Questions on Algebra: Operations with Signed Numbers answered by real tutors!

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Question 1178765: Perform the operation. Give the answer in a + bi form.

−5/8 − i

Click here to see answer by MathLover1(20849) About Me 

Question 1184098: At 8:00, the temperature was 6 degrees Celsius (°C). Three hours later, the temperature was -13°C. By how many degrees Celsius did the temperature change?
Click here to see answer by greenestamps(13198) About Me 

Question 1184322: On any particular day, about 12% of students are absent from school. In a school of 840 students, how many would you expect to be absent on a typical day?
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Question 1184327: Out of a salary of $4500, I kept 1/3 as savings. Out of the remaining money, I spend 50 % on food and 20 % on house rent. How much do I spend on food and house rent?
Click here to see answer by Boreal(15235) About Me 
Question 1184327: Out of a salary of $4500, I kept 1/3 as savings. Out of the remaining money, I spend 50 % on food and 20 % on house rent. How much do I spend on food and house rent?
Click here to see answer by MathTherapy(10551) About Me 
Question 1184327: Out of a salary of $4500, I kept 1/3 as savings. Out of the remaining money, I spend 50 % on food and 20 % on house rent. How much do I spend on food and house rent?
Click here to see answer by ikleyn(52775) About Me 

Question 1184324: A pair of shoes was discounted by 15 %. If the amount of discount was $1,350.00, what was the original price of the shoes?

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Question 1184330: A pair of shoes was discounted by 15 %. If the amount of discount was $1,350.00, what was the original price of the shoes?
Click here to see answer by ikleyn(52775) About Me 

Question 1184329: A student secures 40 % of the maximum marks to pass. He gets 60 marks and fails by 20 marks. Find the maximum marks
Click here to see answer by MathLover1(20849) About Me 
Question 1184329: A student secures 40 % of the maximum marks to pass. He gets 60 marks and fails by 20 marks. Find the maximum marks
Click here to see answer by ikleyn(52775) About Me 

Question 1184653: An ice cream maker decided that ice cream with 8​% butterfat is the best to sell. How many gallons of ice cream with ​6% butterfat should be mixed with ice cream that is ​16% butterfat to make 300 gallons of the desired​ blend?

Click here to see answer by ikleyn(52775) About Me 
Question 1184653: An ice cream maker decided that ice cream with 8​% butterfat is the best to sell. How many gallons of ice cream with ​6% butterfat should be mixed with ice cream that is ​16% butterfat to make 300 gallons of the desired​ blend?

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

Question 1186408: What does "10+" mean?
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Question 1186699: _+(_x_)÷_=4 the numbers are 4, 40, 75 and 15
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Question 1186945: Architect Cristobal made P35,000 during the first year of his job. Each year, he received a 20% raise. What were his total earnings during the first ten years on the job.
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Question 1200270: I woukd like help to solve this(3/4-2/3)+1/2+1/3)
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Question 1200270: I woukd like help to solve this(3/4-2/3)+1/2+1/3)
Click here to see answer by math_tutor2020(3816) About Me 

Question 1201159: PUZZLE CORNER
Enter PIN code
ENTER PIN CODE
O
Albert changed his mobile phone PIN code from 0000 but he has now forgotten it. He remembers that if you multiply it by 4, the answer is the PIN code in reverse.
Can you help him?

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Question 1201973: In survey of 900 workers 600 owned houses,500 owned cars and 345 owned boat,300 owned cars and houses,250 owned houses and boats and 270 owned cars and boats 200 owned the three.find how many workers don't owned any of items, find how many workers owned only two of the items
Click here to see answer by math_tutor2020(3816) About Me 
Question 1201973: In survey of 900 workers 600 owned houses,500 owned cars and 345 owned boat,300 owned cars and houses,250 owned houses and boats and 270 owned cars and boats 200 owned the three.find how many workers don't owned any of items, find how many workers owned only two of the items
Click here to see answer by ikleyn(52775) About Me 

Question 1203013: 1.) X + Y = 48
2.) X - Y = 16
3). X multiplied by Y = 512
4). X divided by Y = 2
Question: X = ?
Y = ?

