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Answer:

Step-by-step explanation:

Given that:

Keiko sold 3 less than three-fourths of his sister's sale.

To find:

Expression that represents what Keiko sold ?

[tex]1.\ \dfrac{3}{4} x - 3 \\2.\ \dfrac{3}{4} x + 3 \\ 3.\ 3 x + \dfrac{3}{4} \\4.\ 3x - \dfrac{3}{4}[/tex]

Solution:

First of all, let the sales done by Keiko's sister = [tex]x[/tex]

Now, let us consider the Keiko's sale word by word.

3 less than three-fourths of his sister's sale.

  1. Three fourth of his sister's sale i.e. [tex]\frac{3}{4}x[/tex]
  2. 3 less

i.e. subtract 3 from the expression obtained in 1st line.

[tex]\dfrac{3}{4}x-3[/tex]

So, sales done by Keiko = [tex]\dfrac{3}{4}x-3[/tex]

So, correct answer is:

[tex]1.\ \dfrac{3}{4}x-3[/tex]

[tex]\frac{3}{4}x-3[/tex]

An algebraic expression is one that is obtained by performing a finite number of algebraic operations on symbols that represent numbers.

Any of the common arithmetic operations, such as addition, subtraction, multiplication, division, raising to a whole number power, and taking roots, is a basic algebraic operation.

Let [tex]x[/tex] denotes sale of sister of Keiko.

As Keiko sold [tex]3[/tex] less than three-fourths of his sister's sales,

Sales of Keiko [tex]=\frac{3}{4}x-3[/tex]

For more information:

https://brainly.com/question/19585043?referrer=searchResults