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BabaBlast [244]
3 years ago
5

5/6 divided 1 1/4 simplify complex fraction.

Mathematics
1 answer:
HACTEHA [7]3 years ago
7 0

Answer: 2/3

Step-by-step explanation:

5/6 divided 5/4

5 times 4 and 6 times 5

equals 20/30

simplify 20/30 =2/3

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Using the Extended Euclidean Algorithm, find integers x and y such that 26x + 9y = 1.
Xelga [282]

Answer:

The solution is: x=-1 and y=3.

Step-by-step explanation:

Let's find the solution, but first let's remember the following:

A / B = C + R where:

A=dividend, B=divisor, C=quotient, and R=remainder. This can be express as follows:

A = (C * B) + R, which is the structure we are going to use next.

Using the Euclidian Algorithm we need to find the highst common factor (HCF) between the coefficients from your equation, this means:

The original equation: 26x+9y=1 is in the form Ax+By=C, so A=26, B=9 and C=1.

We need to find the HCF of 'A' and 'B'. Using the Euclidan Algorithm (EA), so we have:

A = (C * B) + R, using our values:

26 = (2 * 9) + 8, look that the divisor (B) is 9 and the remainder (R) is 8.

Now using the (EA) we divide the divisor (B=9) by the obtained remainder (R=8). And we do the same for each obtained result until the las remainder (R) is equal to 0, like this:

A = (C * B) + R

9 = (8 * 1) + 1

using the divisor (B=8) and the remainder (R=1) we obtain:

A = (C * B) + R

8 = (1 * 8) + 0, look that the remainder is now 0, so in summary we can use the method as follows:

26 = (2 * 9) + 8

9 = (8 * 1) + 1

8 = (1 * 8) + 0; and this equations are the ones we are going to use in order to find a solution.

Next step is to use the equation before R=0, so:

9 = (8 * 1) + 1, which is:

9 - (8 * 1) = 1; but if you consider the first obtained equation: 26 = (2 * 9) + 8, we can write:

26 - (2 * 9) = 8, and we can use this expression in the previous one, so:

9 - (8 * 1) = 1, is:

9 - ((26 - (2 * 9)) * 1) = 1, simplifying:

9 - 26 + (2*9) = 1

9 - 26 + (9 + 9) = 1

-26 + (9 + 9 + 9) = 1

-26 + (3 * 9) = 1

26*(-1) + 9*(3) = 1; if you compare the last expression with the original equation, which is: 26x+9y=1, you can see the similarity, where x=-1 and y=3.

So, the solution is: x=-1 and y=3.

8 0
3 years ago
PLEASE HELP IS LINEAR INEQUALITIES !!
SashulF [63]

Answer:

THE ANSWER IS C

Step-by-step explanation:

BECAUSE BABABOOEEE

8 0
3 years ago
Heeeeeeeeeeeeeelp<br>Please help!​
Angelina_Jolie [31]

Answer:x=4

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
What is the distance between the points (-6,5) and (8,-2) on a coordinate plane?
Naddik [55]

Distance Formula: D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2

Apply the points: D=\sqrt{(8-(-6))^2+((-2)-5)^2

Solve: D=\sqrt{(8-(-6))^2+((-2)-5)^2}\\D=\sqrt{14^2+(-7)^2}\\D=\sqrt{169+49}\\D=\sqrt{218}

Since the square root of 218 cannot be simplified, the answer is

D=\sqrt{218}

⭐ Please consider brainliest! ⭐

✉️ If any further questions, inbox me! ✉️

7 0
2 years ago
How would I solve this?
lutik1710 [3]

Answer:

It is rotated by 72 degrees.

Step-by-step explanation:

  • Since it is a regular polygon,

        when u connect all the corners of it to the middle of the polygon, they       will meet at a point i.e, CENTER.

  • The sum of the angles subtended by all the sided at the center will be 360 degrees.
  • As there are 60 sides, the angle subtended by each side at the center will be 6 degrees.

Because,

\frac{360}{60} = 6

  • As the polygon rotates every minute and it is rotated for 12 minutes,

12*6 = 72

( For every minute, it will be rotated by 6 degrees.

so, for 12 minutes it should be rotated by 12 times 6 ( 12*6) = 72 degrees)

  • So, after 12 minutes it will be rotated by 72 degrees.
5 0
3 years ago
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