Click here to see answer by MathLover1(20849) About Me 

Question 1203026: The addition below is incorrect. The display can be made correct by changing one digit d, wherever
it occurs, to another digit e. Find the sum of d and e.
742586
+ 829430
= 1212016
Please help me solve this problem

Click here to see answer by math_helper(2461) About Me 
Question 1203026: The addition below is incorrect. The display can be made correct by changing one digit d, wherever
it occurs, to another digit e. Find the sum of d and e.
742586
+ 829430
= 1212016
Please help me solve this problem

Click here to see answer by greenestamps(13198) About Me 
Question 1203026: The addition below is incorrect. The display can be made correct by changing one digit d, wherever
it occurs, to another digit e. Find the sum of d and e.
742586
+ 829430
= 1212016
Please help me solve this problem

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

Question 1206668: Two pencils and one rubber cost $66; five pencils and three rubbers cost $174. How much does each cost?

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

Question 1206670: A ladder, 5cm long leans against a wall so that it makes an angle of 60° with the horizontal ground. Calculate how far up the wall the ladder reaches.

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Question 1208035: Find the domain, range, and intercepts of the function
A(x) = 4x•sqrt{1 - x^2}. Finally, graph the function.


Click here to see answer by Edwin McCravy(20054) About Me 
Question 1208035: Find the domain, range, and intercepts of the function
A(x) = 4x•sqrt{1 - x^2}. Finally, graph the function.


Click here to see answer by math_tutor2020(3816) About Me 
Question 1208035: Find the domain, range, and intercepts of the function
A(x) = 4x•sqrt{1 - x^2}. Finally, graph the function.


Click here to see answer by mccravyedwin(406) About Me 
Question 1208035: Find the domain, range, and intercepts of the function
A(x) = 4x•sqrt{1 - x^2}. Finally, graph the function.


Click here to see answer by ikleyn(52775) About Me 
Question 1208035: Find the domain, range, and intercepts of the function
A(x) = 4x•sqrt{1 - x^2}. Finally, graph the function.


Click here to see answer by AnlytcPhil(1806) About Me 

Question 1208337: 9b + 15b = 3
Click here to see answer by ikleyn(52775) About Me 

Question 1208781: An iron atom has a mass of 1.79 × 10^−22 grams. A sample of iron has a mass of 9. 129 × 10^−3 grams?
Determine how many atoms are in the sample using scientific notation.
a. 7.339 × 10^−25
b. 7.339 × 10^20
c. 5.1 × 10^19
d. 5.1 × 10^−24

Click here to see answer by Edwin McCravy(20054) About Me 
Question 1208781: An iron atom has a mass of 1.79 × 10^−22 grams. A sample of iron has a mass of 9. 129 × 10^−3 grams?
Determine how many atoms are in the sample using scientific notation.
a. 7.339 × 10^−25
b. 7.339 × 10^20
c. 5.1 × 10^19
d. 5.1 × 10^−24

Click here to see answer by math_tutor2020(3816) About Me 
Question 1208781: An iron atom has a mass of 1.79 × 10^−22 grams. A sample of iron has a mass of 9. 129 × 10^−3 grams?
Determine how many atoms are in the sample using scientific notation.
a. 7.339 × 10^−25
b. 7.339 × 10^20
c. 5.1 × 10^19
d. 5.1 × 10^−24

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

Question 1208990: A 5-horsepower (hp) pump can empty a pool in 5 hours.A smaller, 2-hp pump
empties the same pool in 8 hours. The pumps are used together to begin emptying
this pool.After two hours, the 2-hp pump breaks down. How long will it take the
larger pump to empty the pool?
Let hp = horsepower
5hp = 1/5
2hp = 1/8
Let t = time in hours
1/t = time it takes larger pump to empty the pool
My equation is:
(1/5) + (1/8) = 1/t
Is this correct?

