Answer:
x = ± 
- 3
Explanation:
I'm assuming you want the solutions to that equation, so here goes! (If not, please comment.)
(x-3)(x+9)=27
Let's FOIL this all out and expand. (Remember: First, Outer, Inner, Last.)
x^2 + 9x - 3x - 27
(first+ inner + outer + last)
x^2 + 9x - 3x - 27 = 27
Combine like terms, and add 27 to both sides.
x^2 + 6x - 27 + 27 = 27 + 27
x^2 + 6x = 54
Let's complete the square, because factoring doesn't work, and because it's good practice.
x^2 + 6x + ___ = 54 + ____
In the blank we will put b/2 ^2 = 6/2 ^2 = 3^2 = 9 to complete the square.
x^2 + 6x + 9 = 54 + 9
Now we've got a perfect square factor:
(x + 3)^2 = 63
sqrt(x+3)^2 = 
x + 3 = ±
x = ± - 3
Answer:
<em>Correct choices: a) 5:12 and c) 7 to 12</em>
Step-by-step explanation:
The ratio of red beads to pink beads is 5:7. This means that for every 5 red beads there are 7 pink beads.
It also means that for every 12 beads there are 5 red beads and 7 pink beads.
Therefore, there are two part-to-whole ratios:
5:12 red beans to total beads, and
7:12 pink beans to total beads
Correct choices: a) 5:12 and c) 7 to 12
Answer:
2 Tons Wood
Step-by-step explanation:
According To Question,
Given,the ratio of the weight of wood to the weight of raw materials used by a factory is 16 : 56 or 2 : 7 .
And, Factory were to use 7 tons of raw materials .
Thus, if 56 ⇒⇒ 7Tons of Raw Material
So,
16⇒⇒2 Tons of Wood Material .
