Tutors Answer Your Questions about Unit Conversion Word Problems (FREE)
Question 571323: Please help me check this question:
"How many low dose 81mg aspirin tablets can be made from 1.21 kg of aspirin?
I tried working it out like this:
1.21kg/1 x 1000g/1kg/ 812= 14938.27= 15,000
Answer by ankor@dixie-net.com(12692)   (Show Source):
Question 571321: Please help me check to see if this is correct,
"Calculate the specific gravity of a 10.00mL sample of urine that has a mass of 10.31g"
This is what I tried: specific gravity= density of sample/ density of water
sg= 10.00 mL/ 10.31g=0.9699
Answer by Alan3354(21593)  (Show Source):
You can put this solution on YOUR website!"Calculate the specific gravity of a 10.00mL sample of urine that has a mass of 10.31g"
This is what I tried: specific gravity= density of sample/ density of water
sg= 10.00 mL/ 10.31g=0.9699
===================
SG is a unitless dimension equal to density in units of gm/ml
Your number is ml/gm
Question 564548: Question:
The top of a desk has length 30 inches and width 24 inches.
a) Convert dimensions into centimetres
b) Imagine you want to draw a floor plan of the classroom with scale 1:50. What will the dimesions of the desk be on the floor plan, in centimetres?
Answer:
a) 76.2 cm by 61 cm
b) ?
Answer by Alan3354(21593) (Show Source):
You can put this solution on YOUR website!The top of a desk has length 30 inches and width 24 inches.
a) Convert dimensions into centimetres
b) Imagine you want to draw a floor plan of the classroom with scale 1:50. What will the dimesions of the desk be on the floor plan, in centimetres?
Answer:
a) 76.2 cm by 61 cm
That's correct, 24 in = 60.96 cm
------------------
b) ?
Makes no sense, insufficient data.
Question 563833: How do you convert 16 servings to 4 servings?
16 Serving Recipe
12oz Sugar
1 1/2 cup flour
6 teaspoons of salt
1 1/3 cup milk
Answer by stanbon(48546) (Show Source):
You can put this solution on YOUR website!How do you convert 16 servings to 4 servings?
16 Serving Recipe
12oz Sugar........................3 oz
1 1/2 cup flour...................3/8 cup flour
6 teaspoons of salt...............1 1/2 tsp salt
1 1/3 cup milk....................1/3 cup milk
==================================================
cheers,
Stan H.
============
Question 563061: 1)How many miles are in 4 furlongs?
Answer by richard1234(4796)  (Show Source):
Question 563063: 3)How many square inches are in 3 square feet?
Answer by Alan3354(21593) (Show Source):
Question 559967: find the number of litres that a water tank with length 3 m, breadth 2 m and depth 1.5 m can hold.
Answer by Edwin McCravy(6936)  (Show Source):
You can put this solution on YOUR website!find the number of litres that a water tank with length 3 m, breadth 2 m and depth 1.5 m can hold.
1m³ = 1000 liters
V = 3m×2m×1.5m = 9m³ = 9×1000 liters = 9000 liters.
Edwin
Question 558403: The cost of a gallon of gas is 3.35 per gallon. If you travel 40 miles a day (back and forth to work) and your gas mileage is 25 miles per gallon, determine how much you will spend on gas a week.
I have tried to figure this out but I am just not sure what steps to take first. I just started this class and have been trying to teach myself because I haunt been able to make it to class. Thank you for your help!
Dezzii
Answer by scott8148(5883)  (Show Source):
You can put this solution on YOUR website!you travel 40 mi per day; times 5 days per week is 200 mi per week
200 mi divided by 25 mi per gallon is 8 gal of gas per week
8 gal times $3.35 per gal is the cost of a weeks worth of gas
Question 558276: A freshman is currently enjoying the Arts Studio program she is pursing at a well-know university. In her free time, she like to skate, take salsa dance lessons, and cook. She particularly enjoys pickling and decides to pickle olives over a lesisurely weekend. Accordng to the recipe, she needs to add three teaspoons of salt to one cup of diced olives. However, she erroneously adds six teaspoons instead. Each teaspoon of salt weighs about 5g and contains about 2300mg of sodium.
a). include all steps required for calculation
b). use correct procedure for conversion
c). deterine the amount of sodium acctually added, in grams
d). state the chemical fourmul of salt
e). classified the bond as ionic, polar covalent or non-polar convalent.