Click here to see answer by ikleyn(52775) About Me 
Question 1208990: A 5-horsepower (hp) pump can empty a pool in 5 hours.A smaller, 2-hp pump
empties the same pool in 8 hours. The pumps are used together to begin emptying
this pool.After two hours, the 2-hp pump breaks down. How long will it take the
larger pump to empty the pool?
Let hp = horsepower
5hp = 1/5
2hp = 1/8
Let t = time in hours
1/t = time it takes larger pump to empty the pool
My equation is:
(1/5) + (1/8) = 1/t
Is this correct?

Click here to see answer by MathTherapy(10551) About Me 
Question 1208990: A 5-horsepower (hp) pump can empty a pool in 5 hours.A smaller, 2-hp pump
empties the same pool in 8 hours. The pumps are used together to begin emptying
this pool.After two hours, the 2-hp pump breaks down. How long will it take the
larger pump to empty the pool?
Let hp = horsepower
5hp = 1/5
2hp = 1/8
Let t = time in hours
1/t = time it takes larger pump to empty the pool
My equation is:
(1/5) + (1/8) = 1/t
Is this correct?

Click here to see answer by AnlytcPhil(1806) About Me 
Question 1208990: A 5-horsepower (hp) pump can empty a pool in 5 hours.A smaller, 2-hp pump
empties the same pool in 8 hours. The pumps are used together to begin emptying
this pool.After two hours, the 2-hp pump breaks down. How long will it take the
larger pump to empty the pool?
Let hp = horsepower
5hp = 1/5
2hp = 1/8
Let t = time in hours
1/t = time it takes larger pump to empty the pool
My equation is:
(1/5) + (1/8) = 1/t
Is this correct?

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

Question 1209841: 10x^2-9xy+2y2=0
Click here to see answer by ikleyn(52775) About Me 

Question 1170863: A famous restaurant chain decided to open three new branches in your city: one in downtown area (DT), one in a residential area (RA), and one in a touristic area (TA). All branches will open daily from 12pm to 10pm. According to a study done by the analyst team, the minimum number of employees needed in each branch at each hour is shown in table 1.
Table 1
Time Branch 1 (DT) Branch 2 (RA) Branch 3 (TA)
12pm-1pm 12 9 5
1pm-2pm 12 9 5
2pm-3pm 11 8 6
3pm-4pm 9 8 6
4pm-5pm 7 9 8
5pm-6pm 6 10 8
6pm-7pm 6 10 10
7pm-8pm 5 11 12
8pm-9pm 5 9 12
9pm-10pm 4 7 10
The restaurant chain management offered three types of jobs to hire employees for the three new branches: 2- hours part timers, 4-hours part timers, 8-hours full timers. The 2-hours part timers are only available to work after 4pm.
The average cost per employee hour is different for each type and each branch (Cost includes salaries, insurance, transportation, etc.). Table 2 shows the average cost per employee hour ($/hour) for each branch.
Table 2
Employee type Branch 1 Branch 2 Branch 3
A (2-hours) 16 10.5 12
B (4-hours) 14 9.5 11
C (8-hours) 12 8 9
The number of applicants who applied for each type of jobs is 30 for the 2-hours part time jobs, 35 for the 4-hours part time jobs, and 15 for the full-time jobs. All applicants agreed to work in any of the new branches if hired.
The restaurant chain management has a policy that there should be at least one full time employee available at each branch when the branch closes at the end of the day.
Your team was chosen by the restaurant chain management to consult them to find the best action for this case. The type of analysis that they are looking for is:
1- What would be the number of employees required from each type (i.e. 2-hour part timers, 4-hours part timers, and 8-hours full timers) in each branch that will minimize the total daily cost? What would be the daily cost in each branch in this case?
2- How many extra employee hours will be available in each branch at each hour after the required hours are fulfilled?
3- How much could the company saves daily if five more full-time employees were available to hire?
4- Which branch costs the most for satisfying the policy of having one full time employee available at the end of the day?

Click here to see answer by CPhill(1959) About Me