Given: Q = 7m + 3n, R = 11 - 2m, S = n + 5, and T = -m - 3n + 8. Simplify [Q - R] + [S - T].

10m + 5n - 24
10m - 5n + 24
10m + 7n - 14
10m - 7n - 14

Answers

Answer 1

Answer: 10m + 7n - 14

Steps:
[7m + 3n -(11 - 2m)] + [n + 5 -(-m -3n + 8)]
7m + 3n -11 + 2m + n + 5 + m + 3n - 8
10m + 7n - 14

Answer 2

Answer:

Answer:10m + 7n - 14

Steps:

[7m + 3n -(11 - 2m)] + [n + 5 -(-m -3n + 8)]

7m + 3n -11 + 2m + n + 5 + m + 3n - 8

10m + 7n - 14

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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.

What is the equation of a line that has a slope of 2 and passes through point (-1, 7)?

Answers

Answer:

2x+9

Step-by-step explanation:

Kuta Software - Infinite Algebra 1
Finding Slope from a graph

Answers

what is the question ?

Answer:

Step-by-step explanation:

Helpppppppppppppppppppppppppppppppppppppppppp meee

Answers

Answer:

the gcf if 12xy^2

Step-by-step explanation:

12xy^2 goes into all three terms.

hope this helps

mark brainliest?

Solve if you are a genius.No trick. Pure math. Gud luck Solve it

You are standing in one big palace where a king and his 5 queens stay.
Each queen has 5 rooms. In each room there are 5 big cats.
Each big cat has 5 little cats. Each cat has 4 legs.How many legs are there in the palace?

Take ur time...Solve if you are a genius.

No trick. Pure math. Gud luck Solve it

You are standing in one big palace where a king and his 5 queens stay.
Each queen has 5 rooms. In each room there are 5 big cats.
Each big cat has 5 little cats. Each cat has 4 legs.How many legs are there in the palace?

Take ur time...

Answers

ok, we don't know if anyone is in there, maybe they all went grocery shopping
in that scenario, you are the only one (I hope) and therefor answer is 2 legs

if everybody is in ther (including yourself)

king=1
queens=5
how many rooms total?
5 times 5=25 rooms
5 big cats per room
5 times 25=125 big cats
each big cat has 5 little cats
125 times 5=625 little cats

1 king
5 queens
125 big cats
625 little cats

people has 2 legs
casts have 4
1*2+5*2+125*4+625*4=3012 legs
plus yourself (2 legs)
3014 legs

2 answers
1. you are alone in pallace, quesiton never mentioned that the king and co were in the pallace, only yourself, therfor answer is 2 legs (yours)
2. everybody is in there including yourself, and answer is 3014 legs

Did I do this correctly?

Answers

The correct answer for the question that is being presented above is this one: Yes, you did answer the problem correctly.

The P(A or B) = P(A) + P(B)
P(A OR B) = 12/15
P(A) = 8/15
P(B) = P(A or B) - P(A)
P(B) = 12/15 - 8/15
P(B) = 4/15

Answer:

yes you did

Step-by-step explanation:

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