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maksim [4K]
3 years ago
11

What is the highest common factor of 27 and 36?

Mathematics
1 answer:
snow_lady [41]3 years ago
3 0
Hello there!

The highest common factor, also known as the greatest common factor, or GCF, is the biggest factor that both numbers have in common.

Let's factor out our numbers.

27;
1 x 27
3 x 9

36;
1 x 36
3 x 12
4 x 9
6 x 6

Both of these numbers have these in common:
1, 3, 9.

Since 9 is the highest number in common, it is our GCF or highest common factor.

I hope this helps!
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lord [1]

Answer:

  • The 27th term is 22

Step-by-step explanation:

Let the first term is a and common difference is d.

<u>The nth term is:</u>

  • aₙ = a + (n - 1)d

<u>We have:</u>

  • a₆ = 15
  • a₉ = 16

<u>The difference of these terms is:</u>

  • (a + 8d) - (a + 5d) = 16 - 15
  • 3d = 1
  • d = 1/3

<u>Then the first term is:</u>

  • a + 5*1/3 = 15
  • a = 15 - 5/3 = 13 1/3

<u>The nth term equation is:</u>

  • aₙ = 13 1/3 + 1/3(n - 1) = 1/3n + 13

<u>If the nth term is 22, find n:</u>

  • 1/3n + 13 = 22
  • 1/3n = 22 - 13
  • 1/3n = 9
  • n = 9*3
  • n = 27
7 0
2 years ago
9x-8(x-6)=52 what is the answer
Effectus [21]

Answer:

x = 4

Step-by-step explanation:

Step 1: Write equation

9x - 8(x - 6) = 52

Step 2: Solve for <em>x</em>

  1. Distribute -8: 9x - 8x + 48 = 52
  2. Combine like terms: x + 48 = 52
  3. Subtract 48 on both sides: x = 4

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

9(4) - 8(4 - 6) = 52

36 - 8(-2) = 52

36 + 16 = 52

52 = 52

7 0
3 years ago
What is the equation, in point-slope form, for a line that goes through (8,- 4) and has a slope of -5/6
Norma-Jean [14]

Answer:

y + 4 = -\frac{5}{6}(x - 8)

Step-by-step explanation:

In the Point-Slope Formula, y - y_1 = m(x - x_1),all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS.

I am joyous to assist you anytime.

5 0
2 years ago
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