Step-by-step explanation:
5x can also be written as " -3x + 8x " so:
Using the distributive property:
Then again, using the distributive property (but in reverse):
The two numbers that the middle term should be split into in order to factor can be found by listing out pairs of factors for the product of the last term and the coefficient of the first term, and using the two factors whose sum is the middle term.
For eg (because that was a bit text heavy):
The product of the last term and the first coefficient (1 * (-24)) is -24
the factors of -24 include (and their sum)
-1, 24 (23)
1, -24 (-23)
-2, 12 (10)
2, -12 (-10)
-3, 8 (5)
3, -8 (-5)
-4, 6 (2)
4, -6 (-2)
The middle coefficient is 5 and the sum of the factors -3 and 8 are 5, so split 5x into -3x + 8x to be able to factor how I showed before.
With this shape, the key is to split it into two figures which are simpler to figure out. Using the diagram, we can cut the figure along the side parallel to the 29 ft. Then we get one trapezoid whose area is 108 and a triangle whose area is 112.5. Adding them together we get 220.5 units squared.
Answer:
Isolate the variable through inverse operations
Step-by-step explanation:
The given equation is
We need to identify the next step in the equation solving sequence.
Observe that, 2 is multiplying the variable x.
The inverse of Multiplication is division.
To isolate the variable, we divide through by 2.
Therefore the correct answer is
Answer:
The answer is B or 15.
Step-by-step explanation:
the total money saved divided by the time is always 15
Answer:
x = 19/3
Step-by-step explanation:
Solve for x:
30 x = 12 x + 22 + 23 (1 + 3)
Hint: | Evaluate 1 + 3.
1 + 3 = 4:
30 x = 12 x + 22 + 4 23
Hint: | Multiply 23 and 4 together.
23×4 = 92:
30 x = 12 x + 22 + 92
Hint: | Group like terms in 12 x + 22 + 92.
Grouping like terms, 12 x + 22 + 92 = 12 x + (92 + 22):
30 x = 12 x + (92 + 22)
Hint: | Evaluate 92 + 22.
92 + 22 = 114:
30 x = 12 x + 114
Hint: | Move terms with x to the left hand side.
Subtract 12 x from both sides:
30 x - 12 x = (12 x - 12 x) + 114
Hint: | Combine like terms in 30 x - 12 x.
30 x - 12 x = 18 x:
18 x = (12 x - 12 x) + 114
Hint: | Look for the difference of two identical terms.
12 x - 12 x = 0:
18 x = 114
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 18 x = 114 by 18:
(18 x)/18 = 114/18
Hint: | Any nonzero number divided by itself is one.
18/18 = 1:
x = 114/18
Hint: | Reduce 114/18 to lowest terms. Start by finding the GCD of 114 and 18.
The gcd of 114 and 18 is 6, so 114/18 = (6×19)/(6×3) = 6/6×19/3 = 19/3:
Answer: x = 19/3