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CaHeK987 [17]
2 years ago
10

Kari has x green apples and y red apples. Which statement explains why x + y and y + x will each find the total number of apples

that Kari has?
Question 10 options:

In addition, the order of the variables matters in the expression.


In addition, the order of variables does not matter in the expression.


The first expression has a greater value than the second expression.


The expressions are not equivalent because there are two variables.
Mathematics
1 answer:
ehidna [41]2 years ago
3 0
X+y and y+x are the same as stated by the commutative law.
This is because let’s say x=2 and y=3,
2+3=5 and 3+2=5
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I need help on this problem in math
S_A_V [24]

Answer:

  • correct answer is C
  • Haley incorrectly applied the distributive property

Step-by-step explanation:

If you simplify the given equation, you find it matches choice C.

  \dfrac{1}{2}(6-x)+3x=\dfrac{1}{2}x-8\\\\3-\dfrac{1}{2}x+3x=\dfrac{1}{2}x-8\\\\3+\dfrac{5}{2}x=\dfrac{1}{2}x-8\qquad\text{matches choice C}

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Haley's error seems to be failing to distribute the 1/2 properly when she eliminated parentheses. Apparent, she incorrectly decided that ...

  1/2(6 -x)  ⇒  3 -x . . . . instead of 3 -1/2x

Then when -x was added to +3x, she got 2x. Had she done it properly, she would have added -1/2x to +3x to get 5/2x.

_____

<em>Additional comment</em>

It is a common error to "distribute" the factor outside parentheses to the first term only, as Haley apparently did. Another common error is to fail to distribute minus signs properly. The distributive property requires you apply the outside factor to <em>all</em> of the terms inside parentheses.

5 0
2 years ago
What fraction is equivalent to 36/60 and the sum of the numerator and denominator is 24
almond37 [142]

Answer:

The fraction is \frac{9}{15}

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\frac{36}{60} = \frac{x}{y}

Where x and y are the numerator and denominator of our new fraction respectively.

Also given is that x + y = 24

So  \frac{x}{y} = 36 ÷ 60 = 0.6

x = 0.6y

Substituting x in x + y = 24 gives;

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So our fraction is \frac{9}{15}

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Slav-nsk [51]

Answer:

$18.43

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19.61 decrease 6% =

19.61 × (1 - 6%) = 19.61 × (1 - 0.06) = 18.4334

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