Answer:
Hey! The answer would be 13 with no remainder. Hope this helped :)
Let his total money be x.
He spent (3/7)*x of his money.
He gave 1/4(x-3/7x) to his sister.
which is : (1/4)*(4/7)*x = (1/7)*x
Now,
How much money he have in the beginning =
(3/7)*x+(1/7)*x+120=x
(4/7)*x+120=x
120=x-(4/7)*x
120=(3/7)*x
x=120*7/3 [cross multiplication]
x=280.
So, Alex had $280 in the beginning.
In accordance with <em>propositional</em> logic, <em>quantifier</em> theory and definitions of <em>simple</em> and <em>composite</em> propositions, the negation of a implication has the following equivalence:
(Correct choice: iii)
<h3>How to find the equivalent form of a proposition</h3>
Herein we have a <em>composite</em> proposition, that is, the union of <em>monary</em> and <em>binary</em> operators and <em>simple</em> propositions. According to <em>propositional</em> logic and <em>quantifier</em> theory, the negation of an implication is equivalent to:
To learn more on propositions: brainly.com/question/14789062
#SPJ1
Answer:
x = ±i√2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality<u>
</u>
<u>Algebra II</u>
Imaginary root <em>i</em>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
5x² - 2 = -12
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Addition Property of Equality] Add 2 on both sides: 5x² = -10
- [Division Property of Equality] Divide 5 on both sides: x² = -2
- [Equality Property] Square root both sides: x = ±√-2
- Rewrite: x = ±√-1 · √2
- Simplify: x = ±i√2
