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NISA [10]
3 years ago
11

The larger of two numbers is 10 more than the smaller number. Also, five times the larger number

Mathematics
1 answer:
erastova [34]3 years ago
8 0

Answer:

<h3>            10 and 20</h3>

Step-by-step explanation:

x    - the smaller number

x 10  - the larger number

5(x+10)   - five times the larger number

6x     - 6 times the smaller number

6x+40     - 40 more than 6 times the smaller number

6x + 40 = 5(x + 10)

6x + 40 = 5x + 50

      -40        -40

  6x  =  5x + 10

 -5x         -5x

   x = 10

x+10 = 10 + 10 = 20  

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4 years ago
Simplify expression x8y-26/x14y-5 × x-39y-21
koban [17]

The simplified form of the expression is x^{-45} y^{-42}

<h3>Simplifying an expression</h3>

From the question, we are to simplify the given expression

The given expression is

\frac{x^{8}y^{-26}  }{x^{14}y^{-5}  } \times x^{-39} y^{-21}

The expression can be simplified as shown below

\frac{x^{8}y^{-26}  }{x^{14}y^{-5}  } \times x^{-39} y^{-21}

\frac{x^{8} \times x^{-39} \times  y^{-26} \times  y^{-21}  }{x^{14} \times y^{-5}  }

\frac{x^{8+-39} \times  y^{-26+-21}  }{x^{14} \times y^{-5}  }

\frac{x^{8-39} \times  y^{-26-21}  }{x^{14} \times y^{-5}  }

\frac{x^{-31} \times  y^{-47}  }{x^{14} \times y^{-5}  }

Then,

\frac{x^{-31} }{x^{14} } \times \frac{ y^{-47} }{ y^{-5} }

x^{-31-14} \times y^{-47--5}

x^{-31-14} \times y^{-47+5}

x^{-45} \times y^{-42}

x^{-45} y^{-42}

Hence, the simplified form of the expression is x^{-45} y^{-42}

Learn more on Simplifying an expression here: brainly.com/question/2320607

#SPJ1

3 0
2 years ago
The number of stories in each of a sample of the world’s 28 tallest buildings follows. Construct a grouped frequency distributio
Masja [62]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

54 79 100 70 75 56 88

55 78 75 55 72 60 80

55 88 80 85 69 71 60

90 64 77 88 65 102 70

Class____frequency____cumulative frequency

54 - 63_____7_____________7

64 - 73_____7_____________14

74 - 83_____7_____________21

84 - 93_____5_____________26

94 - 103____2_____________28

5 0
3 years ago
Morgan begins biking south to the park at 20mph at noon. Corona leaves from the same point 15 min (.25hr) later to catch her. Ho
garri49 [273]

Answer:

X = 1h15mins

Step-by-step explanation:

      Rate Time  Distance  

Morgan  20    X              20X

Corona  25  X – ¼  25(X – ¼)  

If they meet each other, they need to travle the same distance, mean :  

20X = 25(X – ¼)  

X = 1.25  

1 hour and 15 minutes  

6 0
4 years ago
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