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icang [17]
2 years ago
15

Simplify each term. please help!! 30 points + brainliest :)

Mathematics
1 answer:
Sunny_sXe [5.5K]2 years ago
7 0

Answer:

1.  27y^3

2. 32c^5

3. 16m^4

4. 64g^3

5. 49j^2

6. -3125z^5

Step-by-step explanation:

Can you help answer my question too, please?

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<img src="https://tex.z-dn.net/?f=1%20%5Cdiv%203%2812%20%2B%20x%29%20%3D%20%20-%208%286%20-%20x%29" id="TexFormula1" title="1 \d
Darya [45]
Buckle up, this one was a long one. 

I set up 1 / 3(12 + x) as a fraction and set it equal to - 8(6 - x). 

Get rid of the parentheses by distributing the integers on the outside. You get 1 / 36 + 3x = - 48 + 8x. 

To get rid of the fraction, you multiply both sides by the (36 + 3x) polynomial to get 1 = (- 48 + 8x)(36 + 3x). 

Now we do the FOIL method to get 1 = 24x^2 + 288x - 144x - 1728. Combine like terms to get 24x^2 + 144x - 1728 = 1. 

Simply again by dividing each term the GCF of 24 to get 24(x^2 + 6x - 72) = 1. 

Factor the inside of the parentheses to get 24(x + 12)(x - 6) = 1. Now divide both sides by 24 to isolate the x variables to get (x + 12)(x - 6) = 1/24.

Set each polynomial equal to 1/24 to get you possible answers for what x can be. 

x + 12 = 1/24. Subtract 12 from both sides; you get x = - 12 + 1/24 to get x = - 11 23/24. 

x - 6 = 1/24. Add 6 to both sides; you get x = 6 + 1/24 to get x = 6 1/24


8 0
3 years ago
You are throwing a pair of dice. What is the probability that you will get a sum of 2?
xz_007 [3.2K]

Answer:

Total favourable outcomes = 36

No. of favourable outcomes of getting a sum of 2 = 1

Probability of getting a sum of 2 = 1/36

7 0
3 years ago
Phyllis invested $11,000, a portion earning a simple interest rate of
NeTakaya

Answer:

First = 1000

Second = 10,000

Step-by-step explanation:

Given the following :

Amount invested = $11,000

A portion earns 2 1/2 % interest per year

The rest earns a rate of 2% per year

Total Interst earned after a year = $255

Amount invested at each rate

Let amount invested at 2 1/2% = a

Amount invested at 2% = 11,000 - a

Simple interest = principal * rate * time

First investment :

a * 5/2% * 1

Second :

(11000 - a) * 2%

Firat investment + second = $225

a * 0.025 + (11000 - a) * 0.02 = 225

0.025a + 220 - 0.02a = 225

0.005a = 225 - 220

0.005a = 5

a = 5 / 0.005

a = 1000

Amount in first investment = 1000

Second investment = 11000 - 1000 = 10,000

3 0
3 years ago
What is the number seven hundred thirty one million nine hundred thirty four thousand thirty written in standard form?
erik [133]
Its standard form is 731,934,030
5 0
3 years ago
In the problem 3r=9/10 how do you solve this to find out what r is
aniked [119]
One way to solve this problem is by:
First multiply both sides by 10
30r=9
Now divide by 30
r=0.3 Final Answer
5 0
3 years ago
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