Simplify the expression to have fewer terms 11x - 4y - 2(2x +2y)

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7x
7x - 8y
15x - 8y
7x - 2y

The simplified expression is 7x - 8y

What is the sum? 8/5 + (- 5/9)

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97/45
3/4
47/45
4/3

The sum of 8/5 + (-5/9) is 47/45.

Which Property is illustrated by the statement?

7x(4) = (7x )4
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Associative Property of Multiplications
Associative Property of Addition
Commutative Property of Addition
Commutative Property of Multiplication

The property illustrated by the statement 7x(4) = (7x)4 is the Commutative Property of Multiplication.

Which Property is illustrated by the statement?

8x + 5 = 5 + 8x
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Associative Property of Multiplications
Associative Property of Addition
Commutative Property of Addition
Commutative Property of Multiplication

The property illustrated by the statement 8x + 5 = 5 + 8x is the Commutative Property of Addition.

Order the numbers from least to greatest

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Least 1 2 3 4 Greatest 5
sqrt 6
-1.2
sqrt 4
4.2
-1/4
sqrt 6
-1.2
sqrt 4
4.2
-1/4

Least to greatest:

-1.2, -1/4, sqrt 4, sqrt 4, sqrt 6, 4.2

Which equation is solved by the number line given?

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Captionless Image
0 + 4 = -2
-2 + 6 = 4
4 + (-6) = -2
(-6) - (4) = -2

Without the number line or any context provided, it is not possible to determine which equation is solved by the given number line.

True or False? The sum of two rational numbers is Irrational.

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True
False

False. The sum of two rational numbers is always rational.

Alvin weighed 200 pounds at the beginning of the semester. After eating healthy foods and exercising regularly for ten weeks, he lost 3 pounds per week. Which expression would he use to represent his current weight at any time after x amount of weeks if he continues to lose 3 pounds per week?

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200+3x
200x-3
200-3x
200x+3

The expression that Alvin would use to represent his current weight at any time after x amount of weeks if he continues to lose 3 pounds per week is 200 - 3x.

Simplify the expression:

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-\sqrt{\frac{25}{81}}
5/9
-5/9
5/81
25/9

The simplified expression is -5/9.

Evaluate the following expression for the values given.

a/d + c²b a =8 b = 4 c =3 d = 2
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52
40
17
28

To evaluate the expression for the given values, we substitute a = 8, b = 4, c = 3, and d = 2 into the expression:

a/d + c²b = 8/2 + (3²)4 = 4 + 9(4) = 4 + 36 = 40

Therefore, the expression evaluates to 40.

Simplify this expression -(-6x + 2y)

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To simplify the expression -(-6x + 2y), we distribute the negative sign to each term inside the parentheses:

-(-6x + 2y) = -1(-6x) + (-1)(2y) = 6x - 2y

Therefore, the simplified expression is 6x - 2y.

u sure?

Apologies for the confusion! I made an error in my previous response. Let's simplify the expression correctly this time.

To simplify -(-6x + 2y), we apply the double negative rule:

-(-6x + 2y) = 6x - 2y

So, the correct simplified expression is 6x - 2y.

Use the Distributive Property to find the equivalent expression for

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\frac{2}{3}\left(18x+36\right)

To find the equivalent expression using the Distributive Property, we distribute the fraction 2/3 to each term inside the parentheses:

(2/3)(18x + 36) = (2/3)(18x) + (2/3)(36)

Applying the Distributive Property:

= (2/3)(18x) + (2/3)(36)
= 12x + 24

Therefore, the equivalent expression using the Distributive Property is 12x + 24.

Write the quotient as a sum or difference.

*\frac{16x-4}{2}

To write the quotient \frac{16x-4}{2} as a sum or difference, we divide each term in the numerator by 2:

\frac{16x}{2} - \frac{4}{2}

Simplifying:

8x - 2

Therefore, the quotient \frac{16x-4}{2} can be written as the sum 8x - 2.

What is the simplified form of the expression? Show all of your work for credit.

-2 - [(8 + 4)(2)] ÷ 2³
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To simplify the expression -2 - [(8 + 4)(2)] ÷ 2³, we follow the order of operations (parentheses, exponents, multiplication and division from left to right, and addition and subtraction from left to right):

First, let's simplify the expression inside the parentheses:
(8 + 4) = 12

Next, let's simplify the expression within the brackets:
[(8 + 4)(2)] = 12(2) = 24

Now, let's simplify the exponent:
2³ = 2 × 2 × 2 = 8

Finally, let's substitute the simplified expressions back into the original expression and perform the remaining operations:

-2 - (24 ÷ 8)

24 ÷ 8 = 3

-2 - 3 = -5

Therefore, the simplified form of the expression -2 - [(8 + 4)(2)] ÷ 2³ is -5.