25% is 1/4.
This means that 1/4 of the books in the library is 54, so just multiply 54 by 4, which gives you 100%, or all of the books. 54 times 4 is equal to 216, so there are 216 books in the library.
Answer:
x = 10/3
, y = 0
Step-by-step explanation:
Solve the following system:
{4.5 x - 2 y = 15
3 x - y = 10
In the first equation, look to solve for x:
{4.5 x - 2 y = 15
3 x - y = 10
4.5 x - 2 y = (9 x)/2 - 2 y:
(9 x)/2 - 2 y = 15
Add 2 y to both sides:
{(9 x)/2 = 2 y + 15
3 x - y = 10
Multiply both sides by 2/9:
{x = (4 y)/9 + 10/3
3 x - y = 10
Substitute x = (4 y)/9 + 10/3 into the second equation:
{x = (4 y)/9 + 10/3
3 ((4 y)/9 + 10/3) - y = 10
3 ((4 y)/9 + 10/3) - y = ((4 y)/3 + 10) - y = y/3 + 10:
{x = (4 y)/9 + 10/3
y/3 + 10 = 10
In the second equation, look to solve for y:
{x = (4 y)/9 + 10/3
y/3 + 10 = 10
Subtract 10 from both sides:
{x = (4 y)/9 + 10/3
y/3 = 0
Multiply both sides by 3:
{x = (4 y)/9 + 10/3
y = 0
Substitute y = 0 into the first equation:
Answer: {x = 10/3
, y = 0
They are alike because you are just doubling the number by 2
4(-6x – 3) + 24x = -72x + 132
Step 1 -24x – 12 + 24x = -72x + 132 Distribute Property of Equality
Step 2: –12 = -72x + 132 equivalent
Step 3: -144 = -72x Subtraction Property of equality
Step 4: 2 = x Equivalent / Division property of equality
Answer:
The answer to your question is below
Step-by-step explanation:
Data
Volume = 24 in³
Process
1.- Find the prime factors of 24
24 2
12 2
6 2
3 3
1
2.- Volume of a rectangular package
Volume = length x height x width
3.- Possible values are, combine the prime factors to find the volume
Volume = 4 x 2 x 3 or
Volume = 2 x 4 x 3
Volume = 3 x 2 x 4
Volume = 2 x 2 x 6
Volume = 6 x 2 x 2
Volume = 2 x 6 x 2
Volume = 12 x 2 x 1
Volume = 1 x 12 x 2
Volume = 2 x 1 x 12
