Two rival cleaning companies charge to dust houses. Captain Dustsalot charges $20 per house call plus $12 per room, and Dedusters charges $30 per house call plus $10 per room. Abigail wants to know how many rooms she must get dusted so that Captain Dustsalot is more expensive than Dedusters. Which inequality should she use to figure this out if represents the number of rooms she gets dusted? 20+12x<30+10x 20+12x>30+10x ) 20x+12<30x+10 ) 20x+12>30x+10

Q: Explain what is unusual about the solution set of the inequality.x2 − 8x + 16 &gt; 0

A: The given inequality is: x2 − 8x + 16 &gt; 0 To solve this inequality, factorize the expression x2 −…

Q: Victoria is working two summer jobs, making $6 per hour walking dogs and $11 per hour clearing…

A: We have given Victoria earning.i.e. She makes $6 per hour walking dogs  and $11 per hour for…

Q: Sarah is working two summer jobs, making $7 per hour babysitting and $20 per hour lifeguarding.…

A: Number of hours of baby sitting=b Number of hours of lifeguarding=l Rate of baby sitting =$7 per…

Q: Joshua and his children went into a grocery store and will buy bananas and peaches. Each banana…

A:

Q: Graph the solution set of the inequality x - 2y &lt; 8

A:

Q: Marsha has budgeted no more than $30,000 on centerpieces. Which inequality represents all possible…

A:

Q: Cameron needs to order some new supplies for the restaurant where he works. The restaurant needs at…

A: Given: A restaurant needs atl least 598 spoons . there are currently 194 spoons . if each set on…

Q: Savannah gets a gift card with a value of $75, and her favorite drink (a plain black coffee) costs…

A:

Q: Explain why the inequality x2 - x + 1 &lt; 0 has the empty set as the solution set

A: Given inequality: x2-x+1&lt;0

Q: You want to purchase a cell phone for $325.75 including tax. You have already saved $115 and can…

A: The cost of cell phone= $325.75 Amount already save = $115 And amount want to save per week = $22…

Q: A shipping container will be used to transport several 50-kilogram crates across the country by…

A: Given data from problem, Weight of each crates 50 kg Load capacity of container 24000 kg Loaded…

Q: translate into inequality use x as variable  Four times the sum of a number and 25 is at most 2

A: Use 'x' as variable.

Q: A local massage company offers a membership, which means a member pays a $150 fee to join and $45…

A:

Q: Sam's Gym charges a one-time fee of $60 plus $32 per session for a personal trainer. A new gym in…

A:

Q: Translate the sentence into an inequality. Two times the sum of a number and 25 is at most 18. Use…

A: Two times the sum of a number and 25 is at most 18. Let the number is x

Q: Linda is going to rent a truck for one day. There are two companies she can choose from, and they…

A:

Q: What is the solution set of the inequality x² + 3x – 10 > 8? - (1) {x|-6 3} (3) {x|–3 6}

A: To simplify an inequality, we can add (or subtract) a number to both sides of the inequality, and…

Q: Give a step-by-step description of how you would solve the inequality -3 &gt; 5 - 2x.

A: Given inequality is: -3 &gt; 5 - 2x We have to give a step-by-step description to solve this…

Q: Hertz car rental charges $50 plus $35 each day. Gabby can spend at most $260. Which inequality…

A: Given that Hertz car rental charges are $50 and $35 each day Gabby has $260 to spend write the…

Q: Find the solution set of the inequality |x + 5| > -7.

