Answer:
At the end of the party <u>5.5 gallons or 88 cups</u> of punch will be leftover.
Step-by-step explanation:
Given:
There are 20 guest at a party.
Now, to find the quantity of punch that will be leftover.
Number of guests = 20.
Total gallons of punch = 8.
Now, using conversion factor we change gallons into cups:
1 gallon = 16 cup.
So, 8 gallons = 16 × 8 = 128 cups.
<u><em>Thus, total cups of punch = 128.</em></u>
Total number of cups each guest will drink = 2.
Now, to get total number of cups the 20 guests will drink by multiplying:


<u><em>Total number of cups the 20 guests will drink = 40.</em></u>
So, to get the leftover punch we subtract the total number of cups the 20 guests will drink from total cups of punch:

So, 88 cups = 
Therefore, at the end of the party 5.5 gallons or 88 cups of punch will be leftover.
Answer:
x=-13
Step-by-step explanation:
-104 divided by 8 to isolate x
Answer:
14
Step-by-step explanation:
It says 'Evaluate (y - 9) + (3 + x), when y = 15 and x = 5'.
So we'd put 15 in y's place. It'll look like this (15 - 9).
Then we'd put 5 in x's place. It'll look like this (3 + 5).
You subtract (15 - 9) which equals 6. And you'd add (3 +5) which equals 8. You add 6 + 8 together since those are your answer for the parentheses. Your final should be 14. Hopefully this helped!
Answer:
- -3/13 ≈ -1/4
- -6/11 ≈ -1/2
- -7/9 ≈ -3/4
Step-by-step explanation:
We'll drop all the minus signs, since they don't contribute anything but distraction.
When numerators or denominators are relatively large, changing their value by 1 unit will have a relatively small effect on the value of the fraction. For example, ...
3/13 ≈ 3/12 = 1/4
If we compare the decimal values of these fractions, we see that ...
3/13 ≈ 0.230769... (6-digit repeating decimal)
The closest of the offered "reasonable estimate" fractions is 1/4 = 0.25.
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Likewise, 6/11 ≈ 6/12 = 1/2. In decimal, these fractions are ...
6/11 = 0.54... (2-digit repeat)
1/2 = 0.5
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We can also increase or decrease both numerator and denominator by the same amount to get a fraction with nearly the same value. This works best when the numbers are larger.
7/9 ≈ 6/8 = 3/4 . . . . . . both numerator and denominator decreased by 1
In decimal, these are ...
7/9 = 0.7... (1-digit repeat)
3/4 = 0.75