Answer by KMST(592)  (Show Source):
You can put this solution on YOUR website!For chemistry homework questions, I would recommend the mychemistrytutor website. That website is not swamped with questions, and 99% or more of the question are answered within 24 hours or less. (I can even type superscripts there).
b) The conversion factor to get from teaspoons to milligrams of sodium, as stated in the problem, is (2300 mg sodium/1 teaspoon salt)
We can multiply it times (1 g sodium/1000mg sodium) to get
(1 g sodium/1000mg sodium)(2300mg sodium/1 teaspoon salt)=2.3 g sodium/1 teaspoon of salt
c) Based on that conversion factor, the 6 teaspoons of salt added contributed
(6 teaspoons salt)(2.3 g sodium/1 teaspoon of salt)=13.8 g sodium
d) Table salt is sodium chloride, with formula NaCl.
e) The sodium and the chlorine are present as ions Na+, and Cl- (The + and - are supposed to be superscripts, written higher than the other characters, as if they were exponents). The sodium cations and chloride anions are charged and held together by electrostatic forces (opposites attract). It is called an ionic bond.
It is not really a molecule. A salt crystal is an arrangement of sodium ions and chloride ions, with same number of both, but not arranged in pairs. Each sodium ions is surrounded by chloride ions, and each chloride ion is surrounded by sodium ions. The minimum unit with the composition of sodium chloride would be one ion of each. That is called a formula unit (not a molecule). The mass of a formula unit of sodium chloride, in atomic mass units, is the sum of the atomic masses of sodium and chlorine (22.99+35.45=58.44) and is the formula weight of sodium chloride. It is a formula weight, not a molecular weight. The ratio of masses of sodium and sodium chloride is (22.99 units of Na/58.44 units NaCl).
From that ratio we can calculate
(22.99 g Na/58.44 g NaCl)(about 5 g NaCl/1 teaspoon salt)=about 2 g Na/1 teaspoon salt
Question 557878: Hi I'm am trying to figure out the correct unit analysis for this problem.
A marathon is a long distance event that covers 26.2 miles. If the average runner can run 515 ft in one minute, how many hours will it take to complete the marathon? ( round your result to one decimal place).
I have tried multiplying 26.2 by 515 then divided by 5280 but I got 2.5 and the answer is approx. 4.5.
Answer by scott8148(5883) (Show Source):
You can put this solution on YOUR website!515 ft/min * 60 min/hr = ? ft/hr
26.2 mi/marathon * 5280 ft/mi = ? ft/marathon
divide the second result by the first to get hr/marathon
Question 557360: One milliliter of water at 4 Celsius has a mass of approximately one gram. What is the approximate mass of 1 liter of water at this temperature?
How do you do the above problem?
Answer by Theo(2973)  (Show Source):
You can put this solution on YOUR website!1 milliliter of water at 4 celsius has a mass of approximately 1 gram.
what is the approximate mass of 1 liter of water at the same temperature?
the density of the water will be the same because they're at the same temperature.
what is different is the total mass.
1 liter is equal to 1000 milliliters.
if 1 milliliter measures 1 gram, then 1 liter will measure 1000 grams.
1000 grams can also be shown as 1 kilogram because:
1 kilogram = 1000 grams.
Question 557267: i
Answer by Jim123393(1) (Show Source):
Question 555146: We are trying to convert Miles Per Hour to pounds per foot squared and unable to come up with a conversion chart. Could you please help us with this issue, thank you.
Answer by stanbon(48546) (Show Source):
You can put this solution on YOUR website!We are trying to convert Miles Per Hour to pounds per foot squared and unable to come up with a conversion chart. Could you please help us with this issue, thank you.
----
No equation converts mph to pd/ft^2.
Cheers,
Stan H.
Question 554576: A bicycle wheel has a diameter of 26 in. If the bicycle needs to travel 59 ft, how many revolutions of the wheel need to take place? Round to the nearest whole number.
Answer by ankor@dixie-net.com(12692) (Show Source):
You can put this solution on YOUR website!A bicycle wheel has a diameter of 26 in.
If the bicycle needs to travel 59 ft, how many revolutions of the wheel need to take place?
:
Change ft to inches, divide by the circumference
 = 8.667 ~ 9 revolutions
Question 554399: My question is Ana maria walks 9 miles in 3 hours how many miles does she walk per hour?
