DIRECT PROPORTION EQUATION QUESTIONS
Q1)
y is directly proportional to x.
When x = 500, y = 10
a)
Find a formula for y in terms ofx.
b)
Calculate the value of y when x=350​

Answers

Answer 1

Answer:

a. y = x/50

b. 7

Step-by-step explanation:

Here, we have a direct proportional relationship

a) y = kx

where k is the proportionality constant

10 = k * 500

500k = 10

k =

10/500 = 1/50

The formula is;

y = x/50

b. when x = 350

y = 350/50

y = 7


Related Questions

x^2+5x+4=0 how do I factor this because Im trying to solve quadratic equations by factoring and i dont understand it

Answers

Answer:

(x + 4)(x + 1)

Step-by-step explanation:

Can someone please help me with this questions

Answers

Answer:

a-4

Step-by-step explanation:

b-diagramm

c-1100mn

The figures are similar. Find x.

Answers

Answer:x=16.5

Step-by-step explanation:

22divided by 4 is 5.5

5.5 times 3 is 16.5

Spoorthi plants 5 tree seedlings for every 3 that Hammad plants. If Hammad planted 6 trees in a minute, how many did Spoorthi plant?

Answers

Answer:
10 plants

Explanation:
5 plants for every 3 plants
3 x 2 = 6
5 x 2 = 10
10 because 5 times 2 is 10

(5x) + (9x) + (11x) + (6x) + (10x) = ?

Answers

Answer:

41x

Step-by-step explanation:

Answer:

41x

Step-by-step explanation:

Marcy, a 7th grader, decided to be a rebel one day and climb a 20-foot ladder up to the roof of the school in-between classes. When she decided to do this, Mr. Hill’s sixth sense was activated, and he decided to go check the roof area. Marcy climbed at a steady rate and was 14 feet up the ladder after 28 seconds of climbing when Mr. Hill burst into the room, saw her, and yelled for her to stop. Surprised, Marcy slipped and fell down the ladder at a steady rate for 2 seconds before she caught herself 6 feet up the ladder. A few minutes later, she was safe in ISS. Choose an equation for the relationship between Marcy’s distance climbing up the ladder and time.

Answers

Answer:

69 feet per second

Step-by-step explanation:

Answer:

wow ok so- thats my name- i'd climb to the roof, yes. aand the answer is gonna be below.

Step-by-step explanation:

14 - 6 = 8

28 - 2 = 26

the relationship is both differences are in the 2 times tables.

Can 0.1/100 be simplified?

Answers

no 0.1/100 cannot be simplified

Answer:

Yes, the answer would be 0.001

Step-by-step explanation:

Willa bought 5 tops that cost $72 after she applied a $20-off coupon. The tops all cost the same amount. Which equation can be used to find the cost in dollars of each top?
A5t + 20 = 72

B5t - 20 = 72

C20t = 5 = 72

D20t - 5 = 72

Answers

Answer:

B

Step-by-step explanation

5 tops minus the 20 from coupon, to get the total

Can you help me please​

Answers

Answer:

Step-by-step explanation:

y ∝  x

y= k*x

As given y =-16, x=4 putt in above formula to get value of K

k = -16/4  = -4

Hence also given that ,

y =20

k = -4

x= ?

x= y/k    (using formula)

x =20 / -4

x = -5

Can someone please help me with this questions

Answers

Step-by-step explanation:

a. 3⁴

b. 7⁵

c. 10²

d. 5⁷

Hope this helps?

Blaise bought a used car for $3,250. He added a turbocharger that cost t dollars and a new air intake manifold that cost $178, bringing the total cost to $3,587. This situation can be represented by the equation $3,250 + $178 + t = $3,587. How much did the turbocharger cost?

Answers

Answer:

t = $159

Step-by-step explanation:

3587-3250-178 = t

t = 159

Change to y = mx + b form. 3y - 3x = 9​

Answers

Answer:

y = x+3

Step-by-step explanation:

3y-3x = 9

3y-3x+3x = 9+3x

3y = 3x+9

3y/3 = 3x/3+9/3

y = x+3

Hey there!

