a scale drawing has scale 1:20. in real life the length of a boat is 150m what is the length of the boat on the scale drawing. Answer in centimetres

Final answer:

To find the equation of a line that is perpendicular to 5x-3y=12 and passes through (3,1), we first identify the slope of the given line, find the negative reciprocal to determine the perpendicular slope, and then use the point-slope form to derive the equation, resulting in y = -3/5x + 14/5.

Explanation:

The question asks us to write the equation of a line that is perpendicular to the given line 5x-3y=12 and passes through the point (3,1). Perpendicular lines have slopes that are negative reciprocals of each other. First, we find the slope of the given line by rearranging it into slope-intercept form:

5x - 3y = 12
-3y = -5x + 12
[tex]y = \(\frac{5}{3}x - 4\)[/tex]

This reveals the slope of the given line is  [tex]\(\frac{5}{3}\).[/tex] The slope of the line perpendicular to it would therefore be [tex]\(-\frac{3}{5}\)[/tex]since  [tex]\(-\frac{3}{5}\)[/tex]is the negative reciprocal of  [tex]\(\frac{5}{3}\).[/tex] Next, we use the point-slope form for the equation of a line with the known point (3,1):

y - y1 = m(x - x1)
[tex]y - 1 = \(-\frac{3}{5}\)(x - 3)[/tex]

Multiplying out, we get:

[tex]y - 1 = \(-\frac{3}{5}\)x + \(\frac{9}{5}\)[/tex]

Finally, adding 1 to both sides to solve for y:

[tex]y = \(-\frac{3}{5}\)x + \(\frac{9}{5}\) + 1[/tex]
[tex]y = \(-\frac{3}{5}\)x + \(\frac{14}{5}\)[/tex]

This is the equation of the line that is perpendicular to 5x-3y=12 and passes through (3,1).

Answer:

$96

Step-by-step explanation:

welp aight calm down now but da answer is 7:6

The required money earned by the company after selling 10⁵ balls is $4500000. Option C is correct.

A bowling ball manufacturer's heaviest bowling ball weighs 21 pounds and costs $45. The corporation sold 10 5 105 of these balls throughout the course of the previous year. To determine how much money did the company earn.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Number of balls sold = 10⁵
Cost for 1 ball = $45
Total selling price = 45 * 10⁵ = $4500000

Thus, the required money earned by the company after selling 10⁵ balls is $4500000. Option C is correct.

Learn more about simplification here: https://brainly.com/question/12501526

#SPJ2

Place value helps you subtract decimals by aligning the decimal points and subtracting digit by digit.

Place value helps you subtract decimals by aligning the decimal points and subtracting digit by digit. Start from the right and subtract the digits in the ones place, then move to the tenths place, hundredths place, and so on. If the top number is smaller than the bottom number in a place value column, you may need to borrow from the place value to the left.

https://brainly.com/question/2346316

#SPJ2

Answer:

what's the answer pls help me.

Step-by-step explanation:

There are 1447.8 millimeters in 57 inches. which is determined by multiplying 57 by 25.4.

The methodology to convert inches to mm is relatively simple. To convert inches to millimeters, you must multiply the unit by 25.4.

For example, if you have to convert 5 inches to millimeters, you need to multiply 5 by 25.4.

Therefore, 5 inches = 5 × 25.4 = 127 millimeters

We determine the number of millimeters there in 57 inches.

We have to convert 57  inches to millimeters,

We need to multiply 57 by 25.4.

So, 5 inches = 57 × 25.4 = 1447.8 millimeters

Therefore, there are 1447.8 millimeters in 57 inches.

To learn more about the unit conversion click here:

https://brainly.com/question/12792843

#SPJ2

Amy is incorrect because both options will give her the same total number of pom-poms.

Amy is incorrect in her statement. Let's calculate the total number of pom-poms in each scenario. If she buys 7 packages of 4 pom-poms, she would have 7 * 4 = 28 pom-poms. On the other hand, if she buys 4 packages of 7 pom-poms, she would have 4 * 7 = 28 pom-poms as well. So, both options result in the same total number of pom-poms.

Answer: The answer is A

To estimate the percentage of all cars that may be unsafe, divide the number of cars with safety violations by the total number of cars stopped, and then multiply by 100. Based on the data from the auto checkpoint, approximately 10.45% of all cars may be unsafe.

To estimate the percentage of all cars that may be unsafe, we can use the proportion of cars with safety violations found at the auto checkpoint. We can calculate the percentage by dividing the number of cars with safety violations by the total number of cars stopped, and then multiplying by 100.

In this case, 14 of the 134 cars stopped had safety violations. So, the percentage of cars that may be unsafe is (14/134) x 100 = 10.45% (rounded to two decimal places).

Therefore, we can estimate that approximately 10.45% of all cars may be unsafe based on the data from the auto checkpoint.

To write a situation for the inequality 15x - 20 ≤ 130 and solve it, let's assume that x represents the number of hours a student can study. The solution to the inequality is x ≤ 10, meaning the student needs to study for 10 hours or less to complete the required amount of work.

To write a situation for the inequality 15x - 20 ≤ 130, let's assume that x represents the number of hours a student can study. In this situation, the left-hand side of the inequality represents the amount of work the student has already completed (15x - 20) and the right-hand side represents the total amount of work the student needs to complete (130). The inequality states that the amount of work completed should be less than or equal to the total amount of work required. To solve the inequality, we can follow these steps:

Therefore, the solution to the inequality is x ≤ 10. This means that the student needs to study for 10 hours or less in order to complete the required amount of work.

https://brainly.com/question/40505701

#SPJ12