Answer:
The novel has 2160 pages.
Step-by-step explanation:
The number of pages of the novel is x.
Mica has read 1/2 of the novel, so x/2 = 0.5x.
Denise has read 2/5 of the novel, so 2x/5 = 0.4x.
Mica has read 216 pages more than Denise
This means that:
0.5x - 0.4x = 216
0.1x = 216
x = 216/0.1
x = 2160
The novel has 2160 pages.
Yes, she is correct
1/2 + 1/2 = 1 or 0.5 + 0.5 = 1 so half of a wall plus half of a wall equals one hole wall.
That's as simple as I can put it mathematical reasoning. I hope this helps
Answer:
D
Step-by-step explanation:
Given
- 1(x + 7)(x - 4)
each term in the second factor is multiplied by each term in the first factor, that is
leaving the multiplier of - 1 for the time being
x(x- 4) + 7(x - 4) ← distribute both parenthesis
= x² - 4x + 7x - 28 ← collect like terms
= x² + 3x - 28
Hence
- 1(x² + 3x - 28) = - x² - 3x + 28 → D
Answer: B, $78
Step-by-step explanation:
If the tip is 20% of the dinner cost, then we have to first find what is 20% of 65.
20% x 65 = 13. So the tip for the dinner is 13 dollars.
Now we have to add it to the original dinner cost.
65 + 13 = 78.
Therefore, the total cost of their meal is 78 dollars. So the answer is B, $78!
Pull an x from the first two terms
x(x^3 + y^3) + (x^3 + y^3) Now x^3 + y^3 is a common factor.
(x^3 + y^3)*(x + 1) That should be far enough. It can be factored further by factoring (x^3 + y^3) but there is no point because you can't do anything after that. But in case you want to know how x^3 + y^3 factors
(x^3 + y^3) = (x + y)(x^2 - xy + y^2)
Which means you could write original polynomial as
(x + y)(x^2 - xy + y^2)(x + 1)
Part B
You factored the x out of xy^3 so that you would have a common factor (x^3 + y^3) to pull out as a common factor for the whole polynomial.