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MA_775_DIABLO [31]
3 years ago
6

Bikers were 1/2 finished with their ride at the 6-mike mark. How long was their ride ?

Mathematics
1 answer:
exis [7]3 years ago
3 0
12 miles-
6 miles in the first half, 6 miles in the second, 12 miles total
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One canned orange juice is 25% orange juice another is 5% orange juice. How many liters of each should be mixed together in orde
Cerrena [4.2K]

Answer:

X = \frac{1.6 - 0.05Y}{0.25}= 6.4 -0.2 Y  (3)

Replcaing equation (3) into equation (2) we got:

0.75(6.4 -0.2 Y) +0.95 Y = 18.4

And solving for Y we got:

4.8 -0.15 Y +0.95 Y = 18.4

0.8 Y = 13.6

Y = 17

And solving for X from equation (3) we got:

X= 6.4 -0.2*17 = 3

So we need 3L of orange juice with 25% of concentration and 17 L of orange juice with 5% of concentration

Step-by-step explanation:

For this problem we can work with the concentration of water and orange juice.

Let X the amount for the orange juice with 25% content and Y the amount for the orange juice with 5% of content

Using the concentration of orange juice we have:

0.25 X + 0.05 Y = 20*0.08  (1)

And for the water we have:

0.75 X + 0.95Y = 20*0.92  (2)

If we solve for X from equation (1) we got:

X = \frac{1.6 - 0.05Y}{0.25}= 6.4 -0.2 Y  (3)

Replcaing equation (3) into equation (2) we got:

0.75(6.4 -0.2 Y) +0.95 Y = 18.4

And solving for Y we got:

4.8 -0.15 Y +0.95 Y = 18.4

0.8 Y = 13.6

Y = 17

And solving for X from equation (3) we got:

X= 6.4 -0.2*17 = 3

So we need 3L of orange juice with 25% of concentration and 17 L of orange juice with 5% of concentration

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Step-by-step explanation:

u got ig??

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