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skelet666 [1.2K]
2 years ago
8

WILL GIVE 98 POINTS!!!! NOT PLAYING!!!!!!! WILL MARK BRAINLIEST!!!!!!!! + THANKS AND 5 STAR RATING!!!!!!!! JUST ANSWER ALL QUEST

IONS LIKE 8 QUESTIONS.
Instructions
Sarah’s neighbor offers to pay her $5 for every shark tooth she finds on the beach. After collecting only three shark’s teeth, Sarah decides to share the opportunity with her friend John. Sarah can find shark teeth twice as fast as John, but she can earn even more money with his help.
Sarah can use the expression 5(2j + 3 + j) to represent the amount of money she can earn.
Part 1: Writing Expressions
Write an expression that looks like Sarah’s expression: 5(2j + 3 + j). Replace the coefficients so that your expression is not equivalent. You may use any number that you choose to replace the coefficients. Be sure to leave the variables the same. For example, 8(3j + 7 + 3j) looks like Sarah’s expression but is not equivalent.
Translate the algebraic expression you created in Question 1 to a verbal expression.
Part 2: Writing Equivalent Expressions
You will now use mathematical properties to create two expressions that are equivalent to the expression you created in Question 1. Make sure you show all the steps in your work.


Use either the commutative property or combine like terms to create an equivalent expression.
Use the distributive property to create an equivalent expression.
Pick a number from 1 to 10. Use that number to verify your three expressions (the original, the one from 3a, and the one from 3b) are equivalent by substituting it into each expression. Show all your work for complete credit.
Part 3: Finish the Story
Write a few sentences to end Sarah’s story. How many shark teeth did she find? How many shark teeth did John find? How much money did Sarah earn?
Choose a method to present your assignment. You may submit your work in a Word Document or you may choose to develop a PowerPoint presentation or video recording of yourself. Use your creativity! Make sure to include the information from all three parts in your Word Document or presentation.
Mathematics
1 answer:
just olya [345]2 years ago
3 0

Answer:The first one is 2.333333333

Step-by-step explanation:Simplifying

5(2 + -1j) + (2j + -3) = 0

(2 * 5 + -1j * 5) + (2j + -3) = 0

(10 + -5j) + (2j + -3) = 0

Reorder the terms:

10 + -5j + (-3 + 2j) = 0

Remove parenthesis around (-3 + 2j)

10 + -5j + -3 + 2j = 0

Reorder the terms:

10 + -3 + -5j + 2j = 0

Combine like terms: 10 + -3 = 7

7 + -5j + 2j = 0

Combine like terms: -5j + 2j = -3j

7 + -3j = 0

Solving

7 + -3j = 0

Solving for variable 'j'.

Move all terms containing j to the left, all other terms to the right.

Add '-7' to each side of the equation.

7 + -7 + -3j = 0 + -7

Combine like terms: 7 + -7 = 0

0 + -3j = 0 + -7

-3j = 0 + -7

Combine like terms: 0 + -7 = -7

-3j = -7

Divide each side by '-3'.

j = 2.333333333

Simplifying

j = 2.333333333

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