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ki77a [65]
2 years ago
6

6 quarts for $7.49 ______dollars per quart. ______quarts per dollar.

Mathematics
1 answer:
nirvana33 [79]2 years ago
3 0
<h2>PROBLEM SOLVING</h2>

__________________________

Let N be the answer to the problem

<h3>Dollars per quart: </h3>

N = 6 ÷ $ 7.49

N = 0.801068091

≈ $ 0.8

↬ $ 0.8 per quart

<h3>Quart per dollar:</h3>

N = $ 9.49 ÷ 6

N = 1.58166667

≈ 1.6

↬ 1.6 quart per dollar

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3 years ago
A bowl contains 25 balls numbered 1 to 25. A ball is drawn and its number is noted. Without replacing the first ball, another ba
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The probability that the numbers on both balls are odd numbers is \frac{13}{50}

<em><u>Solution:</u></em>

<em><u>The probability of an event is given as:</u></em>

probability =\frac{\text { number of favorable outcomes }}{\text { total number of possible outcomes }}

Given that, bowl contains 25 balls numbered 1 to 25

The sample space is given as;

{ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25 }

Therefore,

Total number of possible outcomes = 25

A ball is drawn and its number is noted. Without replacing the first ball, another ball is drawn.

Numbers on both balls are odd numbers

<em><u>Let us first find the probability that first ball is odd</u></em>

Favorable outcome = odd numbers

Favorable outcome = 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25

Number of favorable outcomes = 13

Thus, probability is given as:

probability = \frac{13}{25}

Now Without replacing the first ball, another ball is drawn.

<em><u>Find the probability that second ball is odd number</u></em>

Without replacing means that ball is not put back into bowl

So, sample space = 25 - 1 = 24

Total number of possible outcomes = 25

Number of favorable outcomes = 13 - 1 = 12

Thus, probability is given as:

probability = \frac{12}{24}

<em><u>Probability that the numbers on both balls are odd numbers is:</u></em>

Multiply both the probabilities

\text{ probability of odd } = \frac{13}{25} \times \frac{12}{24} = \frac{13}{50}

Thus, probability that the numbers on both balls are odd numbers is \frac{13}{50}

8 0
3 years ago
Simplify the expression.<br><br>Write your answer without negative exponents.​
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Answer: \frac{5a^2}{-10a^4b^9}

Step-by-step explanation:

Any negative exponent can be moved to the other side of the fraction as a positive exponent.

Thus, simply move the negative exponents to get: 5a^2/b*b^8*-10a^4.  Then, use the exponent rule to get 5a^2/-10a^4b^9

Hope it helps <3

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