-16z-19=-12z+9
To solve the equation, we need to isolate the variable, "z".
First, we want to get rid of the constants on both sides of the equation. We can do this by adding 16z to both sides:
-16z - 19 + 16z = -12z + 9 + 16z
This simplifies to:
-19 = 4z + 9
Next, we want to isolate the term with "z" by subtracting 9 from both sides:
-19 - 9 = 4z + 9 - 9
This simplifies to:
-28 = 4z
Finally, we want to solve for "z" by dividing both sides by 4:
-28/4 = 4z/4
This simplifies to:
-7 = z
Therefore, the solution to the equation is z = -7.
-2/7z+9=17
To solve the equation, we need to isolate the variable, "z".
First, let's get rid of the constant on the left side of the equation. We can do this by subtracting 9 from both sides:
-2/7z + 9 - 9 = 17 - 9
Simplifying, we have:
-2/7z = 8
Next, we want to isolate the variable z. We do this by multiplying both sides by the reciprocal of -2/7, which is -7/2:
(-2/7z)(-7/2) = 8(-7/2)
Simplifying the left side, we have:
z = -56/2
Simplifying the right side, we have:
z = -28
Therefore, the solution to the equation is z = -28.
a movie theater offers two options for membership. the first option costs $15 but an initial fee of $10. the second option costs $10 per ticket but an initial fee of $45. After how many tickets are both options the same price?
Let's assume "x" represents the number of tickets purchased.
For the first option, the total cost is given by $15 + $10x.
For the second option, the total cost is given by $10x + $45.
To find when both options are the same price, we can set the two expressions equal to each other and solve for x:
$15 + $10x = $10x + $45
Let's cancel out the terms with the variable by subtracting $10x from both sides:
$15 = $45
This equation is not possible since $15 cannot be equal to $45.
Therefore, there is no number of tickets where both options are the same price.
To vats are being filled by two different pumps. The first that has 10 gallons is being filled at a rate of 12 gallons per second. The second that has 25 gallons and is being filled at a rate of 10 gallons per second. After how many seconds will both bats have the same amount of liquid?
Let's assume "t" represents the number of seconds needed for both vats to have the same amount of liquid.
For the first vat, the amount of liquid at time "t" can be represented as 10 + 12t (10 gallons plus the rate of 12 gallons per second).
For the second vat, the amount of liquid at time "t" can be represented as 25 + 10t (25 gallons plus the rate of 10 gallons per second).
To find when both vats have the same amount of liquid, we can set the two expressions equal to each other and solve for t:
10 + 12t = 25 + 10t
Let's subtract 10t from both sides to isolate the "t" term:
10 - 25 = 10t - 12t
Simplifying:
-15 = -2t
Now, divide both sides by -2 to solve for "t" alone:
-15 / -2 = -2t / -2
Simplifying:
7.5 = t
Therefore, after 7.5 seconds, both vats will have the same amount of liquid.
2 (24x + 7) = 39x +___x + 14
To solve the equation, let's distribute the 2 on the left side:
2 * 24x + 2 * 7 = 39x + ___x + 14
This simplifies to:
48x + 14 = 39x + ___x + 14
Next, we can combine like terms on the right side:
48x + 14 = 39x + ___x + 14
We are missing the coefficient of "x" in the equation, so we can't solve it without that information. Please provide the missing coefficient of "x" so we can proceed further with solving the equation.
find the missing number
I apologize, but I am unable to find the missing number without any additional information or context. Can you please provide more details or specify which missing number you are referring to?
find the missing number in this equation:
2 (24x + 7) = 39x +___x + 14
Given the equation: 2(24x + 7) = 39x + ___x + 14
To find the missing number, let's simplify the equation by distributing the 2 on the left side:
48x + 14 = 39x + ___x + 14
The like terms on both sides of the equation are the constants, which are 14 on both sides. So, there is no missing number in this equation.
Thus, the missing number is 0x (zero times x).
thats wrongs
Apologies for the confusion. Let's try solving the equation again:
2(24x + 7) = 39x + ___x + 14
First, distribute the 2 on the left side:
48x + 14 = 39x + ___x + 14
To find the missing number, we need to simplify further by combining like terms on the right side:
48x + 14 = 39x + ____x + 14
Since we have "x" terms on both sides of the equation, the missing number is likely the coefficient of "x" that makes the equation correct. To find it, we need to subtract 39x from both sides:
48x + 14 - 39x = 39x - 39x + ____x + 14
Simplifying, we have:
48x - 39x + 14 = ____x + 14
Combine the "x" terms on the left side:
9x + 14 = ____x + 14
To make the equation balance, the missing number would be 9. Therefore, the correct equation is:
48x + 14 = 39x + 9x + 14
find the missing numbers in this equation:
2 (6x + 7) = -4x + ___x +___
Given the equation: 2(6x + 7) = -4x + ___x + ___
To find the missing numbers, let's simplify the equation by distributing the 2 on the left side:
12x + 14 = -4x + ___x + ___
Now, let's group the "x" terms on the right side:
12x + 14 = (-4x + ___x) + ___
To balance the equation, we need to find two numbers that, when added to -4x, result in the same coefficient of "x" as the left side, which is 12x. The missing numbers are 16 and -8.
Therefore, the correct equation is:
12x + 14 = -4x + 16x - 8