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Thread: Davied has less than one-half the number of balloons that kaite has .

  1. #1

    Davied has less than one-half the number of balloons that kaite has .

    1. Davied has less than one-half the number of balloons that kaite has . If David has d balloons and kite has K balloons has ,which of the following equations correctly express the relationships between d and k.
    a. d= 1/2 (k+4)
    b. d= 1/2 (k-4)
    c. d= 1/2 k+4
    d.d= 1/2 k-4
    e. d=2 k-4
    Last edited by stapel; 01-31-2018 at 04:31 PM. Reason: Reinserting original post text.

  2. #2
    Elite Member
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    Quote Originally Posted by mariam90 View Post
    1. Davied has less than one-half the number of balloons that kaite has . If David has d balloons and kite has K balloons has ,which of the following equations correctly express the relationships between d and k.
    a. d= 1/2 (k+4)
    b. d= 1/2 (k-4)
    c. d= 1/2 k+4
    d.d= 1/2 k-4
    e. d=2 k-4
    What are your thoughts?

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  3. #3
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    Quote Originally Posted by mariam90 View Post
    1. Davied has less than one-half the number of balloons that kaite has . If David has d balloons and kite has K balloons has ,which of the following equations correctly express the relationships between d and k.
    a. d= 1/2 (k+4)
    b. d= 1/2 (k-4)
    c. d= 1/2 k+4
    d.d= 1/2 k-4
    e. d=2 k-4
    I think you have copied the question incorrectly. Clearly you misspelled the names (so that each is spelled in two different ways); also you omitted a number, since as stated this would be an inequality ("__ is less than __"), not an equation ("__ is 4 less than __"). Copying incorrectly can make it impossible to solve a problem.

    I think the correct question is this:

    1. David has 4 less than one-half the number of balloons that Kate has . If David has d balloons and Kate has k balloons, which of the following equations correctly expresses the relationship between d and k?
    a. d= 1/2 (k + 4)
    b. d= 1/2 (k - 4)
    c. d= 1/2 k + 4
    d. d= 1/2 k - 4
    e. d= 2k - 4

    Is that correct?

    Now, what do you think the answer might be, and why? By showing your thoughts, you give us a chance to identify where you are having trouble, and help you better. We don't just give answers.

  4. #4
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    Quote Originally Posted by Denis View Post
    For clarity, problem could be presented this way:

    If d < k/2, which of the following equations correctly
    express the relationships between d and k?
    1: d = (1/2) * (k+4)
    2: d = (1/2) * (k-4)
    3: d = (1/2)*k + 4
    4: d = (1/2)*k - 4
    5: d = 2*k - 4

    Unless I goofed up, 2 of the equations are applicable.
    If I'm wrong about a 4 having been dropped from the question, then it is still worded incorrectly. None of the equations "correctly express the relationships"; two of them are possible relationships (that is, are compatible with the inequality), but we can't say that any of them are necessarily correct.

  5. #5

    mariam90

    sorry or replying late i have problem with internet connection i there any formula for solving this question i am confused between "a " and "d" .

  6. #6
    Quote Originally Posted by Denis View Post
    After a couple coffees, I fully agree with "4" having been dropped
    the way you describe it.
    Results in d = k/2 - 4
    Then only one of the 5 choices is correct.
    Thanks Dr.P.


    Denis can you explain it to me I am confused between b and d.

  7. #7
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    Quote Originally Posted by mariam90 View Post
    sorry or replying late i have problem with internet connection i there any formula for solving this question i am confused between "a " and "d" .
    Can you confirm my guess that it really said this?

    David has 4 less than one-half the number of balloons that Kate has . If David has d balloons and Kate has k balloons, which of the following equations correctly expresses the relationship between d and k?

    Denis pointed out the difference in the symbols; to match that with the English, you need to look at how the words link together. You have:

    David has 4 less than one-half the number of balloons that Kate has

    That is,

    d is 4 less than one-half of k

    There is a subtraction (4 less) and a multiplication (1/2 of). Which should be done first?

    Suppose you start with k. What will you do to find the value of d?

  8. #8
    Quote Originally Posted by Dr.Peterson View Post
    Can you confirm my guess that it really said this?
    yes
    Last edited by mmm4444bot; 01-31-2018 at 09:18 PM. Reason: inserted quote-closing tag

  9. #9
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    So, are you satisfied with the answer?

    If not, please tell us your own thinking about it, so we can see whether you still need help with it.

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