A rational number refers to any number that can be written as a fraction, such as 2, -3, 2/3, etc.
Essentially, any non-repeating number found between 31.5 and 31.6 would suffice.
Examples include: 31.51, 31.52, 31.568, 31.599
I suggest 31.55 since it’s straightforward and can be expressed as the fraction: 361/20
The equation given is –2x – 4 + 5x = 8, and the task is to find the value of x. To start, combine like terms and reorganize the equation:
-2x + 5x = 8 + 4
Next, simplify both sides:
3x = 12
Divide both sides by 3 to isolate x:
x = 4.
Therefore, the solution for x is 4.
I think the right answer is D. 8x+8;
This is because Frank possesses X stamps while Chris has 8 plus 7 times the number of stamps Frank holds, making the total 8 + 7x (which is 7 times Frank's amount), so when you add Frank's stamps (x) to 8 + 7x, it results in 8 + 8x.
I hope this was helpful!
Aubrey's dinner totaled $85. For excellent service, she tips the waitstaff 30%. The tip amount is $25.5. To calculate the tip, we start with the total cost of the dinner, which is $85, and apply the 30% tip rate. So, 30% of $85 is calculated as: Tip = 30% of 85. This results in Aubrey tipping the waitstaff $25.5.
Answer:
Wyjaśnienie krok po kroku:
Załóżmy, że prostokąt ma wierzchołki (x,y,z) w dodatnim oktancie. Prostokątny pudełko musi być symetryczne względem wszystkich trzech osi.
Wtedy jego boki to

Objętość = 
Maksymalizuj objętość przy założeniu

tj. 
Użyj mnożników Lagrange'a, mamy
przy maksimum


Dzieląc otrzymujemy

Podobnie 
Zatem otrzymujemy 
Stąd wymiary to
(2x,2y,2z)
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