To solve for x, we need to isolate it on one side of the equation.
First, we can distribute the 5/3 to both terms inside the brackets:
15 = (5/3)(x) + (5/3)(12)
This simplifies to:
15 = (5/3)x + 20
Next, we can subtract 20 from both sides of the equation to get rid of the constant term:
15 - 20 = (5/3)x + 20 - 20
-5 = (5/3)x
To isolate x, we can multiply both sides of the equation by the reciprocal of (5/3), which is 3/5:
(-5)(3/5) = (5/3)x * (3/5)
-3 = x
Therefore, x = -3.
Solve for x in simplest form.
15, equals, start fraction, 5, divided by, 3, end fraction, left bracket, x, plus, 12, right bracket
15=
3
5
(x+12)
11 answers
Solve for x in simplest form.
6, equals, start fraction, 2, divided by, 7, end fraction, left bracket, 2, x, plus, 28, right bracket
6=
7
2
(2x+28)
6, equals, start fraction, 2, divided by, 7, end fraction, left bracket, 2, x, plus, 28, right bracket
6=
7
2
(2x+28)
To solve for x, we can follow these steps:
First, we can distribute the 2/7 to both terms inside the brackets:
6 = (2/7)(2x) + (2/7)(28)
This simplifies to:
6 = (4/7)x + 8
Next, we can subtract 8 from both sides of the equation to get rid of the constant term:
6 - 8 = (4/7)x + 8 - 8
-2 = (4/7)x
To isolate x, we can multiply both sides of the equation by the reciprocal of (4/7), which is 7/4:
(-2)(7/4) = (4/7)x * (7/4)
-14/4 = x
Simplifying the fraction on the left side and dividing the numerator and denominator by their greatest common divisor, which is 2, we have:
-7/2 = x
Therefore, x = -7/2 or x = -3.5.
First, we can distribute the 2/7 to both terms inside the brackets:
6 = (2/7)(2x) + (2/7)(28)
This simplifies to:
6 = (4/7)x + 8
Next, we can subtract 8 from both sides of the equation to get rid of the constant term:
6 - 8 = (4/7)x + 8 - 8
-2 = (4/7)x
To isolate x, we can multiply both sides of the equation by the reciprocal of (4/7), which is 7/4:
(-2)(7/4) = (4/7)x * (7/4)
-14/4 = x
Simplifying the fraction on the left side and dividing the numerator and denominator by their greatest common divisor, which is 2, we have:
-7/2 = x
Therefore, x = -7/2 or x = -3.5.
Madison took a taxi from her house to the airport. The taxi company charged a pick-up fee of $3.20 plus $5 per mile. The total fare was $98.20, not including the tip. Write and solve an equation which can be used to determine mm, the number of miles in the taxi ride.
Let's use the variable "m" to represent the number of miles in the taxi ride.
The taxi company charges a pick-up fee of $3.20, plus $5 per mile. So the total cost of the ride (excluding tip) can be represented by the equation:
3.20 + 5m = 98.20
To solve the equation for "m", we can isolate it on one side of the equation by subtracting 3.20 from both sides:
5m = 98.20 - 3.20
This simplifies to:
5m = 95
Finally, we can solve for "m" by dividing both sides of the equation by 5:
m = 95 / 5
This gives us:
m = 19
Therefore, Madison traveled 19 miles in the taxi ride.
The taxi company charges a pick-up fee of $3.20, plus $5 per mile. So the total cost of the ride (excluding tip) can be represented by the equation:
3.20 + 5m = 98.20
To solve the equation for "m", we can isolate it on one side of the equation by subtracting 3.20 from both sides:
5m = 98.20 - 3.20
This simplifies to:
5m = 95
Finally, we can solve for "m" by dividing both sides of the equation by 5:
m = 95 / 5
This gives us:
m = 19
Therefore, Madison traveled 19 miles in the taxi ride.
Madison took a taxi from her house to the airport. The taxi company charged a pick-up fee of $3.20 plus $5 per mile. The total fare was $98.20, not including the tip. Write and solve an equation which can be used to determine mm, the number of miles in the taxi ride.
