If (k, 3) is a point on the graph of the equation x + 2y = 8, what is the value of k?

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

7 0

3 years ago

Explain weather 14t-3t is equivalent to 3t-14t. Support your sender by evaluating the expression for t=2.

m_a_m_a [10]

Answer:

Solving 14t-3t we get 22 and 3t-14t we get -22

So, 14t-3t is not equivalent to 3t-14t.

Step-by-step explanation:

We need to explain weather 14t-3t is equivalent to 3t-14t. Support your sender by evaluating the expression for t=2.

Equivalent expressions are those that have same values for any value of variable substituted.

Now, We check if our expressions are equivalent, by evaluating the expression for t=2.

If they are equivalent, they would have same result after evaluation.

First, put t=2 into 14t-3t

$14t-3t\\Put\:t=2\\=14(2)-3(2)\\=28-6\\=22$

Now put t=2, into 3t-14t

$3t-14t\\Put\:t=2\\=3(2)-14(2)\\=6-28\\=-22\\$

For solving 14t-3t we get 22 and 3t-14t we get -22

So, 14t-3t is not equivalent to 3t-14t.

6 0

3 years ago

Solve and i give brainliest

Temka [501]

Answer:

0.25

Step-by-step explanation:

-9/6 divided by 3/-2 = 0.25

i am sorry

4 0

3 years ago

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Find the circumference and area of a circle with a diameter of 10 inches leave answers in terms of pi

Umnica [9.8K]

Answer:

The circumference is = 10π

The area is = 25π

Step-by-step explanation:

8 0

3 years ago

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Simplify (10^-2/10^3)^-1 a-100,000 B 1/-10 C1/10 D 100,000

nignag [31]

Answer:

D

Step-by-step explanation:

6 0

3 years ago

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