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e-lub [12.9K]
3 years ago
14

Lindsay prepared 9 containers of fruit punch for a party. After the party, there were still 4 4/9 containers of fruit punch left

. How many containers were consumed in the party?
Mathematics
1 answer:
umka2103 [35]3 years ago
6 0

Turn 9 into \frac{81}{9}. Then, convert 4 \frac{4}{9} into a improper faction ( \frac{40}{9} ). Then, subtract

\frac{81}{9} - \frac{40}{9} = \frac{41}{9}. Lastly, convert  \frac{41}{9} to a mixed fraction ( 4\frac{4}{9} ).

Your answer is 4\frac{4}{9}.

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enot [183]

Given: m ∠3 = m ∠4

To Prove: ∠1, ∠2 are supplementary .

Proof : m ∠3 = m ∠4    ( Given)                                              ------------(1)

m<2 + m< 3 = 180 degrees  ( <2 and <3 form a linear pair). ----------(2)

m< 4 = m<1                            (Vertical angles are equal)       -----------(3).

Substituting, m<4 =m<1 in (1), we get

m ∠3 = m ∠1.

Now, substituting m ∠3 = m ∠1 in (2), we get

m<2 + m< 1 = 180 degrees.

Sum of m <1 and m<2 is 180 degrees.

Therefore,<em> ∠1, ∠2 are supplementary by the defination of supplementary angles.</em>


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3 years ago
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Consider this function.
charle [14.2K]

Answer:

3. Since the range of the original function is limited to y> 6, the domain of the inverse function is x ≥ 6.

Step-by-step explanation:

The domain of a function is the range of its inverse, and vice versa. The only answer choice that expresses this relationship is choice 3.

__

Comment on the answer choice:

The slope of the function is undefined at x=4, so restricting the function domain to the portion with positive slope means the domain restriction of the function is x > 4. That also means the range restriction of the function is y > 6. The domain restriction of the inverse function is the same: x > 6, not x ≥ 6. The answer choice has an error.

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4 0
3 years ago
Given<br> f(x) = -4(x+5),<br> what is the value of<br> f(-3)?<br> 
sp2606 [1]

Answer:

f(-3)=-8

Step-by-step explanation:

plug -3 in as x

-4(-3+5)

12-20

-8

4 0
3 years ago
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