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allsm [11]
2 years ago
10

Daniel puts some wheat flour into an empty bowl. Then he add 2/3 cup rye flour to make a total of 2 5/12 cups of flour. How much

wheat flour is in the bowl.
Mathematics
1 answer:
lozanna [386]2 years ago
6 0

Answer:

1 3/4 cups of wheat flour is in the bowl

Step-by-step explanation:

x + 2/3 = 2 5/12

First, convert the 2/3 to 12ths by multiplying numerator and denominator by 4 = 8/12

Then convert the 2 5/12 to an improper fraction 29/12

x + 8/12 = 29/12

subtract 8/12 from both sides

x = 21/12 = 1 9/12 = 1 3/4

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<h3>Answer: (-infinity, 7]</h3>

=====================================

Explanation:

The first interval (-infinity, 3) describes any number less than 3, so we can write x < 3 in short hand (where x is the unknown number).

The second interval (-1, 7] means we start at -1 and stop at 7. We do not include -1 but include 7. So we say that -1 < x \le 7 (ie x is between -1 and 7; exclude -1, include 7)

If you were to graph each ona number line, you would see that the too intervals have overlapping parts. The right most edge extends out as far as x = 7. There is no left most edge as it goes onforever that direction.

Therefore, the to intervals combine to get x \le 7 which turns into the interval notation answer of (-infinity, 7]

-----------

It might help to think of it like this: x < 3 and -1 < x \le 7 say "x is some number that is less than 3, or it is between -1 and 7". So x could be anything less than 7, including 7 itself.

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3 years ago
Simplify.
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618 hope this helps you have an amazing week

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