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malfutka [58]
3 years ago
9

Q is the midpoint of PR. PQ equals 6X -7 and QR equals 5X plus one. Final length of PR.

Mathematics
1 answer:
Elina [12.6K]3 years ago
7 0

Answer:

PR = 82

Step-by-step explanation:

Since Q is the midpoint of PR, then

PQ = QR, that is

6x - 7 = 5x + 1 ( subtract 5x from both sides )

x - 7 = 1 ( add 7 to both sides )

x = 8

Thus

PR = PQ + QR = 6x - 7 + 5x + 1 = 11x - 6

Hence

PR = 11(8) - 6 = 88 - 6 = 82

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The sum of a number and 3 divided by 9
polet [3.4K]

Answer:

\frac{(x+3)}{9}

Step-by-step explanation:

6 0
3 years ago
Change 0.275 to a fraction
goldenfox [79]
<span>Well, the number is decimal form, is in the thousandths place, so the denominator, would be 1000's: 
<em><u>0.275 = 275⁄1000</u></em></span><em><u> </u></em>
<span>Then, you have to Simplify 275⁄1000 In which, you would get: <em><u> 11⁄40</u></em></span><span><em><u> </u></em></span>
8 0
3 years ago
Read 2 more answers
Simplify 6 - 3(4 - 3x)<br> -3x - 6<br> 9x + 18<br> 9x - 6
svet-max [94.6K]

Answer:

6 (19 x - 2)

Step-by-step explanation:

Simplify the following:

6 - 3 (4 - 3 x) - 3 x - 6×9 x + 18×9 x - 6

-6×9 = -54:

6 - 3 (4 - 3 x) - 3 x + -54 x + 18×9 x - 6

18×9 = 162:

6 - 3 (4 - 3 x) - 3 x - 54 x + 162 x - 6

Grouping like terms, 6 - 3 (4 - 3 x) - 3 x - 54 x + 162 x - 6 = (-3 x - 54 x + 162 x) - 3 (4 - 3 x) + (6 - 6):

(-3 x - 54 x + 162 x) - 3 (4 - 3 x) + (6 - 6)

-3 x - 54 x + 162 x = 105 x:

105 x - 3 (4 - 3 x) + (6 - 6)

6 - 6 = 0:

105 x - 3 (4 - 3 x)

-3 (4 - 3 x) = 9 x - 12:

9 x - 12 + 105 x

Grouping like terms, 105 x + 9 x - 12 = (105 x + 9 x) - 12:

(105 x + 9 x) - 12

105 x + 9 x = 114 x:

114 x - 12

Factor 6 out of 114 x - 12:

Answer: 6 (19 x - 2)

7 0
3 years ago
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Answer:

48 divided by 16

Step-by-step explanation:

16 oz=1 lb

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5 0
3 years ago
Use the box plot to answer the questions. What is the range of Charles’s scores? What is the median of Charles’s scores? What is
vekshin1

Box-plot describes 5 important data of the observations. We get following values for range, median and IQR as:

  • The range of Charles' scores is 20
  • The median of Charles' scores is 90
  • The IQR of Charles' scores is 8

<h3>How does a boxplot shows the  data points?</h3>

A box plot has 5 data description.

  • The leftmost whisker shows the minimum value in the data.
  • The rightmost whisker shows the maximum value in the data.
  • The leftmost line in the box shows the first quartile.
  • The middle line shows the median, also called second quartile.
  • The last line of the box shows the third quartile.

<h3>How to find the interquartile range?</h3>

IQR(inter quartile range)  is the dfference between third and first quartile. (Its the horizontal length of the box)

<h3>What is the range of a data set?</h3>

Range = Maximum value of the data set - Minimum value of the dataset

The missing box plot is attached below for the given problem.

From the given data, we see that, the left and right whiskers are on  80 and 100 respectively.

The left and right limit of the box are on 85 and 93 respectively.

The middle line lies on 90.

Thus, we get:

  • Minimum score = left whisker = 80
  • Maximum score = right whisker = 100
  • First quartile = left limit of box = 85
  • Third quartile = right limit of box = 93
  • Second quartile = median = middle line's position in the box = 90

Thus, we get:

  • Range of Charles' score = Max - min value = 100 = 80 = 20
  • Median of Charles' score =  90
  • IQR = third quartile - first quartile = 93 - 85 = 8

Learn more about box plot here:

brainly.com/question/1523909

8 0
2 years ago
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