To ensure he never eats the whole cake, Bobby only decides to eat half of what’s left for each serving. If 2/3 of the cake are left initially, and no one else but Bobby eats the cake, how much of the cake will Bobby have eaten by his 5th serving?
Answers
2nd serving: 1/3 * 1/2 = 1/6
3rd serving: 1/6 * 1/2 = 1/12
4th serving: 1/12 * 1/2 = 1/24
5th serving: 1/24 * 1/2 = 1/48
1/3 + 1/6 + 1/12 + 1/24 + 1/48
1/3 * 16/16 = 16/48
1/6 * 8/8 = 8/48
1/12 * 4/4 = 4/48
1/24 * 2/2 = 2/48
1/48 * 1/1 = 1/48
16/48 + 8/48 + 4/48 + 2/48 + 1/48 = 31/48
Bobby ate 31/48 of the cake in total.
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Bryan's net pay for the week, rounded to the nearest dollar, will be $ __________.
Answers
multiply the number of hours worked by the hourly wage. Once you have that number multiply that by the percent deducted. Subtract the percent deducted number from the gross pay and you have your answer.
Note: each deduction is taken out of the total gross pay.
3
B.
2
C.
-0.5
D.
-3
Answers
Answer:
3
Step-by-step explanation:
Given :
To Find: What is the coefficient of x in the division
Solution:
On Dividing we
Quotient = 3x+2
Remainder = -3x
So, coefficient of x in quotient = 3
Thus the coefficient of x in the division is 3
Hence Option A is correct
Answers
Answer:
its 120 your supposed to divide 120 ÷ 100% and ur answer will be 120
Answers
A function assigns the values. The temperature that will model most accurately predict the time spent cooling will be 300.
What is a Function?
A function assigns the value of each element of one set to the other specific element of another set.
For the given function , the value of t which will lie within the given function range will be the value function that will model most accurately predict the time spent on cooling. Therefore, let's substitute the values and check,
A.) t = 0
As the value of t will lie at infinite, therefore, this will not give an accurate prediction of the model.
B.) f(t) = 100
When the value of the function will be 100 then the value of t will be 61.6, therefore, this can not be the most accurate prediction.
C.) f(t) =300
When the value of the function will be 300 then the value of t will be 7.5, therefore, this is the most accurate prediction.
D) f(t) = 400
When the value of the function will be 400 then the value of t will be -6.724, therefore, this can not be the most accurate prediction.
Thus, the temperature that will model most accurately predict the time spent cooling will be 300.
Learn more about Function:
Answer:
c. 300 on edge
Step-by-step explanation:
just took the test
Answers
In general, you solve a problem like this by identifying the vertices of the feasible region. Graphing is often a good way to do it, or you can solve the equations pairwise to identify the x- and y-values that are at the limits of the region.
In the attached graph, the solution spaces of the last two constraints are shown in red and blue, and their overlap is shown in purple. Hence the vertices of the feasible region are the vertices of the purple area: (0, 0), (0, 1), (1.5, 1.5), and (3, 0).
The signs of the variables in the contraint function (+ for x, - for y) tell you that to maximize C, you want to make y as small as possible, while making x as large as possible at the same time. The solution space vertex that does that is (3, 0).
To solve a problem like this, we can identify the vertices of the feasible region.
The vertex that satisfies this is (3, 0). Therefore, the maximum value of C is 3.
What is the Feasible Region?
The feasible region is the area where all the constraints are satisfied. In this case, the feasible region is the purple area in the graph. The vertices of the feasible region are (0, 0), (0, 1), (1.5, 1.5), and (3, 0).
To maximize C, we want to make y as small as possible and x as large as possible. The vertex that satisfies this is (3, 0). Therefore, the maximum value of C is 3.
Read more about vertex here:
#SPJ4
Answers
then, using pythag 144+144 =288
ans square rooted gives answer , around 16.3