Miguel's car has a 20 gallon capacity and Christina's car has a 16 gallon capacity Miguel uses 1.5 gallons of gas per week and Christina uses 1 gallon of gas per week when will Miguel and Christina have the same amount of gas in their tanks
To determine when Miguel and Christina will have the same amount of gas in their tanks, we can set up an equation.
Let x represent the number of weeks.
Miguel's gas level after x weeks can be represented as: 20 - 1.5x
Christina's gas level after x weeks can be represented as: 16 - 1x
To find when they have the same amount of gas, we can set their gas levels equal to each other:
20 - 1.5x = 16 - 1x
Simplifying the equation:
20 - 16 = -1x + 1.5x
4 = 0.5x
Dividing both sides by 0.5:
8 = x
Therefore, Miguel and Christina will have the same amount of gas in their tanks after 8 weeks.
Miguel’s car has a 20-gallon capacity, and Christina’s car has a 16-gallon capacity. Miguel uses 1.5 gallons of gas per week, and Christina uses 1 gallon of gas per week. When will Miguel and Christina have the same amount of gas in their tanks?(1 point)
Responses
After 1.6 weeks they will have the same amount of gas in their tanks.
After −8 weeks they will have the same amount of gas in their tanks.
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After 18 week they will have the same amount of gas in their tanks.
After Start Fraction 1 over 8 End Fraction week they will have the same amount of gas in their tanks.
After 8 weeks they will have the same amount of gas in their tanks.
After 8 weeks, Miguel and Christina will have the same amount of gas in their tanks.
Which of the following equations has exactly one solution?(1 point)
Responses
−8x+3=−8x+3
negative 8 x plus 3 equals negative 8 x plus 3
−3x−8=3x−8
negative 3 x minus 8 equals 3 x minus 8
−3x+8=−3x−8
negative 3 x plus 8 equals negative 3 x minus 8
3x−8=3x+8
The equation that has exactly one solution is:
−8x+3=−8x+3
olve for x to determine if the equation has one, none, or infinite solutions.
11x=3(7x−1)−10x(1 point)
Responses
The equation has one solution: x=−3.
The equation has one solution: x equals negative 3 .
The equation has no solution.
The equation has no solution.
The equation has infinite solutions.
The equation has infinite solutions.
The equation has one solution: x=−1.
To solve for x in the equation 11x=3(7x-1)-10x, we can simplify the equation as follows:
11x = 21x - 3 - 10x
11x - 21x + 10x = -3
x = -3
Therefore, the equation has one solution: x = -3.
Solve for x to determine if the equation has one, none, or infinite solutions.
5(2x+2)−4=2x+6(1 point)
Responses
The equation has infinite solutions.
The equation has infinite solutions.
The equation has one solution: x=1.
The equation has one solution: x equals 1 .
The equation has one solution: x=0.
The equation has one solution: x equals 0 .
The equation has no solution.
To solve for x in the equation 5(2x+2)-4=2x+6, we can simplify the equation as follows:
10x + 10 - 4 = 2x + 6
10x + 6 = 2x + 6
Subtract 2x from both sides:
10x + 6 - 2x = 2x + 6 -2x
8x + 6 = 6
Subtract 6 from both sides:
8x + 6 - 6 = 6 - 6
8x = 0
Divide both sides by 8:
8x/8 = 0/8
x = 0
Therefore, the equation has one solution: x = 0.
Solve the following linear equation for x. Then check your answer. Show all your steps for solving and checking.
5x+8+x=32