Question

What is the simplified form of the following expression. 6c squared +2.5d-d+2c squared-3d

Answers

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Simplify the following expression. 1/4(16-12x)
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What is the sum. 7/3+(-3/8)
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Order the following numbers from least to greatest. Square root of 11, -0.4, -4/3, 0.8, square root of 2
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Which sum or difference is equivalent to the following expression. 2x+3/4
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What is the algebraic expression for the following word phrase: the sum of 4g and 6
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What is the algebraic expression for the following word phrase: the quotient of 8 and the sum of 3 and m
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What is the algebraic expression for the following word phrase: the quotient of x and 6y
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What is the difference? 9/4-1/7
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What is the simplified form of the following expression? Square root of 1/144
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Evaluate a/z+bw squared for a=21, b=3, w=6, z=7
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What is the product? 4.3(-2.9)
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What is the simplified form of the following expression? (3/5)cubed
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Which word phrase can you use to represent the algebraic expression 6y
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Which statement about the product is true? 7.56×6.7
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Using the formula r=d/t , where d is the distance in miles, r is the rate, and t is the time in hours, at which rate must you travel to cover 212.5 miles in 2.5 hours?
Answer
12[6^÷(5^-4^) + 7]
Answered by GPT 3.5
The simplified form of the expression is: 8c² - 1.5d
Answered by GPT 3.5
To simplify the expression 1/4(16-12x), start by distributing the fraction to each term inside the parentheses:

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

Next, simplify each term separately:

4 - 3x

Therefore, the simplified form of the expression 1/4(16-12x) is 4 - 3x.
Answered by GPT 3.5
To find the sum of 7/3 and -3/8, we need to have a common denominator. The least common denominator (LCD) for 3 and 8 is 24.

To convert 7/3 into an equivalent fraction with the denominator 24, we multiply the numerator and denominator by 8:

7/3 * 8/8 = 56/24

To convert -3/8 into an equivalent fraction with the denominator 24, we multiply the numerator and denominator by 3:

-3/8 * 3/3 = -9/24

Now that both fractions have a common denominator, the sum is:

56/24 + (-9/24) = (56 - 9)/24 = 47/24

So, the sum of 7/3 and -3/8 is 47/24.
Answered by GPT 3.5
To order the numbers from least to greatest, let's start by converting any irrational numbers into decimal approximations:

Square root of 11 ≈ 3.316

Square root of 2 ≈ 1.414

Now, we can arrange the numbers in ascending order:

-4/3 < -0.4 < 1.414 < 0.8 < 3.316

Therefore, the numbers in order from least to greatest are:

-4/3, -0.4, square root of 2, 0.8, square root of 11.
Answered by GPT 3.5
To find a sum or difference equivalent to 2x + 3/4, we need to have a common denominator. The least common denominator (LCD) for the expression is 4.

To convert 2x into an equivalent fraction with the denominator 4, we multiply the numerator and denominator by 2:

2x * 2/2 = 4x/2 = 2x

Now, we have:

2x + 3/4 = 2x + 3/4

Therefore, the sum or difference that is equivalent to 2x + 3/4 is 2x + 3/4.
Answered by GPT 3.5
The algebraic expression for the word phrase "the sum of 4g and 6" is: 4g + 6
Answered by GPT 3.5
The algebraic expression for the word phrase "the quotient of 8 and the sum of 3 and m" is: 8 / (3 + m)
Answered by GPT 3.5
The algebraic expression for the word phrase "the quotient of x and 6y" is: x / (6y)
Answered by GPT 3.5
To find the difference of 9/4 and 1/7, we need to have a common denominator. The least common denominator (LCD) for 4 and 7 is 28.

To convert 9/4 into an equivalent fraction with the denominator 28, we multiply the numerator and denominator by 7:

(9/4) * (7/7) = 63/28

Now, we have:

63/28 - 1/7

To convert 1/7 into an equivalent fraction with the denominator 28, we multiply the numerator and denominator by 4:

(1/7) * (4/4) = 4/28

Now, the difference is:

63/28 - 4/28 = 59/28

Therefore, the difference of 9/4 and 1/7 is 59/28.
Answered by GPT 3.5
To simplify the expression √(1/144), we can take the square root of both the numerator and denominator separately.

√(1/144) = √1 / √144 = 1/12

Thus, the simplified form of the expression is 1/12.
Answered by GPT 3.5
To evaluate the expression (a/z + bw)² for a = 21, b = 3, w = 6, and z = 7, substitute the given values into the expression:

(21/7 + 3(6))² = (3 + 18)² = (21)² = 441

Therefore, when a = 21, b = 3, w = 6, and z = 7, the value of the expression is 441.
Answered by GPT 3.5
The product of 4.3 and -2.9 is:

4.3 * -2.9 = -12.47

Therefore, the product is -12.47.
Answered by GPT 3.5
To simplify the expression (3/5) cubed, we need to raise the fraction to the power of 3.

(3/5) cubed = (3/5)^3

To simplify this further, we multiply the numerator and denominator of the fraction by itself three times:

(3/5)^3 = (3^3) / (5^3) = 27/125

Therefore, the simplified form of the expression (3/5) cubed is 27/125.
Answered by GPT 3.5
The word phrase that can be used to represent the algebraic expression 6y is "the product of 6 and y" or "six times y."
Answered by GPT 3.5
The true statement about the product 7.56 × 6.7 is:

7.56 × 6.7 = 50.712
Answered by GPT 3.5
To find the rate at which you must travel to cover 212.5 miles in 2.5 hours, we can rearrange the formula r = d/t to solve for the rate.

r = d / t

Plugging in the given values, we have:

r = 212.5 miles / 2.5 hours

Calculating this expression:
r = 85 miles per hour

Therefore, you must travel at a rate of 85 miles per hour to cover 212.5 miles in 2.5 hours.
Answered by GPT 3.5
To simplify the expression 12[6^÷(5^-4^) + 7], we follow the order of operations (PEMDAS/BODMAS):

First, we simplify any exponents:

5^-4 = 1/5^4 = 1/625

Now, we simplify the expression inside the parentheses:

6^÷(1/625) + 7

Next, we divide 6 by 1/625:

6 ÷ (1/625) = 6 * 625 = 3750

Finally, we add 3750 and 7:

3750 + 7 = 3757

Therefore, the simplified form of the expression 12[6^÷(5^-4^) + 7] is 3757.

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