Questions on Word Problems: Evaluation, Substitution answered by real tutors!

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Question 993309: Part of $8,000 was invested by an investment club at 10% interest and the rest at 12%. If the annual interest income from these investments is $900, how much was invested at each rate?
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Question 993543: A manufacturer od automobile water pumps is considering retooling for one or two manufacturing processes, with monthly fixed costs and unit costs as indicated in the table. Each water pump can be sold for $50.
Process A:
Fixed Costs: $12,390
Unit Cost: $29
Process B:
Fixed Costs: $20,460
Unit Cost: $17
A. How many water pumps should be sold per month for the manufacturer to break even if process A is used to produce the pumps?
B. How many water pumps should be sold per month for the manufacturer to break even if process B is used to produce the pumps?
(Hint: To break even, revenue=costs)
C. If expected sales are $50 water pumps per month, which process should be used?
Click here to see answer by solver91311(24713)

Question 993546: A manufacturer od automobile water pumps is considering retooling for one or two manufacturing processes, with monthly fixed costs and unit costs as indicated in the table. Each water pump can be sold for $50.
Process A:
Fixed Costs: $12,390
Unit Cost: $29
Process B:
Fixed Costs: $20,460
Unit Cost: $17
A. How many water pumps should be sold per month for the manufacturer to break even if process A is used to produce the pumps?
B. How many water pumps should be sold per month for the manufacturer to break even if process B is used to produce the pumps?
(Hint: To break even, revenue=costs)
C. If expected sales are $50 water pumps per month, which process should be used?
Click here to see answer by solver91311(24713)

Question 995198: 6 more than one fourth of a number is two fifths of the number. Find the number.
Click here to see answer by Boreal(15235)

Question 995383: A salmon fillet initially at 50 F is cooked in an oven at a constant temperature of 400 F. After ten minutes, the temperature of the filet rises to 160 F. How long does it take until the salmon is medium rare at 220 F
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Question 995704: A tent is 3 meters high at the center. A rope 6 meters long comes to the top of the tent and is fastened to the ground. How far from the center of the tent is the rope fastened?
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Question 996743: Write an expression that describes the pattern shown between the x and y values of the following points: (1, 3.5), (2, 4), (3, 4.5), (4, 5)
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Question 996777: Every human has blood type A, B, O or AB. 1/10 have type B and 23/50 have type O.

What is the probability that someone has blood type A or AB?
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Question 997084: Find two consecutive positive odd integers whose sum is 76.
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Question 997083: Find two consecutive positive odd integers whose sum is 76.
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Question 997872: When each of three numbers is added to twice the sum of the other two, the results are 64, 62 and 59. Determine the numbers (algebraically).
I have come up with the equations:
a+2(b+c)=64
b+2(a+c)=62
c+2(b+a)=59
I am unsure of how to further solve for the unknown values.
Click here to see answer by solver91311(24713)

Question 997998: Peter sold watches ($7) and necklaces ($4) at a flea market. Total sales were $300. People bought 3 times as many watches as necklaces. How many of each did Peter sell? What were the total dollar sales of each?
Click here to see answer by josgarithmetic(39617)

Question 998734: Sarah is twice as old as her youngest brother. If the difference between their ages is 15 years, how old is her youngest brother?

Click here to see answer by stanbon(75887)

Question 999543: Please help me answer this question.Two angles are complementary.The measure of one angle is 22� more than the measure of the other angle. Find the measures of each angle.Thank you for your help!

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Question 999780: Tickets to DC'S Mr.DCHS are $3per student and $5 per adult.The number of adult tickets sold was 195 more than the number of student tickets. If DCHS collected $3943 for the tickets, how many tickets were sold to students? How many were sold to adults?
Click here to see answer by macston(5194)

Question 1000087: What is the largest multiple of 9 whose negation is greater than -100?
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Question 1000471: What number of 10� coins is equivalent in value to $13.00

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Question 1002663: 1. 2(2x)+2x=120 solve for x
2. 4x*x=576 solve for x
3. -5(x-8)=x+28 solve for x
Click here to see answer by Cromlix(4381)

Question 1003022: What is the answer to this equation?
15 x 2 + 28 devided by 7- 9
Click here to see answer by Alan3354(69443)

Question 1003537: Certain drugs are eliminated from the bloodstream at an exponential rate. Doctors and pharmacists need to know how long it takes for a drug to reach a certain level to determine how often patients should take medications. Answer the following questions about this situation.
Write an exponential model for the following situation. The drug dosage is 500 mg. The drug is eliminated at a rate of 5.2% per hour. Use D = the amount of the drug in milligrams and t = time in hours.
How much of the drug is left after 6 hours? Round to the nearest milligram.

