A + b = 15 ..... eq 1
a – b = 12 ...... eq 2
So a = 15 – b
Substitute in eq 2 :
15 – b – b = 12
15 – 2b = 12
–2b = 12 – 15
b = 1.5
So a = 15 – 3/2 = 13.5
4ab = 4 x 13.5 x 1.5 = 81
2(2x − 1) > 6 or x + 3 ≤ −6
2(2x − 1) > 6
4x - 2 > 6
4x > 8
x > 2
or
x + 3 ≤ −6
x ≤ - 9
Solution: x ≤ - 9 or x > 2
(- ∞ , - 9] or (2 , + ∞)
Answer is the first one
(- ∞ , - 9] or (2 , + ∞)
He spent $2.35 at the store. Hope it helps! :D
Answer:
What is the GCF of 36 and 84?
Find the prime factorization of 36.
Find the prime factorization of 84. 84 = 2 × 2 × 3 × 7.
To find the GCF, multiply all the prime factors common to both numbers: Therefore, GCF = 2 × 2 × 3.
GCF = 12.
The common factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84. We can get all the factors using the prime factorization method.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The composite solid consists of a cylinder and a cone. Therefore, its total volume will be the sum of the volumes of the cylinder and cone:
Volume of the cone: 
Volume of the cylinder: 
Thus, the total volume of the solid is:
