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Anarel [89]
3 years ago
8

How many mL of 75% alcohol should be mixed with 10% of 1000 cc alcohol to prepare 30% of 500 mL alcohol solution? a. 346.16 mL b

. 234.43 mL c. 153.84 mL d. 121.12 mL e.
Mathematics
1 answer:
g100num [7]3 years ago
7 0

Answer:

C. 153.84 mL

Step-by-step explanation:

Let's say x is the volume of 75% solution and y is the volume of 10% solution.

Sum of the volumes:

x + y = 500

Sum of the alcohol amounts:

0.75x + 0.10y = 0.30(500)

0.75x + 0.10y = 150

Solve the system of equations using either substitution or elimination.  I'll use substitution.

y = 500 - x

0.75x + 0.10 (500 - x) = 150

0.75x + 50 - 0.10x = 150

0.65x = 100

x = 153.84

You need 153.84 mL of 75% solution.

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3. 2/9,2,0

Step-by-step explanation:

(2/9,2,0,-7)

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An insured has $5,000 of medical coverage on a personal auto policy at the time of a covered accident. The insured and two passe
Vlad1618 [11]

Answer: 14,000 $ Max will be paid and 5000$ per person.

Step-by-step explanation:

In this case, we can assume the following:

1. That the policy covers only the insured one and not the passengers

2. The policy cover all the injured.

Now, the policy covers 5000$ of medical treatment, so, the medical treatment for the insured is 7000$.

To this quantity you'll have to take out the policy coverage which is 5000$, so: 7000 - 5000 = 2000$.

Finally, we just have to to the sum, of all quantity, because the passengers are not included in the policy, therefore:

8000 + 4000 + 2000 = 14000 $.

That is the maximum paid of all, and 5000$ will pay the policy for the injured only.

Now, if we assume that the passengers are also covered by the policy, then:

7000 - 5000 = 2000

8000 - 5000 = 3000

4000 - 5000 = -1000 it won t pay anything.

So if we sum 5000 + 5000 + 4000 = 14000$.

We got the same result assuming the policy with all.

Therefore the final answer is that the policy will pay 14000$ for all.

4 0
4 years ago
Write the given trinomial if possible as a square of a binomial or as an expression opposite to a square of a binomial: 15ab-9a^
MrMuchimi

Answer:

- \bigg(3a -  \frac{5}{2} b) \bigg)^{2}

Step-by-step explanation:

15ab-9a^2-6  \frac{1}{4} b^2 \\  \\  = 15ab-(3a)^2-\frac{6 \times 4 + 1}{4} b^2 \\  \\ = 15ab-(3a)^2-\frac{24+ 1}{4} b^2 \\  \\ = 15ab-(3a)^2-\frac{25}{4} b^2 \\  \\   = 15ab- (3a)^2- \bigg(\frac{5}{2} b \bigg)^2  \\  \\ =  -  \{ - 15ab + (3a)^2 +  \bigg(\frac{5}{2} b \bigg)^2  \} \\  \\ =  -  \{ (3a)^2 +  \bigg(\frac{5}{2} b \bigg)^2 - 15ab  \} \\  \\  =   - \bigg(3a -  \frac{5}{2} b \bigg)^{2}

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3 years ago
In each box, 20% of the total candies are grape flavored. In a box of 45 candies, how many are grape flavored?
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Answer:

20% of 45 would be 9. That means 9 candies, will be grape flavored.

8 0
2 years ago
Read 2 more answers
1. Type an equation in the equation editor that uses 2 fractions with parentheses around one of them. Example: <img src="https:/
avanturin [10]

Answer:

i) \frac{3}{5} + (- \frac{1}{2}) = \frac{6}{10} - \frac{5}{10} = \frac{1}{10}    \Rightarrow \frac{3}{5} + (- \frac{1}{2}) = \frac{6}{10} - \frac{5}{10} = \frac{1}{10}

ii)4^{3} + 8^{2} + \sqrt{9}   \Rightarrow  4^{3} + 8^{2} + \sqrt{9}

iii) (\frac{4}{5})^{2}. \sqrt[3]{8} \leqx^{3} - 3x + 6 \leq \sqrt{\frac{1}{3}} \Rightarrow \hspace{0.2cm}    (\frac{4}{5})^{2}. \sqrt[3]{8} \leqx^{3} - 3x + 6 \leq \sqrt{\frac{1}{3}}

Step-by-step explanation:

i) \frac{3}{5} + (- \frac{1}{2}) = \frac{6}{10} - \frac{5}{10} = \frac{1}{10}    \Rightarrow \frac{3}{5} + (- \frac{1}{2}) = \frac{6}{10} - \frac{5}{10} = \frac{1}{10}

ii)4^{3} + 8^{2} + \sqrt{9}   \Rightarrow  4^{3} + 8^{2} + \sqrt{9}

iii) (\frac{4}{5})^{2}. \sqrt[3]{8} \leqx^{3} - 3x + 6 \leq \sqrt{\frac{1}{3}} \Rightarrow \hspace{0.2cm}    (\frac{4}{5})^{2}. \sqrt[3]{8} \leqx^{3} - 3x + 6 \leq \sqrt{\frac{1}{3}}

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