Equation:
Answer: mm =
Equation:
Answer: mm =
Let's use the variable "m" to represent the number of miles in the taxi ride.
The taxi company charges a pick-up fee of $3.20, plus $5 per mile. So the total cost of the ride (excluding tip) can be represented by the equation:
3.20 + 5m = 98.20
To solve the equation for "m", we can isolate it on one side of the equation by subtracting 3.20 from both sides:
5m = 98.20 - 3.20
This simplifies to:
5m = 95
Finally, we can solve for "m" by dividing both sides of the equation by 5:
m = 95 / 5
This gives us:
m = 19
Therefore, the number of miles Madison traveled in the taxi ride is 19 miles.
Answer: mm = 19
The taxi company charges a pick-up fee of $3.20, plus $5 per mile. So the total cost of the ride (excluding tip) can be represented by the equation:
3.20 + 5m = 98.20
To solve the equation for "m", we can isolate it on one side of the equation by subtracting 3.20 from both sides:
5m = 98.20 - 3.20
This simplifies to:
5m = 95
Finally, we can solve for "m" by dividing both sides of the equation by 5:
m = 95 / 5
This gives us:
m = 19
Therefore, the number of miles Madison traveled in the taxi ride is 19 miles.
Answer: mm = 19
do a equation on it using algerba
Sure! Let's use algebra to solve the problem.
Let's say the number of miles Madison traveled in the taxi ride is "m".
The pick-up fee is $3.20, and the cost per mile is $5. So, the total cost of the ride, excluding tip, can be represented as:
Cost = 3.20 + 5m
We are given that the total fare, excluding tip, is $98.20. So we can set up the equation:
3.20 + 5m = 98.20
We want to solve for "m", so let's isolate the variable by subtracting 3.20 from both sides of the equation:
5m = 98.20 - 3.20
This simplifies to:
5m = 95
Finally, to solve for "m", we divide both sides of the equation by 5:
m = 95/5
Simplifying the right side gives us:
m = 19
Therefore, the number of miles Madison traveled in the taxi ride is 19 miles.
The equation we used to solve for "m" is:
3.20 + 5m = 98.20
Let's say the number of miles Madison traveled in the taxi ride is "m".
The pick-up fee is $3.20, and the cost per mile is $5. So, the total cost of the ride, excluding tip, can be represented as:
Cost = 3.20 + 5m
We are given that the total fare, excluding tip, is $98.20. So we can set up the equation:
3.20 + 5m = 98.20
We want to solve for "m", so let's isolate the variable by subtracting 3.20 from both sides of the equation:
5m = 98.20 - 3.20
This simplifies to:
5m = 95
Finally, to solve for "m", we divide both sides of the equation by 5:
m = 95/5
Simplifying the right side gives us:
m = 19
Therefore, the number of miles Madison traveled in the taxi ride is 19 miles.
The equation we used to solve for "m" is:
3.20 + 5m = 98.20
Amelia needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 2.5 hours and charged her $100 for parts. The total was $237.50. Write and solve an equation which can be used to determine xx, the cost of the labor per hour.
Let's use the variable "x" to represent the cost of labor per hour.
The technician worked on the computer for 2.5 hours, and charged $100 for parts. So the total cost of the repair (excluding parts) can be represented by the equation:
2.5x = 237.50 - 100
Simplifying the right side gives us:
2.5x = 137.50
To solve for "x", we can divide both sides of the equation by 2.5:
x = 137.50 / 2.5
Simplifying the right side gives us:
x = 55
Therefore, the cost of labor per hour is $55.
The equation we used to solve for "x" is:
2.5x = 137.50
The technician worked on the computer for 2.5 hours, and charged $100 for parts. So the total cost of the repair (excluding parts) can be represented by the equation:
2.5x = 237.50 - 100
Simplifying the right side gives us:
2.5x = 137.50
To solve for "x", we can divide both sides of the equation by 2.5:
x = 137.50 / 2.5
Simplifying the right side gives us:
x = 55
Therefore, the cost of labor per hour is $55.
The equation we used to solve for "x" is:
2.5x = 137.50
1 answer