Tutors Answer Your Questions about Evaluation Word Problems (FREE)
Question 1185401: Shreya is very interested in cryogenics (the science of very low temperatures). With the help of her science teacher she is doing an experiment on the effect of low temperatures on bacteria. She cools one sample of bacteria to a temperature of -51°C, another to -45oC, a third to -81oC, and finally another to -76°C. What was the temperature difference in the two coldest experiments? Each experiment began with 12 individual bacteria, and the strain of cold resistant bacteria she was testing stopped growing at -47oC, and they doubled each minute. Further, the bacteria started to die off at 75oC, losing ⅓ of the colony each minute. How many bacteria will Shreya have at the end of the third experiment if she began the experiment at 13oC, and it takes 15 seconds to increase or decrease the temperature by 1 degree?
Click here to see answer by CPhill(1959)   |
Question 1196669: DATA LINK: https://imagizer.imageshack.com/img924/7537/If85YO.png
https://imagizer.imageshack.com/img922/9241/hUOEdV.png
Is economic growth in the developing world related to growth in the industrialized countries? A scatterplot of the growth (in % of Gross Domestic Product) of the least developed countries (as classified by the UN) vs. the growth of a number of industrialized countries is provided. Each point represents a year from the past few decades. The output of a regression analysis is also provided. Complete parts a through c below.
Click here to see answer by ElectricPavlov(122) |
Question 1205323: Siti has RM450000 in her ASB. She wants to invest in Gading Mutual deposit, Maju
Makmur bar gold, Indah certificate deposit and Selamat Maju bar gold which pay
simple annual interest of 9%, 6%, 10% and 15%, respectively. Moreover, she wants
to combine annual return of 8% and want to have only one-third of investment in
Indah certificate deposit and Selamat Maju bar gold.
a. Write the linear model system equation for the whole investment.
c. Use elimination method to find each of the investment
Click here to see answer by CPhill(1959) |
Question 1209141: Carly just opened her own nail salon. Based on experience, she knows that her daily profit, P, in dollars, can be modelled by the relation P=-15x^2+240x-640, where x is number of clients per day. How many clients should she book each day to maximize her profit?
Click here to see answer by ikleyn(52751)  |
Question 1208966: the numbers on the houses on the north side of carlito street are consecutive odd starting with 1. The plastic digits used to label each house are $0.04 per digit. If it costs $58.12 to label all the houses on the north side of Carlito street, how many houses are there?
Click here to see answer by Alan3354(69443)  |
Question 1208966: the numbers on the houses on the north side of carlito street are consecutive odd starting with 1. The plastic digits used to label each house are $0.04 per digit. If it costs $58.12 to label all the houses on the north side of Carlito street, how many houses are there?
Click here to see answer by mccravyedwin(405)  |
Question 1208966: the numbers on the houses on the north side of carlito street are consecutive odd starting with 1. The plastic digits used to label each house are $0.04 per digit. If it costs $58.12 to label all the houses on the north side of Carlito street, how many houses are there?
Click here to see answer by ikleyn(52751) |
Question 1207297: Xavier works in an amusement park and is helping decorate it with strands of lights. This morning, he used a total of 28 strands of lights to decorate 4 bushes and 1 tree. This afternoon, he strung lights on 3 bushes and 1 tree, using a total of 24 strands. Assuming that all bushes are decorated one way and all trees are decorated another, how many strands did Xavier use on each
Click here to see answer by ikleyn(52751) |
Question 1207277: DR stein bought 30 notebooks 60 pencils and 300 erasers to make identical packages with some notebooks some pencils and some erasers for his students he used everything bought and every student got a package. what is the greatest number of students in Dr stein can have in his class?
Click here to see answer by MathLover1(20849)  |
Question 1206112: In a mixture of copper, tin, and lead, one half of the whole, minus 16 lb, was copper; one third of the whole, minus 12 lb, was tin, and one fourth of the whole, plus 4 lb, was lead: how much did the whole mixture weigh?
Click here to see answer by josgarithmetic(39613) |
Question 1205729: A cruise ship had 3 times as many adult passengers as child passengers when it left its first port. At a new port, 116 adults and 50 children boarded the ship. There are now 1,216 more adults than children on the ship. How many children were on the ship at first?
