Answer:
x = ±2√5
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 I</u>
- Terms/Coefficients
- Multiple Roots
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
4x² - 5 = 75
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Addition Property of Equality] Add 5 on both sides: 4x² = 80
- [Division Property of Equality] Divide 4 on both sides: x² = 20
- [Equality Property] Square root both sides: x = ±2√5
Answer:
El nieto de 14 años de edad recibirá la mayor cantidad.
Step-by-step explanation:
En este problema, debemos tener en mente que la cantidad aportada es directamente proporcional a la edad de quien recibe, esta cantidad es igual al producto de la cantidad total y la razón de la edad de quien recibe y la suma de todas las edades.
Bajo este razonamiento, podemos concluir que el nieto de 14 años de edad recibirá la mayor cantidad.
option B) 3 pounds of beef is needed to make 6 times the recipe.
<u>Step-by-step explanation</u>:
<u>step 1 </u>:
Mitch used 14 pounds of beef = 34 liters of beef strogonoff
'x' pounds of beef = 1 liter of beef strogonoff
<u>step 2</u> :
Rate = No. of pounds / No. of liters
(14 pounds / 34 liters) = (x pounds / 1 liter)
x = 14/34
x = 0.412
1 liter of beef strogonoff = 0.412 pounds of beef
<u>step 3</u> :
To make 6 times the recipe = 6
0.412
= 2.5 pounds of beef ( approximately 3 pounds)
The result of the multiplication in scientific notation is given by:

<h3>What is scientific notation?</h3>
A number in scientific notation is given by:

With the base being
.
When we multiply two numbers in scientific notation, we multiply the bases and add the exponents.
For this problem, the numbers are given by:

The result of the multiplication is given by:

The result of the multiplication in scientific notation is given by:

More can be learned about scientific notation at brainly.com/question/16394306
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Answer:
She has 42 pieces of wood each of 1 inch of length.
Step-by-step explanation:
Amy has 42 inches piece of wood.
She has to cut an inch.
After cutting pieces of inch each she counts the pieces to be 42.
Mathematically
Total length / unit lenght = Number of pieces
42 inches/ 1 inch= 42 pieces.
She has 42 pieces of wood each of 1 inch of length.