Find the greatest common factor (GCF) for 27p3 and 9p.

Answers

Answer 1
Answer: 9p

working;
9p divides both terms without leaving a fraction

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Determine the solution to the system of equations by using substitution. Y=4x+10Y=-5x-10

Why is the sum of a rational number and its opposite always equal to 0

Answers

because its like saying what's 4-4=0. -4 and 4 are the same distance away from zero, so if you subtract them (or add them), it'll always end up to be zero

The sum of a number y and -3 is -8 .

Answers

Answer:

-5 IDS THE AANSERRRRR thanks

Step-by-step explanation:

fifteen percent of the workers at nationwide industries earn minimum wage. if 24 workers earn minimum wage, how many total workers are there at nationwide industries.?

Answers

24/.15 (for the decimal value of 15%) to obtain a value of 160 nationwide industry workers

I don’t understand the answer can you explain it please?

Jane has been growing two bacteria farms. Bacteria farm Rod has a starting population of 2 bacteria, while Bacteria farm Sphere has a starting population of 8 bacteria. However, Jane starts growing Rod five hours before she starts growing Sphere. At 8 p.m., Jane checks her farms and finds that they have the exact same population. If the population of Rod doubles every hour, but the population of Sphere is quadrupled every hour, how many hours ago did she start growing Sphere?

Answers

Answer: Jane started growing Sphere 3 hours ago

Step-by-step explanation:

Farm Rod starting population (Rsp) = 2

Farm Sphere starting population (Ssp) = 8

Let´s name "Rh" the quantity of hours since Rod started growing, and

"Sh" the quantity of hours since Sphere started growing.

And, let´s name "R" the population of farm Rod at 8 p.m. and "S" the population of farm Sphere at 8 p.m.

Population of Rod doubles every hour, therefore:

R = Rsp * 2^(Rh)

R = 2(2^(Rh))

Population of Sphere is quadrupled every hour, therefore:

S = Ssp * 4^(Rh)

S = 8(4^(Rh))

At 8 p.m. Jane found that R = S

Therefore, at 8 p.m:

2(2^(Rh)) = 8(4^(Sh))

dividing both sides by 2

2^(Rh) =4(4^(Sh))

adding exponents

2^(Rh) = 4^(Sh+1)

2^(Rh) =2^{2^(Sh+1) }

the bases are the same; exponents must be the same

Rh = 2Sh + 2    (equation 1)

And we also know that Jane started growing Rod five hours before Sphere:

Rh = Sh + 5    (equation 2)

Replacing equation 2 into equation 1:

(Sh + 5) = 2Sh + 2

5 - 2 = 2Sh - Sh

3 = Sh, or

Sh = 3

Jane started growing Sphere 3 hours ago.  

Find the given term 11, -33,99 9th term

Answers

Assuming the sequence goes on like this 11,-33,99,-297,891,...,
its general formula is a_n=-11\cdot(-1)^n\cdot3^(n-1)

So, the 9th term is
a_9=-11\cdot(-1)^9\cdot3^(9-1)=-11\cdot(-1)\cdot6561=72171

If the sales tax is 7% and the purchase price is $161, what is the amount of tax?

Answers

7 \% \ from \ 161 \ = \ (7)/(100) * 161 = ( 1127)/(100) = 11,27\ is \ amount \ of \ tax \