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vekshin1
3 years ago
6

The equation y = kx represents a proportional relationship between x and y, where k is the constant of proportionality. For a mo

ving object, the equation d = st represents a proportional relationship between distance (d) and speed (s) or between distance (d) and time (t). Explain the different ways that you can define the constant of proportionality for this equation. Then describe some other equations that represent proportional relationships in the real world and explain why they’re useful. Research on the Internet, if needed.
Mathematics
1 answer:
valentinak56 [21]3 years ago
3 0

Answer:

Step-by-step explanation:

y = kx represents a proportional relationship between x and y

where,

k is the constant of proportionality

Given:

d = st

Where,

d = distance

s = speed

t = time

The constant of proportionality of the quantities d, s and t is speed(s)

Speed(s) remains constant at a given time and distance

The equation can be written in different forms below:

d = st

S = d/t

t = d/s

Real world example of proportional relationships

• F=ma

Where,

F=Force

m=mass

a=acceleration

F=ma is used to calculate force

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ira [324]

Answer:

It would be (D 8)

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Round to the nearest tenth if necessary.
mihalych1998 [28]

Distance formula: sqrt((x2-x1)^2 + (y2-y1)^2)


distance = sqrt((-1 -2)^2 + (-5-5)^2)
distance = sqrt(109)

Distance = 10.44

3 0
2 years ago
Two lines, A and B, are represented by equations given below: Line A: y = x − 2 Line B: y = 3x + 4 Which of the following shows
gavmur [86]

The solution to the system of equations is (-3, -5) because the point satisfies both equations

<h3>What is a linear function?</h3>

A linear function is in the form:

y = mx + b

Where m is the slope (rate of change) and b is the y intercept

Line A:

y = x − 2  (1)

Line B:

y = 3x + 4   (2)

Solving both equations simultaneously gives:

x = -3, y = -5

The solution to the system of equations is (-3, -5) because the point satisfies both equations

Find out more on linear function at: brainly.com/question/4025726

6 0
2 years ago
Suppose a bag of marbles contains five green marbles, three blue marbles, six yellow marbles, and four white marbles. Maria shak
Nimfa-mama [501]

Answer:

a) blue = 1/6

b) white = 2/9

c) green or yellow = 11/18

d) neither blue nor yellow = 1/2

Step-by-step explanation:

First, you have to find the total marbles Maria has in the bag.

5 green + 3 blue + 6 yellow + 4 white = 18 marbles.

To find the probability you can use the formula:

probability = favorable outcomes / total number of possible outcomes

a) For blue

the amount of blue marbles are 3, so the probability is 3/18, simplifying the fraction you get 1/6.

b) For white

the amount of white marbles are 4, so the probability is 4/18, simplifying the fraction you get 2/9.

c) For green or yellow

the amount of green marbles are 5 and the amount of yellow marbles are 6, so the probability is 11/18.

d) neither blue nor yellow

the amount of blue marbles are 3 and the amount of yellow marbles are 6, so there are 9 out 18 that are not blue nor yellow, so the probability is 9/18, simplifying the fraction you get 1/2.

8 0
3 years ago
Four large oranges are squeezed to make six glasses of juice. how much juice can be made from six oranges? 7 glasses 8 glasses 9
Rudik [331]
Lol, this sounds highly inaccurate. I have done orange squeezing myself. I can tell you, it's very disappointing. But for the sake of sayin it, let's do the math!!

Alright, so we know that FOUR large oranges makes SIX glasses of juice. It wants to know haw many glasses can be made when you increase the amount of oranges to SIX.

Well, that's simple. Set up an equation! 4/6=oranges over glasses.
6/x=oranges to unknown glasses.
Well, to solve this, we do exactly as the fractions imply. We divide. We need to know the orange-to-glass-ratio on a SMALLER scale.
So, simply take the denominator, and divide it by the numerator! 6/4=1.5
So, we know it takes 1 orange to make 1.5 glasses of juice now, 1/1.5
So, multiply both sides by 6, since that's how many oranges we have NOW.
1*6=6, 1.5*6=9
As a fraction, it's originally 6/x, but NOW it's 6/9

The answer is 6 oranges makes 9 glasses of juice

~Hope this helps!
7 0
3 years ago
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