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2 years ago

Write the following equation in the general form Ax + By + C = 0.

Mathematics

1 answer:

Rudik [331]2 years ago

3 0

Answer:

Okay, so to put the equation 2x+y=6 into Ax + By + C = 0 form, you must subtract the six from both sides, and that makes the equation 2x + y - 6 = 0.

Step-by-step explanation:

Hopefully this is correct and helpful.

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Jane has 6 more than twice the number of pairs of shoes that Mary has.

goldfiish [28.3K]

Answer:

im not sure

Step-by-step explanation:

6 0

2 years ago

Please can I have an explanation also, I am terrible at these kinds of questions!

wlad13 [49]

Answer:

The fraction of the beads that are red is

Step-by-step explanation:

Algebraic Expressions

A bag contains red (r), yellow (y), and blue (b) beads. We are given the following ratios:

r:y = 2:3

y:b = 5:4

We are required to find r:s, where s is the total of beads in the bag, or

s = r + y + b

Thus, we need to calculate:

$\displaystyle \frac{r}{r+y+b} \qquad\qquad [1]$

Knowing that:

$\displaystyle \frac{r}{y}=\frac{2}{3} \qquad\qquad [2]$

$\displaystyle \frac{y}{b}=\frac{5}{4}$

Multiplying the equations above:

$\displaystyle \frac{r}{y}\frac{y}{b}=\frac{2}{3}\frac{5}{4}$

Simplifying:

$\displaystyle \frac{r}{b}=\frac{5}{6} \qquad\qquad [3]$

Dividing [1] by r:

$\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{1+y/r+b/r}$

Substituting from [2] and [3]:

$\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{1+3/2+6/5}$

Operating:

$\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{\frac{10+3*5+6*2}{10}}$

$\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{10}{10+15+12}$

$\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{10}{37}$

The fraction of the beads that are red is $\mathbf{\frac{10}{37}}$

8 0

2 years ago

In a circle with a radius of 27 2/5 in., an arc is intercepted by a central angle of 7π/4 radians.

VikaD [51]

Arc Length = radius * Angle in radians
Arc Length = 27.4 * 5.4977871438 
Arc Length = 150.6393677396 inches

Source:
http://www.1728.org/radians.htm

5 0

2 years ago

Read 2 more answers

How to get everything to one side of the inequality for 3+4/x>=(x+2)/x

Ksenya-84 [330]

Answer:

$2x+2\geq 0$

Step-by-step explanation:

Given:

The given inequality is.

$3+\frac{4}{x} \geq \frac{x+2}{x}$

Solution:

Simplify the given expression.

$3+\frac{4}{x} \geq \frac{x+2}{x}$

Multiply by x both side of the equation.

$x(3+\frac{4}{x}) \geq x(\frac{x+2}{x})$

Simplify.

$3x+\frac{4x}{x} \geq x(\frac{x+2}{x})$

$3x+4\geq x+2$

Rewrite the equation as.

$3x+4-x-2\geq 0$

$2x+2\geq 0$

Therefore, $2x+2\geq 0$ is the simplest form of the given expression.

6 0

2 years ago

this visual representation shows the sets of real numbers. classify the number −25. select all terms that are correct. natural w

vekshin1

-25 is an integer and a rational number.

<h3>What is number system?</h3>

A system of writing numbers is known as a number system.
It is the mathematical notation for consistently employing digits or other symbols to represent the numbers in a particular set.
It represents the arithmetic and algebraic structure of the numbers and gives each number a distinct representation.

Now,

Natural numbers are positive integers with a range of 1 to infinity; nevertheless, they do not include zero. -25 wouldn't be a natural number because it is a negative number.
A group of numbers known as a whole number consists of all positive integers and 0. This wouldn't be a whole number because -25 isn't a positive number.
Any real number that cannot be represented as the quotient of two integers is said to be irrational. Square roots of irrational numbers are also frequently seen. -25, however, is not a square root.
Any number that can be expressed as a ratio, or a fraction, of two integers, is referred to be a rational number. Fractions, decimals, negative decimals, and other rational numbers are very prevalent. Since -25 can be represented as a ratio of two numbers. it is a rational number.
A whole number that can be either positive, negative, or zero is known as an integer. As -25 is negative and a whole number( when positive), it is an integer.

Hence, -25 is an integer and a rational number.

To learn more about number system, refer to the link: brainly.com/question/13162939

#SPJ4

6 0

1 year ago