A student spends no more than 2 hours on his math and English homework. If math takes about twice as long as English, what is the maximum time that the student can spend on English? (1 point) Responses %C2%A0hour Image with alt text: one-third %C2%A0hour %C2%A0hour Image with alt text: The fraction is 1 over 2. %C2%A0hour 1 hour 1 hour %C2%A0hour Image with alt text: two-thirds %C2%A0hour
If the student spends no more than 2 hours on math and English homework, and math takes about twice as long as English, let's represent the time spent on English as "x" hours.
Since math takes about twice as long as English, the time spent on math will be 2x.
The total time spent on homework is the sum of the time spent on math and English, which is 2x + x = 3x.
We are given that the total time spent on homework is no more than 2 hours, so we can write the inequality:
3x ≤ 2
To find the maximum time the student can spend on English, we need to solve this inequality for x.
Dividing both sides of the inequality by 3, we get:
x ≤ 2/3
Therefore, the maximum time that the student can spend on English is 2/3 of an hour.
Let's assign a variable to represent the time the student spends on English homework. Let's say x represents the time spent on English.
According to the information given, math takes about twice as long as English. Therefore, the time spent on math would be 2x.
The student spends no more than 2 hours on homework in total. So the equation would be:
x + 2x ≤ 2
Combining like terms, we can simplify the equation:
3x ≤ 2
And dividing both sides of the equation by 3, we get:
x ≤ 2/3
So the maximum time that the student can spend on English is 2/3 of an hour or about 40 minutes.
To find the maximum time the student can spend on English homework, we can use the information given that math takes about twice as long as English.
Let's assume that the time spent on English homework is x hours. Since math takes about twice as long as English, the time spent on math will be 2x hours.
According to the question, the student spends no more than 2 hours on homework. This means that the total time spent on math and English combined should not exceed 2 hours.
So, we can set up an equation:
x + 2x ≤ 2
Combining like terms, we have:
3x ≤ 2
Next, we divide both sides of the inequality by 3 to isolate x:
x ≤ 2/3
Therefore, the maximum time the student can spend on English homework is 2/3 hour.