Answer:
Richard's cumulative GPA = 2.5
Step-by-step explanation:
Richard's cumulative GPA for 3 semesters was 2.0 for 42 credits.
Average = 2
Total credits = 42
Average = sum of terms/total no of terms
2 = sum of terms/42
sum of terms = 84 ....(1)
His fourth semester GPA was 4.0 for 14 course units
Average = 4
Total credits = 14
sum of terms = 56 .....(2)
Average for 4 semesters,

Hence, Richard's cumulative GPA for all 4 semesters is 2.5.
The dimensions of the rectangular area of Tina's fence is 40 ft by 40 ft
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<h3>Area of a rectangle:</h3>
where
l = length
w = width
She wants to create a rectangular area of 1,600 square feet for her pet . Therefore,
lw = 1600
Therefore,
perimeter = 160 ft
Then,
perimeter of rectangle = 2(l + w)
160 = 2(l + w)
l + w = 80
Let's combine the equations
lw = 1600
l + w = 80
l = 80 - w
Therefore,
w(80 - w) = 1600
80w - w² = 1600
Therefore,
w² - 80w + 1600 = 0
w² - 40w - 40w + 1600 = 0
w(w - 40) - 40(w - 40) = 0
(w - 40)(w - 40) = 0
w = 40 or 40
Therefore, the dimensions can be calculated as follows:
lw = 1600
40l = 1600
l = 1600 / 40
l = 40 ft
Therefore, the dimensions are 40ft by 40 ft
learn more on algebraic model here: brainly.com/question/4151078
Answer:
5 minutes.
Step-by-step explanation:
We have been given that a bank finds that the average number of people waiting in line during lunch hour is 10. On average, during this period, 2 people per minute leave the bank after receiving service.
We will use flow time formula to solve our given problem.


Therefore, on average bank customers wait in line for 5 minutes.
Answer:
8:4
Step-by-step explanation:
Given that,
The ratio of the areas of similar polygons is 64: 16, A₁:A₂=64: 16
We need to find the ratio of their sides. For similar polygons, the ratio of the area is proportional to the square of the ratio of their corresponding sides.
Let sides are x₁ and x₂. So,

So, the required ratio is 8:4.
Answer:
(1/3) weeks worth of pay.
Step-by-step explanation:
Keith has 3(1/12) weeks worth of pay in a wallet.
Keith has 3(5/12) weeks worth of pay in the bank.
How many more weeks of pay is in Keith's bank than Keith's wallet?
The number of weeks more of pay in Keith's bank than Keith's wallet
= (Number of weeks worth of pay in the bank) - (Number of weeks worth of pay in the wallet)
= 3(5/12) - 3(1/12)
= (4/12) = (1/3) weeks worth of pay.
Hope this Helps!!!