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1 year ago

Can somebody explain Literal equations to solve for a given variable? i am so confused about it

Mathematics

1 answer:

anastassius [24]1 year ago

8 0

The explanation of using Literal equations to solve for a given variable is as explained below.

How to solve Literal Equations?

Literal equations are equations containing two or more variables; at least one independent variable and one dependent variable

To solve a literal equation means to rewrite the equation so a different variable stands alone on one side of the equals sign. We have to be told for which variable we want to solve.

Linear equations in one variable may take the form ax + b = 0 and are solved using basic algebraic operations.

We begin by classifying linear equations in one variable as one of three types: identity, conditional, or inconsistent. An identity equation is true for all values of the variable.

Read more about Literal Equations at; brainly.com/question/1852246

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3 years ago

18. Determine the common difference, the fifth term, and the sum of the first 100 terms of the following sequence:

Ksenya-84 [330]

$a_1=1,\ a_2=2.5,\ a_3=4,\ a_4=5.5,\ ...\\\\a_2-a_1=2.5-1=1.5\\a_3-a_2=4-2.5=1.5\\a_4-a_3=5.5-4=1.5\\a_{n+1}-a_n=1.5=constans\\\\\text{It's an arithmetic sequence with}\\a_1=1,\ \boxed{d=1.5}\\\\a_n=a_1+(n-1)d\to a_n=1+(n-1)(1.5)=1+1.5n-1.5\\\\a_n=1.5n-0.5\\\\a_5=1.5(5)-0.5=7.5-0.5=7\\\boxed{a_5=7}\\\\\text{The formula of a Sum of the First n Terms of an Arithmetric Sequence:}\\\\S_n=\dfrac{2a_1+(n-1)d}{2}\cdot n\\\\\text{We have:}\\a_1=1,\ d=1.5,\ n=100\\\\\text{Substitute}$

$S_{100}=\dfrac{(2)(1)+(100-1)(1.5)}{2}\cdot100=\dfrac{2+(99)(1.5)}{1}\cdot50\\\\=(2+148.5)\cdot50=150.5\cdot50=7,525\\\\\boxed{S_{100}=7,525}\\\\Answer:\\the\ common\ difference:\ d=1.5\\the\ fifth\ term:\ a_5=7\\the\ sum\ of\ first\ 100\ terms:\ S_{100}=7,525$

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3 years ago

$37 dinner; 15% tip whats the total cost

kogti [31]

37*.15=5.55
37+5.55=42.55

4 0

2 years ago

Need help on these question

hoa [83]

* D'C'

* 90

* C (10, -5)

6 0

3 years ago

Someone please help ASAP

kondor19780726 [428]

I haven't done this in a while, but I'm pretty sure the answer is D, (-3, -1.)

If you were to substitute x for -3 and y for -1 in the first inequalities and simplify, it would look like this:

-1 > -3-2

-1 > - 5

And that inequality is true, because -1 is bigger than -5. Let's also substitute in the other inequality, which would be:

-1 > 2(-3) + 2

-1 > -6 + 2

-1 > -4

And -1 is bigger than -4. So, I think the answer would be D because substituting for those values of x and y would stil. make the inequalities true.

5 0

3 years ago