If the cyclist traveled 2/3 of his journey already, then the remainder would be 1/3 of his journey, which we know is 30 miles. Double that and we have the miles he traveled during the first 2/3, 60. Then divide 60 by the miles per hour, 12, to get 5 hours. Add in the 3 hours from the remaining 1/3 of the journey and you have your total; the cyclist's trip took 8 hours.
Given:
The equation is
To find:
The properties which is not used from the given options.
Solution:
We have,
Using Multiplication Property of Equality, multiply both sides by 2.
(Distributive Property)
Using Subtraction Property of Equality, subtract 6n from both sides.
From the given options only one property is not used, i.e., Zero Product Property.
Therefore, the correct option is D.
the number not located between √9/3 and 2π on the number line is π/9 (option C)
Explanation:
We need to find the numbers between √9/3 and 2π
(√9)/3 = 3/3 = 1
using π as 3.14
2π = 2(3.14) = 6.28
Now we need to check the options for numbers that do not fall between 1 and 6.28:
a) π = 3.14
This number falls between 1 and 6.28
b) √9 = 3
This number falls between 1 and 6.28
c) π/9 = 3.14/9 = 0.35 (approximately)
This number doesnot fall between 1 and 6.28
d) π²/9 = (3.14)²/9 = 1.10 (approximately)
This number falls between 1 and 6.28
Hence, the number not located between √9/3 and 2π on the number line is π/9 (option C)
4(2x-5)+15=11
8x-20+15=11
8x-5=11
8x=11+5
8x=16
x=16/8
x=2
Hope it helps