A: Given Data: Inequality: x+5&gt;-7 In the given inequality, the number right side of inequality is…

Q: A group of friends wants to go to the amusement park. They have no more than $110 to spend on…

A: A group of friends that wants to go to the amusement park has $110 for spending on parking and…

Q: Write two different inequalities that have the solution graphed on the number line below. -2 -1 1 2…

A:

Q: Under his cell phone plan, Gabriel pays a flat cost of $52.50 per month and $5 per gigabyte. He…

A: Under his cell phone plan Gabriel pays a flat cost of $52.50 per month and $5 per gigabyte. He wants…

Q: A shipping container will be used to transport several 40-kilogram crates across the country by…

A: Let the number of 40 kg crates that are loaded be 'x'The maximum weight that can be loaded in the…

Q: determine whether the values are solutions to the compounded inequality x + 2&lt;7 or 2x-3&gt;3…

A: To find: -

Q: The University of Central Florida’s cheerleading team has eighteen males and twenty-one females. If…

A: The University of Central Florida’s cheerleading team has eighteen males and twenty-one females. If…

Q: An online furniture store sells chairs for $100 each and tables for $450 each. Every day, the store…

A: NOTE: Refresh your page if you can't see any equations. . x= number of chairs y= number of tables

Q: Yolanda is shopping for a used car in a city where tax is 9% and title license fee is 280.  There is…

A: Let Yolanda can spent maximum of Y .then  y ≤ 7365Let y = x + x×9% +280 = Total cost including…

Q: Graph the solution set to the inequality. a. 3x + 4y≤ 8 b. 3x + 4y&gt;8

A: a)To graph the inequality

Q: Gavin owns a food truck that sells tacos and burritos. He only has enough ingredients to make 94…

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Q: A shipping container will be used to transport several 40-kilogram crates across the country by…

A:

Q: Jamie is buying 5 digital movies and he wants his total cost to be no more than $4 above or below…

A:

Q: Jill wants to make a blend of mango and papaya juices and store it in a container that can hold no…

A: Given-  Number of mango = m  Number of papaya = p   The limit of juices should be less than or equal…

Q: Tyrone wants to spend at most $10,000 on two televisions, R and S. Each television must cost at…

A: The maximum money that Tyrone can spend on two televisions, R and S is  = $10,000 The cost of each…

Q: A rental car company charges 22.15 per day to rent a car and 0.07 for every mile driven. Aubrey…

A: we have to find

Q: A shipping container will be used to transport several 40-kilogram crates across the country by…

A:

Q: Frank was planning a 10-week bike riding trip through Europe. • He planned on taking $1,500 with him…

A: Trip amount

Q: the

A:

Q: To mail an envelope first class, the U.S. Post Office charges $0.33 for the first ounce and $0.23…

A:

Q: The lotal number of students who could attend a field trip is represented by the variable t. The…

A: Let, Number of students in group A be 'A' Number of students in group B be 'B' Total students = t…

Q: Keith is going to rent a truck for one day. There are two companies he can choose from, and they…

A: We first make a relation between charges of company and mile driven, then use inequality as given in…

Q: Your brother has $2,000 saved for a vacation. His airplane ticket is $637. Write and solve an…

A: Let $ Z be the amount he can spend for everything else.

Q: Two rival cleaning companies charge to dust houses. Captain Dustsalot charges $20 per house call…

A:

Q: A shipping container will be used to transport several 40-kilogram crates across the country by…

A:

Q: Feature Kelly is going two work two part-time jobs during the school year. When she works for her…

A:

Q: Graph the solution set of the inequality-4x+4 < 12 -5 -4 -3 -2 -1 0 4 Clear All Draw: If

A: Given inequality is  -4x+4 ≤ 12

Q: Kimberly had $80. She wants to purchase school bag for $16 and as many pairs of shoes as she can.…

A: To write the inequality for number of school shoes.

Q: John is enclosing a triangular pen with wire fencing. Two sides of the pen measure 14 feet and 8…

A: Given,          John is enclosing  a triangular pen with wire fencing. Two sides of the pen measure…

Q: A taxi cab charges a Php17.5 flat rate in addition to Php15 per mile. Katie has no more than Php100…

A: A taxi cab charges a Php17.5 flat rate in addition to Php15 per mile. Katie has no more than Php100…

Q: Adam is building a rectangular swimming pool. The perimeter of the pool must be no more than 120…

A: