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hram777 [196]
3 years ago
15

A drink is mixed in the ratio

Mathematics
1 answer:
Contact [7]3 years ago
4 0

Answer:

3

Step-by-step explanation:

 Drink mix ratio:

        Lemonade   :    Orange      :     Cranberry

                 6           :          3          :          C

  Fraction  of Cranberry juice  = \frac{3}{12}

Sum of the ratio = 6 + 3 + C  = 9 + C

   Fraction of Cranberry;

                \frac{C}{9 + C}   = \frac{3}{12}

               3(9 + C)  = 12C

               27 + 3C  = 12C

               27  = 12C - 3C

                9C  = 27

                   C = 3

The missing number will be 3

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Step-by-step explanation:

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A new sidewalk will be 5 feet​ wide, 100 feet​ long, and filled to a depth of 3 inches ​(0.25 ​foot) with concrete. How many cub
GarryVolchara [31]

Answer:

4.63 cubic yard.

Step-by-step explanation:

Given,

The length of sidewalk, l = 100 feet,

Width, w = 5 feet,

Depth, h = 3 inches = 0.25 feet,

Thus, the volume of the concrete needed for making the sidewalk,

V=l\times w\times h

=100\times 5\times 0.25

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4 0
3 years ago
PLEASE HELP AND SHOW WORK!!
Nastasia [14]

Answer:

Pipe 1 alone fills a tank in 10 min

Pipe 2 alone fills the tank in 20 min

If both are turned on together, how long will it take to fill the tank???

Pipe 1 fills at the RATE of 1/10th tank per min

Pipe 2 fills at the RATE of 1/20th tank per min

Pipe 1 + Pipe 2 fills at the rate of 1/10+1/20 or 3/20th tank per min

Let x= time to fill the tank

(3/20)(x)=1 Where 1 denotes a full tank (Multiply both sides by 20)

3x=20

x=6 2/3 min----------both working together

NOW YOUR PROBLEM

Let x= amount of time for smaller pipe to fill the tank

Then (x-5)=amount of time for larger pipe to fill the tank

NOW HERE'S WHERE THE RECIPROCAL COMES IN:

The smaller pipe fills the tank at the RATE of 1/x cu units per min

The larger tank fills the tank at the RATE of 1/(x-5) cu units per min

Together, they fill the tank at the rate of 1/x+(1/(x-5)) cu units per min

But now we are told that together the fill the tank in 11 1/9 minutes. so our equation to solve is:

(1/x+(1/(x-5))(11 1/9)=1 where 1 denotes a full tank. In fact, in each of the above reciprocals, the 1 denotes a full tank.

So, dividing both sides by 11 1/9, we get:

1/x+(1/(x-5)=1/(11 1/9)-------------- which is your equation

I assume that you have no problems solviing this eq.

Hope this helps----ptaylor

Step-by-step explanation:

7 0
2 years ago
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