The equation can be written as:
1000 + 38x = 900 + 40x
Where x is the number of days it takes for the two songs to have the same number of listens.
Simplifying, we get:
1000 - 900 = 40x - 38x
100 = 2x
x = 50
Therefore, it would take 50 days for the two songs to have the same number of listens.
At the beginning of the month, a song on a streaming service already had 1,000 listens, and was getting 38 new listens each day. Meanwhile, a different song already had 900 listens, and was getting 40 new listens each day. Write an equation to show the number of days it would take for the two songs to have the same number of listens. Use x as your variable.(1 point)
8 answers
An ice skating rink has two ways you can use the facility. The first option is to pay $10 per visit. The second option is to pay $32 per month, and $6 per visit. Write and solve an equation to show the number of visits it would take for the cost of the two plans to be equal.(1 point)
Responses
10x=32−6x ; x=2
10 x equals 32 minus 6 x ; x equals 2
10x=32+6x ; x=8
10 x equals 32 plus 6 x ; x equals 8
10=32+6x ; x=−3
10 equals 32 plus 6 x ; x equals negative 3
10x=32+6x ; x=4
10 x equals 32 plus 6 x ; x equals 4
Responses
10x=32−6x ; x=2
10 x equals 32 minus 6 x ; x equals 2
10x=32+6x ; x=8
10 x equals 32 plus 6 x ; x equals 8
10=32+6x ; x=−3
10 equals 32 plus 6 x ; x equals negative 3
10x=32+6x ; x=4
10 x equals 32 plus 6 x ; x equals 4
At the beginning of the month, a song on a streaming service had 700 listens, and it was getting 52 new listens each day. Meanwhile, a different song had 600 listens, and it was getting 56 new listens each day. When will the two songs have the same number of listens?(1 point)
The songs will have the same number of listens after
days.
The songs will have the same number of listens after
days.
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 8 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.
After −8 weeks they will have the same amount of gas in their tanks.
After negative 8 weeks they will have the same amount of gas in their tanks.
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 1.6 weeks they will have the same amount of gas in their tanks.
Responses
After 8 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.
After −8 weeks they will have the same amount of gas in their tanks.
After negative 8 weeks they will have the same amount of gas in their tanks.
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 1.6 weeks they will have the same amount of gas in their tanks.
negative 8 x plus 3 equals negative 8 x plus 3
−3x+8=−3x−8
negative 3 x plus 8 equals negative 3 x minus 8
−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
negative 3 x minus 8 equals 3 x minus 8
Solve 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 one solution: x=−1.
The equation has one solution: x equals negative 1 .
The equation has no solution.
The equation has no solution.
The equation has infinite solutions.
The equation has 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 one solution: x=−1.
The equation has one solution: x equals negative 1 .
The equation has no solution.
The equation has no solution.
The equation has infinite solutions.
The equation has infinite solutions.
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 one solution: x=0.
The equation has one solution: x equals 0 .
The equation has one solution: x=1.
The equation has one solution: x equals 1 .
The equation has infinite solutions.
The equation has infinite solutions.
The equation has no solution.
5(2x+2)−4=2x+6(1 point)
Responses
The equation has one solution: x=0.
The equation has one solution: x equals 0 .
The equation has one solution: x=1.
The equation has one solution: x equals 1 .
The equation has infinite solutions.
The equation has infinite solutions.
The equation has no solution.
Solve the following linear equation for x. Then check your answer. Show all your steps for solving and checking.
5x+8+x=32
(4 points)
5x+8+x=32
(4 points)
1 answer