Click here to see answer by josgarithmetic(39617)

Question 1003739: A nurse must be careful not to inject a drug too quickly into a patient�s IV. If the drug is injected at the maximum rate of 0.1 cc per second, and the total amount to be injected is 30 cc,
a. Create an equation that tells the amount injected as a function of time (in seconds);
b. Determine the time required to complete the injection.
Click here to see answer by josmiceli(19441)

Question 1004078: The concentration of a drug (in milligrams per liter) in a medical pateitsn bloodstream is given by the forumla
C(t)= 8/t^2 +2
Where t is the time in hours after the drug is given. How long will it take for a patient to have 1.5 milligrams per liter of a drug in their system?
Click here to see answer by josgarithmetic(39617)

Question 1004275: The area of a circle is directly proportional to the square of its radius. The area of a circle whose diameter is 40 cm is 1256 sq cm. What is the area of a circle whose diameter is 20 cm? 10 cm? 12 cm? 30 cm?
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Question 1004223: The sum of a number,1/6 of that number,2 1/2, and 7 is 12 1/2. Find the number
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Question 1005265: A test contains 200 multiple choice questions. The marking rule is designed such that 2 marks are awarded for each correct answer and 1 mark deducted for each wrong answer. If there are N questions answered correctly by a student, find their final score in terms of N.
Thanks!
Click here to see answer by macston(5194)

Question 1004705: twice a first number decreased by a second number is -2. The first number increased by four times the second number is 35. Find the numbers.
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Question 1006062: I think of a number subtract 5 and then divide by 3 if the result is 6 what was the original number?
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Question 1006469: A bag contains some silver balls and golden balls. If you remove one silver ball from the bag, 1/7 of the remaining balls in the bag are silver. If you remove 2 GOLDEN balls from the bag, 1/5 of the remaining balls in the bag are silver. How many balls are there in the bag at first?
Please have a clear explanation, thanks!
Click here to see answer by ikleyn(52782)

Question 1006659: The local middle school had a concert to raise money. Tickets were $6.00 for adults and $4.00 for children. The committee figured there were 480 in attendance and that $2340.00 was raised. How many adults and how many children attended?
Click here to see answer by Ani_g(8)

Question 1007145: Q18. The function f(x) = 1 + 1.6 ln (x+1) models the average number of free-throws a basketball player can make consecutively during practice as a function of time, where x is the number of consecutive days the basketball player has practiced for two hours. After how many days of practice can the basketball player make an average of 6 consecutive free throws?
a. 24 days
b. 80 days
c. 22 days
d. 78 days
Click here to see answer by fractalier(6550)

Question 1007697: I need help solving this word problem using elimination instead of substitution. The sum of two numbers is 38 and their difference is 16. find each number. all I figured out was my two equations. x+y=38 and x-y=16
Click here to see answer by josgarithmetic(39617)

Question 1008543: Matt wants to call his mother long distance. The rate is 80 cents for the first three minutes and 20 cents for each additional minute. How long can he talk for $3.00?
Click here to see answer by stanbon(75887)

Question 1009122: If 9-5x=12-(6x+7),evaluate x^-3x-2
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Question 1009130: translate "the sum of a number and two more than the number" into a variable expression.then simplify
Click here to see answer by MathLover1(20850)

Question 1009132: find two consecutive even integers such that three times the first equals twice the second
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Question 1010157: 3 apples and a pineapple equally balances 10 oranges.also,6 oranges and an apple equally balance a pineapple.how many oranges balance a pineapple?
Click here to see answer by josgarithmetic(39617)

Question 1010260: This is about word problems, Mrs. Carey cashed a $600 check in her bank. She received a five dollar bill this is about word problems, Mrs. Carey cashed a $600 check in her bank. She received a $5 bills and $10 bills. The number of $10 bills was 10 less than three times the number of $5 bills. How many bills of each type did Mrs. Carey receive?
Click here to see answer by fractalier(6550)

Question 1010708: the perimeter of a rectangle is 66 meters. the width of the rectangle is 9 meteres less than the length. find the length and width of the rectangle

Click here to see answer by It is costly(175)

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