company can expect to make on this policy, on average?

Answers

Answer:

The insurance company can expect to make $900 on the policy

Step-by-step explanation:

The given parameters are;

The amount Ted pays per year for insurance on his home = $1,400

The value of the insurance policy = $5000

The chance that Ted will make a claim on the policy = 10%

The expected value is given as follows

Incidence    [tex]{}[/tex]                 Probability        Value                                   v × p

A claim is made  [tex]{}[/tex]          0.1                  $5,000 - $1,400 = -$3,600    -$360

No claim  [tex]{}[/tex]                      0.9  [tex]{}[/tex]               $1,400                                     $1260

Expected value is $1,260 - $360 = $900

The value the insurance company can be expected to make on average on the policy is $900                                                                                      

Help ASAP Please! Thanks in advanced :)

Answers

Answer:

x = 17

Step-by-step explanation:

Since it shows that the diagram is corresponding angles, we can set them equal to each other.

8x + 20 = 11x - 31

-3x = -51

x = 17 degrees

A survey asked students whether they would like a drama club, a step team, both clubs, or neither club. The results are below:
1. 34 students like a drama club
2. 27 students like step team
3. 14 students like both
4. 13 students like neither

Answers

Hi, you've asked an incomplete question. Here are the remaining questions:

a) Describe what each region in the Venn diagram represents.

Region I: In drama club, not in step team.

Region II: In both clubs.

Region III: In step team not in drama.

Region IV: Not in either club.

b) How many students were in only one of the two clubs?

c) How many students were in the drama club or in the step team?

d) How many students were surveyed?

Attached is the Venn diagram depicting the regions.

Explanation:

b) By adding the number of students that like drama club and those that like step club we can derive the answer:  34 + 27 = 61.

c) By adding 34 + 27 + those that like both (14) = 75.

d) The total number of students surveyed is gotten by summing any number in attached the diagram: 34 + 27 + 14 + 13 = 88.

HELPPPPP PLZ AND THANK U








Answers

Answer:

0.6

Step-by-step explanation:

multiply all of the numbers

5/4 x 4/3 x 3/5
= 1cm

The answer is 1cm

Hope this helps!

WHAT DO I DO WHEN I FAILED A ALGEBRA TEST

Answers

Answer:

Restudy and try to take it again.

Step-by-step explanation:

Try watching math videos and do extra studying on the areas you missed on your last attempt.

Answer:

Talk with your teacher

Step-by-step explanation:

 I recommend talking with your teacher and asking if you can retest or do extra credit to get your grade back up.

 Make sure you study and get really good grades on the rest of your assignments / next test to keep a passing grade.

Solve 56 - 10x>20 + 8x.
O A. x>-2
B. X<-2
C. x >2
D. x<2

Answers

Answer:

x<2

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Given

56 - 10x > 20 + 8x ( add 10x to both sides )

56 > 20 + 18x ( subtract 20 from both sides )

36 > 18x ( divide both sides by 18 )

2 > x , thus

x < 2 → D

five hundred fifty five divided in five

Answers

Answer:

Well I'm not sure if its a joke but here is the answer anyways LOL Its 111

Step-by-step explanation:

Answer:

111

Step-by-step explanation:

If you think about it, 5 ÷ 5 = 1

So all the digits are 1

111

(Plus I just used a calculator)

Hope I helped :)

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