The expression x2y - 2xy - 24y can be factored by first factoring out a common factor of y. After the common factor is removed,
1 answer:
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Answer:
Volume of the gigantic fridge is 2.5 times the volume of regular fridge.
Step-by-step explanation:
This question is incomplete; here is the complete question.
Katie is buying a refrigerator for her apartment. She's choosing between a regular fridge and a gigantic fridge (details are shown in the table below). She notices that the gigantic fridge costs 3 times as much as the regular fridge.
How many times as great is the volume of the gigantic fridge as the volume of the regular fridge?
Area of the base, Height, Price
Regular Fridge: 1m² / 2m / $200
Large Fridge: 2m² / m / $600
In this question cost of the large fridge is 3 times as much as the regular fridge.
Area of the base of regular fridge = 1m²
Height of the regular fridge = 2m
So volume of this fridge = 1×2 = 2m³
Area of the base of the large fridge = 2m²
Height of the large fridge = m
Volume of the large fridge = = 5m³
Ratio of the volumes of the large and regular fridge =
Therefore, volume of the gigantic fridge is 2.5 times the volume of regular fridge.
Answer:
The value of p at q = 5 is 406.25
Step-by-step explanation:
∵ p varies directly as the cube of q
→ That means p ∝ q³
∴ The equation of variation is p = kq³, where k is the constant of variation
∵ p = 26 when q = 2
→ Use them to find the value of k
∵ 26 = k(2)³
∴ 26 = k(8)
∴ 26 = 8k
→ Divide both sides by 8
∴
∴ 3.25 = k
→ Substitute it in the equation of variation
∴ p = 3.25 q³ ⇒ equation of variation
∵ q = 5
→ Substitute it in the equation of variation to find p
∴ p = 3.25 (5)³
∴ p = 406.25
∴ The value of p at q = 5 is 406.25