Answer:
3/4 gallons of juice
Step-by-step explanation:
Katie bought 2 one-gallon bottles for a party.
2 one-gallon bottles = 2-gallon bottles of juice
We are told that:
Her guest drank 5/4 gallons of juice.
The fraction of juice leftover is calculated as:
2 gallons of juice - 5/4 gallons of juice
2 - 5/4
Lowest Common Denominator = 4
2/1 - 5/4
= 8 - 5/4
= 3/4 gallons of juice
Therefore, the fraction of juice leftover is 3/4 gallons of juice
Answer:
Step-by-step explanation:
![Volume\:of\:cube:V=a^{3} \:(a\:is\:the\:length\:of\:each\:edge)\\\Leftrightarrow a=\sqrt[3]{V} \Leftrightarrow a=\sqrt[3]{729} =9](https://tex.z-dn.net/?f=Volume%5C%3Aof%5C%3Acube%3AV%3Da%5E%7B3%7D%20%5C%3A%28a%5C%3Ais%5C%3Athe%5C%3Alength%5C%3Aof%5C%3Aeach%5C%3Aedge%29%5C%5C%5CLeftrightarrow%20a%3D%5Csqrt%5B3%5D%7BV%7D%20%5CLeftrightarrow%20a%3D%5Csqrt%5B3%5D%7B729%7D%20%3D9)
The complete proof for the given parallelogram is given in the image attached below.
<h3>What is a Parallelogram?</h3>
A parallelogram is a quadrilateral whose opposite sides are parallel and also congruent to each other.
The complete proof would be as shown below:
1. ABCD is a parallelogram [given]
2. AB║CD [Definition of parallelogram]
3. ∠1 ≅ ∠2, ∠3 ≅ ∠4 [alternate interior angles theorem]
4. AB ≅ CD [Definition of parallelogram]
5. ΔABE ≅ ΔCDE [ASA]
6. AE ≅ CE, BE ≅ DE [CPCTC]
7. AC and BD bisects each other at E [definition of segment bisector]
Learn more about parallelogram on:
brainly.com/question/3050890
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The cheetah runs 2 meters/sec faster than the gazelle. Eventually the cheetah will overcome the gazelle. Since distance = rate times time, time = distance/rate.
Thus,
300 meters / (2 meters/sec) = 150 sec = 2 min 30 sec
Well, you can only combine the numbers with the variable (the x) in front of them, since there’s no other number on the left side of the equation to combine that lone number with
(example: 3x+2+5x; you can only add 3x and 5x together since 2 has no x).
So 3x and -2/9x would be your answer.
