The sum of n terms is given from the first term and the common ratio by

For your given values of a1=-11, r=-4, n=8, the sum of 8 terms is

The system of equations have 2 solutions
<h3>How to determine the number of solutions?</h3>
The system of equations is given as:
-1/3x² = 5/6 + 1/3y²
5y² = 25/2 - 5x²
Next, we plot the graph of the system of equations.
From the attached graph, the equations intersect at two points
Hence, the system of equations have 2 solutions
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Answer:Theo worked for 10.5 hours.
Kade worked for 16.5 hours
Step-by-step explanation:
You can convert 2/3 into a fraction that makes adding a lot easier.
Since 3 times 2 is equal to 6, you can multiply the numerator and denominator of 2/3 by 2 to get 4/6.
From there, you add 4/6 + 5/6 to get 9/6.
Since both 9 and 6 are divisible by 3, you can simplify the fraction to 3/2.
Your final answer would be 3/2
Which can also be formatted as 1 1/2 or 1.5
You need to get a common denominator. 3/4= 9/12 because 3x4=12 and 3x3=9. you must do the same thing to both sides. 1/3=4/12 because 3x4=12 and 1x4=4.
2/6=4/12 because 6x2=12 and 2x2=4. 9/12+4/12+4/12=17/12, or 1 5/12. You keep the denominator and add the numerators.