If y = mx, and y is 12 when x is 4, then what is the constant of proportionality in this equation?

Answers

Answer 1

Answer:

3

Step-by-step explanation:

Given

y = mx ( m is the constant of proportionality )

Given y = 12 when x = 4 , then

12 = 4m ( divide both sides by 4 )

3 = m ← constant of proportionality

Answer 2

Answer:

m = 3

Step-by-step explanation:

Find the constant of proportionality by plugging in x and y into the equation, and solving for m

y = mx

12 = m(4)

Divide each side by 4

3 = m

So, the constant of proportionality is 3


Related Questions

(a) Anne, Barry and Colin share a prize in the ratio 3:4:5.
Colin gives 1/3 of his share to a charity.
What fraction of the whole prize does Colin give to the charity

Answers

Answer: 1/12

Step-by-step explanation:

1. Add up the 3 parts making 12

3:4:5 = 3+4+5=12

2. Out of the ratio we know that Colin gets 5 parts which is 5/12

3. If we subtract 5/12 from 1/3 we should get an answer of 1/12

5/12-1/3 =1/12

Can you please tell me the table of 12?

Answers

Answer:

you have the table of the 12in the photo

Step-by-step explanation:

Answer:

12×1=12

12×2=24

12×3=36

12×4=48

12×5=60

12×6=72

12×7=84

12×8=96

12×9=108

12×10=120

In your question

the table of 12 is correct

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The circumference of a circle is 22 cm.
What is the area of 1o of the circular region?
(Use = 2)
O 2.2 cm2
O 3.5 cm2
O 3.85 cm2
0 38.5 cm2

Answers

[tex] \bf \: Circumference \: of \: a \: circle = 2\pi \: r[/tex]

[tex] \implies22 = 2 \times \dfrac{22}{7} r[/tex]

[tex] \implies22 = \dfrac{44}{7} \times r[/tex]

[tex] \implies \: r = \dfrac{22 \times 7}{44} [/tex]

[tex] \implies \boxed{ r = \dfrac{7}{2} }[/tex]

Now,

[tex] \bf \: Area \: of \: circle = \pi {r}^{2} [/tex]

[tex] \rightarrow \: \frac{22}{7} \times ({ \frac{7}{2}) }^{2} [/tex]

[tex] \rightarrow \frac{22}{ \cancel7} \times \frac{ \cancel{49}}{4} [/tex]

[tex] \rightarrow \: 22 \times \frac{7}{4} [/tex]

[tex] \rightarrow \: 11 \times \frac{7}{2} [/tex]

[tex] \rightarrow \frac{77}{2} [/tex]

[tex] \rightarrow \: 38.5 \: cm {}^{2} [/tex]

Area of rectangle = 38.5 cm².

Rewrite 5 3/7 as an improper fraction.

Answers

the answer should be 38/7

Answer: 38/7

Step-by-step explanation:

5 3/7

5×7+3

35+3 = 38

38/7

HELP ASAP TIMED!!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

1 ans 35/37

2 ans 0.95

3 ans 12/37

4 ans 0.32

im struggling id.k the answer it may be a or c in my opinion helpp

Answers

Answer:

I,m pretty sure your right to go with A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

What is the length of EF in the right triangle below?
A: 54
B: 24
C: 1296
D: 585
E: 36
F: square root of 576

Answers

The length would be 36

The net of a rectangular pyramid and its dimensions are shown in the diagram. What is the total surface area of the rectangular prism in square inches?

Answers

Answer:

A 37

Step-by-step explanation:

MARK me branlies  please

in which quadrant is the point (-2, -3) located

Answers

(-2,-3) is located in Quadrant 3!!

What is(are) the intercept(s) of the exponential function shown below?

Answers

Answer:

option D

Step-by-step explanation:

for x intercept

the curve crosses the x asis at 1

then for y intercept it crosses the y axis at-2

that's all...have fun

Caitlyn ran 12 laps at the school track each lap was 3/5 of a mile how many miles did she run

Answers

First do 3/5 = .6 than do .6 times 12 because that’s how many laps she ran. So your answer is 7.2! Hope this helps!!

