Explain how to model the problem with algebra tiles and then write an algebraic expression that represents the situation.

2 answers:

8 0

Answer: The variable is the number of free throws and is modeled by an orange x tile. Making 4 more free throws is molded by 4 orange + tiles. The expression is x + 4.

Step-by-step explanation:

Pie3 years ago

7 0

Answer:

60-10+x why, because she bought the dress with $60 and she received $10 dollars back. We don't know the variable.

Step-by-step explanation:

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A chemist has 200 mL of a 10% sucrose solution. She adds x mL of a 40% sucrose solution. The percent concentration, y, of the fi

user100 [1]

Answer:

The chemist needs to add 400mL of 40% solution.

Step-by-step explanation:

The equation

$y=\frac{0.1(200)+0.4x}{200+x} *100$

gives the percent concentration $y$ of the final mixture, when $x$ mL of the 40% solution are added.

Now we are asked, how many milliliters $x$ of the 40% solution should the chemist add to get final percent concentration $y=30$ ; this is just a matter of solving the equation

$30=\frac{0.1(200)+0.4x}{200+x} *100$

and we solve it the following way:

$30=\frac{0.1(200)+0.4x}{200+x} *100\\\\0.3 =\frac{0.1(200)+0.4x}{200+x}\\\\0.3(200+x)=0.1(200)+0.4x\\\\60+0.3x=20+0.4x\\\\40=0.1x\\\\x=\frac{40}{0.1} \\\\\boxed{x=400\:mL}$