Answer:
1/2
Step-by-step explanation:
9/10 - 4/10 = (9-4) / 10 = 5/10 = 1/2
Since there are 2 semesters per year we have:
(1/2)(24,870 - 7,560) = $8,655
David would have to contribute $8,655 per semester.
You can subtract separately: 7-3=4 7/8-1/4=5/8. The answer would be 4 5/8
The dimensions of the prism can be 2x, 2x+3 and x+6.
We first factor out the GCF of the trinomial. The GCF of the coefficients is 2. Each term has an x in common as well, so the GCF is 2x.
Factoring out the 2x, we have
2x(2x²+15x+18).
To factor the remaining trinomial, we find factors of 2*18=36 that sum to 15. 12*3 = 36 and 12+3 = 15. We split up 15x into 12x and 3x:
2x(2x²+12x+3x+18)
Now we group together the first two terms in parentheses and the last two:
2x((2x²+12x)+(3x+18))
Factor out the GCF of the first group:
2x(2x(x+6)+(3x+18))
Factor out the GCF of the second group:
2x(2x(x+6)+3(x+6))
Factoring out what these have in common,
2x(x+6)(2x+3)
