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3 years ago

6n - 10 = 4n + 6 what's the value of n in this equation

Mathematics

1 answer:

Marat540 [252]3 years ago

6 0

6n-10=4n+6
move 10 to the right side change the sign
6n=16+4n
2n=16
divide by 2 now,
n=8

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Answer:

$\displaystyle d = 10$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra II

Distance Formula: $\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step explanation:

Step 1: Define

Point (4, 6)

Point (-2, -2)

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Simply plug in the 2 coordinates into the distance formula to find distance d

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Onesimus bought a phone for $ 75 and signed up for a single-line phone plan with 2000 monthly anytime minutes. The cost of the p

AysviL [449]

Answer:

cost for 21 months without considering cost of phone is $2,611.56

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cost of 2000 monthly anytime minutes plan = $ 124.36

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3 years ago

A chemist wishes to mix a solution that is 6% acid. She has on hand 14 liters of a 4% acid solution and wishes to add some 10% a

jonny [76]

she should add 7 liters of 10% acid solution

Explanation

Step 1

set the equation:

a) let X represents the amount os solution that is 4% acid

let Y represents the amount os solution that is 10% acid

$\begin{gathered} \frac{4}{100}X+\frac{10}{100}Y=\frac{6}{100}(x+y) \\ \end{gathered}$

if he has 14 liters of 4% acid solution

$x=14$

$\begin{gathered} \frac{4}{100}X+\frac{10}{100}Y=\frac{6}{100}(X+Y) \\ \frac{4}{100}*14+\frac{10}{100}Y=\frac{6}{100}(X+Y) \\ 0.56+0.1Y=0.06(14+Y) \\ 0.56+0.1Y=0.84+0.06Y \\ \end{gathered}$

Step 2

solve the equation :

$\begin{gathered} 0.56+0.1Y=0.84+0.06Y \\ subtract\text{ 0.06Y in both sides} \\ 0.56+0.1Y-0.06Y=0.84+0.06Y-0.06Y \\ 0.56+0.04Y=0.84 \\ subtract\text{ 0.56 in both sides} \\ 0.56+0.04Y-0.56=0.84-0.56 \\ 0.04Y=0.28 \\ divide\text{ both sides by 0.04} \\ \frac{0.04Y}{0.04}=\frac{0.28}{0.04} \\ Y=7 \end{gathered}$

therefore,

she should add 7 liters of 10% acid solution

I hope this helps you

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1 year ago