Tell whether the equation is true, false, or open.
83+(−12)=95
False
Tell whether the equation is true, false, or open.
10+4=14
True
Determine if the given value is a solution to the equation.
2x-3=9;x=6
To determine if x=6 is a solution to the equation 2x-3=9, we substitute x=6 into the equation and see if it holds true.
2(6) - 3 = 9
12 - 3 = 9
9 = 9
Since both sides of the equation are equal, x=6 is indeed a solution to the equation.
Determine if the given value is a solution to the equation.
2x-3=9;x=6
yes
or
no
Yes
Determine if the given value is a solution to the equation.
-9b+9=3;(1)/(3)
To determine if b=1/3 is a solution to the equation -9b+9=3, we substitute b=1/3 into the equation and see if it holds true.
-9(1/3) + 9 = 3
-3 + 9 = 3
6 = 3
Since both sides of the equation are not equal, b=1/3 is not a solution to the equation.
Determine if the given value is a solution to the equation.
-9b+9=3;(1)/(3)
yes
or
no
No
An athlete trains for 95 min each day for as many days as possible. Write an equation that relates the number of days d that the athlete spends training when the athlete trains for 570 min.
To write the equation that relates the number of days d that the athlete spends training when the athlete trains for 570 minutes, we can use the equation:
95d = 570
In this equation, 95 represents the number of minutes the athlete trains per day, and d represents the number of days. By multiplying the minutes per day by the number of days, we get the total training time, which should be equal to 570 minutes.
An athlete trains for 95 min each day for as many days as possible. Write an equation that relates the number of days d that the athlete spends training when the athlete trains for 570 min.
Enter an equation where any numbers represent numbers of minutes.
Let n be the number of days the athlete trains. Since the athlete trains for 95 minutes each day, the total training time can be represented as:
95n = 570