Area = length x width
replace the known information into the equation:
area = 2/3
width = 1/2
so now the formula looks like:
2/3 = 1/2 x L
to solve for L we divide both sides by 1/2
L = 2/3 / 1/2 which = 2/3 * 2/1 = 4/3 = 1 and 1/3 km
Answer: Second option.
Step-by-step explanation:
Let be "e" the number of easy puzzles Tina solved and "h" the number of hard puzzles Tina solved.
Set up a system of equations:

You can use the Eliminationn Method to solve this system of equations:
- Multiply the first equation by -30.
- Add the equations.
- Solve for "h".
Therefore, through this proccedure, you get:

Answer:
144
Step-by-step explanation:
Susan can pick 4 pounds of coffee beans in an hour. Tom can pick 2 pounds of coffee beans in an hour. Together, they can pick 6 pounds of coffee an hour.
4 + 2 = 6
There are 24 hours in a day. Multiply the time by the amount that can be picked to find the answer.
24 × 6 = 144
Together, the maximum number of pounds of coffee beans the can pick in a day is 144 pounds.
Answer: Option (B) is correct.
Step-by-step explanation:
The number of points scored during a basketball game is a discrete random variable.
Discrete Random variable:
A discrete random variable is a variable whose value can be evaluated by counting. It is also referred as a countable and finite values. Examples of discrete random variable are as follows:
-The quantity of runs scored during a ball game
- Number of hits a site gets during seven days
- Number of lights that wear out in the following year in a stay with 13 bulbs
- Number of pigeons in a city
- Number of free-toss endeavors before the principal shot is missed
Answer:
8 + i
Step-by-step explanation:
What you need to simplify this is the following "definitions" of i to different powers.




Now we can sub these in for the various powers of i in our expression:

Simplifying a bit:

Since we know that the square root of i-squared is i, and that the square root of 49 is 7, we can get rid of the radial sign as follows:
6 - 6i + 2 + 7i
And the final answer, in a + bi form, is
8 + i