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AlladinOne [14]
4 years ago
6

A​ cone-shaped paper water cup has a height of 12 cm and a radius of 6 cm. If the cup is filled with water to five dash sixths i

ts​ height, what portion of the volume of the cup is filled with​ water?
Mathematics
1 answer:
s2008m [1.1K]4 years ago
8 0

Answer:

125/216 or (5/6)³

Step-by-step explanation:

height of water column=5/6 ×12=10 cm

radius of water level=10/12×6=5 cm

volume of water=π ×5²×10=250 π cm³

volume of cone=π×6²×12=432 π cm³

reqd. ratio=250 π/432 π=125/216=(5/6)³

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5 men take 45hours to build a wall.how long will it take 9men working at the same wall?​
Karolina [17]

Answer:

<u>25 hours</u>

Step-by-step explanation:

It takes 5 men 45 hours to build a wall.

So, if no. of men increases by 1.8 [∴ 5 x 1.8 = 9],

then time taken reduces by that same amount.

=> 45 hours / 1.8

=> 45 / (9/5)

=> 45 x 5 / 9

=> 5 x 5

=> <u>25 hours</u>

7 0
2 years ago
Cantaloupes are four for $ 9, how many can you buy for $25? which proportion is properly set up?
Lemur [1.5K]

Answer:

you can buy 2 two cantaloupes.

you'll have $7.00

7 0
3 years ago
HELP ME PLEASEEEEEEEEE
Nataliya [291]

Answer:

a)This solution matches with the original equation and its solution

b)This solution matches with the original equation and its solution

c)This solution <em><u>does not</u></em> match with the original equation and its solution. Though the solution is correct the original given equation cannot be used.

d)This solution <em><u>does not</u></em> match with the original equation and its solution. Though the solution is correct the original given equation cannot be used.

Step-by-step explanation:

i) Which scenarios can be solved by 1.5x +  2.25 = 12.75. Select all that apply and note the given solution.

therefore 1.5x = 10.5   therefore x  = 7

a) let the number be x

   therefore if \frac{3}{2} x + \frac{9}{4}  = \frac{51}{4}  \Rightarrow  1.5x + 2.25 = 12.75  then the number x = 7.

 This solution matches with the original equation and its solution

b.) If a taxi driver charges a flat fee of $2.25 and $1.5 per mile, where the

     number of mile = x, then the number of miles Juan can ride the taxi for

     $12.75 is x = 7.

This solution matches with the original equation and its solution

c)if nine quarters of a number, say x, increased by three halves is fifty one

   quarters, the number is x = 5,

   \frac{9}{4} x + \frac{3}{2}  = \frac{51}{4}  \Rightarrow  9x = 51 - 6 = 45 \therefore x = 5

This solution <em><u>does not</u></em> match with the original equation and its solution. Though the solution is correct the original given equation cannot be used.

d.)   If a taxi driver charges a flat fee of $1.5 and $2.25 per mile, where the

     number of mile = x, then the number of miles Juan can ride the taxi for

     $12.75 is x = 5.

2.25x + 1.5  = 12.75  \Rightarrow  9x = 51 - 6 = 45 \therefore x = 5

This solution <em><u>does not</u></em> match with the original equation and its solution. Though the solution is correct the original given equation cannot be used.

3 0
4 years ago
A solution to the system y = 2x 7 and x +y= 5? Why or why not​
andrezito [222]

Answer:

given that, y=2×7

y=14

and

x+y=5

x+14=5

x=5-14

x=9

x not equal to 5

5 0
2 years ago
Carolina has 5 cups of white sugar. Each pumpkin pie requires 2/3 cup of white sugar. How many whole pumpkin pies can Carolina b
Solnce55 [7]

Answer:

It is 7

Step by step explanation:

5 divided by 2/3 equals 7.5, which means she can bake 7 whole pies.

5 0
3 years ago
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