Questions on Algebra: Inequalities, trichotomy answered by real tutors!

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Question 1106874: You have an allowance of $15.00 per week. You are in a bowling league that costs $6.50 each week,and you save at least $5.00 each week. Write and solve an inequality to show how much you have left to spend each week
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Question 1106901: solve the inequality. give the result in set notation and graph it 4<-z-4<11
would appreciate some kindly heplp

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Question 1107610: Please help. I'm trying to solve and graph the inequality.
I'm confused on it because the b is negative. I don't think it can be graphed. Here's what I have. Can you please tell me if I'm correct.
-8-b less than equal to -8
-8+8-b less than equal to -8+8
-b less than equal to 0

Thank you.

Click here to see answer by jim_thompson5910(35256) About Me 
Question 1107610: Please help. I'm trying to solve and graph the inequality.
I'm confused on it because the b is negative. I don't think it can be graphed. Here's what I have. Can you please tell me if I'm correct.
-8-b less than equal to -8
-8+8-b less than equal to -8+8
-b less than equal to 0

Thank you.

Click here to see answer by Theo(13342) About Me 

Question 1107623: Sunshine Equipment Co. rents its power tools for a $20 fee, plus $4.50/hr. Kenny’s Rentals offers the same tools for an $11 fee plus $6.00/hr. How many hours h must a tool be rented to make the cost at Kenny’s a better deal?

Click here to see answer by Boreal(15235) About Me 

Question 1107766: pleasw help me solve this. give the constraints and inequality of the problem below.mrs peralta needs to buy chairs and desks. a chair costs 120 and a desk costs 360.let x and y be the number of chairs and desks respectively. the budget is less than 16000. there are at least 50 chairs and at there are most 10 desks. graph and give three possible feasible solutions
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Question 1107766: pleasw help me solve this. give the constraints and inequality of the problem below.mrs peralta needs to buy chairs and desks. a chair costs 120 and a desk costs 360.let x and y be the number of chairs and desks respectively. the budget is less than 16000. there are at least 50 chairs and at there are most 10 desks. graph and give three possible feasible solutions
Click here to see answer by stanbon(75887) About Me 

Question 1107776: A yo-yo factory has fixed operating costs of $575,000 per year. In addition to the fixed costs, the cost to produce one yo-yo is $1.30. The yo-yo company sells the yo-yos to a distributor for $5.75 each. How many yo-yos must be sold in a year to earn a profit of at least $140,000?
Enter a whole number of yo-yos.
At least__________yo-yos

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Question 1107775: A rental car company charges $104 per week and $0.2 per mile or $54 per week and $0.3 per mile. How many miles per week must a customer drive to make the first option the equivalent or better choice?
Enter the answer as an integer.

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Question 1108223: Solve for x
-18 < 9x

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Question 1108270: If a presidential candidate is 42 votes ahead of his opponent before the votes for the state of California are added, what absolute value equation would represent the margin of votes between the candidate and his opponent after California’s 55 votes are cast?
Click here to see answer by Theo(13342) About Me 

Question 1108315: I need help please. The question says solve and check the inequality, if possible. |8m+4|<12..I have the following. Is is correct that I need to find two solutions.
8m+4>-12 8m+4<12
8m+4-4>-12-4 8m+4-4<12-4
8m/8>-16/8 8m<8
m>-2 8m/8<8/8
m<1
check:
8m+4>-12 check:
8(2)+4>-12 8m+4<12
16+4>-12 8(1)+4<12
20>-12 12<12
correct not correct
Am I even close to doing this correctly? Thank you

Click here to see answer by ikleyn(52775) About Me 

Question 1108455: Is the following true or false, if false, the second portion needs corrected. if -4<-2t+6<10, then 2>t+6>-5. I think it is true, but I'm a little confused. Thank you

Click here to see answer by Alan3354(69443) About Me 

Question 1108475: What is p is within 0.0005 units in 3
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Question 1108475: What is p is within 0.0005 units in 3
Click here to see answer by math_helper(2461) About Me 

Question 1108768: . Shureka Washburn has scores of 72, 67, 82, and 79 on
her algebra tests.
a. Use an inequality to find the scores she must make
on the final exam to pass the course with an
average of 77 or higher, given that the final exam
counts as two tests

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Question 1108996: which of the following are solutions to the inequality c ≥ 6?

