2(3x + 5) = 46
a. 4
b. 5
c. 6
d. 7
C
1/2x + 1/4x = 16 (need help on this one)
a. 16
b. 21.3
c. 32
d. 64
6 - x - x = 18
a. -6
b. 6
c. 9
d. -9
A
4x - 3/5 = 2/5
a. 1/5
b. 5/5
c. 1/2
d. 1/4
D
1/2x + 1/4x = 16
Multiply by 4
2x + x = 3x = 64
Thank you. Are the others correct?
To solve the equation 2(3x + 5) = 46, follow these steps:
1. Distribute the 2 to the terms inside the parentheses: 6x + 10 = 46.
2. Subtract 10 from both sides of the equation: 6x = 36.
3. Divide both sides by 6 to solve for x: x = 6.
Therefore, the value of x is 6, so the answer is option C, 6.
To solve the equation 1/2x + 1/4x = 16, follow these steps:
1. Find a common denominator for the two fractional terms. The least common multiple of 2 and 4 is 4.
2. Rewrite the equation with the common denominator: (2/4)x + (1/4)x = 16.
3. Combine the terms with the same denominator: (3/4)x = 16.
4. Multiply both sides of the equation by 4/3 to solve for x: x = (16 * 4) / 3.
Calculating the numerator: 16 * 4 = 64.
Dividing the numerator by the denominator: 64 / 3 = 21.3 (rounded to the nearest tenth).
Therefore, the value of x is approximately 21.3, so the answer is option B, 21.3.
To solve the equation 6 - x - x = 18, follow these steps:
1. Combine like terms on the left side of the equation: 6 - 2x = 18.
2. Subtract 6 from both sides of the equation: -2x = 12.
3. Divide both sides by -2 to solve for x: x = 12 / -2.
4. Simplifying the division: x = -6.
Therefore, the value of x is -6, so the answer is option A, -6.
To solve the equation 4x - 3/5 = 2/5, follow these steps:
1. Add 3/5 to both sides of the equation to isolate the term with x on the left side: 4x = 2/5 + 3/5.
2. Combine the fractions: 4x = 5/5.
3. Simplify the fraction on the right side: 4x = 1.
4. Divide both sides by 4 to solve for x: x = 1 / 4.
Therefore, the value of x is 1/4, so the answer is option D, 1/4.