proportional constant

Proportional Constant

Answers

Answer 1

Answer:

The value of the proportionality constant (y to x) is: 3/10

Step-by-step explanation:

We know the slope of any graph where 'y' varies directly with 'x' gives us the constant of proportionality 'k'.

i.e. y = kx

and k = y/x

Given the points

(100, 30)(300, 90)(500, 150)

We know that the proportionality constant (y to x) is:

k = y/x

For the point (100, 30)

k = 30/100=3/10

For the point (300, 90)

k = 90/300=3/10

For the point (500, 150)

k = 150/500=3/10

As the value of proportionality constant (y to x) is the same.

i.e. k = 3/10

Thus, the value of the proportionality constant (y to x) is: 3/10


Related Questions

Write an equation for the line that passes through
(2,7) and (-1,-8)

Answers

Answer:

slope = 5

y intercept = -3

Equation = y=5x-3

Step-by-step explanation:

-8-7/(-1-2)=5

plug in a point to find y intercept

7=5(2)+b

solve for b

b=-3

write final equation:

y=5x-3

(can I get brainliest please)

literally putting this at 45 points. can someone help me please

Answers

Answer:

15.4%

Step-by-step explanation:

Volume of a cylinder:

V = πr²h

Container A

r = 10 ft, h = 11 ftV = π*10²*11 = 1100π ft

Container B

r = 7 ft, h = 19 ftV = π*7²*19 = 931π ft²

After pump out the container A has the level of:

1100π - 931π = 169π

Level % in the container A:

169π/1100π×100% = 15.4% rounded to the nearest tenth

So far, Charlie has driven 9.3 miles. He needs to drive a total of 29 miles. How many more miles must Charlie drive?

Answers

29-9.3= 19.7 miles left to drive.

Karissa earns $200 per week plus $25 per item she sells. Which
equation models the relationship between her pay p per week and the
number of items n she sells?
A. p = 200n + 25
C. n = 25p + 200
B. p = 25n + 200
D. n = 200p + 25

Answers

Answer:

Step-by-step explanation:

p=200+25(n)

How do I find the surface area?

A. Find the perimeter of all 6 sides and add it together.
B. Find the area of all 6 sides and add it together.
C. Find the length of each side and add it together.

Answers

Answer:

B.Find the area of all 6 sides and add it together

Step-by-step explanation:

The answer is B.Find the area of all 6 sides and add it together

Surface area is the sum of the areas of all faces

Imelda jogs 2 3/4 miles each weekday, Monday through Friday. On Saturday, she logs 2.5 times the daily weekday distance. On Sunday she jogs 3/4 of the daily weekday distance.
How many miles does Imelda jog on all 7 days combined?

Answers

Answer: 22.6875 miles

Step-by-step explanation:

Monday = 2 3/4 miles = 2.75 miles

Tuesday = 2.75 miles

Wednesday = 2.75 miles

Thursday = 2.75 miles

Friday = 2.75 miles

Saturday = 2.5 × 2.75 = 6.875 miles

Sunday = 0.75 × 2.75 = 2.0625 miles

Total = 2.75 miles + 2.75 miles + 2.75 miles + 2.75 miles + 2.75 miles + 6.875 miles + 2.0625 miles

Total = 22.6875 miles

30% of $40 is blank money

Answers

Answer:

12

Step-by-step explanation:

30% is 0.3,  40 x 0.3 . is 12 :DD

Which sentence is written correctly?
O A
No one know who hid the book in the desk.
OB.
Whoever sent me flowers are my new best friend.
O C.
Everyone is invited to Anne's party next week.
OD. All of my friends is going to the big dance.

Answers

C would be the correct answer

-2√ 20 + 3√ -18

I need help with the steps pls

Answers

Answer:

−4√5+9i√2

Step-by-step explanation:

You will get that when you simplify each term

what is 69/4 as a fraction

Answers

Answer:

17 1/4

Step-by-step explanation:

69/4 is already a fraction but we can turn it into a mixed number.

69/4 → 69 ÷ 4 → 17.25 or 17 1/4

Best of Luck!

Answer:

you mean Decimal 17.25

Step-by-step explanation:

Consider the sequence 100, 95, 90, 85, 80, 75 ...
What is the value of f(8)?

Answers

Answer:

f(8) = 65

Step-by-step explanation:

Find a pattern in the sequence. It might be an arithmetic sequence (always adds or subtract by a certain number), or a geometric sequence (always multiplies or divides by a certain number).

To find a pattern in this decreasing sequence, we find either the common difference or the common divisor of each pair of consecutive numbers.

• 100 - 95 = 5

• 95 - 90 = 5

• 90 - 85 = 5

• 85 - 80 = 5

• 80 - 75 = 5

Now, we know that this is an arithmetic sequence, and the common difference is 5.

To calculate f(8), we find the 8th term in the sequence. We can do that by counting the terms in the sequence and using the common difference, 5, that we found, to continue the sequence.

• f(1) = 100

• f(2) = 95

• f(3) = 90

     ......

