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What is the value of x in the equation 2x/3 = 8?
We can solve for \(x\) in the equation: \[\frac{2x}{3} = 8\] We can begin by multiplying both sides of the equation by the reciprocal of the fraction: \[\frac{3}{2} \cdot \frac{2x}{3} = \frac{3}{2} \cdot 8\] Simplifying, we get: \[x = 12\] Therefore, the value of \(x\) in the equation \(\frac{2x}{3}Read more
We can solve for \(x\) in the equation:
\[\frac{2x}{3} = 8\]
We can begin by multiplying both sides of the equation by the reciprocal of the fraction:
\[\frac{3}{2} \cdot \frac{2x}{3} = \frac{3}{2} \cdot 8\]
Simplifying, we get:
\[x = 12\]
Therefore, the value of \(x\) in the equation \(\frac{2x}{3} = 8\) is 12.
See lessWhat is the percentage decrease from 80 to 60?
To find the percentage decrease from 80 to 60, we can use the following formula: Percentage decrease = [(original value - new value) / original value] x 100% Substituting the given values, we get: Percentage decrease = [(80 - 60) / 80] x 100% Percentage decrease = (20 / 80) x 100% Percentage decreasRead more
To find the percentage decrease from 80 to 60, we can use the following formula:
Percentage decrease = [(original value – new value) / original value] x 100%
Substituting the given values, we get:
Percentage decrease = [(80 – 60) / 80] x 100%
Percentage decrease = (20 / 80) x 100%
Percentage decrease = 0.25 x 100%
Percentage decrease = 25%
Therefore, the percentage decrease from 80 to 60 is 25%.
See lessWhat is the prime factorization of 120?
The prime factorization of 120 is: $$120 = 2^3 \cdot 3^1 \cdot 5^1$$ This means that 120 can be expressed as the product of its prime factors, where 2 is raised to the power of 3, 3 is raised to the power of 1, and 5 is raised to the power of 1.
The prime factorization of 120 is:
$$120 = 2^3 \cdot 3^1 \cdot 5^1$$
This means that 120 can be expressed as the product of its prime factors, where 2 is raised to the power of 3, 3 is raised to the power of 1, and 5 is raised to the power of 1.
See lessWhat is the LCM of 6, 9, and 12?
To find the least common multiple (LCM) of 6, 9, and 12, we can list the multiples of each number until we find the smallest multiple they have in common. Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, ... Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, ... Multiples of 12: 12, 24, 36Read more
To find the least common multiple (LCM) of 6, 9, and 12, we can list the multiples of each number until we find the smallest multiple they have in common.
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, …
Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, …
Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, …
The smallest multiple that 6, 9, and 12 have in common is 36.
Therefore, the least common multiple (LCM) of 6, 9, and 12 is 36.
See lessWhat is the GCF of 24 and 36?
To find the greatest common factor (GCF) of 24 and 36, we can list the factors of each number and find the largest factor that they have in common. The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24. The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36. The common factors of 24 and 36 are: 1, 2, 3, 4, 6Read more
To find the greatest common factor (GCF) of 24 and 36, we can list the factors of each number and find the largest factor that they have in common.
The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24.
The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36.
The common factors of 24 and 36 are: 1, 2, 3, 4, 6, 12.
The greatest common factor (GCF) of 24 and 36 is 12.
See lessWhat is the value of x in the equation 5x – 8 = 17?
To solve for x in the equation 5x - 8 = 17, we can add 8 to both sides of the equation to isolate the variable x. This gives us: 5x - 8 + 8 = 17 + 8 Simplifying the left-hand side, we get: 5x = 25 Finally, we can solve for x by dividing both sides of the equation by 5: 5x/5 = 25/5 x = 5 Therefore, tRead more
To solve for x in the equation 5x – 8 = 17, we can add 8 to both sides of the equation to isolate the variable x.
This gives us:
5x – 8 + 8 = 17 + 8
Simplifying the left-hand side, we get:
5x = 25
Finally, we can solve for x by dividing both sides of the equation by 5:
5x/5 = 25/5
x = 5
Therefore, the value of x in the equation 5x – 8 = 17 is 5.
See lessWhat is the fraction equivalent of 0.625?
Solution: To convert a decimal to a fraction, we write the decimal as a fraction with a denominator of 10 raised to the number of decimal places. 0.625 has 3 decimal places, so we write it as: $$ 0.625 = \frac{625}{10^3} $$ We can simplify the fraction by dividing both the numerator and denominatorRead more
Solution:
To convert a decimal to a fraction, we write the decimal as a fraction with a denominator of 10 raised to the number of decimal places.
0.625 has 3 decimal places, so we write it as:
$$
0.625 = \frac{625}{10^3}
$$
We can simplify the fraction by dividing both the numerator and denominator by 5, giving:
$$
0.625 = \frac{625}{10^3} = \frac{125}{200} = \frac{5}{8}
$$
Therefore, the fraction equivalent of 0.625 is 5/8.
See less