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IgorLugansk [536]
2 years ago
10

Aimee must add together the following numbers:3.50 + 4.00 + (−1.25) + (−7.50) + 5.25 + 2.00 As her first step, Aimee writes:(3.5

0 + (–7.50)) + (–1.25 + 5.25) + (4.00 + 2.00)Which is the best explanation of what Aimee did in this step?
A.Aimee used the Associative and Commutative Properties to put opposite numbers together.
B.Aimee used the Identity Property to put numbers with the same values after the decimal point together.
C.Aimee used the Associative and Commutative Properties to put numbers that are easy to add next to each other.
D.Aimee used the Inverse Property to pair each positive decimal with a negative decimal so that they will cancel out.
Mathematics
2 answers:
Verdich [7]2 years ago
8 0

Your answer would be, Letter Choice, (C.), Aimee used the Associative and Commutative properties to put numbers that are easy to add next to each other.

Commutative of Addition: the order in which numbers are added, does not change the sum : Example: 7a − 2b + 2., −2b + 7a + 2

Associative Property of Addition: the way in which numbers are grouped when : added, does not change the sum: Example: (a + b) + c = a + (b + c) 

Hope that helps!!!! Answer: Letter Choice, (C) : )

alina1380 [7]2 years ago
5 0

The answer is C. The associative property states that (a + b) + c = a + (b + c) and the commutative property states that a + b = b + a. She used these two properties to move around and group the numbers in a way that will be easy to add together.

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irinina [24]

Answer:

number 1 is 2 number 2 is 15 number 4 is 30

Step-by-step explanation:

6 0
3 years ago
Extend Thinking: Find the x and y intercepts. (Use 2.1 & 2.2 notes to solve.)
Molodets [167]

Answer:

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5 0
3 years ago
Solve the following logarithmic equations.<br> log[(x^2 + 2x − 3)^4] = 0
saw5 [17]

Answer:

The solutions are x = 1.24 and x = -3.24

Step-by-step explanation:

Hi there!

First, let´s write the equation:

log[(x² + 2x -3)⁴] = 0

Apply the logarithm property: log(xᵃ) = a log(x)

4 log[(x² + 2x -3)⁴] = 0

Divide by 4 both sides

log(x² + 2x -3) = 0

if log(x² + 2x -3) = 0, then  x² + 2x -3 = 1 because only log 1 = 0

x² + 2x -3 = 1

Subtract 1 at both sides of the equation

x² + 2x -4 = 0

Using the quadratic formula let´s solve this quadratic equation:

a = 1

b = 2

c = -4

x = [-b± √(b² - 4ac)]/2a

x =  [-2 + √(4 - 4(-4)·1)]/2 = 1.24

and

x = [-2 - √(4 - 4(-4)·1)]/2 = -3.24

The solutions are x = 1.24 and x = -3.24

Have a nice day!

4 0
3 years ago
How many subsets of {1, 2, 3, 4, 6, 8, 10, 15} are there for which the sum of the elements is 15?
stepladder [879]

Answer:

512

Step-by-step explanation:

Suppose we ask how many subsets of {1,2,3,4,5} add up to a number ≥8. The crucial idea is that we partition the set into two parts; these two parts are called complements of each other. Obviously, the sum of the two parts must add up to 15. Exactly one of those parts is therefore ≥8. There must be at least one such part, because of the pigeonhole principle (specifically, two 7's are sufficient only to add up to 14). And if one part has sum ≥8, the other part—its complement—must have sum ≤15−8=7

.

For instance, if I divide the set into parts {1,2,4}

and {3,5}, the first part adds up to 7, and its complement adds up to 8

.

Once one makes that observation, the rest of the proof is straightforward. There are 25=32

different subsets of this set (including itself and the empty set). For each one, either its sum, or its complement's sum (but not both), must be ≥8. Since exactly half of the subsets have sum ≥8, the number of such subsets is 32/2, or 16.

8 0
3 years ago
Solve both! For x<br><br> |X + 2| &gt; 5<br><br><br><br> |X + 2| &lt; 5
NISA [10]

Answer:

Your Answer is ...

x > 3 or x < -7

Step-by-step explanation:

1.  x > 3 worked out

|X + 2| > 5

Solve absolute Value

|X + 2| > 5

We know either |X + 2| > 5 or x + 2 < - 5

_________________________________

x + 2 > 5\\x + 2 - 2 > 5 - 2 (Subtract ~2~ from~Both~sides)\\ x >3

2. x < -7 Worked out

x + 2 < - 5\\x+2-2>5-2 (Subtract~2~from~Both~sides)\\x

Hope this Helps!

Take Care!

-Jay-

4 0
2 years ago
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