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Olenka [21]
3 years ago
6

URGENT Match each ratio of the volumes of two solids to the pair of solids it represents.

Mathematics
1 answer:
Anarel [89]3 years ago
4 0
1. cylinder to cone:
  (πr^2h)/((1/3)πr^2h) = 3:1

2. sphere to cylinder:
  ((4/3)πr^3)/(πr^2h) = 4r:3h

3. cone to sphere:
  ((1/3)πr^2h)/((4/3)πr^3) = h:4r

4. hemisphere to cylinder:
  half the ratio of sphere to cylinder = 2r:3h
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Christian has $6 in his wallet and wants to spend it on apples.The apples cost $1.25 per apple.How many apples can Christian buy
svlad2 [7]
So you can set this problem up like 6+ 1.25x because Christian has $6 in his wallet that is the total so we can leave it so far by itself without a variable. Now on the other hand, the apples Christian wants to buy is $1.25 per apple it is x because if it is more than 1 that is each so in math we represent it with a variable of just x . Hoped that helped :)
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4 years ago
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A bicycle store costs $2200 per month to operate. The store pays an average of $40 per bike. The average selling price of each b
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Answer:

Step-by-step explanation:

120n=2400+60n is break-even point

60n=2400

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2 years ago
Find the solutions of the given equation. <br><br> 25x^2+64=289
AleksAgata [21]

Answer:

D

Step-by-step explanation:

Start by subtracting 64 from both sides:

25x^2=225

Factor this by taking roots.  Divide both sides by 25 first:

x^2=9

We "undo" a square by taking the square roots of both sides.  Taking the square root leaves the possibilities of both the positive and negative roots of 9.  Therefore, the solutions to this are

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3 0
3 years ago
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Solve the quadratic equation by completing the square x^2-2ax+b=0​
luda_lava [24]

Let a, ß be the roots of x² + 2ax + b =0.......[1]

⇒a + ß = -2a and aß = b

By hypothesis

la-ß | ≤ 2m

⇒ (a-ß)² ≤ 4m²

⇒ (a+ß)²-4aß < 4m²

⇒ 4a²-4b ≤ 4m²

⇒a² - b ≤ m²......(2)

And discriminant of (1) is >0

⇒4a²-4b> 0

⇒ b <a²...... (3)

From (2) and (3)

a² > b≥ (a² - m²)

b = [a² - m², a²)

8 0
3 years ago
Aubrey and Charlie are driving to a city that is 120 mi from their house. They have already traveled 20 mi, and they are driving
Ad libitum [116K]

Answer:

1. The total distance will be equal to 20 miles plus the remaining distance which would be obtained when you multiply the speed to time t. The equation would be written as follows:

120 = 20 + 50t

2. The minimum time would be 0 hours. The maximum time is when the total distance of 120 is fully covered.

t ≤ (120 - 20)/50

t ≤ 2 hours

Thus, the domain would be 0 < t ≤ 2.

Step-by-step explanation:

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