Answer:
1 : 20 20 students for every 1 teacher
Step-by-step explanation:
divide both sides by 12
Given that Rylee took out a loan for $3600 at 13% interest.
Where interest is compounded annually.
Interest for 1 year = 13% of 3600 = 0.13*3600 = 468
Amount due after 1 year = Loan + interest = 3600+468 = 4068
Monthly payment = 460
So Amount to be paid after 1 year = 4068-460 = 3608
New due amount $3608 is more than the loan amount $3600
Which means loan will always remain due for his entire life.
Hence Rylee will never be able to pay off the loan.
Interest must be less than the monthly payment in order to pay off the loan.
Answer:
6(4x-1) is equivalent to 24x-6 and (2*12x)-(2*3)
24x+6 is equivalent to 6(4x+1) and (6*4x)+(6*1)
(4*6x)+(4*2) is equivalent to 24x+8 and 4(6x+2)
Step-by-step explanation:
An equivalent expression is an expression which either simplified or factored is equal to it.
6(4x-1) is equivalent to 24x-6 and (2*12x)-(2*3)
24x+6 is equivalent to 6(4x+1) and (6*4x)+(6*1)
(4*6x)+(4*2) is equivalent to 24x+8 and 4(6x+2)
Answer:
808
Step-by-step explanation:
The volume of the initial cylindrical metal must be equal to the total volume of the cubes.
Let the number of cubes made be x. Therefore:

where
volume of the cylinder
volume of each cube
Each of the cubes have sides of length 3 cm.
The volume of a cube is given as:

where L = length of side of cube
Therefore, the volume of each cube is:

The volume of a cylinder is given as:

where r = radius
h = height of the cylinder
The volume of the cylinder is:

Therefore:
21823.55 = 27 * x
=> x = 21823.55 / 27
x = 808.27
Since the number of cubes can only be a whole number, the number of cubes that will be made is 808.
Applying the rule for dilation, we will multiply the scale factor to its coordinates.
Having Q (0,2) and DO 0.5(x.y), the coordinates of Q' will be:
x = (.5)(0) = 0
y = (.5)(2) = 1
Therefore coordinates of Q' is (0,1)
*Having a scale factor of >1, the figure is said to be reduced.