Answer:

Step-by-step explanation:

You have to multiply 12 × 3/5 = 7 1/5. Hope this helps

Can someone help me with this?

Answers

9514 1404 393

Answer:

2b +2c35h +15mef +eg

Step-by-step explanation:

The outside factor multiplies each term in parentheses.

a) 2(b+c) = 2b +2c

b) 5(7h +3m) = 5×7h +5×3m = 35h +15m

c) e(f +g) = ef +eg

x on the top and 24 on the bottom 11 on the top 6 on the bottum

Answers

Answer:

x = 44

Step-by-step explanation:

this is a proportion which you can solve by cross-multiplying:

6x = 24·11

6x = 264

x = 264/6

x = 44

Answer:

c

Step-by-step explanation:

Find the value of w.
108
40
w = [?]
Please help

Answers

The value of w is 54 degrees

How to determine the value of w?

From the figure, we can see that:

The angle w intercepts the arc that has a measure of 108 degrees

This means that:

w = 0.5 * 108

Evaluate the product

w = 54

Hence, the value of w is 54

Read more about arcs at:

https://brainly.com/question/25871159

#SPJ1

the temperature is dropping -3.75 degrees per hour. how many hours will the temperature drop for 4.5 hours

Answers

Answer:

It will drop 16.875 degrees

Step-by-step explanation:

3.75 × 4 = 15

.5 × 3.75 1.875

Answer:

-16.875

Step-by-step explanation:

This equation is quite simple and will only require one equation to solve. This is the equation,

-3.75×4.5=-16.875

The final answer is -16.875

Mikey bought 4 of the 500 raffle tickets sold to
win a new TV. What is the probability that he will
win the TV

Answers

Answer:

4/500

Step-by-step explanation:

Please help its urgent
The number of mosquitoes at the beginning of the summer was 4,000.The population of mosquitoes is expected to grow at a rate of 25% a month.How many mosquitoes will there be in 4 months.
9,006
9,765
5,433
9,766

Answers

Answer:

A. 9,006

Step-by-step explanation:

First we need to find 25% of 4,000

4,000/4 = 1000

So we know there are 1,000 mosquitoes a month.

So In 4 months it would be 4,000 more mosquitoes.

That would be 8,000 but i don't see that so I would say A.

Let me know if I'm correct.

Someone please answer #10,11,13 and 14 .. proportionss

Answers

Answer:

in pic

Step-by-step explanation:

PLEASE MARK BRAINLIEST

what is the error in the problem below

Answers

Answer:

27 - 6 × 4 is not 84 ( Filler because I need it to be 20 characters long)

List another value that would make this inequality true.
9n ≥ 117
(How did you solve this)

Answers

Answer:

n ≥ 13

13

Step-by-step explanation:

Please Help, Please Help, Please Help

Answers

Answer:

a=76 b=83

Step-by-step explanation:

for a. we divide 6688(area) by 88 to find the width bc 88*w=6688

6688/88 is 76 so a=76

Since 312 is perimeter we have to subtract 73 twice and then divide that by 2 bc 73+73+L+L=312

(312-73-73)/2=83 so b=83

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

Answer:

a.

Step-by-step explanation:

please click the heart and rate excellent and pa brainleist po please ☺️☺️

Smo answer these and show work plz

Answers

Answer:

Step-by-step explanation:

1) multiply the three dimension

V = 7 x 2 x 4 = 56 cm^3

2)  find the base area

base area = (9 x 3)/2 = 13,5 km^2

multiply the base area for the height

V = 13,5 x 5 = 67,5 km^3

3) find the trapezoid area

trapezoid area = [(base 1 + base 2) x h]/2 = [(4+6) x 1.7]/2 = 8.5 cm^2

mutiply the trapezoid area for the height that the priam would assume if the base will touch the ground

