1. Explain how you would model 5 x 2/32. When you multiply 2/3 by a fraction less than one, how does the product compare to the
1 answer:
We need find the value of "5 times 2/3" using model.
2/3 can be represented by a rectangle in which 2 out of 3 parts are colored.
When we find 5 times 2/3, then the total colored parts are 10
5 times 2/3 is the same that Add 2/3 five times, that is:
5 x 2/3 = 2/3 + 2/3 + 2/3 + 2/3 + 2/3
take into account that the sum of fractions with the same denominators is equal to the sum of the numerators, over the common denominator, as follow:
2/3 + 2/3 + 2/3 + 2/3 + 2/3 = 10/3
The model is shown below:
You can notice that each rectangle has 2 blue parts of the total three parts, that is, 2/3. And due to there are other five rectangles with 2/3 of blue parts, then, you have 5 times 2/3, or 5 x 2/3 = 10/3.
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Answer:
3<em>x </em>+ 2<em>y</em> = 34. and two possible pairs of positive numbers are (<em>x</em>, <em>y</em>) = (10, 2) and (<em>x</em>, <em>y</em>) = (4, 11).
Step-by-step explanation:
Let the First positive number be <em>x</em> and second positive number be <em>y.</em>
Triple of first number = 3<em>x</em>
double of second number = 2<em>y</em>
According to question,
3<em>x </em>+ 2<em>y</em> = 34
Therefore, the equation is 3<em>x </em>+ 2<em>y</em> = 34
So the two possible pair of numbers Diego would be thinking of must satisfy the equation 3<em>x </em>+ 2<em>y</em> = 34
Now, 3<em>x </em>+ 2<em>y</em> = 34
3<em>x </em>= 34 - 2<em>y</em>
Let x = 10 and by substituting its value in above expression,
Therefore first pair (<em>x</em>, <em>y</em>) = (10, 2)
In the same way put x = 4 then,
3<em>x </em>= 34 - 2<em>y</em>
Therefore first pair (<em>x</em>, <em>y</em>) = (4, 11)
Therefore, (<em>x</em>, <em>y</em>) = (4, 11) and (<em>x</em>, <em>y</em>) = (10, 2) are the two possible pairs of numbers Diego could be thinking of as these both values satisfy the equation 3<em>x </em>+ 2<em>y</em> = 34.