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Roman55 [17]
3 years ago
7

Which ratio represents 36%? A. 3/8 B. 9/25 C. 7/20 D. 11/30

Mathematics
1 answer:
Sladkaya [172]3 years ago
6 0

Answer:  B. 9/25

Work Shown:

x% = x/100

36% = 36/100

36% = (9*4)/(25*4)

36% = 9/25

Using your calculator, you should find that 9/25 = 0.36 which converts to 36%, so that helps confirm the answer.

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8 0
3 years ago
Factor completely 81x8 − 1. (9x4 − 1)(9x4 1) (3x2 − 1)(3x2 1)(9x4 − 1) (3x2 − 1)(3x2 1)(9x4 1) (3x2 − 1)(3x2 1)(3x2 1)(3x2 1).
mojhsa [17]

Answer:

(3x^2 - 1)(3x^2 + 1)(9x^4 + 1).

Step-by-step explanation:

Using the identity for the difference of 2 squares;

a^2 - b^2 = (a - b)(a + b)  

we put a^2 = 81x^8 and b^2 = 1  giving

a = 9x^4 and b = 1, so:

81x^8 − 1 =   (9x^4 - 1)(9x^4 + 1)

Applying the difference of 2 squares to 9x^4 - 1:

= (3x^2 - 1)(3x^2 + 1)(9x^4 + 1).

4 0
2 years ago
Write the set of points from −2 to 6 but excluding 3 and 6 as a union of intervals:
KengaRu [80]

Answer:

[-2,6] - {3} - {6}  =   [-2,3)  ∪   (3,6)

Step-by-step explanation:

Union Of Intervals

Let us assume two interval A =  (a,b) and  C = (c,d).

Their union is written as :   A ∪ C = (a,b) ∪ (c,d)

Now, if interval is written in form [a,b] ⇒  a and b are INCLUDED in interval

Also, if interval is written in form (a,b) ⇒  a and b are NOT INCLUDED in interval

Here, the given interval is [-2,6]

excluding 3 and 6 from this will give:

[-2,3)  ∪   (3,6)

The first set is [-2.3)   where  -2 is INCLUDED but 3 is NOT INCLUDED.

The second set is (3,6)   where 3 and 6 both are  NOT INCLUDED.

Hence,   [-2,6] - {3} - {6}  =   [-2,3)  ∪   (3,6)

6 0
4 years ago
Is x= -2 a solution to 3x-6=12?
omeli [17]

Answer:

No

Step-by-step explanation:

3x - 6 = 12

3x = 18

x = 6

The only solution of the equation 3x - 6 = 12 is x = 6.

Answer: No

5 0
3 years ago
Read 2 more answers
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