Answer by Maths68(1154)  (Show Source):
You can put this solution on YOUR website!My question is Ana maria walks 9 miles in 3 hours how many miles does she walk per hour?
Distance = 9 miles
Time = 3 hours
Speed = ?
Speed = Distance / time
Speed = 9/3
Speed = 3 miles/hour
She walks 3 miles per hour.
Question 553610: Ray planted a square garden that covers an area of 200 square feet. How many feet of fencing does he need to surround the garden?
Answer by TutorDelphia(189)  (Show Source):
You can put this solution on YOUR website!The formula for area of a square is  (area equals side squared)
so in this case we have  so 
Now that we know the side, it is easy to find the perimeter. Just multiply the side by 4 so we get 
Question 550850: Please help me with this word problem:
An alien rocketship is traveling at a speed of 20 inches per minute. At this speed, how many feet will it travel in one minute? Round to the nearest thousandth.
Answer by ankor@dixie-net.com(12692) (Show Source):
You can put this solution on YOUR website!An alien rocketship is traveling at a speed of 20 inches per minute.
At this speed, how many feet will it travel in one minute? Round to the nearest thousandth.
:
 = 1.667 ft/min
Question 549057: What is the unit rate for 140 words in 4 minutes?
Answer by rfer(10417) (Show Source):
Question 548510: Hi, if I pay $3.49/gallon of gas and the bill was $180, how many gallons of gas did I get?
Found 2 solutions by stanbon, Earlsdon:
Answer by stanbon(48546) (Show Source):
You can put this solution on YOUR website!Hi, if I pay $3.49/gallon of gas and the bill was $180,
how many gallons of gas did I get?
----
gallons = (18000 cents)/[349 cents/gallon]
-----
= 51.58 gallons
===================================
Cheers,
Stan H.
==========================
Answer by Earlsdon(6103) (Show Source):
Question 548062: 5mgd to cfs
Answer by Alan3354(21593) (Show Source):
Question 546972: 1250mm =?Km the answer is 0.00125 Km. what I want to know is how is the answer 0.00125Km. I got a different answer when I divided 1250 by 2000. I got 0.625. I know the steps. I went from mm to m to Km but at the end when it came to dividing 1250/(1000)(1000) I don't know how to come up with the right answer.
Answer by Alan3354(21593) (Show Source):
You can put this solution on YOUR website!1250mm =?Km the answer is 0.00125 Km. what I want to know is how is the answer 0.00125Km. I got a different answer when I divided 1250 by 2000. I got 0.625. I know the steps. I went from mm to m to Km but at the end when it came to dividing 1250/(1000)(1000)
-----------------
1250 mm = 1.25 meters
= 0.00125 km
--------------
1250/(1000)(1000) This is correct, it's dividing by 1,000,000, not 2000
Question 545306: martiza traveled by car 415 kilometers in 212 minutes, what was the average speed in miles per hour that she traveled? (round to the nearest tenth)
please i need this as soon as possible!
Answer by Alan3354(21593) (Show Source):
Question 544299: the dosage for a medicine is proportional to the weight of the patient. If 7 mg of the medicine is used for a 56 kg patient, what would be the dosage for a 60 kg patient?
Answer by friesr(113) (Show Source):
Question 542642: A skydiver falling from an aircraft falls at 9.8 m/s (squared) What is his speed after 5 minutes? (Be sure to convert into like term- minutes into seconds)
Answer by Alan3354(21593) (Show Source):
You can put this solution on YOUR website!A skydiver falling from an aircraft falls at 9.8 m/s (squared) What is his speed after 5 minutes? (Be sure to convert into like term- minutes into seconds)
-----------------
Ignoring air resistance:
v = at = 9.8*300 = 2940 m/sec
-----
That's apx 1.84 mi/sec = 6600 mi/hr
Good luck
Question 540148: Electricity - In an AC circuit, the voltage E ( in volts), current I ( in amps), and impedance Z ( in ohms) are related by the formula E = I . Z. Find the current in a circuit with voltage 10 - 3j volts and impedance 4+ j ohms.
Answer by stanbon(48546) (Show Source):
You can put this solution on YOUR website!Electricity - In an AC circuit, the voltage E ( in volts), current I ( in amps), and impedance Z ( in ohms) are related by the formula E = I . Z. Find the current in a circuit with voltage 10 - 3j volts and impedance 4+ j ohms.
