Which equation is equivalent to 3 + 5(x + 2) = 12?
A. 8x + 16 = 12
B. 8x + 2 = 12
C. 5x + 5 = 12
D. 5x + 13 = 12
7 answers
C. 5x + 5 = 12
Kayla is purchasing 5 candles for x dollars each and 5 candle holders for $3.50 each. Kayla paid a total of $27.50. Before tax, what is the cost per candle?
Let the cost of each candle be x dollars.
Kayla is purchasing 5 candles for x dollars each, so the total cost of the candles would be 5x dollars.
She is also purchasing 5 candle holders for $3.50 each, so the total cost of the candle holders would be 5 * $3.50 = $17.50.
Therefore, the total cost of the purchase before tax is 5x + $17.50.
Since Kayla paid a total of $27.50, we can set up the equation: 5x + $17.50 = $27.50
Subtracting $17.50 from both sides, we get: 5x = $10
Dividing both sides by 5, we get: x = $2
Therefore, the cost per candle is $2.
Kayla is purchasing 5 candles for x dollars each, so the total cost of the candles would be 5x dollars.
She is also purchasing 5 candle holders for $3.50 each, so the total cost of the candle holders would be 5 * $3.50 = $17.50.
Therefore, the total cost of the purchase before tax is 5x + $17.50.
Since Kayla paid a total of $27.50, we can set up the equation: 5x + $17.50 = $27.50
Subtracting $17.50 from both sides, we get: 5x = $10
Dividing both sides by 5, we get: x = $2
Therefore, the cost per candle is $2.
Which of the following equations is equivalent to 4x + 6 = 1
Adding -6 to both sides to isolate 4x on the left side, we get:
4x + 6 - 6 = 1 - 6
4x = -5
Dividing by 4 on both sides to solve for x, we get:
4x/4 = -5/4
x = -5/4
Therefore, the equivalent equation is:
4x = -5
None of the provided equations in the response options matches the equivalent equation in this case.
4x + 6 - 6 = 1 - 6
4x = -5
Dividing by 4 on both sides to solve for x, we get:
4x/4 = -5/4
x = -5/4
Therefore, the equivalent equation is:
4x = -5
None of the provided equations in the response options matches the equivalent equation in this case.
Which of the following equations is equivalent to 4x + 6 = 1
A. 1 + 3(x + 2) = 1
B. 5(x + 2) - x = 1
C. 18 + 6(x - 2) - 2x = 1
D. 9z - 5(x - 1) - 1 = 1
A. 1 + 3(x + 2) = 1
B. 5(x + 2) - x = 1
C. 18 + 6(x - 2) - 2x = 1
D. 9z - 5(x - 1) - 1 = 1
Let's solve the equation 4x + 6 = 1 to find its equivalent form:
Subtracting 6 from both sides:
4x = 1 - 6
4x = -5
Dividing by 4 on both sides:
x = -5 / 4
Therefore, the equivalent equation is 4x = -5.
Looking at the provided options, none of them directly match the equivalent equation.
Subtracting 6 from both sides:
4x = 1 - 6
4x = -5
Dividing by 4 on both sides:
x = -5 / 4
Therefore, the equivalent equation is 4x = -5.
Looking at the provided options, none of them directly match the equivalent equation.