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3 years ago

Find the constant of proportionality (k). Using the value for k, enter an equation in the form of y = kx.

Mathematics

1 answer:

kow [346]3 years ago

7 0

Answer:

k = 4, y = 4x

Step-by-step explanation:

From the question, we get the ratio of :

x : y = 1 : 4

Two variables are proportional to each other if their ration is constant. The constant value is denoted by 'k' and is called as constant of proportionality.

In the question, the two variables are :

x = glasses of lemonade

y = lemons used

From the question, the ratio of y is to x is given by :

y : x is 24 : 6 = 4 : 1 or 24/6 = 4

32 : 8 = 4 : 1 or 32/8 = 4

28 : 7 = 4 : 1 or 28/7 = 4

8 : 2 = 4 : 1 or 8/2 = 4

16 : 4 = 4 : 1 or 16/4 = 4

So here the constant is 4 . Therefore, the constant of proportionality, k is 4.

So we can write the equation as :

y = kx

or y = 4x

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20000-250p=500 Please help me

Vinvika [58]

Answer: p=78

Step by step:

20000-250p=500

Subtract 20000 from both sides

-250p=-19500

Divide both sides by -250 to get p

p=78

I hope this helped you! :)

4 0

3 years ago

What is the median for the set of data?

AlexFokin [52]

Answer:

It's not quite right to give the direct answer, yet it's brainly, so i'll do my best. All you have to do is line up all of them from least to greatest, then you have to find the middle of all the numbers. the direct middle, like the middle of a number line, with these specific numbers. Hole this helps!

Step-by-step explanation:

6 0

3 years ago

Ally's science class was looking at bacteria through a microscope. Ally's teacher said some bacteria can be as small as 0.00365

mamaluj [8]

The length of the bacteria should be written in scientific notation.

0.00365 in scientific notation = 3 × 10^-3

Given.

length of the bacteria in decimal = 0.00365 cm long

Scientific notation is written in the format x × 10ⁿ

where,

x = any number between digit 1 and 10

n = exponent (positive or negative).

To have a negative exponent value, move decimal to the right

To have a positive exponent value, move the decimal point to the left.

In this case, the nearest significant value is 3

So move the decimal point three times to where 3 is

That is,

0.00365 = 3.65

Since the decimal point is moved to the right 3 times, n = - 3

we have 10^-3

Therefore,

0.00365 in scientific notation = 3 × 10^-3

brainly.com/question/10401258

4 0

2 years ago

The access code for a garage door consists of three digits. Each digit can be any number from 1 through 5, and each digit can b

Papessa [141]

Answer:

(a) 125

$(b) \dfrac{1}{125}$

$(c) \dfrac{124}{125}$

Step-by-step explanation:

We are given that access code consists of 3 digits.

Each digit can be any digit through 1 to 5 and can be repeated.

Now, this problem is equivalent to the problem that we have to find:

The number of 3 digit numbers that can be formed using the digits 1 to 5 with repetition allowed.

(a) We have 3 places here, unit's, ten's and hundred's places respectively and each of the 3 places have 5 possibilities (any digit allowed with repetition).

So, total number of access codes possible:

$5\times 5 \times 5 = 125$

(b) Suppose, an access code is randomly selected, what is the probability that it will be correct.

Formula for probability of an event E can be observed as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

Here, only 1 code is correct, so

Number of favorable cases = 1

Total number of cases = 125

So, required probability:

$P(E) = \dfrac{1}{125}$

$P(\overline E) = 1-P(E)\\\Rightarrow P(\overline E) = 1-\dfrac{1}{125}\\\Rightarrow P(\overline E) = \dfrac{125-1}{125}\\\Rightarrow P(\overline E) = \dfrac{124}{125}$

So, the answers are:

(a) 125

$(b) \dfrac{1}{125}$

$(c) \dfrac{124}{125}$

7 0

3 years ago

If (x,y) is a solution to the system of equations shown below, what is the product of the y-coordinates of the solutions? x^2+4y

aliina [53]

Answer:

The product of the y-coordinates of the solutions is equal to 3

Step-by-step explanation:

we have

$x^{2}+4y^{2}=40$ -----> equation A

$x+2y=8$ ------> equation B

Solve by graphing

Remember that the solutions of the system of equations are the intersection point both graphs

using a graphing tool

The solutions are the points (2,3) and (6,1)

see the attached figure

The y-coordinates of the solutions are 3 and 1

therefore

The product of the y-coordinates of the solutions is equal to

(3)(1)=3

4 0

3 years ago