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Let S be the sum and a is the first term:

S = S/5 + a = 16

5S = S + 5a = 80

4S = 5a

4 x 16 = 5a

64 = 5a

a = $\boxed{\frac{64}5}$

Yes that's correct

We know the number must NOT contain 0, and the number must be EVEN. That reduces the amount of numbers we have to guess.

The answer is 36

Check: 3*6 = 18, and 18 is half of 36

am i correct?

C : Q = 3 : 2

C - 210 : Q = 1 : 3

\({C \over Q} = { 3 \over 2}\)

\({{C - 210} \over Q} = { 1 \over 3}\)

so C = (3/2)Q

\({{{3 \over 2}Q - 210} \over Q} = {1 \over 3}\)

\({{3 \over 2}Q} - 210 = {1 \over 3}Q\)

\({3 \over 2} - {1 \over 3} = {9 \over 6} - {2 \over 6} = {7 \over 6}\)

\({7 \over 6}Q = 210\)

so Q = 180

So C = 270

now C = 60

so a total of 240

It did!

Thanks

Hello Pi :))

I really want pie after seeing your pfp. 

We know that f(-2) = 3. 

So we should make the 2x + 1 = -2 on the graph y = f(2x + 1) + 3. 

2x + 1 = -2

2x = -3

x = -1.5

y = f(2x + 1) + 3

y = f(2(-1.5) + 1) + 3

y = f(-2) + 3

f(-2) = 3

y = 3 + 3

y = 6

(-1.5, 6)

I hope this helped. 

=^._.^=

The question is poorly written, the numbers do not make sense. 

It should have been written without the LaTex.

ok I have answered it.  

Now

1.5T=0.3T+204

1.2T=204

T=170

A=0.8*T = 0.8*170 = 136

Undefined means the denominator is 0.

So \((a^2 - 4)(a + 3) = 0\).

We can factor \((a^2 - 4) \), which is equal to \((a + 2)(a - 2)\), so (a^2 - 4)(a + 3) = \((a + 2)(a - 2)(a + 3)\) = 0, so a = -2, 2, -3

\(a = (-3, -2, 2)\)

1/3 of 36 = 1/3 x 36 = $\boxed{12}$

This question is not nonsense; it's just wrongly typed.  

Jugoslav corrected the question and gave the right answer! 

Let’s see...

Eeny, meeny, miny, moe,

*Wrongly typed question ... has no solutions as presented. 

*Wrongly typed question could equal nonsense.

*Correctly typed question presented by a teacher to demonstrate that some questions have no solution. 

Catch a solution by the toe....

*Modify wrongly typed question by transposing angles A and B.  Solve

*Modify correctly typed question presented by a teacher to demonstrate that some questions have no solution, by transposing angles A and B and solve, defeating the purpose of the teacher presenting a question that has no solution. 

Eeny, meeny, miny, moe,

Me mum says to pick the very best one ... but which one is it? 

GA

36 can only be written in one way given that a

1  x  2  x  3  x  6==36

4! ==24 such sequences as follows:

2556 , 2565 , 2655 , 3455 , 3545 , 3554 , 4355 , 4535 , 4553 , 5256 , 5265 , 5345 , 5354 , 5435 , 5453 , 5526 , 5534 , 5543 , 5562 , 5625 , 5652 , 6255 , 6525 , 6552 , Total =  24 such sequences.

Marion had some money. She spent $210 on a watch and 1/10 of the remaining on a bracelet. If she had 3/8 of the original sum of money left, how much money did she have at first?

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

x - (210 + 1/10(x - 210)) = 3x/8

x = 360

Marion had $360

If we find the total number of integers divisible by 5, and then the total number of integers divisible by 11, we can account for the overlap before subtracting it from the total number of possible integers.

1000 divided by 5 is 200, but we know that 1000 itself cannot be included in the answer. So instead, we have 199 positive integers less than 1000 that are divisible by 5.

1000 divided by 11 is 90.90..., so we know there are a total of 90 positive integers less than 1000 that are divisible by 11.

We want to know which of these numbers overlap, and the overlap would be numbers divisible by both, so 55. 1000 divided by 55 is 18.18..., so we know there are 18 positive integers less than 1000 that are divisible by both 5 and 11.

Therefore, there are 199 + 90 - 18 (we subtract 18 because these 18 numbers are counted two times, and we only need them once) = 271 positive integers less than 1000 that are divisible by 5 or 11.

From there we just subtract this from the total number of positive integers less than 1000 to get 999 - 271 = 728 numbers that fit our criteria.

vertex=(9.5,-16.25)

I used -b/(2a)=19/2=9.5 to solve for the x coordinate. Then substituted to find the y-coordinate --> y=9.5^2-19(9.5)+74, y=-16.25

You can also solve it by completing the square.

(a,b)=(3,4) and (4,3)

(a,b) = (2,5).

AB' = 2.

The solution is x = 1/8.