Answer:
2^3*3
Step-by-step explanation:
So the prime factorization of 24 is 24 = 2 · 2 · 2 · 3 = 23 · 3.
Answer:
x = 5/39
, y = 539/39
Step-by-step explanation:
Solve the following system:
{y - 2.5 x = 13.5
12.25 x - y = -12.25
In the first equation, look to solve for y:
{y - 2.5 x = 13.5
12.25 x - y = -12.25
y - 2.5 x = y - (5 x)/2 and 13.5 = 27/2:
y - (5 x)/2 = 27/2
Add (5 x)/2 to both sides:
{y = 1/2 (5 x + 27)
12.25 x - y = -12.25
Substitute y = 1/2 (5 x + 27) into the second equation:
{y = 1/2 (5 x + 27)
1/2 (-5 x - 27) + 12.25 x = -12.25
(-5 x - 27)/2 + 12.25 x = 12.25 x + (-(5 x)/2 - 27/2) = 9.75 x - 27/2:
{y = 1/2 (5 x + 27)
9.75 x - 27/2 = -12.25
In the second equation, look to solve for x:
{y = 1/2 (5 x + 27)
9.75 x - 27/2 = -12.25
9.75 x - 27/2 = (39 x)/4 - 27/2 and -12.25 = -49/4:
(39 x)/4 - 27/2 = -49/4
Add 27/2 to both sides:
{y = 1/2 (5 x + 27)
(39 x)/4 = 5/4
Multiply both sides by 4/39:
{y = 1/2 (5 x + 27)
x = 5/39
Substitute x = 5/39 into the first equation:
{y = 539/39
x = 5/39
Collect results in alphabetical order:
Answer: {x = 5/39
, y = 539/39
Answer:
117.99
Step-by-step explanation:
First step is to find the discount
Discount = original price * discount rate
= 135 * 20%
= 135*.20
=27
Take the discount from the original price and that is the new price
new price = original price - discount
= 135-27
=108
Now we need to find the tax
tax = new price * tax rate
= 108 * 9.25%
= 108 * .0925
=9.99
The final price is the new price plus the tax
final price = new price + tax
= 108+9.99
=117.99
Answer:
The answer is 743.4 square inches
Step-by-step explanation:
1. find the length- 2 x 40=80 cm
2. find the width- 1.5 x 40= 60cm
3. find area (Length x width)- 80 x 60= 4800 square cm
4. find length but in inches- 1in=2.54cm length=80/2.54 = 31.5 inches
5. find width but in inches- width= 60/2.54= 23.6 inches
6. Find area(length x width)- 31.5 x 23.6= 743.4 square inches
