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1 year ago

Determine whether the following has one solution, no solution, or many solutions.3(3 - x) + 5x = 2(x + 2)

Mathematics

1 answer:

Vilka [71]1 year ago

5 0

Given the equation :

$3(3-x)+5x=2(x+2)$

Solve for x:

$\begin{gathered} 3\cdot3-3x+5x=2x+2\cdot2 \\ 9+2x=2x+4 \\ 9-4=2x-2x \\ 5=0 \end{gathered}$

The last result means that the given equation has no solution

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Liono4ka [1.6K]

Answer:

Option B, $(48x^{8}y^{5})$

Step-by-step explanation:

<u>Step 1: Simplify the exponent</u>

$(12x^{2}y^{3})(2x^{3}y)^{2}$

$(12x^{2}y^{3})(2^{2}x^{3*2}y^{1*2})$

$(12x^{2}y^{3})(4x^{6}y^{2})$

<u>Step 2: Simply the expression</u>

$(12x^{2}y^{3}*4x^{6}y^{2})$

$(48x^{2+6}y^{3+2})$

$(48x^{8}y^{5})$

Answer: Option B, $(48x^{8}y^{5})$

8 0

2 years ago

1. Convert 0.3 to a fraction and decimal.

Lubov Fominskaja [6]

Answer:

1=30%

2=0.09

3=37.5%

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2 years ago

Read 2 more answers

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Hitman42 [59]

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3 years ago

Suppose that a large mixing tank initially holds 400 gallons of water in which 70 pounds of salt have been dissolved. Pure water

Setler79 [48]

Answer:

Step-by-step explanation:

Given that a large mixing tank initially holds 400 gallons of water in which 70 pounds of salt have been dissolved. Pure water is pumped into the tank at a rate of 4 gal/min, and when the solution is well stirred, it is then pumped out at the same rate.

Let Q(t) be the quantity of salt at time t.

Q(0) = 70 pounds

Inflow of water = outflow = 4 gal/min

So resulting volume of tank at time t = 400 gallons

Rate of change of salt = inflow - outflow

= 0 - $\frac{Q(t)}{400}$