The answer is [tex]y=x+3[/tex]

[tex]3y-3x=9[/tex]

[tex]\frac{3y}{3} -\frac{3x}{3} =\frac{9}{3}[/tex]

[tex]y-x=3[/tex]

[tex]y-x+x=3+x[/tex]

[tex]y=x+3[/tex]

Have a great day!

. Toby invested £4500 for 2 years in a savings account. He was paid 4% per annum COMPOUND
interest. How much did Toby have in his savings account after 2 years?

Answers

Answer:

£4867.2

Step-by-step explanation:

Given data

P= £4500

T=2 years

R= 4%

The compound interest expression

A=P(1+r)^t

substitute

A= 4500(1+0.04)^2

A=4500(1.04)^2

A=4500*1.0816

A=£4867.2

Hence the balance is £4867.2

Answer:

P(1+r/100)^n - P

4500(1+4/100)^{2}-4500 =367.2

Step-by-step explanation:

Zoe looks in her closet and finds that she has 3 shirts for every 2 pairs of shoes,
If she has 12 shirts, how many pairs of shoes does she have?

Answers

Answer:

8

Step-by-step explanation:

She has 8 because 3*4=12 so act like this is a fraction and multiply 2 by 4 and you would get 8

The value of x =
60°
5
x
30°

Answers

Answer:

10

Step-by-step explanation:

with reference angle 30°

perpendicular (p) = 5

hypotenuse (h) = x

Now

sin 30° = p / h

1 / 2 = 5 / x

x = 10

Hope it will help :)

Find each of the trigonometric ratios. I am going to give brainliest to whoever gets this right.

Answers

Answer:

Step-by-step explanation:

sin(Z) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

         = [tex]\frac{YZ}{XZ}[/tex]

         = [tex]\frac{9}{15}[/tex]

         = [tex]\frac{3}{5}[/tex]

cos(Z) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

          = [tex]\frac{XY}{XZ}[/tex]

          = [tex]\frac{12}{15}[/tex]

          = [tex]\frac{4}{5}[/tex]

tan(Z) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

          = [tex]\frac{XY}{YZ}[/tex]

          = [tex]\frac{9}{12}[/tex]

          = [tex]\frac{3}{4}[/tex]

sin(X) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

          = [tex]\frac{YZ}{XZ}[/tex]

          = [tex]\frac{12}{15}[/tex]

          = [tex]\frac{4}{5}[/tex]

cos(X) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

           = [tex]\frac{XY}{XZ}[/tex]

           = [tex]\frac{9}{15}[/tex]

           = [tex]\frac{3}{5}[/tex]

tan(X) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

          = [tex]\frac{YZ}{XY}[/tex]

          = [tex]\frac{12}{9}[/tex]

          = [tex]\frac{4}{3}[/tex]

I don’t know what this is

Answers

Answer:

me niether tbh

Step-by-step explanation:

Corey spent $17.00, inculding sales tax, on 2 sanwiches cost $5.25 each and the total sales tax was $0.92. What was the cost of each drink.

Answers

Answer:

Well to start you already know the sandwich cost 5.25 and the total sales tax .92.

To find the cost of each drink

5.25 x 2= 10.50

10.50+.92=11.42

17.00-11.42= 5.58

5.58/3= 1.86

So the cost per Drink is $1.86

Step-by-step explanation:

Hope this helped!

True or false A graph that shows distance per unit of time shows speed. _________

Answers

True

hope this helped

HELP MEEEE!!!!!!!!!!!!!!!!!!!! I will give brainliest to whoever answers correctly first.

Answers

Answer:

A. 260

Step-by-step explanation:

(I did the math and this is what I got tell me if I'm wrong!)

