Question
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?
Hint:
Hint:
- An inequation is a statement that an inequality holds between two values.
The correct answer is:
Explanation:
- We have given the maximum weights of the shipment is 300 pounds and each detergent and fabric softener contain 7.35 and 6.2 pounds respectively. The number of the container of detergent and fabric softener is d and s respectively. And The service wants to buy at least twice as many containers of detergent as containers of fabric softener.
- We have to find the inequality that represents the above situation.
Step 1 of 1:
The number of detergents is d and the weight of one detergent is 7.35
So, the Total weight of detergent will be 7.35d pounds
Now, the number of fabric softeners is s and the weight of one fabric softener is 6.2
So, the Total weight of fabric softener will be 6.2s pounds
Therefore the total weight is
Now it is given that the maximum weight of the shipment is 300 pounds
So, The inequality will be
Step 2 of 2:
Also, It is given that the service wants to buy at least twice as many containers of detergent as containers of fabric softener
Ie,
So,
Option (A) is correct.
Related Questions to study
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?
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?
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?
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?
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.
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.