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What is the value of x in the equation 4x – 3 = 13?
Starting with the given equation: $$4x - 3 = 13$$ Adding 3 to both sides: $$4x = 16$$ Dividing by 4: $$x = 4$$ Therefore, the value of x is 4.
Starting with the given equation:
$$4x – 3 = 13$$
Adding 3 to both sides:
$$4x = 16$$
Dividing by 4:
$$x = 4$$
Therefore, the value of x is 4.
See lessWhat is the LCM of 8, 12, and 16?
To find the LCM of 8, 12, and 16, we first need to find their prime factorizations: - 8 = 2 x 2 x 2 - 12 = 2 x 2 x 3 - 16 = 2 x 2 x 2 x 2 Then, we take the highest power of each prime factor: - The highest power of 2 is 2 x 2 x 2 x 2 = 16 - The highest power of 3 is 3 - So, the LCM of 8, 12, and 16Read more
To find the LCM of 8, 12, and 16, we first need to find their prime factorizations:
– 8 = 2 x 2 x 2
– 12 = 2 x 2 x 3
– 16 = 2 x 2 x 2 x 2
Then, we take the highest power of each prime factor:
– The highest power of 2 is 2 x 2 x 2 x 2 = 16
– The highest power of 3 is 3
– So, the LCM of 8, 12, and 16 is 16 x 3 = 48.
Therefore, the LCM of 8, 12, and 16 is 48.
See lessWhat is the GCF of 27 and 45?
To find the GCF of 27 and 45, we can use the prime factorization method: Prime factorization of 27: \(27 = 3 \times 3 \times 3\) Prime factorization of 45: \(45 = 3 \times 3 \times 5\) The common prime factors of 27 and 45 are 3 and 3. Therefore, the GCF of 27 and 45 is 3 x 3 = 9.
To find the GCF of 27 and 45, we can use the prime factorization method:
Prime factorization of 27: \(27 = 3 \times 3 \times 3\)
Prime factorization of 45: \(45 = 3 \times 3 \times 5\)
The common prime factors of 27 and 45 are 3 and 3. Therefore, the GCF of 27 and 45 is 3 x 3 = 9.
See lessWhat is the value of x in the equation 3x/4 = 12?
To solve the equation \( \frac{3x}{4} = 12 \), we can multiply both sides by the reciprocal of \( \frac{3}{4} \), which is \( \frac{4}{3} \). This gives: \[ \frac{3x}{4} \cdot \frac{4}{3} = 12 \cdot \frac{4}{3} \] Simplifying the left side of the equation gives: \[ x = 16 \] Therefore, the value ofRead more
To solve the equation \( \frac{3x}{4} = 12 \), we can multiply both sides by the reciprocal of \( \frac{3}{4} \), which is \( \frac{4}{3} \). This gives:
\[ \frac{3x}{4} \cdot \frac{4}{3} = 12 \cdot \frac{4}{3} \]
Simplifying the left side of the equation gives:
\[ x = 16 \]
Therefore, the value of x in the equation \( \frac{3x}{4} = 12 \) is 16.
See lessWhat is the percentage increase from 20 to 40?
To find the percentage increase from 20 to 40, we can use the formula: Percentage increase = (New value - Old value) / Old value x 100% Plugging in the given values, we get: Percentage increase = (40 - 20) / 20 x 100% Simplifying the equation gives: Percentage increase = 100% Therefore, the percentaRead more
To find the percentage increase from 20 to 40, we can use the formula:
Percentage increase = (New value – Old value) / Old value x 100%
Plugging in the given values, we get:
Percentage increase = (40 – 20) / 20 x 100%
Simplifying the equation gives:
Percentage increase = 100%
Therefore, the percentage increase from 20 to 40 is 100%.
See lessWhat is the prime factorization of 150?
To find the prime factorization of 150, we can divide it by its smallest prime factor (which is 2) and continue the process with the quotients until we reach 1. This gives us: 150 ÷ 2 = 75 75 ÷ 3 = 25 25 ÷ 5 = 5 5 is a prime number, so we stop here. Therefore, the prime factorization of 150 is: 150Read more
To find the prime factorization of 150, we can divide it by its smallest prime factor (which is 2) and continue the process with the quotients until we reach 1. This gives us:
150 ÷ 2 = 75
75 ÷ 3 = 25
25 ÷ 5 = 5
5 is a prime number, so we stop here.
Therefore, the prime factorization of 150 is:
150 = 2 x 3 x 5 x 5 or 21 x 31 x 52
See lessWhat is the LCM of 10, 12, and 15?
The LCM of 10, 12, and 15 is 60.
The LCM of 10, 12, and 15 is 60.
See less