Answer:

B

Step-by-step explanation:

So, she needed a foil of double the dimensions of the rectangular piece of paper to wrap the gift. Let's say the dimensions of the piece of paper were 12 by 10. Double both those and you get 24*20. Which is 480, and that makes sense since you have two dimensions you are doubling, which is essentially the area times 4.

please help me put these in order if u can

Answers

i believe the answer is 3,1,5,4,2.

Answer:

5x+8y=480

5(16)+8y=480

80+8y=480

8y=40

y=50

Step-by-step explanation:

x= kids ticket sold

y= adult tickets sold

5x+8y = sales

Plug in 16 for x and 480 for sales

5(16)+8y= 480

Solve for y

80+8y=480

400=8y

y=50

Supercalifragilisticexpialidocious

Answers

Answer:

Is this the free points? srry if it's not

Step-by-step explanation:

What is the measure of angle n?

Answers

Answer:

45 degrees

Step-by-step explanation:

The exterior angles of any polygon is 360 degrees. There are 8 exterior angles, so you have:

8n = 360

divide both sides by 8

n = 45 degrees

Answer: 45

Step-by-step explanation:

Octagon 8 angles

All exterior angles add up to 360 degrees

Meaning we divide

360/8 = 45

If the nurse to patient ratio in a long term care unit is​ 3:15, how many nurses would you expect to see in a unit with 72

Answers

If there’s 72 patients, then there will be 360 nurses. If there’s 72 nurses, then there will be 14.4 patients.

Which angle has the same measurement as angle DEA, and how do you know that the measurement is the same? Will mark Brainly or how ever you call it.

Answers

Answer:

∠DEA=∠BAC

Step-by-step explanation:

∠DAE=∠BCA (corresponding angles)

Angles in a triangle add up to 180:

Angles in ΔDAE=Angles in ΔABC

∠DAE+∠EDA+∠DEA=∠BCA+∠ABC+∠BAC

∠EDA+∠DEA=∠ABC+∠BAC (since ∠DAE=∠BCA, we can cancel them out)

∠DEA=∠BAC (∠EDA=∠ABC=90)

How many terms are in this expression? d + 8c + 7 ​

Answers

Answer:

2

Step-by-step explanation:

What is the measure of angle X?_

Answers

Answer:

Hey this isn’t the answer, sorry

Step-by-step explanation:

I just need this answer to so let me know if you get the answer Thank you

What is the measure of arc ADC?

Answers

Answer: The answer would be 315 if you are looking for the remaining angle if you're looking for the actual measure of the remaining section of the circumference, then the answer would be approximately 49.481

Step-by-step explanation:

Because the remainder of the circle is the answer you're looking for, you can subtract 45 from 360 and get your answer, whenever you know the measure of one angle, and you are looking for the remaining angle, you can use this strategy.

You already know the angel of the remainder, and you can use this to find the section of the circumference shown. First you need to find the circumfrence, to do this you must use the equation C equals pi radius squared. You put 9 in for the radius and you get approximately 56.55, you then divide this by 360 and get 0.15708333, you then multiply it by the angle you found early, 315. You then should get approximately 49.48125.

Answer:

315

Step-by-step explanation:

The other answer is correct, a minor clarification

measure of an arc is an angle, if the text had wanted the physical length of the arc ADC it would have asked for arc length of ADC

Trigonometric functions

Answers

Answer:

in mathematics,the trigonometric functions are real function which relate an angle of a right angle triangle to ratios of two side lengths.They are widely used in all sciences that are related to geometry,such as navigation,solid mechanics,celestial mechanics,geodesy,and many others.

Every two years, there is a local election in a small town. In 2015, a total of 29,000 voters turned out in the election. In 2017, the number of voters decreased by 16%. In 2019, the number of voters increased by 22%. How many voters turned out in the election for 2019?

Answers

Answer:

29730 voters

Step-by-step explanation:

so:

in 2017- 16/100=0.16 x 29,000=4640 so 29,000-4640=24360 voters

in 2019-22/100=0.22 x 24369=5361.18 so 24369+5361.18=29730.18 voters

I hope this helped

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