What is the solution set of the equation above?

A gear ratio r:s is the ratio of the number of teeth of two connected gears. The ratio of the number of revolutions per minute (rpm) of two gear wheels is s:r. In the diagram below, Gear A is turned by a motor. The turning of Gear A causes Gears B and C to turn as well.

If Gear A is rotated by the motor at a rate of 100 rpm, what is the number of revolutions per minute for Gear C?

The number of teeth has an inverse relationship with revolutions per minute (rpm) when two gears are mashed. Two quantities are considered to be in inverse proportion when they are related to one another in this way, that Two quantities are considered to be in inverse proportion when they are related to one another when a rise in one quantity causes a reduction in the other and vice versa. The sum of the two provided quantities equals a constant amount in inverse proportion. The inverse proportion formula can establish a relationship between two inversely proportional quantities. Assume that x decreases when y increases and vice versa for the two numbers, x and y. Example: The relationship between time and speed is inverse. The time it takes us to travel a certain distance lowers as our speed rises. Using speed as y and time as x, where y and x are inversely proportional, the formula is written as y = k/x.s, when a rise in one quantity causes a reduction in the other and vice versa. The sum of the two provided quantities equals a constant amount in inverse proportion. The inverse proportion formula can establish a relationship between two inversely proportional quantities. Assume that x decreases when y increases and vice versa for the two numbers, x and y. Example: The relationship between time and speed is inverse. The time it takes us to travel a certain distance lowers as our speed rises. Using speed as y and time as x, y, x are inversely proportional and are technically represented as inverse proportion formula. The inverse proportional formula is written as,
y = k/x

Which of the following is equivalent to   ?

In the xy-plane, the graph of  is a circle. What is the radius of the circle?

A laundry service is buying detergent and fabric softener from its supplier. The supplier will deliver no more than 300 pounds in a shipment. Each container of detergent weighs 7.35 pounds, and each container of fabric softener weighs 6.2 pounds. The service wants to buy at least twice as many containers of detergent as containers of fabric softener. Let d represent the number of containers of detergent, and let s represent the number of containers of fabric softener, where d and s are nonnegative integers. Which of the following systems of inequalities best represents this situation?

The members of a city council wanted to assess the opinions of all city residents about converting an open field into a dog park. The council surveyed a sample of 500 city residents who own dogs. The survey showed that the majority of those sampled were in favor of the dog park. Which of the following is true about the city council's survey?

Which of the following consists of the y-coordinates of all the points that satisfy the system of inequalities above?

The width of a rectangular dance floor is w feet. The length of the floor is 6 feet longer than its width. Which of the following expresses the perimeter, in feet, of the dance floor in terms of w?

Two different points on a number line are both 3 units from the point with coordinate -4. The solution to which of the following equations gives the coordinates of both points?

The table above shows a summary of 1,200 responses to a survey question. Based on the table, how many of those surveyed get most of their medical information from either a doctor or the Internet?

In sets of numbers called fractions, the top number (numerator) represents a portion related to the entire unit, and (the denominator) by the bottom number.
A ratio is similar to a fraction, where two numbers are compared. Although ratios can be written in fractional form, they are typically expressed as numbers separated by the colon symbol.
The ratio conversion into a fraction in mathematics is known as the ratio to a fraction. The ratio conveys the relative size of two or more values. The fraction similarly identifies the components of the whole. A: B or a/B are two ways to represent the ratio.

Which of the following is equivalent to   ?

A motor powers a model car so that after starting from rest, the car travels s inches in t seconds, where . Which of the following gives the average speed of the car, in inches per second, over the first  seconds after it starts?

Which of the following inequalities is equivalent to the inequality above?

The vertex of the parabola in the -plane above is . Which of the following is true about the parabola with the equation  ?

The scatterplot below shows the amount of electric energy generated, in millions of megawatt-hours, by nuclear sources over a 10 -year period.

Of the following equations, which best models the data in the scatterplot?

If the interest is compounded half-yearly, calculate the amount when the principal is  Rs7400, the rate of interest is 5% per annum and the duration is one year.