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Lorico [155]
3 years ago
15

A pencil box has dimensions of: 6 1/2 inches, 3 1/2 inches, and 1 1/2 inches, respectively. Approximately, how many cubes with s

ide lengths of 1/2 inches would be needed to fill the prism?
Mathematics
1 answer:
Inessa05 [86]3 years ago
3 0
It would be approximately 50 cubes
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Evaluate the following division: (3b-6a)÷(30a-15b)​
shutvik [7]

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

7 0
2 years ago
Joel needs 785 tickets to get the prize he wants at the arcade. He already has 284 tickets and can earn 35 tickets each time he
Cloud [144]

He needs to play 23 more times. 785 / 35 = 23

He will have extra points but it will be enough to get the prize.

4 0
2 years ago
Jim uses the function f(x) = 0.7x + 23 to determine the amount he charges for each used
morpeh [17]
Given that <span>Jim uses the function f(x) = 0.7x + 23 to determine the amount he charges for each used drone he sells, where x is the original value of the drone and that t</span><span>he function g(x) = 1.08x is used to determine the amount a customer pays for a drone at Jim’s store including 8% sales tax.

</span> The <span>function to determine the total amount a customer pays for a used drone at Jim’s store including 8% sales tax is given by

f(x) + g(x) = 0.7 + 23 + 1.08x = 1.78x + 23.
</span>
3 0
3 years ago
What is 25over60 can someone help me
Margarita [4]
Exact Form - 5/12
Decimal Form - 0.41666666...
3 0
3 years ago
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What is the next term in the series -27,-18,-12,-8,...?
vlada-n [284]

Answer:

We have - 18 / - 27 = 2 / 3;

- 12 / - 18 = 2 / 3;

-8 / - 12 = 2 / 3;

Then, x / - 8 = 2 / 3 ;

Finally, x = - 16 / 3;

The next terms in that series is - 16 / 3 .

Step-by-step explanation:


3 0
3 years ago
Read 2 more answers
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