1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Shalnov [3]
2 years ago
9

Evaluate the following division: (3b-6a)÷(30a-15b)​

Mathematics
1 answer:
shutvik [7]2 years ago
7 0

Evaluate the following division: (3b-6a)÷(30a-15b) is <u>-</u><u>1</u><u>/</u><u>5</u><u>.</u>

<h2><u>INTRODUCTION</u></h2>

~ Algebraic Forms and their Elements

Algebraic form is a mathematical form whose presentation involves symbols or letters to represent unknown numbers.

Elements of Algebra:

1. Variables, Constants and Coefficients

Pay attention to the algebraic form 3x + 2y + 3

From the algebraic form above, x and y are variables (variables), while the number 3 is a constant. A variable is a substitute symbol for a number whose value is not clearly known. While constants are terms of an algebraic form in the form of numbers and do not contain variables.

And what is meant by the coefficient is the constant factor of a term in algebraic form. The coefficient on the 3x term is 3, on the 2y term it is 2.

2. Terms and Factors

» The term is part of the algebraic form which is limited by the operation of addition (+) or difference (-). The term one is an algebraic form that is not connected by the operation of addition or difference.

Example: 2x, 2a², -4xy, . . .

» Term two is an algebraic form that is connected by an operation of sum or difference.

Example: 2x + 3, a² - 4, 3x² - 4x, . . .

» Similar terms in algebraic form are terms that have the same variable and the same power.

Example:

2a is similar to 3a, 4a, etc.

» Factors are part of the algebraic form that is restricted to multiplication operations.

Example: 5n = 5 × n, 5 and n are factors of 4n, respectively.

Calculation Operations on Algebraic Forms

1. Addition and subtraction of algebraic forms can only be done on similar terms.

2. Multiplication and division of algebraic forms.

Multiply two terms by constants or variables.

Example:

3 (4y + 5)

= (3 × 4y) + (3 × 5)

= 12y + 15

Division of two terms with a variable or constant, for example:

(8y+4)/2 = 8y/2 + 4/2 = 4y + 2

<h2><u>DISCUSSION</u></h2>

(3b-6a)÷(30a-15b)

= (-6a + 3b) ÷ (-5(-6a+3b))

= (-6a+3b)/(-5(-6a+3b))

= -1/5

<h3>Conclusion:</h3>

So, Evaluate the following division: (3b-6a)÷(30a-15b) is -1/5.

<h3>Learn More:</h3>

(mampir ke indo:v)

  1. Algebraic subtraction material: https://brainly.co.id/task/35216852
  2. Algebraic arithmetic operations: https://brainly.co.id/task/26250852
  3. The equation of the value of x in algebraic form: https://brainly.co.id/task/42124780

_____________

<h3>Answer Details:</h3>

Class: 7 Middle School

Subject: Math

Material: Chapter 2.1 -Operations of Algebraic Forms

Categorization Code: 7.2.2.1

Keywords: Simple form of algebra

You might be interested in
48 girls, 41 boys, and 5 teachers sat in the gym. Write the ratio of girls to boys in three ways.
Anika [276]

Answer:

D

Step-by-step explanation:

The answer is D because the question is asking for girls to boys. So anything that has 5 in it is wrong because it isn't asking for teachers, which eliminates A. So since it is asking <u>girls</u><u> </u><u>to</u><u> </u><u>boys</u> the number order has to be 48 then 41 because it is asking for girls first then to boys. So that makes B wrong. When it comes to the fraction part of the ratio the first number it is asking for (which is girls) <em><u>alwa</u><u>ys</u></em> goes on top. So that eliminates C which leaves only answer to be D.

7 0
3 years ago
Can someone help on number 32 please
STatiana [176]

Answer:

b. -2.5, -\frac{5}{4}, -\frac{2}{3}, 0.75, \sqrt{3}, 1.9,  I-4I

Step-by-step explanation:

-5/4 is smaller than -2/3 since on the negative sides, any number who is larger is smaller.

0.75 is smaller than the square root of 3 since that equals to 1.7.

1.9 is smaller than the absolute value of -4 since that equals to 4.

4 0
3 years ago
Read 2 more answers
How much money will you have if you started with $1200 and put it in an account that earned 7.3% every year for 10 years?
andrezito [222]
So an exponential equation is gonna be used for this problem. The formula for such is y=ab^x , in which the a variable is the initial value and the b variable is the growth/decay rate.

For this situation, 1200 is gonna be your a variable since you've started out with it. And as for your b variable, its gonna be 107.3%, or 1.073, since it's increasing.

Your equation should look like this: y=1200(1.073)^x and from here just plug in 10 into the x variable and solve.

Multiply (1.073)^10 (don't round answers until the end), and take that answer and multiply it with 1200, your answer should be $2427.61.

y=1200(1.073)^{10} \\ y=2427.61
8 0
3 years ago
3. The United States currently has the world's only
Marina CMI [18]
While a nimitz class carrier is the second longest
3 0
3 years ago
Pls pls help <br> Perform the indicated operations.<br> a) 7a/20b<br> b) 7ab/20<br> c) 7/20ab
Elina [12.6K]

Answer:

it's a) 7a/20b

Step-by-step explanation:

5( \frac{a + 2}{4b} ) - 2( \frac{a - 1}{10b} ) + 4( \frac{a - 3}{5b} ) \\  \\  \frac{5a + 10 - 2a + 2 + 4a - 12}{20b }  \\  \\  \\  \frac{7a}{20b}

8 0
3 years ago
Other questions:
  • Round the distance traveled in kilometers to the nearest ten thousand
    5·1 answer
  • Which number is a factor of 100?<br> O 8<br> o 12<br> O 15<br> O 20
    6·2 answers
  • Line L is NOT a function. The equation of line L could be A) x + 3 = 0. B) y + 3 = 0. C) y + 3x = 0. D) x + 3y = 0.
    5·2 answers
  • Plz help me I can't figure it out
    10·1 answer
  • −2x − 10y = 10 D: {−10, −5, 0, 5}<br><br> A. x=-10<br> B. x=-5<br> C. x=0<br> D. x=5
    12·1 answer
  • At a banquet, the ratio of hot drinks to cold drinks was 5 to 3. A total of 400 drinks were served. How many were hot?
    11·1 answer
  • What is MMXXIX in real numbers
    13·2 answers
  • Write a recursive formula and an explicit formula for the following arithmetic sequence.
    6·1 answer
  • I)x-1 by 4=3<br>ii)3x+6 by 2=3 by 2<br>iii)3x-1by5=2x+3by7​​
    10·1 answer
  • Help needed! Brainlist will be picked.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!