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4 years ago

What is 1/6+1/2 in its simplest form?

Mathematics

2 answers:

Salsk061 [2.6K]4 years ago

6 0

1/2. 1/6
1/2×3=3/6
3/6+1/6=4/6
4/6=2/3

2/3

myrzilka [38]4 years ago

6 0

You have to find the common denominator for the 2 fractions.
leave 1/6 the same and turn ½ into 3/6.
then you can add 1/6+3/6 and get 4/6
then divide the numerator and the denominator by 2 any get ⅔
so ⅔ is your answer
Hope I helped :)

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Lilit [14]

Attention:THIS IS PART B <em>ONLY!</em>

First,find the unit rate.

35/2 and <em>x</em>/1

35 divided by 2 = 17.5 so the unit rate for J.K. is 17.5 pages per hour.

now,R.L.

45/3 and <em>x</em>/1

45 divided by 3 = 15 so the unit rate for R.L. is 15 pages per hour

now we need to divide 355 by 17.5 and divide it by 15.Whichever quotient is smaller,finishes the book first

355 divided by 17.5 = about 20 hrs----J.K.

355 divided by 15 = about 24 hrs-----R.L.

So,who read faster?

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3 years ago

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AleksandrR [38]

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3 years ago

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pickupchik [31]

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3 years ago

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allochka39001 [22]

Part A

Converse = "If corresponding angles are equal, then two lines are parallel"
Result = True

Explanation:

Refer to the converse of the corresponding angles theorem. The original version is stated as part A, and the converse is marked in bold above.

Conditional statements are of the form "if this, then that". Symbolically we can use the template "If P, then Q". The P and Q are placeholders for logical statements.

The converse of "if P, then Q" is "If Q, then P". We swap the positions of P and Q. Do not negate either piece.

========================================================

Part B

Converse = "If angle C is 70 degrees, then the sum of angles A and B is 110 degrees"
Result = True

Explanation:

Recall that for any triangle, the three interior or inside angles always add to 180 degrees. In short: A+B+C = 180. If C = 70, then A+B = 180-C leads to A+B = 180-70 and A+B = 110. This process can be reversed.

========================================================

Part C

Converse = "If two lines are not parallel, then alternate interior angles k and s are not equal"
Result = True

Explanation:

For more information, check out the converse of the alternate interior angles theorem. The regular version of the theorem is "If two lines are parallel, then the alternate interior angles are congruent".

The converse of this theorem flips things to say: "If alternate interior angles are congruent, then the lines are parallel".

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Part D

Converse = "If John loses his money, then he throws coins in the fountain"
Result = False

Explanation:

Throwing coins in a fountain is one way to lose money, but there are other ways. He could drop a coin somewhere, or leave the coin somewhere he forgot.

In other words, just because he lost his money does not mean he threw a coin in the fountain.

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2 years ago

Thirty adults were asked how many pets they have had over their lifetime. the results are shown in the histogram below. a bar gr

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Using the concepts of the mean and of the median, it is found that the correct option is given by:

both in the interval 6–10.

<h3>What are the mean and the median of the data-set?</h3>

The mean is the <u>sum of all observations divided by the number of observations</u>.

The median is the measure that separates the bottom half of the variable from the upper half, that is, the 50th percentile.

To calculate the mean from the histogram, we take the midpoint of each interval and calculate the weighed mean, hence:

$M = \frac{14(3) + 9(8) + 5(13) + 2(18)}{30} = 7.17$

The median is in the interval in which the 30/2 = 15th measure is, which is also in the interval 6-10, as the interval 1-5 had 14 adults, and after interval 6-10, there are 23 adults.

Hence, the correct option is given by:

both in the interval 6–10.

More can be learned about the mean and the median of a data-set at brainly.com/question/24732674

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2 years ago