Mathematics, 01.10.2019 07:00 zalyndevola

Which expression is equivalent to 1/5m − 20?
1/5 (m − 4)
1/5 (m − 100)
5(m − 4)
5(m − 100)
explain

Answers: 1

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Answer from: tanaemichel

$\displaystyle \frac{1}{5}(m-100)~is~equivalent~to~\frac{1}{5}m-20$

Further Explanation

One variable linear equation is an equation that has a variable and the exponent number is one.

Can be stated in the form:

$\large {\boxed {\bold {ax = b}}$

ax + b = c, where a, b, and c are constants, x is a variable

Whereas the two-variable linear equation is a linear equation that has 2 variables and the exponent is one

Can be stated in the form:

$\large {\boxed {\bold {ax + by = c}}}$

There are 2 general steps to solving a linear equation of one variable:

1. add or subtract both segments with the same number so that it is expected that in one segment there are only variable modifiers or constant numbers2. Change the equation into a simple form so that the coefficient of the variable is 1

This can be done by dividing or multiplying by equal numbers

An equation will remain equivalent if both segments are multiplied or divided by the same number

An equation is said to be equivalent if the same solution is obtained

Looking for algebraic forms that are equivalent to

$\displaystyle \frac{1}{5}m-20$

We can use the distributive property of multiplication in addition or subtraction in the arithmetic operations of algebraic form

General formula

a(b+c) = ab + aca(b-c) = ab - ac

From the algebraic form $\displaystyle \frac{1}{5}m-20$ we can state it in the form of multiplication with the same factor which is $\displaystyle \frac{1}{5}$ , so that the algebraic form becomes:

$\displaystyle =\frac{1}{5}m-\frac{1}{5}100\\\\=\frac{1}{5}(m-100)$

Learn more

the slope-intercept form of the linear equation

link

a graph of a linear equation

link

system of linear equations

link

Keywords: one variable, linear equation, distributive nature, algebraic form

Answer from: rstredway7693

The correct option is 2.

Step-by-step explanation:

The given expression is

$\frac{1}{5}m-20$

The coefficient of m is 1/5. So, write the second term as the multiple of 1/5.

The given expression can be written as

$\frac{1}{5}m-\frac{1}{5}(100)$

Taking out common factors.

$\frac{1}{5}(m-100)$

The given expression is equivalent to $\frac{1}{5}(m-100)$ . Therefore the correct option is 2.

Which expression is equivalent to 1/5m − 20? 1/5 (m − 4) 1/5 (m − 100) 5(m − 4) 5(m − 100) explain

Answer from: Quest

henry ordered 5 large pizzas

step-by-step explanation:

sorry no step by step

Answer from: Quest

Do the math. she originally had 50 dollars on her gift card and she had 12 dollars left on her gift card after she finished her shopping spree. if you subtract 50 minus 12 you get thirty eight dollars as your answer. so therefore, ciara spent 38 dollars total o

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You know the right answer?

Which expression is equivalent to 1/5m − 20?
1/5 (m − 4)
1/5 (m − 100)
5(m − 4)

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