Maths-
General
Easy

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?

  1. table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 7.35 d plus 6.2 s less or equal than 300 end cell row cell d greater or equal than 2 s end cell end table
  2. table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 7.35 d plus 6.2 s less or equal than 300 end cell row cell 2 d greater or equal than s end cell end table
  3. table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 14.7 d plus 6.2 s less or equal than 300 end cell row cell d greater or equal than 2 s end cell end table
  4. table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 14.7 d plus 6.2 s less or equal than 300 end cell row cell 2 d greater or equal than s end cell end table

hintHint:

Hint:
  • An inequation is a statement that an inequality holds between two values.

The correct answer is: table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 7.35 d plus 6.2 s less or equal than 300 end cell row cell d greater or equal than 2 s end cell end table


    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
    7.35 d plus 6.2 s
    Now it is given that the maximum weight of the shipment is 300 pounds
    So, The inequality will be
    7.35 d plus 6.2 s
    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, d greater or equal than 2 s
    So,
    Option (A) is correct.

    Related Questions to study

    General
    Maths-

    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?

    Maths-General
    General
    Maths-

    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell y greater than 2 x minus 1 end cell row cell 2 x greater than 5 end cell end table
    Which of the following consists of the y-coordinates of all the points that satisfy the system of inequalities above?

    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell y greater than 2 x minus 1 end cell row cell 2 x greater than 5 end cell end table
    Which of the following consists of the y-coordinates of all the points that satisfy the system of inequalities above?

    Maths-General
    General
    Maths-

    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?

    Maths-General
    parallel
    General
    Maths-

    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?

    Maths-General
    General
    Maths-


    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?

    Maths-General

    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.

    General
    Maths-

    Which of the following is equivalent to fraction numerator 4 x squared plus 6 x over denominator 4 x plus 2 end fraction  ?

    Which of the following is equivalent to fraction numerator 4 x squared plus 6 x over denominator 4 x plus 2 end fraction  ?

    Maths-General
    parallel
    General
    Maths-

    A motor powers a model car so that after starting from rest, the car travels s inches in t seconds, where s equals 16 t square root of t. Which of the following gives the average speed of the car, in inches per second, over the first  seconds after it starts?

    A motor powers a model car so that after starting from rest, the car travels s inches in t seconds, where s equals 16 t square root of t. Which of the following gives the average speed of the car, in inches per second, over the first  seconds after it starts?

    Maths-General
    General
    Maths-

    6 x minus 9 y greater than 12
    Which of the following inequalities is equivalent to the inequality above?

    6 x minus 9 y greater than 12
    Which of the following inequalities is equivalent to the inequality above?

    Maths-General
    General
    Maths-


    The vertex of the parabola in the x y-plane above is . Which of the following is true about the parabola with the equation y equals negative a left parenthesis x minus b right parenthesis squared plus c ?


    The vertex of the parabola in the x y-plane above is . Which of the following is true about the parabola with the equation y equals negative a left parenthesis x minus b right parenthesis squared plus c ?

    Maths-General
    parallel
    General
    Maths-

    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?

    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?

    Maths-General
    General
    Maths-

    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.

    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.

    Maths-General
    General
    Maths-

    A person invests  Rs10000 for two years at a certain rate of interest compounded annually. At the end of one year, the sum amounts to  Rs12000. Calculate (i). the rate of interest per annum (ii) the amount at the end of the second year

    A person invests  Rs10000 for two years at a certain rate of interest compounded annually. At the end of one year, the sum amounts to  Rs12000. Calculate (i). the rate of interest per annum (ii) the amount at the end of the second year

    Maths-General
    parallel
    General
    Maths-

    A person invests  Rs10000 for two years at a certain rate of interest compounded annually. At the end of one year, this sum amounts to  Rs11200. Calculate (i). the rate of interest per annum (ii) the amount at the end of the second year

    A person invests  Rs10000 for two years at a certain rate of interest compounded annually. At the end of one year, this sum amounts to  Rs11200. Calculate (i). the rate of interest per annum (ii) the amount at the end of the second year

    Maths-General
    General
    Maths-

    Ramesh invests  Rs12800 for three years at the rate of 10% per annum compound interest. Find (i) The sum due to Ramesh at the end of the 1st year

    Ramesh invests  Rs12800 for three years at the rate of 10% per annum compound interest. Find (i) The sum due to Ramesh at the end of the 1st year

    Maths-General
    General
    Maths-

    The Simple interest on a sum of money for 2 years at 4% per annum is   Rs340. Find (i) the sum of Money and (ii) the compound interest on this sum for one year payable half-yearly at the same rate
     

    The Simple interest on a sum of money for 2 years at 4% per annum is   Rs340. Find (i) the sum of Money and (ii) the compound interest on this sum for one year payable half-yearly at the same rate
     

    Maths-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.