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hram777 [196]
3 years ago
13

16x + 27 14x – 45 25x

Mathematics
1 answer:
Natali [406]3 years ago
5 0
Super easy!

44x
-31x
25x
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Very much need some help ASAP !!
Rudiy27

Answer:

D

Step-by-step explanation:

It cannot be Option A because the values are halve and there is nothing to distribute to them to make the values equal.

It's not option C because if you distribute 2y to each term in the parenthesis

you get -4y^{5}  + 6y³  + 4y².   But where is the 8y² and -2y?

While Option B is equivalent, you can factor it out more and find the common factor of -2 to distribute among them as shown in option D

It is option D because distributing the -2y to each term solves to

-4y^{5}  + 6y³   +  8y²  -2y.

4 0
3 years ago
-9+100 divided by 4•3
loris [4]
You would divide 100 by 4 first because according to PEMDAS (If you learned it already), you would have to go from left to right, and multiplication/division comes before addition/subtraction--so you do that math first--and you would get 25. Then you would do the multiplication because, like I said from before, Multiplication/division comes before addition/subtraction, so you then multiply 25 by 3 to get 75. After this, you do the math from the left to the right, and adding -9 to 75 is the same as 75 minus 9, so you would get 66, and that is your answer.
8 0
3 years ago
The phone lines to an airline reservation system are occupied 45% of the time. Assume that the events that the lines are occupie
dimaraw [331]

Answer:

0.1569 = 15.69%

Step-by-step explanation:

If eight calls were placed, and we need to know the probability of exactly two calls were occupied, we need to calculate a combination of 8 choose 2 (all the combinations of 2 occupied calls in the 8 total calls), and multiply by the probability of each case in the 8 calls (2 cases occupied and 6 cases not occupied):

P(8,2) = C(8,2) * p(occupied)^2 * p(not_occupied)^6

P(8,2) = (8*7/2) * (0.45)^2 * (0.55)^6

P(8,2) = 28 * 0.2025 * 0.02768 = 0.1569 = 15.69%

7 0
3 years ago
How to find lateral surface area of a cylinder with with demotions of h=12 and r=2
nordsb [41]
It's 150.8
If you ever need to find that, type into google "surface area of ____"
3 0
3 years ago
You decide to put $2,000 in a savings account to save for a $3,000 downpayment on a new car. If the account has an interest rate
DanielleElmas [232]

It takes 10.155 years until you have $3,000 ⇒ 3rd

Step-by-step explanation:

The formula for compound interest, including principal sum is:

A=P(1+\frac{r}{n})^{nt} , where

  • A is the future value of the investment/loan, including interest
  • P is the principal investment amount  
  • r is the annual interest rate (decimal)
  • n is the number of times that interest is compounded per unit t
  • t is the time the money is invested or borrowed for

∵ You decide to put $2,000 in a savings account

∴ P = 2000

∵ You want to save for $3,000

∴ A = 3000

∵ The account has an interest rate of 4% per year and is

   compounded monthly

∴ r = 4% = 4 ÷ 100 = 0.04

∴ n = 12 ⇒ compounded monthly

- Substitute all of these values in the formula above to find t

∵ 3000=2000(1+\frac{0.04}{12})^{12t}

- Divide both sides by 2000

∴ 1.5=(1+\frac{1}{300})^{12t}

∴ 1.5=(1\frac{1}{300})^{12t}

- Change the mixed number to an improper fraction

∴ (1.5)=(\frac{301}{300})^{12t}

- Insert ㏒ for both sides

∴ log(1.5)=log(\frac{301}{300})^{12t}

- Remember log(a)^{n}=nlog(a)

∴ log(1.5)=(12t)log(\frac{301}{300})

- Divide both sides by log(\frac{301}{300})

∴ 121.84 = 12 t

- Divide both sides by 12

∴ 10.155 = t

It takes 10.155 years until you have $3,000

Learn more:

You can learn more about the compound interest in brainly.com/question/4361464

#LearnwithBrainly

5 0
4 years ago
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