V = 8.5 x 4 = 34 cm^3

4) find the base area

base area = radius^2 x pi = 2^2 x pi = 12,57 yd^2

multiply the base area for the height

V= 12.57 x 6 = 75.40 yd^3

5) find the base area

base area = 9^2 x pi = 81 x pi = 254.47 ft^2

multiply the base area for the height

V = 254.47 x 5 = 1272.35 ft^3

6)  multiply the three dimensions

V = 12 x 11 x 9 = 1188 yd^3

7) find the trapezoid area

trapezoid area = [(12+6) x 6.3]/2 = [20 x 6,3]/2 = 63 in^2

mutiply the trapezoid area for the height that the priam would assume if the base will touch the ground

V = 63 x 16 = 1008 in^3

8) find the base area

base area = (leg1 x leg 2)/2 = (4 x 3)/2 = 6 m^2

multiply the base area for the height

V = 6 x 9 = 54 m^3

Answer:

hope this helps you out good luck with your math

Sidney is a salesperson. She sold a water heater for $410 and earned 14% commission.
How much commission did Sidney earn?

Answers

Answer:

$57.40

Step-by-step explanation:

Hope this helps!!

Gabe has a great job. He earns money on an hourly basis and he was given a signing bonus to switch jobs. He forgot how much they said they would pay him by hour but on his time card he has at 4 hours he has earned 1,120 and at 10 hours he has earned 1,480. What is an equation that will model this situation? How much money will he earn in a 40 hour work week?

Answers

Answer:

Pay for 40 hours would be [tex]\geq 40 * 148[/tex]

Step-by-step explanation:

Gabe works for 4 hours and earns $ 1,120

Pay for one hour is [tex]\frac{1120}{4} = 280[/tex]

When he works for 10 hours, he earns $1480.

Pay for one hour is

[tex]\frac{1480}{10} = 148[/tex]

Thus the per hours pay must be greater than or equal to 148 dollars

Pay for 40 hours would be [tex]\geq 40 * 148[/tex]

graph f(x)=x^2nand g(x)

Answers

Answer:

can sombody help awnser my problem

it's due in 10 minutes

AD and MN are chords that intersect at point B.


A circle is shown. Chords A D and M N intersect at point G. The length of A B is 9, the length of B D is x + 1, the length of M B is x minus 1, and the length of B N is 15.


What is the length of line segment MN?

Answers

Answer:

[tex]MN = 18[/tex]  

Step-by-step explanation:

Given

[tex]AB = 9[/tex]

[tex]BD = x + 1[/tex]

[tex]MB = x - 1[/tex]

[tex]BN = 15[/tex]

See attachment

Required

Determine MN

The products of the segments of two chords that intersect are always, equal.

So, we have:

[tex]AB * BD = MB * BN[/tex]

[tex]9 * (x + 1) = (x - 1) * 15[/tex]

Open bracket

[tex]9x + 9 = 15x - 15[/tex]

Collect like terms

[tex]15x - 9x = 9 + 15[/tex]

[tex]6x = 24[/tex]

Solve for x

[tex]x = \frac{24}{6}[/tex]

[tex]x = 4[/tex]

The length of MN is calculated as:

[tex]MN = MB + BN[/tex]

[tex]MN = x - 1 + 15[/tex]

Substitute [tex]x = 4[/tex]

[tex]MN = 4 - 1 + 15[/tex]

[tex]MN = 18[/tex]  

Answer:

C. 18 units

Step-by-step explanation:

Show work please fast!!

Answers

Answer:

Step-by-step explanation:

The number of tenths in 3 3/5

Answers

Answer:

18

Step-by-step explanation:

3 × 3/5 = 9/5

9/5 = x/10

x = (9 × 10) ÷ 5

x = 18



The area of the triangle below is 25/12 square centimeters. What is the length of the
base? Express your answer as a fraction in simplest form.
5/3 cm is the height

Answers

Answer:

5/2 cm

Step-by-step explanation:

Given that:

Area of triangle = 25/12 cm

Height of triangle = 5/3 cm

Let,

Length of the base = b

Recall :

Area of a triangle = 1/2 * base * height

Substitute the values above into the equation :

25 /12 = 1/2 * b * 5/3

25 /12 = 5b/ 6

Using cross multiplication

25 * 6 = 12 * 5b

150 = 60b

Divide both sides by 60 to isolate b

150/60 = 60b / 60

b = 5/2 cm

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