All categories

3 years ago

On a recent day, 8 euros were worth $9 and 24 euros were worth 27.

Mathematics

1 answer:

nikitadnepr [17]3 years ago

6 0

This question is incomplete, here is the complete question:

On a recent day, 8 euros were worth $9 and 24 euros were worth $27. Write an equation of the form y = kx to show the relationship between the number of euros and the value in dollars.

The equation that represents the relationship between the number of euros and the value in dollars is y = 1.125 x

Step-by-step explanation:

On a resent day;

8 euros were worth $9

24 euros were worth $27

We need to write an equation of the form y = kx to show the relationship between the number of euros and the value in dollars

∵ The form of the equation is y = kx, where x is the number of

euros and y is the value in dollars

∵ 8 euros were worth $9

∴ (8 , 9) is an ordered pair belong to the equation

∵ 24 euros were worth $27

∴ (24 , 27) is another ordered pair belong to the equation

To find k substitute x and y in the equation by the coordinates of one of these two points

∵ x = 8 and y = 9

∵ y = kx

∴ 9 = 8k

- Divide both sides by 8

∴ 1.125 = k

- Substitute the value of k in the equation

∴ y = 1.125 x

To check the equation substitute x by the x coordinate of the 2nd point if it gives the same value of the y-coordinate of the point then the equation is true

∵ x = 24

∵ y = 1.125 x

∴ y = 1.125(24)

∴ y = 27 the same value of the y-coordinate of the point

∴ The equation is true

The equation that represents the relationship between the number of euros and the value in dollars is y = 1.125 x

Learn more:

You can learn more about the linear equation in brainly.com/question/4326955

#LearnwithBrainly

You might be interested in

Given that 2x-y÷2y-x=6÷1 find x:y

Korolek [52]

Answer:

Example Problem

Solve 2x+3=15.

Example Answer

x=6

How to Check Your Answer with Algebra Calculator

First go to the Algebra Calculator main page.

Type the following:

First type the equation 2x+3=15.

Then type the @ symbol.

Then type x=6.

Try it now: 2x+3=15 @ x=6

Step-by-step explanation:

7 0

3 years ago

Use synthetic division and remainder theorem p(x) = 3x^3 - 5x^2 - x + 2. p(-1/3)=

Alik [6]

Answer:

5/3

Step-by-step explanation:

-1/3 goes on the outside and since we have our polynomial in standard form with no in between terms missing, 3,-5,-1,2 go inside because they are the coefficients of our polynomial.

-1/3 | 3 -5 -1 2

-------------------------------------

First step bring the 3 down inside. (3+0=3)

-1/3 | 3 -5 -1 2

-------------------------------------

Whatever goes below the bar, must be multiplied by outside number and put directly below next number inside.

-1/3 | 3 -5 -1 2

| -1

-------------------------------------

The numbers lined up vertically are added to get the numbers underneath the bar.

-1/3 | 3 -5 -1 2

| -1

-------------------------------------

3 -6

Again any number below the bar gets multiply to the number outside.

-1/3 | 3 -5 -1 2

| -1 2

-------------------------------------

3 -6

Again the numbers lined up vertically above the bar get added to get the number that goes underneath the bar there.

-1/3 | 3 -5 -1 2

| -1 2

-------------------------------------

3 -6 1

Multiply to outside number 1(-1/3)=-1/3.

This goes under the 2 inside.

-1/3 | 3 -5 -1 2

| -1 2 -1/3

-------------------------------------

3 -6 1

The last number we are fixing to be put is the remainder of (3x^3-5x^2-x+2)/(x+1/3) or you could say it is the value of p(-1/3) since:

P(x)/(x-c)=Q(x)+R/(x-c)

Multiply both sides by (x-c):

P(x)=Q(x)(x-c)+R

If you evaluate P at x=c, we get R:

P(c)=Q(c)(c-c)+R

P(c)=Q(c)*0+R

P(c)=R.

Let's finish:

-1/3 | 3 -5 -1 2

| -1 2 -1/3

-------------------------------------

3 -6 1 5/3

This means p(-1/3)=5/3.

We could have also got this by directly plugging in (-1/3) for x into 3x^3-5x^2-x+2.

7 0

3 years ago

Can someone graph it for me and answer a or b???

victus00 [196]

First differences are all 7.3. You don't need a graph to know that is a linear function.

4 0

3 years ago

1377/8 in simplest form Thank you!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

nlexa [21]

To convert a fraction to simplest form we need to find the greatest common factor.

The fraction can not be simplified because it is already in simplest form but we can change it to a mixed fraction.

Steps to solve

1) Set up the long division.

2) Calculate 13 ÷ 8, which is 1 with a remainder of 5.

3) Bring down 7, so that 57 is large enough to be divided by 8.

4) Calculate 57 ÷ 8, which is 7 with a remainder of 1.

5) Bring down 7, so that 17 is large enough to be divided by 8.

6) Calculate 17 ÷ 8, which is 2 with a remainder of 1.

7) Therefore, 1377 ÷ 8 = 172 with a remainder of 1.

Express as a mixed fraction = $172 \dfrac{1}{8}$

5 0

3 years ago

Cuánto le falta a 1/4 para llegar a 4/5

german

Answer:

4/5 - 1/4

Step-by-step explanation:

4/5 =0.8

1/4=0.25

⇒0.8 - 0.25 = 0.55 (decimal form)

⇒4/5 - 1/4 = 11/20 (exact form-fraction)

6 0

3 years ago