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sammy [17]
4 years ago
6

A factory produces 3 bottles of sparkling water for every 8 bottles of plain water. How many bottles of sparkling water does the

company produce when it produces 600 bottles of plain water?
Mathematics
1 answer:
Lorico [155]4 years ago
5 0

Answer:

225  

Step-by-step explanation:

Let S = bottles of sparkling water

and P = bottles of plain water

There are 3S for every 8P.

For 600P,

B = 600P × (3S/8P)

  = 225S

The company produces 225 bottles of sparkling water for every 600 bottles of plain water

Check:

225:600 = 3:8

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kkurt [141]

I'm assuming its asking what time he finished? I added it up and it seems to be 7:42 pm.

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4 years ago
On the first part of her trip Natalie rode her bike 16 miles and on the second part of the trip she rode her bike 42 miles. Her
-BARSIC- [3]

Answer:

14 mph   ( average speed during the second part of the trip )

Step-by-step explanation:

Let´s call  "x"  the average speed during the first part then

t = 5 hours

t  =  t₁  +  t₂        t₁   and  t₂   times during part 1 and 2 respectively

l = t*v           (  distance is speed by time )      t =  l/v

First part

t₁  = 16/x        and      t₂  = 42 / ( x + 6)

Then

t =   5   =  16/x   +   42 /(x + 6)

5 = [ 16 * ( x  +  6 ) +  42 * x ] / x* ( x + 6 )

5 *x * ( x + 6 )  =  16*x  + 96 +  42 x

5*x² + 30*x  - 58*x - 96  =  0

5*x²  -  28*x  -  96  =  0

We obtained a second degree equation, we will solve for x and dismiss any negative root since negative time has not sense

x₁,₂  =   [28 ± √ (28)² + 1920  ] / 10

x₁,₂  = ( 28  ± √2704 )/ 10

x₁  = 28  -  52 /10        we dismiss that root

x₂  = 80/10

x₂  =  8 mph       average speed during the first part, and the average speed in the second part was 6 more miles than in the firsst part. then the average spedd dring the scond part was 8 + 6 = 14 mph

6 0
4 years ago
The radius of a circle is 8 cm<br> Calculate the circumference of the circle <br> [Use pi r = 3.1]
Murrr4er [49]

Answer:

Radius is 8 cm, this means that the diameter is 16 cm. the circumference formula is 2(pie)R     2x3.14xRadius... Your answer is 50.265CM

Step-by-step explanation:


3 0
3 years ago
Given f(x) = x^2 + x − 2 and g(x) = 2x − 4, identify (f + g)(x).
shutvik [7]

Answer:

(f + g)(x) = x^2 + 3x - 6

Step-by-step explanation:

Given f(x) = x^2 + x − 2 and g(x) = 2x − 4

Plug in:

(f + g)(x) = x^2 + x − 2 + 2x − 4

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3 0
3 years ago
Read 2 more answers
Flying with the wind, a small plane flew 404 mi in 2 h. Flying against the wind, the plane could fly only 386 mi in the same amo
Alika [10]

Answer: rate of the plane is 197.5 mph

rate of wind is 4.5 mph

Step-by-step explanation:

Let x represent the rate of the plane in calm air.

Let y represent the rate of the wind.

Flying with the wind, a small plane flew 404 mi in 2 h. This means that the total speed with which the plane flew is (x + y) mph.

Distance = speed × time

Distance travelled by the plane while flying with the wind is

404 = 2(x + y)

Dividing both sides of the equation by 2, it becomes

202 = x + y- - - - - - - - - - - 1

Flying against the wind, the plane could fly only 386 mi in the same amount of time. This means that the total speed at which the plane flew is (x - y) mph.

Distance = speed × time

Distance travelled by the plane while flying against the wind is

386 = 2(x - y)

Dividing both sides of the equation by 2, it becomes

193 = x - y- - - - - - - - - - - 2

Adding equation 1 to equation 2, it becomes

395 = 2x

x = 395/2

x = 197.5

Substituting x = 197.5 into equation 1, it becomes

202 = 197.5 + y

y = 202 - 197.5

y = 4.5

3 0
4 years ago
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