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arsen [322]
3 years ago
13

Which expression shows that the quotient

Mathematics
1 answer:
Harrizon [31]3 years ago
6 0

Answer:

Option (2)

Step-by-step explanation:

Given expression is \frac{2}{(3x-1)} ÷ \frac{6}{6x-1}

We further simplify this expression,

\frac{2}{(3x-1)} ÷ \frac{6}{6x-1}

= \frac{2}{(3x-1)}\times \frac{6x-1}{6}

= \frac{6x-1}{3(3x-1)}

= \frac{6x-1}{(9x-3)}

Therefore, \frac{6x-1}{(9x-3)} will be the quotient of the given expression.

x\neq \frac{1}{3} and x\neq \frac{1}{6} for which the given expression is not defined.

Option (2) will be the answer.

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Use inductive reasoning to find the next term in this sequence 2,3,5,9,17. Then explain the rule for the pattern.
NISA [10]

We have been given the sequence 2,3,5,9,17.

We can write the terms of this sequence as

2=2^0+1\\
3=2^1+1\\
5=2^2+1\\
9=2^3+1\\
17=2^4+1\\

From the above term we can see that for the first term we take exponent 0 on 2 and then add 1 .

For second term we take exponent 1 on 2 and then add 1 .

For third term we take exponent 2 on 2 and then add 1 .

Using this fact for the next term of the sequence i.e. 6th term, we can take exponent 5 on 2 and then add 1 .

Therefore, next term of the sequence is given by

2^5+1\\
=32+1\\
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Therefore, the next term is 33.

Using the above facts, the pattern is given by

a_n=2^{n-1}+1

7 0
3 years ago
The perimeter of the isoceles triangle is 54. The ratio of the leg to the base is 7:4. Find the length of the base
Norma-Jean [14]

9514 1404 393

Answer:

  12 units

Step-by-step explanation:

The ratio of the base to the other sides is ...

  4 : 7 : 7

The perimeter is a total of 4 +7 +7 = 18 ratio units, so each ratio units stands for 54/18 = 3 length units.

The base length is then ...

  (4 ratio units)(3 length units/ratio unit) = 12 length units

4 0
3 years ago
Martha Alison and Scott buy 3.8 pounds of clay Martha used 1 /4 of the clay for a sculpture Scott used 2/5 of the remaining amou
Sever21 [200]

They are left with 0.51 pounds of clay.

Step-by-step explanation:

Given,

Amount of clay bought = 3.8 pounds

Amount used by Martha = \frac{1}{4}\ of\ clay

Amount used by Martha = \frac{1}{4}*3.8=0.95\ pounds

Amount left after Martha's use= Total amount - amount used by Martha

Amount left = 3.8 - 0.95 = 2.85 pounds

Amount used by Scott = \frac{2}{5}\ of\ amount\ left

Amount used by Scott = \frac{2}{5}*2.85=\frac{5.70}{5}

Amount used by Scott = 1.14 pounds

Amount left after Scott's use = Amount left after Martha's - Amount used by Scott

Amount left after Scott's use = 2.85 - 1.14 = 1.71 pounds

Amount used by Alison = 1.2 pounds

Amount left = Amount left after Scott's use - Amount used by Alison

Amount left = 1.71 - 1.2 = 0.51 pounds

They are left with 0.51 pounds of clay.

Keywords: subtraction, fraction

Learn more about subtraction at:

  • brainly.com/question/1577690
  • brainly.com/question/1578028

#LearnwithBrainly

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An angle that mearsure between 90 and 180 is called a angle
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I think is called an obtuse angle

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