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Mnenie [13.5K]
3 years ago
5

What are the smallest and largest possible numbers in base 3?

Mathematics
1 answer:
adelina 88 [10]3 years ago
3 0

Our number system is in base 10.  The ones place holds digits 0 - 9.  When you reach 10, you must add another place value (the tens place).

Base 3 is digits 0-2 becasue when you reach 3, you need to add another place value.

Therefore, the smallest number is 0 and the largest number is 2.

Answer: smallest = 0, largest = 2

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7n+2 = 4n+17 solve the equation
lions [1.4K]

Answer:

n = -5

Step-by-step explanation:

Solve for n:

n + 2 = 4 n + 17

Hint: | Move terms with n to the left hand side.

Subtract 4 n from both sides:

(n - 4 n) + 2 = (4 n - 4 n) + 17

Hint: | Combine like terms in n - 4 n.

n - 4 n = -3 n:

-3 n + 2 = (4 n - 4 n) + 17

Hint: | Look for the difference of two identical terms.

4 n - 4 n = 0:

2 - 3 n = 17

Hint: | Isolate terms with n to the left hand side.

Subtract 2 from both sides:

(2 - 2) - 3 n = 17 - 2

Hint: | Look for the difference of two identical terms.

2 - 2 = 0:

-3 n = 17 - 2

Hint: | Evaluate 17 - 2.

17 - 2 = 15:

-3 n = 15

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of -3 n = 15 by -3:

(-3 n)/(-3) = 15/(-3)

Hint: | Any nonzero number divided by itself is one.

(-3)/(-3) = 1:

n = 15/(-3)

Hint: | Reduce 15/(-3) to lowest terms. Start by finding the GCD of 15 and -3.

The gcd of 15 and -3 is 3, so 15/(-3) = (3×5)/(3 (-1)) = 3/3×5/(-1) = 5/(-1):

n = 5/(-1)

Hint: | Simplify the sign of 5/(-1).

Multiply numerator and denominator of 5/(-1) by -1:

Answer: n = -5

5 0
2 years ago
Two figures are shown. EFJL is dialation of ABIK AB has a length of 12 and EF has a length of 3
Dimas [21]

The scale factor of dilation from AB to EF is 0.25

<h3>How to determine the scale factor of dilation?</h3>

The given parameters are:

  • EFJL is dilation of ABIK
  • AB has a length of 12
  • EF has a length of 3

From the above parameters, side lengths AB and EF are corresponding sides

This means that:

The scale factor of dilation (k) is

k = AB/EF

So, we have

k = 3/12

Evaluate

k = 0.25

Hence, the scale factor of dilation from AB to EF is 0.25

Read more about scale factors at:

brainly.com/question/15891755

#SPJ1

4 0
2 years ago
Find the area of a regular hexagon with the measurement 4- inch side
olga2289 [7]
The answer is 24 root 3 or 41.56921938.
6 0
3 years ago
What is the equivalent of <br>2/3x -9 - 2x + 2 = 1 after combining like terms?​
elena-s [515]

Answer:

5

Step-by-step explanation:

5 0
3 years ago
-11 2/3 * (-4 1/5) = ?<br> Will try to mark brainliest please hurry
Trava [24]
Answer is 49
Pls mark me brainliest
6 0
3 years ago
Read 2 more answers
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