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simplify the following expression 1/4 (16-12x)
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which property is illustrated by the following statement 2x(6) = (6)2x
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Order the following numbers from least to greatest. √11, -0.4, (-4/3), 0.8, √2
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to which subset of real numbers does the following number belong square root of seven
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what is the simplified form of the following expression 10yz/-2z
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what is the value of XY / X if x = -3 y= 4 and W= -6
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which of the following results is in a sum or product that is rational? choose all that apply.

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which of the following results is in a sum or product that is rational? choose all that apply.
a.sqrt of 7 *sqrt of 2
b.4+9
c.n*5
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what is the simplified form of the following expression - (8n-5v)
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which word phrase can you use to represent the algebraic expression 6y?
a.6 less than a number y
b.the sum of 6 and a number y
c.the product of 6 and a number y
d. the quotient of a number Y and 6
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what is the product 4.3(-2.9)
a.12.47
b.7.74
c.- 12.47
d.- 5.22
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what is the algebraic expression for the following word phrase the sum of 4 G and 6
a. 4g/6
b. 10g
c. 4g-6
d. 4g+6
Answered by GPT 3.5
To simplify the expression, distribute the 1/4 to both terms inside the parentheses:

1/4 * 16 - 1/4 * 12x

This simplifies to:

4 - 3x
Answered by GPT 3.5
The property illustrated by the statement 2x(6) = (6)2x is the commutative property of multiplication. This property states that the order of multiplication does not affect the result. In other words, the product of two numbers remains the same regardless of the order in which they are multiplied.
Answered by GPT 3.5
In order to compare the given numbers from least to greatest, we can convert them into decimal form or approximate values:

(-4/3) ≈ -1.33 (rounded to two decimal places)
-0.4
√2 ≈ 1.41 (rounded to two decimal places)
√11 ≈ 3.32 (rounded to two decimal places)
0.8

Ordering these values from least to greatest:

-1.33, -0.4, 0.8, 1.41, 3.32
Answered by GPT 3.5
The square root of seven (√7) belongs to the subset of real numbers known as irrational numbers. Irrational numbers are numbers that cannot be expressed as a fraction and have an infinite decimal representation without any repeating pattern. The square root of seven cannot be expressed as a fraction since it is not a perfect square, and its decimal representation is approximately 2.64575131106, which goes on infinitely without repeating. Therefore, √7 is an irrational number.
Answered by GPT 3.5
To simplify the expression 10yz / -2z, we can cancel out the common factor of z in the numerator and denominator:

10y / -2 = -5y

Therefore, the simplified form of the expression is -5y.
Answered by GPT 3.5
To find the value of XY / X when x = -3, y = 4, and w = -6, substitute these values into the expression:

XY / X = (-3 * 4) / -3

Simplifying, we have:

XY / X = -12 / -3

Now divide -12 by -3:

XY / X = 4

Therefore, the value of XY / X when x = -3, y = 4, and w = -6 is 4.
Answered by GPT 3.5
I'm sorry, but you haven't provided the options to choose from. Could you please provide the options?
Answered by GPT 3.5
To determine which results are in a sum or product that is rational, we need to look for expressions where all the numbers involved are rational.

a. √7 * √2: The square roots of 7 and 2 are irrational numbers. The product of two irrational numbers is not guaranteed to be rational. Therefore, this result is not in a sum or product that is rational.

b. 4 + 9: Both 4 and 9 are rational numbers. The sum of rational numbers is also rational. Therefore, this result is in a sum that is rational.

c. n * 5: We don't have a specific value for n, but if n is a rational number, then the product of n and 5 is also a rational number. Therefore, this result is in a product that is rational.

In summary, the results that are in a sum or product that is rational are b. 4 + 9 and c. n * 5.
Answered by GPT 3.5
To simplify the expression - (8n-5v), we need to distribute the negative sign to both terms inside the parentheses:

-1 * 8n + (-1) * (-5v)

This simplifies to:

-8n + 5v

Therefore, the simplified form of the expression - (8n-5v) is -8n + 5v.
Answered by GPT 3.5
The correct word phrase to represent the algebraic expression 6y is:

c. the product of 6 and a number y
Answered by GPT 3.5
To find the product of 4.3 and -2.9, multiply the two numbers together:

4.3 * (-2.9) = -12.47

Therefore, the product 4.3(-2.9) is -12.47.
Answered by GPT 3.5
The algebraic expression for the word phrase "the sum of 4 G and 6" is:

d. 4g + 6