moira needs a total of 2 1/4 hours to finish reading a book. yesterday, she read for 1 7/8 hours. supply the correct numbers to complete the equation that can be used to determine the number of hours, h, that moira needs to read to finish the book. h + ___ = ___
To determine the number of hours, h, that Moira needs to read to finish the book, we can set up the equation:
h + 1 7/8 = 2 1/4
Now, we need to convert the mixed numbers to improper fractions:
1 7/8 = (8*1 + 7)/8 = 15/8
2 1/4 = (4*2 + 1)/4 = 9/4
The equation now becomes:
h + 15/8 = 9/4
To isolate h, we need to subtract 15/8 from both sides:
h + 15/8 - 15/8 = 9/4 - 15/8
h = (9/4) - (15/8)
Next, we need to find a common denominator:
h = (9/4) - (15/8)
h = (9/4) - (30/8) (Multiplying (15/8) by (2/2) to get a common denominator)
h = (9/4) - (30/8)
h = (9 - 30)/8
h = -21/8
Therefore, the equation to determine the number of hours, h, that Moira needs to read to finish the book is:
h + 1 7/8 = 2 1/4
h + 15/8 = 9/4
h = -21/8
tyrell has a goal to spend 26 hours each month volunteering in a community library. so far for this month, he has volunteered for 17 hours. write a working equation that represents the number of hours, h, that tryell still needs to volunteer to reach his goal for this month and solve this equation.
h + 17 = ___
h =
To represent the number of hours that Tyrell still needs to volunteer to reach his goal for this month, we can set up the equation:
h + 17 = 26
To find the value of h, we need to isolate it on one side of the equation.
h = 26 - 17
h = 9
Therefore, Tyrell still needs to volunteer for 9 hours to reach his goal for this month.
which of the following should be done to both sides of the equation x - 3.41 = -19 to solve the value of x?
To solve for the value of x in the equation x - 3.41 = -19, we need to isolate x on one side of the equation. To do this, we should add 3.41 to both sides of the equation.
which of the following equations has a solution of -1/2?
To determine which of the following equations has a solution of -1/2, we need to evaluate each equation by substituting -1/2 into the variable.
1) 3x + 2 = -1/2
By substituting x = -1/2:
3(-1/2) + 2 = -1/2
-3/2 + 2 = -1/2
1/2 = -1/2
This equation does not have a solution of -1/2.
2) 2x + 1 = -1/2
By substituting x = -1/2:
2(-1/2) + 1 = -1/2
-1 + 1 = -1/2
0 = -1/2
This equation does not have a solution of -1/2.
3) 4x - 3 = -1/2
By substituting x = -1/2:
4(-1/2) - 3 = -1/2
-2 - 3 = -1/2
-5 = -1/2
This equation does not have a solution of -1/2.
Therefore, none of the provided equations have a solution of -1/2.