What is the simplified form of the following expression. 6c squared +2.5d-d+2c squared-3d
The simplified form of the expression is: 8c² - 1.5d
Simplify the following expression. 1/4(16-12x)
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.
What is the sum. 7/3+(-3/8)
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.
Order the following numbers from least to greatest. Square root of 11, -0.4, -4/3, 0.8, square root of 2
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.
Which sum or difference is equivalent to the following expression. 2x+3/4
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.