Let 
be the scores of the first 8 quizzes. We know that the average of these scores is 85, so we have
The average of the first 9 scores is 81, and it is given by
But we know that the sum of the first 8 is 680:
And we can solve for the nineth score: multiply both sides by 9:
Subtract 680 from both sides:
Answer: Exact form:25/3
Decimal form:8.3
Mixed number form: 8 1/3
Step-by-step explanation:
The number of possible seats is an illustration of permutation
There are 1728 possible sitting arrangements
<h3>How to determine the number of seats</h3>
From the question, we have the following highlights:
- Chris can only take 1 seat (i.e. the central seat)
- Jo can take 2 seats (i.e. the seats adjacent the central seat)
- Alex, Barb and Dave can take 3! number of seats
- Eddie, Fred, and Gareth can take 3! number of seats on the right of Chris.
- The remaining 4 adults do not have preference, then they can seat in 4! ways
So, the number of sitting arrangement is:
Evaluate the product
Hence, there are 1728 possible sitting arrangements
Read more about permutation at:
brainly.com/question/12468032
Answer:
A) 49.4
B) 40
C) 0.00539
D)583.33
Step-by-step explanation:
A)
1 meter/3.25 feet = 15.2 meters/x feet
x feet * 1 meter = 15.2 meters* 3.25 feet
x = 15.2 meters* 3.25 feet/1 feet* meter
x = 49.4
B) 1.6 kilometers/1 mile = x kilometers/25 miles
multiplying both sides by 25 miles
(1.6 kilometers/1 mile )* 25 miles =( x kilometers/25 miles) * 25 miles
=> 40 kilometers = x kilometers
x = 40
C) 0.926 meter/1 yard = 200 meters/x yards
dividing both sides 200 meters
0.926 meter/(1 yard*200 meters) = 200 meters/(x yards
*200 meters)
185.2 /1 yard = 1/ x yards
x yards = 1 yards/185.2
=> x = 0.00539
D) 1 kilometers/0.6 mile = x kilometers/350 miles
multiplying both sides by 350 miles
(1 kilometers/0.6 mile ) 350 miles= (x kilometers/350 miles) 350 miles
=> 583.33 kilometers = x kilometers
x = 583.33
Step-by-step explanation:
$35.97 minus $17.99 = $17.98
$17.98 = Two shirts
Divide by two to get the price of one shirt
$8.99