• f(7) = 70

f(8) = 65

please help meeeeeeeeeeeee

Answers

Answer:

x=75

Step-by-step explanation:

The total degrees of a pentagon is 540

120+120+2(75)+75+75

120+120=240

2(75)=150

75+75=150

240+150+150=540

Find the diagonal of the box using the Pythagorean Theorem.

Answers

Answer:640^2

Step-by-step explanation:

The Pythagorean Theorem states that the sum of the squared sides of a right triangle equals the length of the hypotenuse squared. You might recognize this theorem in the form of the Pythagorean equation: a 2 + b 2 = c 2.

8cm^2+24cm^2=640^2

Which expression is equivalent to 4^-2 x 7^-2

Answers

Answer:

197/49-2x

Step-by-step explanation:

blank ÷ 3/7= 7/15. ​

Answers

Answer:

1 4/45

Step-by-step explanation:

Which is the equation and there’s a line that passes to the point to (-4,4) and is parallel to the line Y equals 1/2 X -4

Y=2x+12

Y=1/5x-10

Y=-2x+5

Y=-4x-5

Answers

I think it’s the second one correct me if I’m wrong

2+8

PLSSS HELP PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS

Answers

Answer:

10

Step-by-step explanation

2 + 8= 10

Answer:

10

Step-by-step explanation:

2 + 8 = 10

Number line:

5-6-7-8-9-10-11-12-13

Move to the right 2 spaces and you get 10.

Simplify:
12+(-38) + 27
A.-77
B. -53
C. - 1
D. 1
E 77

Answers

The answer is D. 1


I hope I’m correct

Answer: the answer is 1

Step-by-step explanation: just simplify it

A number is 3 more than 2nd number, the sum of the two numbers is 17. Find the
numbers.

Answers

your numbers are 7 and 10

hello can you answer these?

Answers

Answer:

The first one is C

Step-by-step explanation:

The ramp is equal to 180

180-6 = 174

What is the slope of a line that is parallel to the graph of the equation y = 10x - 20?

Answers

Answer:

y parallel =10 or 10

Step-by-step explanation:

What’s the probability?

Answers

Answer:

sorry I don't know

Step-by-step explanation:

OK

OK jsjzjxjxndzkxk

s

PLZ MARK ME AD BRAINLIST

Solve the inequality.. 8a + 2(1- 5a) ≤ 20 Please helpp
and thank you!

Answers

Answer:

brainleist

Step-by-step explanation:

Answer:

8a+2(1−5a)≤20. 8a+2−10a≤20. 8a−10a+2−2≤20−2. −2a≤18. −2a÷−2≥18÷−2. a≥−9.

Step-by-step explanation:

100 POINTS PLEASE HELP!!!!
Problem solving Reasoning The perimeter of an equilateral triangle is 17 cm less than the
perimeter of a rectangle.
The length of one side of the triangle is 5 cm.
a
a Construct an equation for the perimeter of the rectangle.
b What is the perimeter of the rectangle?​

Answers

You put 5 points not 100, just saying, haha.

find x intercept if y=-5x+60

Answers

Answer:

-12 bla bla bla bla bla bla bla

-12 I’m pretty sure it’s the right answer

(-3, 1), (-17, 2) find the slope show the work

Answers

Answer:

1/-14 or -0.071428571428571

Step-by-step explanation

(-3,1) ___ -3 is x1 while 1 is y1

(-17, 2) ___ -17 is x2 while 2 is y2

slope formula is m = y2-y1/x2-x1

plug them in: m = 2-1/-17-(-3), which equals 1/-14 or -0.071428571428571

Yesterday Cindy did of her homework. Today she did
another of her homework. How much of her homework
did she finish?

Answers

yesterday and another of her homework?

Which weighs more: a watermelon that weighs 7.5 kilograms or a baby that weighs 12 pounds? Note: 1 pound is about 0.45 kilograms.

Answers

Answer:

The baby weighs less then the watermelon.

Step-by-step explanation:

The 12 pounds of the baby = about 5.4 kilograms unlike the 7.5 kilograms of the watermelon.

The 12 pounds of the baby = about 5.4 kilograms unlike the 7.5 kilograms of the watermelon. the baby weighs less than the watermelon.

math question trignometry

Answers

Answer:

the answer is none of these

Step-by-step explanation:

If a= 5^99 x 2^98 and b= 5^72 x 4^38 show ab has 172 digits when written as a ordinary number
This is a proof question. Please show step by step.

Answers

Step-by-step explanation:

ab

= (5⁹⁹ * 2⁹⁸) * (5⁷² * 4³⁸)

= 2⁹⁸ * 2⁷⁶ * 5⁹⁹ * 5⁷²

= 2¹⁷⁴ * 5¹⁷¹

= 2³ * (2¹⁷¹ * 5¹⁷¹).

The 2¹⁷¹ * 5¹⁷¹ will give 171 ending zeroes as 2 * 5 = 10.

And there is a 8 infront as 2³ = 8.

Hence altogether there are 171 + 1 = 172 digits.

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