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Question 1109244: https://imgur.com/a/H4UUq
The original statement was an OR statement, which lead me to conclude then that I inverted/negated ALL statements. Namely,
x>= -1 AND x<1
as opposed to
x<=-1 OR x>1
And that it was on that basis that I selected the final answer (which has been identified as being wrong). Where did I go wrong?
I then thought perhaps the answer was the 1st one by virtue of the fact that it also had an "and" statement contained within it, but I must confess to being baffled now. :(
Why do the 2nd and 3rd answers not include the word AND? Is there a significance?
I thought that to negate an equality sign, you merely flipped it. > becomes <, and <= becomes >=.
The correct answer was the 2nd answer, which my reading of it means that:
"x is less than -1 AND x is less than or equal to 1."
Going with my (flawed I assume) logic above of merely flipping the equality operators I thought this would have actually have been
x is less than or equal to -1 AND X is greater than 1"

Click here to see answer by Theo(13342) About Me 

Question 1109196: -3y>=-6 or 4y+5<29
Write solution as interval notation

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Question 1109362: Abdul is serving his child French fries and chicken wings for lunch. Let “F” be the number of French fries in the lunch, and let “C” be the number of chicken wings. Each French fry had 25 calories, and each chicken wing had 110 calories.
Abdul wants the total calorie count from the French fries and chicken wings to be at most 500 calories. Using the values and variables given, write an inequality describing this.

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Question 1109559: following an accident, jeff's Ford pickup was replaced by his insurance company because the damage was so extensive. before the damage, the blue book value of the truck was $21000. how much would it have cost to repair the truck?
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Question 1109633: 1/5 X + 1/2 X - 1/3 (X+5) <= 1/10
Please Help!

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Question 1109656: Please help me solve this equation (7/8)x-12=-75
I got -72 as an answer and I don't know if it's right or not.

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Question 1109909: Clintonville Landscapers (CL) Charges a delivery fee of $30 regardless of the amount of mulch delivered within a 20mile radius. The cost of Absolute Black Ultra mulch is $39.99 per cubic yard at CL. Oregonia Nursery is having a special and charges $28.49 for the same mulch, but their delivery charge is $50 per transaction. For how many cubic yards is buying mulch from Oregonia Nursery cheaper? Round your answer to the nearest tenth.
So, that is the question. I know how to solve an inequality such as a flat rate + $ per mile (as an example) with only a certain dollar amount I'm able to spend. Not sure how to approach this one though.

Click here to see answer by Theo(13342) About Me 

Question 1109973: Steps to Solving One Step Equations
1. Combine like terms and simplify the problem as much as possible.
2. Determine what is happening to the ________ (the letter or symbol that represents the unknown value). I answered variable for the blank.
3. You must undo what has been done to the variable by doing the _______ operation. I answered inverse in the blank.
4. To determine what operation to undo first you follow ___________PEMDAS. I answered order of operations in the blank.
5. This means you must first undo all ___________ and ____________ before you undo _________ and _________.
Not sure what to put in the 4 blanks for question 5. Thank you!

Click here to see answer by stanbon(75887) About Me 

Question 1110014: describe the relationship between the length and the area in the interval 1 less than or equal to l less than or equal to 11
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Question 1110384: The sum of the lengths of any two sides of a triangle must be greater than the third side. If a triangle has a side that is 20 cm and a second that is 4 cm less than twice the third side, what are the possible lengths for the second and third side?
Click here to see answer by greenestamps(13198) About Me 

Question 1110585: Each of the following temperature ranges is in degrees Fahrenheit. Use the formula F=9/5C+32 to find the corresponding temperature range in degrees Celsius (using interval notation and assume inclusion).
a.below 23∘
b.above 41∘
c.below 14∘
d.above 32∘


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Question 1110642: Chris can be paid in one of two ways. Plan A is a salary of ​$360 per​ month, plus a commission of 8​% of sales. Plan B is a salary of ​$740 per​ month, plus a commission of 3​% of sales. For what amount of sales is Chris better off selecting plan​ A?
Chris should select plan A for sales greater than ​$___. Please help! I get so confused with these and I often don't know how to finish them. Thank you!

