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Yuliya22 [10]
3 years ago
14

The first 32 whole numbers are evenly spaced around the circumference of a circle. Which number will be opposite of 26?

Mathematics
1 answer:
Ludmilka [50]3 years ago
6 0

Answer:

"10"

Step-by-step explanation:

This is rather thinking "pictorially". Picture it.

You can match it with a round clock that has numbers 1 - 12 written on it.

So,

32 and 16 would be opposite of each other [top and bottom]. And, 1 - 15 would be on right side and 17 - 31 would be on left side.

Now,

Going counter-clockwise from 32, 26 would be the 6th number. Going counter-clockwise from 16, 10 would be the 6th number.

Hence, they would be opposite of each other.

10 would be opposite of 26

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Please help, i'm horrible @ math :)
katovenus [111]
   
\displaystyle\\
1 \frac{2}{5} +\Big(-5 \frac{1}{2} \Big) = ? \\  \\ 
1 \frac{2}{5} = \frac{1\times 5+2}{5}=\boxed{\frac{7}{5}} \\  \\ 
-5 \frac{1}{2} =-5 -\frac{1}{2} = \frac{-5\times2-1}{2} =\frac{-10-1}{2}=\frac{-11}{2}= \boxed{-\frac{11}{2} }\\  \\ \texttt{OR} \\  \\ 
-5 \frac{1}{2} = -\Big(5 \frac{1}{2} \Big)= -\Big( \frac{5\times2+1}{2} \Big)=-\Big( \frac{11}{2} \Big)= \boxed{-\frac{11}{2} }


\displaystyle\\
\Longrightarrow ~~1 \frac{2}{5} +\Big(-5 \frac{1}{2} \Big) =\frac{7}{5} -\frac{11}{2} = \frac{7\times 2}{5\times 2} -\frac{11\times 5}{2\times 5} = \\  \\ 
= \frac{14}{10} -\frac{55}{10} = \frac{14-55}{10} =\frac{-41}{10} = -\frac{41}{10}=-\frac{40+1}{10}=\boxed{\boxed{-4\frac{1}{10}}}



7 0
3 years ago
What is the product? Enter your answer as a fraction, in simplified form, in the box. −1/4⋅(−6/11)
ivann1987 [24]

Answer:

3/22

Step-by-step explanation:

-1/4 . (-6/11)

  • You have to multiply the signs: As both are negative, the result will be positive.
  • You have to multiply the numbers in the top part (numerators) and the numbers in the bottom part (denominators)

1 . 6 / 4 . 11 = 6/44

  • Finally, you must simplify the answer by dividing both numbers among the same divisor, in this case the number is 2

6÷2 / 44÷2 = 3/22

4 0
3 years ago
Which operation can be used with the augmented matrix below?
ycow [4]

Answer:

Multiply row 2 by-1 and add it to row 3.

Step-by-step explanation:

The given augmented matrix is \left[\begin{array}{ccc}3&-21&15\\15&8&15\\-2&-1&3\end{array}\right]

The permissible row operations are:

1. Switching rows

2. Multiplying a row by a nonzero constant.

3. Adding/Subtracting two rows

 Therefore the correct option is: Multiply row 2 by-1 and add it to row 3.

5 0
3 years ago
Find the median of the data
kicyunya [14]
The median is the middle number of the data plot. Since there 30 numbers, there isn't a exact middle. To find the median you must add the two middle number then divide by 2. 
In this case you must add 87 and 88 which gives 175.
Then divide 175 by 2 which gives 87.5
87.5 is the median
5 0
3 years ago
Find the slope of the line that contains (2, 6) and (5, 7).
MrRissso [65]

Answer:

1/3

Step-by-step explanation:

The slope is equivalent to:

(y₂-y₁)/(x₂-x₁)

Now we plug in the coordinates into the equation:

(7-6)/(5-2)=1/3

​

6 0
3 years ago
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