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3 years ago

Help me please How many solutions does the equation x -4 = 12 - 2x have? Explain. - ? .

Mathematics

1 answer:

MA_775_DIABLO [31]3 years ago

8 0

Answer: one solution.

Step-by-step explanation:

$\dfrac{2}{3} x-4=12-2x\\\\\dfrac{2}{3} x+2x=12+4\\\\2\dfrac{2}{3} x=16\\\\\dfrac{8}{3} x=16\\\\8x=16 \cdot 3\\\\8x=48\\\\x=\dfrac{48}{8} =6$

This equation has one solution: x = 6.

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Which expression is equivalent to (5x^5)(4x)^3

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Answer:

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3 years ago

The Royal Fruit Company produces two types of fruit drinks. The first type is 55% pure fruit juice, and the second type is 80% p

Stolb23 [73]

Answer:

First type of fruit drinks: 48 pints

Second type of fruit drinks: 32 pints

Step-by-step explanation:

Let's call A the amount of first type of fruit drinks. 55% pure fruit juice

Let's call B the amount of second type of fruit drinks. 80% pure fruit juice

The resulting mixture should have 65% pure fruit juice and 80 pints.

Then we know that the total amount of mixture will be:

$A + B = 80$

Then the total amount of pure fruit juice in the mixture will be:

$0.55A + 0.8B = 0.65 * 80$

$0.55A + 0.8B = 52$

Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -0.8 and add it to the second equation:

$-0.8A -0.8B = -0.8*80$

$-0.8A -0.8B = -64$

$0.55A + 0.8B = 52$

--------------------------------------

$-0.25A = -12$

$A = \frac{-12}{-0.25}$

$A = 48\ pints$

We substitute the value of A into one of the two equations and solve for B.

$48 + B = 80$

$B = 32\ pints$

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3 years ago