Hanna shops for socks that cost $2.99 for each pair and blouses that cost $12.99 each. Let x represent the number of pairs of socks purchased, and let y represent the number of blouses purchased. Which equation models the purchases she made with $43.92?

Polaris is the basis of our calculation having a deviation of 0.7 degrees from the fixed north. So if the angle between Polaris and the horizon is 40 degrees, then it only means that you are at approximately 39.3-40.7 degrees north latitude.

Final answer:

The angle between Polaris and the horizon is approximately equal to the observer's latitude. Therefore, if Polaris is observed at a 40° angle from the horizon, the observer is at approximately 40° North latitude.

Explanation:

When you observe Polaris, the North Star, from your location and find that its angle above the horizon is 40°, this angle is equivalent to your approximate latitude. This is because Polaris is situated nearly directly above the Earth's North Pole.

Therefore, the altitude angle of Polaris, as you observe it from a particular location in the Northern Hemisphere, generally corresponds to that location's latitude. In your case, since Polaris is at a 40° altitude, your latitude is approximately 40° North.

Answer:

=

Step-by-step explanation:

When solving this, we just have to remember that the zero´s to the right after the decimal point are meaningless, so basically 0.700 is the same as 0.7 so in this case both number are the same, 0.700 and 0.7 are the same number expressed in different ways.

Answer:

[tex]\Rightarrow 6\times 10^5\ g[/tex]

Step-by-step explanation:

Given : Divide two number and write as scientific notation.

Scientific notation:

[tex]\Rightarrow k\times 10^n[/tex]

Number 1: 300 g²

Number 2: 0.0005 g

Divide [tex]=\dfrac{300\ g^2}{0.0005\ g}[/tex]

[tex]\Rightarrow \dfrac{30\times 10}{5\times 10^{-4}\ g{2-1}[/tex]

[tex]\Rightarrow 6\times 10^{1+4}\ g[/tex]

[tex]\Rightarrow 6\times 10^5\ g[/tex]

Scientific notation:

[tex]\Rightarrow k\times 10^n[/tex]

Hence, The result of division is [tex]\Rightarrow 6\times 10^5\ g[/tex]

Answer:

55.88

Step-by-step explanation:

To solve (679 × 0.0025) + 24.17, multiply 679 by 0.0025 to obtain 1.6975, then add this to 24.17 to get the final result, which rounded to the nearest thousandth is 25.868.

To find the best answer to report for the calculation (679 × 0.0025) + 24.17, we first perform the multiplication of 679 by 0.0025. This step is crucial to solve the problem accurately. After carrying out the multiplication, we add the result to 24.17 to find the final answer.

Calculating 679 × 0.0025 gives us 1.6975. The next step is to add this product to 24.17:

1.6975 + 24.17 = 25.8675

Thus, the best answer to report, rounded to the nearest thousandth as is common in many mathematical contexts, would be 25.868.

Complete Question:

What is the best answer to report for: (679 × 0.0025) + 24.17?

Answer:

3.    

Step-by-step explanation:

IQ scores follow a bell curve distribution where 100 is the mean. About 50% of people score above 100. Therefore, in a group of 78 students, we would expect about 39 students to have IQ scores above 100.

The question is asking to determine what percent of 78 students in a population have IQ scores above a 100. Given that the IQ scores in large populations are centered at 100 and follow a bell curve, most people fall within the range of 85 to 115. The percentage of people who score above 100 is the same as those who score below it - about 50%.

According to the nature of a bell curve, approximately 34% of people score between 100 and 115, and about 14% score above 115. Therefore, around 50% (34% + 14%) of the people score above 100.

Applying this percentage to the population of the 78 students, we would expect about 50% of this student population to have scores above 100. So, 50% of 78 students amounts to 39 students. Rounded off to one decimal place, the answer would be 39.0 students. However, students can't be divided, so we conclude that about 39 students from the group of 78 have IQ scores above 100.

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Final answer:

The expression –32 + (2 – 6)(10) evaluates to –72, by first calculating the operation within the parentheses, multiplying it by 10, and then adding it to –32.

Explanation:

To evaluate the expression –32 + (2 – 6)(10), we must follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). Firstly, we calculate the value inside the parentheses (2 – 6), which equals –4. Then we multiply this value by 10 to get –40. Finally, we add the result to –32 which gives us –32 + (–40) = –32 – 40 = –72.

Final answer:

The expression –32 + (2 – 6)(10) evaluates to –372 after performing the operations inside the parentheses and then multiplying and adding as per the order of operations.

Explanation:

To evaluate the expression –32 + (2 – 6)(10), we start by performing the operation inside the parentheses first. We subtract 6 from 2, getting –34. Then we multiply this result by 10 to get –340.

Next, we add this result to –32: –32 + (–340) = –372. So the final answer to the expression is –372.

the answer, by putting 1/3 in the place of x the answer comes out to 3.