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Marat540 [252]
3 years ago
15

Janice wears uniform number 6 .Lily's uniform number is 4 times as great as Janice's. Addison's uniform number is 20 more than J

anice's uniform number.
Mathematics
2 answers:
marta [7]3 years ago
5 0
.... The answer is the first sentence of the question? XD 6.
Paul [167]3 years ago
5 0
Lily=24 Addison=120 Lily=6
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What does it mean to determine the two positive integers that each value is between??? I'm confused ​
KIM [24]

Answer:

  11. {7, 8}

  12. {8, 9}

  13. {8, 9}

  14. {4, 5}

Step-by-step explanation:

You want consecutive integers that bracket each of the given irrational roots.

<h3>Square roots</h3>

A square root of an integer will be rational only if the integer is a perfect square. The first few perfect squares are ...

  • 1² = 1
  • 2² = 4
  • 3² = 9
  • 4² = 16
  • 5² = 25
  • 6² = 36
  • 7² = 49
  • 8² = 64
  • 9² = 81

You know these because you know your multiplication tables.

The square root of a number between these perfect squares will lie between the roots of the squares.

<h3>11. √50</h3>

50 lies between the squares 49 = 7² and 64 = 8². That means √50 lies between 7 and 8.

Your calculator tells you that √50 ≈ 7.0710678, which is a number that lies between the integers 7 and 8.

<h3>12. √72</h3>

72 lies between the squares 64 = 8² and 81 = 9². That means √72 lies between 8 and 9.

<h3>13. √65</h3>

65 lies between the squares 64 = 8² and 91 = 9². That means √65 lies between 8 and 9.

<h3>14. √23</h3>

23 lies between the squares 16 = 4² and 25 = 5². That means √23 lies between 4 and 5.

__

<em>Additional comment</em>

The purpose of questions like this appears to be to have you make use of your knowledge of integer perfect squares to guess an approximation of a square root.

A calculator can answer these questions immediately. Of course the two consecutive integers are the integer part of the root, and the next higher integer.

The question is not well-posed. The answer to "integers each value is between" could be 1 < √50 < 50. For integers greater than 1, the square root is always smaller than the integer being rooted. We've seen questions like this enough times that we can guess the intention is for you to identify <em>consecutive</em> integers.

<em>Extra credit</em>

Knowing the integer part of the root and the difference between the number and its next lower perfect square, you can approximate the root as follows:

For integer n = a² +b, the root √n lies between a +b/(2a+1) and a +b/(2a).

For example, 65 = 8²+1, so √65 lies between 8 1/17 and 8 1/16.

7 0
1 year ago
Solve for xx/8-1/2=6
Vesna [10]

<span>x=52</span>


<span><span>x8</span>−<span>12</span>=6</span>

<span><span><span>2x−8</span>16</span>=6</span>
<span>2x−8=6⋅16</span>

<span>2x=96+8</span>

<span>2x=104</span>

<span>x=<span>52</span></span>

5 0
3 years ago
Yellow Cab Taxi charges a $1.95 flat rate in addition to $0.60 per mile. Katie has no more than $10 to spend on a ride. How many
mestny [16]
Easy :).

Remove the flat rate to see how much money she has to spend: 10 - 1.95 = 8.15.

We have 8.15 (remaining money) / 0.60 (per mile) = 13 miles (or <span>13.5833333333 [copy pasted from a calculator moderators] but I assume you want a rounded version)</span>
5 0
3 years ago
Jaya forgets how to write numbers in expanded form. Explain the steps to her using the number 13.652 as an example, and then wri
Amanda [17]
In the expanded form the digits of the number are split into each of the individual digits with their place value and written in expanded form. The example of standard form of a number is 4,982 and the same number can be written in expanded form as 4 × 1000 + 9 × 100 + 8 × 10 + 2 × 1 = 4000 + 900 + 80 + 2.
7 0
3 years ago
Read 2 more answers
How to write ten and twenty-four hundredths
DENIUS [597]

The answer to this is 10.24

8 0
3 years ago
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