-----------------------------
E = I*Z
(10-3j) = I*(4+j)
-----------------------
I = (10-3j)/(4+j)
---
Multiply numerator and denominator by (4-j) to get:
I = [(10-3j)(4-j)]/[(4+j)(4-j)]
-----
I = [(40-3) -(10+12)j] / [16+1]
----
I = (37 - 22j)/17
----
I = (37/17) - (22/17)j
====================================
Cheers,
Stan H.
=============================
Question 537812: what is the product of 2 ft. 7 in. and 6
Answer by Alan3354(21593) (Show Source):
Question 537776: How many sq foot is there in a 7 x 83 wall thats 8 inches thick? Please how did you get the answer.
Answer by solver91311(12126)  (Show Source):
You can put this solution on YOUR website!
If you really just want the area (you asked for "sq foot") then just multiply the height of the wall times the length of the wall, and the thickness makes no difference.
On the other hand, if you wanted the volume as you imply by the fact that you provided the thickness of the wall, then in the first place you should have asked "How many cubic feet..." In this case you take the area (in square feet) that you calculated by multiplying the height of the wall times the length of the wall and multiply that area by the thickness of the wall IN FEET.
You gave the thickness in inches, so you have to figure out how many feet is represented by 8 inches. To convert inches to feet, divide the number of inches by 12, and, in this case anyway, reduce the fraction.
John
My calculator said it, I believe it, that settles it
Question 537030: 13km is in how many feet?
Answer by Sakura_Yoona(3) (Show Source):
Question 536213: a car is traveling at a rate of 60 kilometers per hour. how many meters does a car travel in 1 minute?
Answer by josmiceli(6784)  (Show Source):
Question 522785: When would you use unit conversion in math?
Answer by stanbon(48546) (Show Source):
You can put this solution on YOUR website!When would you use unit conversion in math?
----
When you want to convert from some unit to another.
For example to change from miles per hour to feet per second.
----
20 mph(1 hr/3600 sec)(5280 ft/1 mile) = (20*1*5280)/(1*3600*1)(ft/sec)
===
= 105600/3600 (ft/sec)
---
= 29 1/3 ft/sec
======================
Cheers,
Stan H.
=====================
Question 522765: You tell your friend that it is 100 metres across the bay. They want to know how many feet that is?
Answer by Alan3354(21593) (Show Source):
Question 521236: Mr. Smith had to pay 75 cents a square foot for a glass to replace a broken window which was square and measured 4 feet from top to bottom. Yet Mr. Smith paid $6.00 for the single sheet of glass required to fix the window. Explain this total.
I am unsure how to convert to square feet. Only thing I could come up with was P=16 and multiply that by the .75 which gives you 12. So from there all I can say is he got it half off but as i said i dont know how to do square feet. THank you Very much!!
Answer by oberobic(2302) (Show Source):
You can put this solution on YOUR website!Square feet are simply measures of area.
.
75 cents per square ft is the cost of the glass.
.
He paid $6 for the glass, so you he bought 600 cents worth of glass.
.
At 75 cents per sq. ft, he bought 8 sq ft of glass.
.
The area = 8 sq ft
.
The height = 4 ft
.
So the width has to be 8/4 = 2 ft.
.
2 ft * 4 ft = 8 sq ft
.
Question 518123: the product of two consecutive even integers is 224. find the two numbers.
Answer by oberobic(2302) (Show Source):
You can put this solution on YOUR website!The two consecutive even numbers can be defined as: x and x+2.
.
x*(x+2) = 224
.
x^2 +2x -224 = 0
.
factor
.
(x+16)(x-14) = 0
.
x = -16 or 14
.
So the two consecutive even integers are either 14 and 16 or -14 and -16.
.
Done.
Question 517293: In the 2004 summer Olympics, the united states women's 4x100 meter freestyle relay team, won a silver medal. Each of the 4 team members, Natalie Coughlin, Amanda Beard, Jenny Thompson, Kara Lynn Joyce swam 100 meters. Their winning time was 3:59.12 minutes (3 minutes and 59.12 seconds). What was the team's average speed in miles per hour.
I am having a difficult time trying to set this one up.. Please help me.. Thank you
Answer by ankor@dixie-net.com(12692) (Show Source):
You can put this solution on YOUR website!In the 2004 summer Olympics, the united states women's 4x100 meter freestyle relay team, won a silver medal.
