Answer:
Adam is 9 years old.
Step-by-step explanation:
Let d and c represent Adam's and Alicia's ages.
d = c - 15, and
c + 6 = 2(d + 6)
Rearrange d = c - 15 as c = d + 15, and then substitute d + 15 for c in the second equation. We obtain:
d + 15 + 6 = 2(d + 6), or
d + 21 = 2d + 12
Combining like terms, we get 21 = d + 12, or 9 = d.
If d = 9 then c = d + 15, or c = 9 + 15, or c = 24.
Adam is 9 years old.
Answer:
y=2(x+2)(x+3)
Step-by-step explanation:
First, we need to factor the right side:
y=2(x^2+5x+6)
Now, we can have an incomplete equation like this:
y=2(x+_)(x+_)
In the blanks, we need to fill out numbers that add to be 5 and multiply to be 6. What are factors of 6? 6 and 1, 2 and 3. Do 6 and 1 add to be 5? No. Do 2 and 3 add to be 5? Yes!
So, our factored form is
y=2(x+2)(x+3)
No solution exists for this equation.
In order to find the number of hats, multiply all the choices together, disregarding size:
4 * 4 * 7 <-- 4 styles * 4 stitches * 7 yarns
= 16 * 7 = 112
112 different hats can be made.
900, just 900 very just 900
