What are the factors of 45 that add up to 12

David wants to hang a mirror in his room. The mirror and frame must have an area of 8 square feet. The mirror is 2 feet wide and

andreyandreev [35.5K]

Represent the thickness of the frame by x. Framing the mirror will increase both its length and width by 2x. The area of the mirror with the frame is the product of the length and width which can mathematically be expressed as,

A = (3 + 2x)(2 +2x) = 8

The equation above can be simplified into 4x^2 + 10x -2 = 0. This equation can still be further simplified by dividing it by 2. However, it will give an answer which is not found on the choices. Thus, the answer is the third choice.

5 0

3 years ago

Answer the problem please

Ivahew [28]

Answer:

this is not middle school math no way

Step-by-step explanation:

8 0

3 years ago

There are 4 quarters, 5 nickels and 3 dimes in a jar. One coin is randomly drawn,

vagabundo [1.1K]

Answer:

$\displaystyle\frac{5}{36}$

Step-by-step explanation:

Probability is used to find how likely an outcome is to happen. Probability can be expressed as a fraction with the total outcomes as the denominator and the number of successful outcomes (what you want to happen) as the numerator.

Sample Size

The sample size is the number of possible outcomes. In this case, the sample size will be the total number of coins. To find the sample size we need to add together all of the coins.

4 + 5 + 3 = 12

This means that the sample size is 12. For this type of probability, the sample size will serve as the denominator for each probability.

Replacement

In the question, it is stated that coins are replaced. This means that the sample size will not change at any point. So, the denominator will be the same for every probability.

Creating Probability Fractions

We are looking for the probability of getting a quarter and nickel, so we need to find the fractions that represent both situations.

First, let's find the quarter. As stated in the first paragraph, the number of successful outcomes is the numerator. There are 4 quarters, so 4 is the number of successful outcomes. Therefore, 4 will be the numerator. Then, 12 will be the denominator because 12 is the sample size.

$\displaystyle\frac{4}{12}$

Next, we need to find the probability of a nickel. Since there are 5 nickels, there are 5 successful outcomes. Then, the sample size is still 12 because there is replacement.

$\displaystyle\frac{5}{12}$

Complex Probability

Now we have the probability of both a quarter and nickel alone. However, this question asks about the probability of both, so this is an example of complex probability. To find complex probability, you have to multiply each probability together.

$\displaystyle\frac{4}{12} *\frac{5}{12}=\frac{20}{144}$

To reach the final answer we have to simplify the answer.

$\displaystyle\frac{20}{144} =\frac{5}{36}$

This means that the probability of pulling a quarter and then a nickel is 5/36.

3 0

2 years ago

HELP PLEASE Find the outlier of the set of data: 20, 23, 19, 25, 4, 18, 26

STALIN [3.7K]

Answer:

I think is the 23

I hope help you

5 0

3 years ago

Determine whether the ordered pair (1, 1) is a solution of the inequality. y ≤ -3x+1

solong [7]

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Answer: $\textsf{(1, 1) is NOT a solution of the inequality}$

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Given: $y \le-3x + 1$

Find: $\textsf{Determine if (1, 1) is a solution of the inequality}$

Solution: In order to determine if (1, 1) is a solution we need to plug in 1 for the x values and 1 for the y values and see if the equation evaluated to true.

Plug in the values

$y \le-3x + 1$

$1 \le-3(1) + 1$

Simplify

$1 \le-3 + 1$

$1 \le-2$

As we can see the expression states that 1 is less than or equal to -2 which is false therefore (1, 1) is NOT a solution of the inequality.

3 0

2 years ago