Each of the 4 team members, Natalie Coughlin, Amanda Beard, Jenny Thompson, Kara Lynn Joyce swam 100 meters.
Their winning time was 3:59.12 minutes (3 minutes and 59.12 seconds). What was the team's average speed in miles per hour.
:
Convert 400 meters to ft: 3.281*400 = 1312.4 ft
Convert 1312.4 ft to miles:  = .24856 miles
:
Convert 3 min, 59.12 sec to minutes 3 +  = 3.9853 minute
Convert 3.9853 min to hrs:  = .06642 hrs
:
Speed = dist/time
Find mph:  = 3.74 mph average speed of the team
:
Did this make sense to you??
Question 515142: a harley davidson motorcycle shop maintains an inventory of four times as many new bikes as used bikes. if there are 60 new bikes, how many used bikes are now in stock.
Answer by deborabr(173)  (Show Source):
Question 515061: The frequency is 6559kHz. What is the frequency in megahertz?
Answer by stanbon(48546) (Show Source):
You can put this solution on YOUR website!The frequency is 6559kHz. What is the frequency in megahertz?
-----
6559 kHz(1 megaHz/1000 kHz) = 6.559 megaHz
==============================================
Cheers,
Stan H.
Question 514953: 1.2 mi= what inches?
Answer by stanbon(48546) (Show Source):
You can put this solution on YOUR website!1.2 mi= what inches?
----
1.2 mi(5280 ft/1 mi)(12 in/1 ft)
----
= (1.2*5280*12)/(1*1*1) inches
----
= 76,032 inches
==================
Cheers,
Stan H.
==============
Question 514414: ok so im having trouble understanding the set up for unit conversions for my astronomy class. The problem that I was given is as follows: The space probe MUSE is traveling at 6700m/s. Is this faster or slower than the voyager space probe (17.46km/s)?
Answer by Alan3354(21593) (Show Source):
You can put this solution on YOUR website!ok so im having trouble understanding the set up for unit conversions for my astronomy class. The problem that I was given is as follows: The space probe MUSE is traveling at 6700m/s. Is this faster or slower than the voyager space probe (17.46km/s)?
-----------
1 km = 1000 meters
17.46 km/sec = 17460 meters/sec
Question 514101: what does parallel thirds and modulation mean in like a sentence for misc?
Answer by richard1234(4796) (Show Source):
You can put this solution on YOUR website!Parallel thirds simply 3rd chords (e.g. C-E, F#-A#) that may move up or down the piano (or whatever instrument) "parallel" to each other.
A modulation is simply a sequence of chords that "modulates" or changes to a different key. There are many types of modulations, and modulations can go to a variety of keys.
Question 511911: can someone please help me?
in a right triangle, a=20 and b=15. Find c.
Answer by jim_thompson5910(21680) (Show Source):
Question 511909: can someone please help me?
in a right triangle, a=8 and c=17. Find b.
Answer by jim_thompson5910(21680) (Show Source):
Question 511425: What is the easiest way to convert units for example 5mi in 1 hour what is this rate in minutes?
Answer by stanbon(48546) (Show Source):
You can put this solution on YOUR website!What is the easiest way to convert units?
Answer: Use "unit conversion fractions"
Example: Since 12 inches = 1 ft you can for the fraction (12 inches/1 ft)
which is a "unit conversion fraction for converting ft. to inches.
---------------------------------
for example 5mi in 1 hour what is this rate in minutes?
5 mi per hour = (5 mi/1 hr)(1 hr/60 min)
= (5*1)/(1*60)(mile/min)
= (1/12)(mile/min)
=======================
Cheers,
Stan H.
Question 506715: for converting cement cubic yards to the following deminsions
6 inches deep - 30 feet wide - 90 feet long - how many cubic yards will it take of cement?
Answer by ankor@dixie-net.com(12692) (Show Source):
You can put this solution on YOUR website!for converting cement cubic yards to the following dimensions
6 inches deep - 30 feet wide - 90 feet long - how many cubic yards will it take of cement?
:
Find the vol in cu/ft
.5 * 30 * 90 = 1350 cu/ft
there are 3^3, 27 cu/ft in 1 cu/yd
1350/27 = 50 cu/yds
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