A large container can hold 1.2 ounces of salt, since it says double the amount of the small, which is 0.6 ounces.
8 large salt shakers can hold (1.2 • 8) ounces of salt.
1.2 • 8 = 9.6
If only 9.6 out of the 18.6 ounces are used, there is (18.6 - 9.6) ounces left.
18.6 - 9.6 = 9
Now just divide 9 by 0.6 to find how many small containers can be filled.
9 / 0.6 = 15
The answer is 15 small shakers can be filled with the remaining salt.
By taking the quotient between the volumes, we conclude that he must use the blue cup 16 times or the green cup 4 times.
How many times does he need to use each cup?
The volume of the sink is 512π in^3.
The blue cup is a cylinder of diameter = 4 in and a height = of 8 in, then its volume is:
V = π*(4in/2)^2*8in = 32π in^3
The number of times that he needs to use this cup is given by:
N = (512π in^3)/(32π in^3) = 512/32 = 16
He needs to use 16 times the blue cup.
The green cup has a diameter =of 8in and a height = of 8in, then its volume is:
V' =π*(8in/2)^2*8in = 128π in^3
The number of times that he must use this cup is:
N' = (512π in^3/ 128π in^3) = 512/128 = 4
He needs to use 4 times the green cup.
hope it helps
have a good day :)
Answer:
A) No, because the greatest common factor is 8y?, and the completely factored form is 8y2(4y2 - 6y + 3).
Step-by-step explanation:
Considering the expression
4y(8y3 – 12y2 + 6y)
From the elements in the parenthesis, 2 and y can still be factored out such that what will be left of each element
8y3/2y = 4y2
12y2/2y = 6y
6y/2y = 3
Hence
4y(8y3 – 12y2 + 6y) = 4y*2y(4y2 - 6y +3)
= 8y2(4y2 - 6y + 3)
<span>Social Security tax is a percentage that both employees and employers must contribute 6.2% of employee compensation, for a total of 12.4%.
The social security that would be applied to an annual salary of $235,430 is 12.4% of $235,430 = 0.124 x $235,430 = $29,193.32
The Medicare payroll tax is 2.9%. It applies only to earned income, which is wages you are paid by an employer, plus tips. You're responsible for 1.45% of the tax, and it's deducted automatically from your paycheck. Your employer pays the other 1.45%
The Medicare tax that would be applied to an annual salary of $235,430 using $106,800 as the maximum taxable income is 2.9% of $235,430 = 0.029 x $235,430 = $6,827.47
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