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4 years ago

A certain drug is made from only two ingredients: compound A and compound B. There are

Mathematics

1 answer:

NISA [10]4 years ago

3 0

Answer:

425 milliliters of compound A are needed

Step-by-step explanation:

We were told that $5$ milliliters of compound A and $6$ milliliters of compound B is needed to make the drug.

This means that each drug contains 11 milliliters of both compounds.

$\frac{935}{11}=85$ milliliters is the volume of each drug.

Therefore the chemist needed $5\times 85=425$ millilirteres of compound A.

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Simplify the expression and rewrite in rational exponent form.

Dahasolnce [82]

Answer:

$4 x^{\frac{11}{10}} \cdot y^{\frac{17}{3}}$

Step-by-step explanation:

The given expression: $4 \sqrt[5]{x^{3}} \cdot y^{4} \cdot \sqrt{x} \cdot \sqrt[3]{y^{5}}$

Step 1: Change radical to fractional exponent.

Formula for fractional exponent: $\sqrt[n]{a}=a^{\frac{1}{n}}$

The power to which the base is raised becomes the numerator and the root becomes the denominator.

$\Rightarrow 4 x^{\frac{3}{5}} \cdot y^{4} \cdot x^{\frac{1}{2}} \cdot y^{\frac{5}{3}}$

Step 2: Apply law of exponent for a product $a^{m} \times a^{n}=a^{m+n}$

Multiply powers with same base.

$\Rightarrow 4 x^{\frac{3}{5}+\frac{1}{2}} \cdot y^{4+\frac{5}{8}}$

Take LCM for the fractions in the power.

$\Rightarrow 4 x^{\frac{6}{10}+\frac{5}{10}} \cdot y^{\frac{12}{3}+\frac{5}{3}}$

$\Rightarrow 4 x^{\frac{11}{10}} \cdot y^{\frac{17}{3}}$

Hence the simplified form of $4 \sqrt[5]{x^{3}} \cdot y^{4} \cdot \sqrt{x} \cdot \sqrt[3]{y^{5}} \text { is } 4 x^{\frac{11}{10}} \cdot y^{\frac{17}{3}}$ .

5 0

3 years ago

Help ydjd8du sshhdiddk

vazorg [7]

Gosh I hope you didn't have to turn this in yet. I'll help you with 4 and 5.

If you want to find the unit rate, you're finding out how much money it is per ounce.
Divide your cost by the number of ounces.

So for example, 3.98 / 16.

After you get your answers, write them down. Whichever answer is the lower number is the better buy because each ounce costs less.

7 0

3 years ago

Triangles H J K and L M N are congruent. Triangle H J K is rotated about point H to form triangle L N M. Triangle L M N is highe

Sauron [17]

Answer:

Translate K to N and rotate about K until HK lies on the line containing LN.

Step-by-step explanation:

Hope this helps bb's!!

Lots of love and peace your way!! <3

7 0

3 years ago

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