Question
What is the simplified form of the following expression. 6c squared +2.5d-d+2c squared-3d
Answers
Answer
Simplify the following expression. 1/4(16-12x)
Answer
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.
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.
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.
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.
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.
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.
√(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.
(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.
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.
(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
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.
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.
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.