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kumpel [21]
3 years ago
7

find the radius of the sphere with a volume of 32/81 π cubic yards. Write your answer as a fraction in simplest form.​

Mathematics
1 answer:
Kitty [74]3 years ago
3 0

Answer:

Step-by-step explanation:

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Ponco charges phone users $1.25 for the first minute and $0.30 for each additional minute.Cowbell charges users $1.40 for the fi
Valentin [98]
We are going to denote the number of additional minutes with x, and the total cost of the call with y. 

From PONCO, we know that they charge $1.25 for the first minute, and $0.30 for each additional minute; knowing that our additional minute is x and our total cost of the call is y, we can set up an equation to relate the values:
1.25+0.30x=y we are going to call this equation (1)

From CowBell, we know that they charge 1.40 for the first minute, and $0.25 for each additional minute. so just like before we can set up an equation to relate the values:
1.40+0.25x=y We are going to call this equation (2)

Since the total cost y of equations (1) and (2) is the same, we can equate them to find x:
1.25+0.30x=1.40+0.25x
0.05x=0.15
x= \frac{0.15}{0.05}
x=3

We can conclude that after 3 additional minutes the cost of the calls will be the same; therefore, the correct answer is B.


3 0
3 years ago
A cone-shaped pile of sawdust has a base diameter of 32 feet, and is 12 feet tall. Find the volume of the pile.
Darya [45]

Answer:

3216.99ft

Step-by-step explanation:

the formula for the volume of a cone is V=πr^2h/3

6 0
3 years ago
Read 2 more answers
The area of a parking lot is 805 square meters. A car requires 5 meters and a bus requires 32 square meters of space. There can
zlopas [31]

Answer:

  80 cars will maximize revenue

Step-by-step explanation:

The revenue per square meter for parked cars is ...

  $2.00/5 = $0.40

The revenue per square meter for buses is ...

  $6.00/32 = $0.1875

Thus the available space should be used to park the maximum number of cars.

80 cars should be in the lot to maximize income.

6 0
3 years ago
Keegan says that a quadrilateral is a square if and only if it is a rectangle. Is this a true biconditional statement?
belka [17]
It is true that what Keegan said is a biconditional statement.
5 0
3 years ago
PLLLLLLLLLLLEEEEAAAAAAAAAAAAAASEEEEEEEEEE HEELPP MEEEEEE
mart [117]
Hi there!

Let's break this down. We know that there are 5 weight machines, and Leo spent an equal amount of time on all of them. Since we don't know how long he spent on each, we'll use x. Our equation so far is 5x. Then, we know that he spent 2/3 hour on the treadmill, which we will just add to the 5x. So, now our equation is 5x + 2/3. Lastly, we know that the total time Leo spent at the gym is 1 3/4 hours, which we set the last equation equal to. Our final equation is 5x + 2/3 = 1 3/4. Then, all we have to do is solve for x. What we can do to make this easier is to change all of the fractions into numbers. After changing everything, here is our equation: 5x + 40 = 105. Then, we will subtract 40 from each side and divide both sides by 5. Therefore, Leo spent 13 minutes on each weight machine.

ANSWER:
A) 5x + 2/3 = 1 3/4 ; Leo spent 13 minutes at each machine

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
6 0
3 years ago
Read 2 more answers
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