Answer:
9 on its own can not be simplified. It needs to be a fraction.
Solve systems of equations by graphing. A system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system.
Answer:
The volume of the new prism is three times the volume of the old prism
Step-by-step explanation:
To carry out this problem we have to invent 3 variables that represent length, width and height
w = width
h = height
l = length = 19cm
Now we have to do the equation that represents the calculation of the volume of the prism
v = w * h * l
v = w * h * 19
v = 19hw
assuming the length is tripled
v = w * h * 3l
v = w * h * 3 * 19
v = 57wh
To know the volume of the new prism with respect to the previous one, we simply divide the volume of the new prism by the previous one.
57hw / 19hw = 3
The volume of the new prism is three times the volume of the old prism
Answer:
36/100
Step-by-step explanation:
3/4 * 12/25 = 36/100
multiply the 2 numerators together, then multiple the 2 denominators together.
hope this helps
Given :
The Learning Center charges a one-time fee of $26 plus $10 per piano lesson.
Guitar lessons have a one-time fee of $36 plus $8 for each lesson.
To Find :
After how many lessons will the cost of learning to play piano be the same or more than learning to play guitar.
Solution :
Mathematical expression of piano lesson :

Mathematical expression of guitar lesson :

( Here, x and y are number of lessons )
Let, after t hours cost of learning to play piano be the same or more than learning to play guitar.
Now, given constraint :
Hence, this is the required solution.