Click here to see answer by josgarithmetic(39613) |
Question 1205729: A cruise ship had 3 times as many adult passengers as child passengers when it left its first port. At a new port, 116 adults and 50 children boarded the ship. There are now 1,216 more adults than children on the ship. How many children were on the ship at first?
Click here to see answer by greenestamps(13195)  |
Question 1205729: A cruise ship had 3 times as many adult passengers as child passengers when it left its first port. At a new port, 116 adults and 50 children boarded the ship. There are now 1,216 more adults than children on the ship. How many children were on the ship at first?
Click here to see answer by MathLover1(20849) |
Question 1205305: A farmer has fenced off his trapezoidal housing area, which is shown in the diagram. There is a post at each of the point A and B, to which the farmer sometimes attaches a 30m rope that is tied to his donkey. This provides the donkey either one of two grazing areas outside the housing area. Find the difference in the areas available for grazing in square meters (m^2)
Click here to see answer by math_tutor2020(3816) |
Question 1205305: A farmer has fenced off his trapezoidal housing area, which is shown in the diagram. There is a post at each of the point A and B, to which the farmer sometimes attaches a 30m rope that is tied to his donkey. This provides the donkey either one of two grazing areas outside the housing area. Find the difference in the areas available for grazing in square meters (m^2)
Click here to see answer by Edwin McCravy(20054)  |
Question 1205272: Abu compares package postpaid mobile plans between Remaja Hebat Plan and
Unlimited Plan. Remaja Hebat Plan charges RM0.05 per minutes plus a basic
monthly fee for RM 7.50. Unlimited Plan charges RM 0.075 per minute plus a basic
monthly fee of RM4.25
a. Write the model for package postpaid mobile plans for Remaja Hebat Plan
and Unlimited Plan.
b. Identify the best mobile plan.
c. Sketch the graph for package postpaid mobile plans between Remaja Hebat
Plan and Unlimited Plan
. Alia rows a boat upstream from one point on a river to another point 4 km away in 1.5 hours.
The return trip, traveling with the current, takes only 45 min.
a. Identify the variables involve in algebra.
b. Find the speed of the current flowing by using back-substitution method
Click here to see answer by ikleyn(52751) |
Question 1204616: For a cylinder with a surface area of 10
, what is the maximum volume that it can have? Round your answer to the nearest 4 decimal places.
Recall that the volume of a cylinder is πr2h
and the surface area is 2πrh+2πr2
where r
is the radius and h
is the height.
Click here to see answer by math_tutor2020(3816) |
Question 1202599: Write an exponential model for the following situation. The drug dosage is 375 mg. The drug is eliminated at a rate of 11.3% per hour. Use D=the amount of the drug in milligrams and t=time in hours. Enter your model in the simplified form y=asup(bracket(b),x), and be mindful about the case of your variables.
Click here to see answer by ikleyn(52751) |
Question 1202599: Write an exponential model for the following situation. The drug dosage is 375 mg. The drug is eliminated at a rate of 11.3% per hour. Use D=the amount of the drug in milligrams and t=time in hours. Enter your model in the simplified form y=asup(bracket(b),x), and be mindful about the case of your variables.
Click here to see answer by Theo(13342)  |
Question 1201657: A farmer can plow a field in 24 hours. His son, with a larger plow, can plow it in 12 hours. The farmer asked that they work together so they could finish before the rain started. It rained 7 hours later. Had they finished plowing before the rain?
Click here to see answer by ikleyn(52751) |
Question 1201636: One conveyor belt can move 1000 boxes in 11 minutes. Another can move 1000 boxes in 3 minutes. If another conveyor belt is added and all three are used, the boxes are moved in 3 minutes. How long would it take the third conveyor belt alone to do the same job?
Click here to see answer by josgarithmetic(39613) |
Question 1201636: One conveyor belt can move 1000 boxes in 11 minutes. Another can move 1000 boxes in 3 minutes. If another conveyor belt is added and all three are used, the boxes are moved in 3 minutes. How long would it take the third conveyor belt alone to do the same job?
Click here to see answer by greenestamps(13195) |
Question 1201249: Jodi is paid by commission as a salesperson. She earns 5% commission for each laptop computer she sells and 8% commission for each DVD player she sells. Suppose that the average price of a laptop is $600 and the average price of a DVD player is $200.
a) What is the average amount Jodi earns for selling each item?
b) Jodi wants to earn a minimum commission this month of $1000. Write an inequality to represent this situation.
Click here to see answer by greenestamps(13195) |
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