1/2. 50 pennies equals $0.50
Answer:
Below.
Step-by-step explanation:
f) (a + b)^3 - 4(a + b)^2
The (a+ b)^2 can be taken out to give:
= (a + b)^2(a + b - 4)
= (a + b)(a + b)(a + b - 4).
g) 3x(x - y) - 6(-x + y)
= 3x( x - y) + 6(x - y)
= (3x + 6)(x - y)
= 3(x + 2)(x - y).
h) (6a - 5b)(c - d) + (3a + 4b)(d - c)
= (6a - 5b)(c - d) + (-3a - 4b)(c - d)
= -(c - d)(6a - 5b)(3a + 4b).
i) -3d(-9a - 2b) + 2c (9a + 2b)
= 3d(9a + 2b) + 2c (9a + 2b)
= 3d(9a + 2b) + 2c (9a + 2b).
= (3d + 2c)(9a + 2b).
j) a^2b^3(2a + 1) - 6ab^2(-1 - 2a)
= a^2b^3(2a + 1) + 6ab^2(2a + 1)
= (2a + 1)( a^2b^3 + 6ab^2)
The GCF of a^2b^3 and 6ab^2 is ab^2, so we have:
(2a + 1)ab^2(ab + 6)
= ab^2(ab + 6)(2a + 1).
Reduce the fraction 4/10, to its minimum expression, extracting and canceling 2.
Combine 
and -2x to get 
.
Subtract 8/5 from both sides.
Since 4/5 and 5/8 have the same denominator, join their numerators to subtract them.
Subtract 8 from 4 to get -4.
Multiply both sides by 
, the reciprocal of .
Multiply -4/5 by -5/8 (to do this, multiply the numerator by the numerator and the denominator by the denominator).
Reduce the fraction 20/40 to its lowest expression by extracting and canceling 20.
- <u>Good luck in your studies</u>
Using the edge lengths already given, I calculated the height of the right side of the irregular octagon by adding the heights on the left. Since they added to 9m, then I put 9 on the edge with a missing height. To find the missing length, I subtracted the quantity of 6+6 from 18 (you can also divide 18 by 3) to get 6. Now that I know all the lengths, I can add them to get the perimeter. Since 3+3+3+6+6+6+9+18, or (3*3)+(6*3)+9+18 is equal to 54, our answer is 54.
