The speed limit sign on the expressway says that the speed limit is 55 mph. Write an equality that represents all speeds you can legally drive on the expressway.
The equality that represents all speeds you can legally drive on the expressway would be:
x ≤ 55 mph
If you were to graph the inequality below on a number line:
35<7x
(2 points)
Would you use an open or a closed circle?
Would your arrow on the number line point to the left or to the right?
To graph the inequality 35 < 7x on a number line:
- You would use an open circle.
- The arrow on the number line would point to the right.
A student solved the following equation using the following steps:
2(2x+2)=4(x+4)
4x+4=4x+4
4=4
Conclusion: Infinitely many solutions
(2 points)
Based on the student's work, the equation was solved
The equation solved correctly would show that it has
solution(s).
Based on the student's work, the equation was solved incorrectly. The statement "4 = 4" is not true.
The equation should have been solved as follows:
2(2x + 2) = 4(x + 4)
4x + 4 = 4x + 16
Now, if we subtract 4x from both sides, we get:
4 = 12
The statement "4 = 12" is false, indicating that there are no solutions to the equation.
Solve the equation for y:
3x+5y=60
(2 points)
Responses
y=60+3x5
y is equal to 60 plus 3 x over 5
y=60−3x
y is equal to 60 minus 3 x
y=57x5
y is equal to 57 x over 5
y=−35x+12
To solve the equation 3x + 5y = 60 for y, we need to isolate the variable y.
Starting with the original equation:
3x + 5y = 60
We can begin by subtracting 3x from both sides of the equation:
5y = -3x + 60
Next, we divide both sides of the equation by 5 to solve for y:
y = (-3x + 60)/5
Therefore, the correct answer is: y = (-3x + 60)/5