706,000 scientific notation
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Suppose number of books Jim have = x
Sam has twice as many books as Jim. So,
Number of books Sam have = 2x
If Sam gives 12 books to Jim, they will have the same number of books.
When Sam gives 12 books, his remaining books will be
When Jim gets 12 books from Sam, his books will be
And as per given question, they both now have equal books, so
Adding 12 in both sides
Subtracting x from both sides
It means Jim has number of books = 24
So, Sam has numberof books =
So, they have number of books together = : Answer
Hope it will help :)
The quadrilateral formed by this process will always be a parallelogram
<h3>Quadrilaterals</h3>A quadrilateral is simply any polygon that has four sides and four corners.
Common examples are:
- Square
- Rectangle
- Rhombus
- Kite
- Trapezoid
- Rhombus
- Parallelogram
A square is drawn at the coordinates:
(0,0), (6,0), (0,6) and (6,6)
The midpoints of the square sides are at the following coordinates:
(0,3), (3,6), (6,3) and (3,0)
When the points of the midpoints are joined together, they form a parallelogram
<h3>Figure 2</h3>A trapezoid is drawn at the coordinates:
(0,0), (2,6), (8,6) and (10,0)
The midpoints of the square sides are at the following coordinates:
(5,0), (5,6), (1,3) and (9,3)
When the points of the midpoints are joined together, they form a parallelogram
Hence, the quadrilateral formed by this process will always be a parallelogram
Read more about quadrilaterals and parallelograms at:
It is given that:
Monthly Rent = A
Total Money Paid to Landlord = Y
The landlord requires initial payment to include:
- 1st month's rent
month's rent or 50% of monthly rent for Security Deposit
- 40% of monthly rent for utility bills
- 5% of monthly rent for health club
- 13% of monthly rent per person for other services
Also, Total Amount Paid to the Landlord = $2574
Number of People Sharing the Apartment = 3
Basis the above information,
Y = (100% * A) + (50% * A) + (40% * A) + (5% * A) + (13% * A * 3)
⇒ Y = A + (0.5 * A) + (0.4 * A) + (0.05 * A) + (0.39 * A)
⇒ Y = A + (0.5 * A) + (0.4 * A) + (0.05 * A) + (0.39 * A)
⇒ Y = 2.34 * A
Substituting the value of Y to determine A
⇒ 2,574 = 2.34 * A
⇒ A = 1,100
Hence, the monthly rent is $1,100
After demonstrating the procedure by algebraic means, the expression <em>is equivalent to</em>
.
In this question we proceed to <em>simplify</em> by <em>algebraic</em> means into a <em>single</em> <em>radical</em> expression when possible, whose procedure is shown below and explained by appropriate definitions and theorems:
-
Given.
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Commutative property/ Associative property.
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Definition of cubic root/
/Result
After demonstrating the procedure by algebraic means, the expression <em>is equivalent to</em>
.
To learn more on radical expressions, we kindly invite to check this verified question: brainly.com/question/1810591