When multiplying fractions, you multiply the denominators together and the numerators together.
3/8 x 4/9
(4•3)/(8•9)
12/72 = 1/6
1/6 is the final answer.
Number of books each of them have:
Jaime: x
Grant: x - 6
Ky: 3 (x - 6)
There are 176 books in total, so we can write it down as:
176 = x + x - 6 + 3 (x - 6)
176 = x + x - 6 + 3 * x + 3 * (-6)
176 = x + x - 6 + 3x - 18
176 = 2x - 6 + 3x - 18
176 = 5x - 24 / + 24 (both sides)
5x = 200 / ÷ 5 (both sides)
x = 40
Doublecheck:
Jamie: 40
Grant: 40 - 6 = 34
Ky: 3 (40 - 6) = 3 * 34 = 102
102 + 34 + 40 = 176, so it's correct :)
Answer:
see explanation
Step-by-step explanation:
Given
(x + 2)(x - 7) = 0 ← in standard form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 7 = 0 ⇒ x = 7
Thus the zeros are x = - 2 and x = 7
Given:
The equation of a circle is
To find:
The center and radius of the given equation by completing the square.
Solution:
The standard form of a circle is
...(i)
where, (h,k) is center and r is radius of the circle.
We have,
It can be written as
...(ii)
On comparing (i) and (ii), we get
Therefore, the center is and the radius is units.
Answer:
B) 12p - 10
Step-by-step explanation:
J = 3p
A = 2(3p) = 6p
S = 3p - 10
add together:
3p + 6p + 3p - 10 = 12p - 10