-41 = -2/5(45n+60) + n

please show your work, i’ll mark as brainliest

n = 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

to Right  

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

-41 = -2/5(45n + 60) + n

Step 2: Solve for n

Distribute -2/5:                                                                                               -41 = -18n - 24 + nCombine like terms:                                                                                       -41 = -17n - 24[Addition Property of Equality] Add 24 on both sides:                                -17 = -17n[Division Property of Equality] Divide -17 on both sides:                              1 = nRewrite/Rearrange:                                                                                        n = 1

Step 3: Check

Plug in n into the original equation to verify it's a solution.

Substitute in n:                                                                                                -41 = -2/5(45(1) + 60) + 1(Parenthesis) Multiply:                                                                                    -41 = -2/5(45 + 60) + 1(Parenthesis) Add:                                                                                          -41 = -2/5(105) + 1Multiply:                                                                                                           -41 = -42 + 1Add:                                                                                                                 -41 = -41

Here we see that -41 does indeed equal -41.

∴ n = 1 is the solution to the equation.

110698.56 square miles

step-by-step explanation:

multiply 3.8 by 102

387.6

multiply 2.8 by 102

285.6

multiply those two to get

110698.56 square miles