MATHEMATICS
MIDDLE SCHOOL

Answer: All you have to do is multiply the .99 buy 3, if it equals less than $2.50, which it doesn't then it is the better deal.

Answer: Divide 2.50/6 = .42 each lemon in bag, while 2 for .99 would be .495 for each lemon

HIGH SCHOOL

What are the factors of 6tu

Depending on the value of 't' and 'u', the numerical value of that expression

could have almost anything for factors.

For example, if 't' happens to be 3 and 'u' happens to be 10, then 6tu = 180,

and the factors of 6tu are

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, and 180.

But that would only be temporary ... only as long as t=3 and u=10.

The only factors you can always count on, that don't depend on the values

of 't' and 'u', are

1, 6, t, u, 6t, 6u, tu, and 6tu .

MIDDLE SCHOOL

The equation below has one solution. 9x-10 = 3x+2

What is the solution to the equation?

1) -2

2)-1

3) 1

4) 2

Answer:

x = 2

Step-by-step explanation:

Given

9x - 10 = 3x + 2 ( subtract 3x from both sides )

6x - 10 = 2 ( add 10 to both sides )

6x = 12 ( divide both sides by 6 )

x = 2

Answer:

x=2

Step-by-step explanation:

Given

9x - 10 = 3x + 2 ( subtract 3x from both sides )

6x - 10 = 2 ( add 10 to both sides )

6x = 12 ( divide both sides by 6 )

x = 2

COLLEGE

. In the design of an electromechanical product, 12 components are to be stacked into a cylindrical casing in a manner that minimizes the impact of shocks. One end of the casing is designated as the bottom and the other end is the top. (a) If all components are different, how many different designs are possible? (b) If seven components are identical to one another, but the others are different, how many different designs are possible? (c) If three components are of one type and identical to one another, and four components are of another type and identical to one another, but the others are different, how many different designs are possible?

Answer:

(a) 479,001,600 combinations (b) 95,040 combinations (c) 3,326,400 combinations

Step-by-step explanation:

(a) In the case we have 12 different elements to stack, the possible combinations can be calculated as a premutation of 12 elements:

P = 12! = 479,001,600 combinations

(b) If seven components are identical, we have a permutation with repetition.

We have 7!=5040 combinations that are the same, so there is only one unique out of 5040 combinations. We have to divide the total possible combinations by 5040.

P = 12! / 7! = 479,001,600 / 5,040 = 95,040 combinations

(c) In the same way, if we have 3 components of Type 1 and 4 components of Type 2 (and the others all different), we have 3!*4! = 144 combinations that are the same.

P = 12!/(3!*4!) = 479,001,600 / 144 = 3,326,400 combinations

MIDDLE SCHOOL

Which is the same function as -2x – 3 = y? A) f(x) = -2x-3

B) f(-2x) = -3

C) f(-3) = -2x

D) f(x) = -2-3

A; because f(x) and "y" are the same thing. for example f(x)=2x and y=2x are no different

The correct answer is a.