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3 years ago

13

How can you change linear equation in form ax+by=c to y=mx+b form and vice versa

1 answer:

OlgaM077 [116]3 years ago

3 0

You simply have to take the linear equation form (ax + by = c) and solve for y. So you get:
by = c - ax
y = c/b - ax/b

Since c/b will be a constant, you can replace it with any variable (i.e. b), and so that represents the y-intercept and a/b will also be a constant, so that can also be replaced by any variable (i.e. m), and it represents the slope.

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ANSWER ONLY IF YOU KNOW ( no links or ill report you)

Elis [28]

Step-by-step explanation:

$C=2\pi r$

$C=2*\pi *28$

$C=56\pi$

Yes, it is because the circumference is always $2\pi$ times the amount of the radius.

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2 years ago

zhannawk [14.2K]

Answer:

Write a system of equations

Step-by-step explanation:

2x + y = 15

3x - y = 20

5x = 35

x = 7

2(7) + y =15

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2 years ago

jason mixed 8ml of a salt solution with 11ml of a 47% salt solution to make a 43%salt solution. find the percent salt concentrat

choli [55]

Let x% be the salt concentration of first solution.

Then in 8ml, amount of salt = $\frac{8x}{100}$

Given that to this 8ml solution, 11ml solution of a 47% salt solution is mixed.

amount of salt in 11ml of 47% salt solution is $\frac{11*47}{100}$ = $\frac{517}{100}$

So, total amount of salt in new mixture = $\frac{8x}{100} +\frac{517}{100} = \frac{8x+517}{100}$

But given that this new solution is a 43% salt solution.

Hence amount of salt in new mixture of (8+11)=19ml solution of 43% salt solution is $\frac{19*43}{100} = \frac{817}{100}$

Hence $\frac{8x+517}{100} = \frac{817}{100}$

8x+517 = 817

8x=817-517 = 300

x= 300/8 = 37.5

Hence the salt concentration in the first solution is 37.5%

8 0

3 years ago

Find the value of x (pic attached)

nlexa [21]

Answer: x=4, I added a photo of my work in case you need it I hope it helps

6 0

3 years ago

Read 2 more answers

The cost of pumpkin seeds is proportional to

zheka24 [161]

Answer:

Part 1) The unit rate is $\$0.25\ per\ ounce$

Part 2) A 56 ounce bag of pumpkin Seeds cost $14.00

Step-by-step explanation:

Part 1) What is the unit rate for the pumpkin seeds?

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

Let

y ----> the cost of pumpkin seeds in dollars

x ---> the weight in ounces

we have

For x=24 ounces, y=$6

Find the value of the constant of proportionality k

$k=\frac{y}{x}$

substitute the values

$k=\frac{6}{24}=\$0.25\ per\ ounce$

The unit rate is the same that the constant of proportionality k

therefore

The unit rate is

$\$0.25\ per\ ounce$

Part 2) How much would 56. ounce bag of pumpkin seeds cost?

we know that

The linear equation is equal to

$y=0.25x$

For x=56 ounces

substitute in the linear equation and solve for y

$y=0.25(56)=\$14.00$

6 0

2 years ago