Click here to see answer by stanbon(75887) About Me 

Question 1110650: If a bond is worth $2490.00 what is it worth if it decreases by 33-1/3%
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Question 1110672: Let ​f(x)=10−3x and ​g(x)=2x−5. Find all values of x for which ​f(x)≤​g(x).
Graph ​f(x)=10−3x and ​g(x)=2x−5. Use the graphing tool to graph the functions. I have to graph this and I keep getting it wrong.

Click here to see answer by josgarithmetic(39616) About Me 

Question 1110750: If s^3*t^4*u^3*w > 0 and w < 0 , which of the following must be true?
1)s > 0
2)u < 0
3)su > 0
4)su < 0
5)t > 0

Click here to see answer by mananth(16946) About Me 
Question 1110750: If s^3*t^4*u^3*w > 0 and w < 0 , which of the following must be true?
1)s > 0
2)u < 0
3)su > 0
4)su < 0
5)t > 0

Click here to see answer by greenestamps(13198) About Me 

Question 1110903: -3x greater than 3
Click here to see answer by ikleyn(52775) About Me 

Question 1110942: Brenda is a rodeo clown who is paid$50 per week plaid 3% of the total ticket sales for her performances. This week she wants to earn at least $100 written an inequality for the total ticket sales needed for Brenda to earn her goal

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Question 1111090: Katy invests a total of $24,000 in two accounts paying 7% and 13% simple interest, respectively. How much was invested in each account if, after one year, the total interest was $2,790.00.
A) Enter an equation that uses the information as it is given that can be used to solve this problem. Use
x
as your variable to represent the amount of money invested in the account paying 7% simple interest.
Equation:

B) The answers are:
$
was invested at 7% and
$
was invested at 13%.

Click here to see answer by stanbon(75887) About Me 
Question 1111090: Katy invests a total of $24,000 in two accounts paying 7% and 13% simple interest, respectively. How much was invested in each account if, after one year, the total interest was $2,790.00.
A) Enter an equation that uses the information as it is given that can be used to solve this problem. Use
x
as your variable to represent the amount of money invested in the account paying 7% simple interest.
Equation:

B) The answers are:
$
was invested at 7% and
$
was invested at 13%.

Click here to see answer by mananth(16946) About Me 
Question 1111090: Katy invests a total of $24,000 in two accounts paying 7% and 13% simple interest, respectively. How much was invested in each account if, after one year, the total interest was $2,790.00.
A) Enter an equation that uses the information as it is given that can be used to solve this problem. Use
x
as your variable to represent the amount of money invested in the account paying 7% simple interest.
Equation:

B) The answers are:
$
was invested at 7% and
$
was invested at 13%.

Click here to see answer by ikleyn(52775) About Me 

Question 1111458: you want to see if there's a way to spend less money on dune buggy rentals. Recall that your current rental car company go beach go charges 29.95 plus 16 cents per mile. nearby are two other companies sunny buggies which charges 72 per day with unlimited free mileage and plava buggies which has no daily fee and charges 45 cents per mile
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Question 1111753: It costs $12.50 to enter an amusement park and $1.50 to play each game. Solve an inequality to find the number of games, g, Cole can play if he has $35 to spend at the park.

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Question 1111749: A company produces alarm clocks. During the regular​ workweek, the labor cost for producing one clock is ​$2
.00.
​However, if a clock is produced on​ overtime, the labor cost is ​$3
.00.
Management has decided to spend no more than a total of ​$23 comma 000

per week for labor. The company must produce 10 comma 000

clocks this week. What is the minimum number of clocks that must be produced during the regular​ workweek?

Click here to see answer by Alan3354(69443) About Me 
Question 1111749: A company produces alarm clocks. During the regular​ workweek, the labor cost for producing one clock is ​$2
.00.
​However, if a clock is produced on​ overtime, the labor cost is ​$3
.00.
Management has decided to spend no more than a total of ​$23 comma 000

per week for labor. The company must produce 10 comma 000

clocks this week. What is the minimum number of clocks that must be produced during the regular​ workweek?

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Question 1111919: 6z^2 + 15z - 8 ≤ 0
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Question 1111919: 6z^2 + 15z - 8 ≤ 0
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Question 1112132: Draw the feasible region surrounded by
y ≥ 0
x + y ≤ 8
x ≥ 3
y ≥ 2/3x

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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205