Questions on Algebra: Unit Conversion answered by real tutors!

Tutors Answer Your Questions about Reduction-of-unit-multipliers (FREE)

Question 567672: How many nanoseconds are there in one minute?
Answer by richard1234(4794)

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10^9 nanoseconds = 1 second

60*10^9 = 6*10^10 nanoseconds = 60 seconds = 1 minute

Question 562249: I need to convert 28.6 lb / ft cu. To kg / m cu. Please help!
Answer by mananth(10549)

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28.6 lb / ft cu. To kg / m cu.
1kg = 2.2 lb
1cu.m = 35.31 cu.ft
%28%2828.6%2F2.2%29%29%2F%281%2F35.31%29

=459.03kg/m^3

Question 560414: Estimating the unite rate.
Hi. i know that the word unite equals one. Can you please tell me if i have done this right?
43 apples in 5 bags: Estimated 9 per bag
This is what i did to get this answer: 5 divided by 43. i got 8.6, then i rounded to the nearest 10th and got 9. Please tell me. Am i correct?

Answer by Alan3354(21583)

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Estimating the unite rate.
Hi. i know that the word unite equals one. Can you please tell me if i have done this right?
43 apples in 5 bags: Estimated 9 per bag
This is what i did to get this answer: 5 divided by 43. i got 8.6, then i rounded to the nearest 10th and got 9. Please tell me. Am i correct?
--------------
To the nearest 10th is 8.6, but 9 per bag makes more sense.
9 is rounded to the nearest unit, or whole number.
--------------
PS It's unit, not unite.

Question 560200: How many inches do you run in a 1000-meeer track event? show conversions fractions. Please show your work on here because this was assigned and I completely forgot how to do this.
Answer by stanbon(48535)

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How many inches do you run in a 1000-meter track event? show conversions fractions.
------
1 meter = 39.37 inches
-----
1000 meters [39.37 inches/meters] = 39370 inches
==================
Cheers,
Stan H.
==================

Question 557724: convert the ratio to the given units: 176 ft/sec to miles per minute
i tried 176/5280*60 but i dont think that number is right
Answer by rfer(10417)

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176*60=10560
10560/5280=2 mpm

Question 557725: Convert the ratio into given units 60 miles/hour to feet per second.
I tried 60*5280*3600
But I think that number is to big
Answer by Alan3354(21583)

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Convert the ratio into given units 60 miles/hour to feet per second.
I tried 60*5280*3600
But I think that number is to big
--------------
60 mi/hr * 5280 ft/mi * 1hr/3600 sec
== 88 ft/sec

Question 557364: Is the term 30.0 -gal, the same as 30.0 gallons?
i got it from the this question....
assume that it takes 7.00 minutes to fill a 30.0 -gal gasoline tank
Answer by Theo(2967)

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i believe so.
the -gal might have been meant to read as:
30.0-gal gasoline tank.
in either case, i believe they are referring to a gasoline tank that has a 30 gallon capacity.

Question 555286: How do you use a unit multiplier to convert 3.5 centimeters to meters?
Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(48535)   (Show Source):
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How do you use a unit multiplier to convert 3.5 centimeters to meters?
-------
1 meter = 100 cm
So, (1 meter/100 cm) = 1 unit
-----------------------------------
3.5 cm[1 meter/100cm] = (3.5*1)/(1*100)(meters)
---
= (3.5/100)meters
---
= 0.035 meters
=================
Cheers,
Stan H.
================

Answer by jim_thompson5910(21667)   (Show Source):
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Method #1:

Multiply 3.5 cm by (1 m/100 cm) to get

(3.5 cm)*(1 m/100 cm) = 3.5/100 m = 0.035 m
-------------------------------------------------------

Method #2:

100 cm = 1 m

1 cm = 1/100 m

1 cm = 0.01 m

3.5*1 cm = 3.5*0.01 m

3.5 cm = 0.035 m

which is the same answer.

If you need more help, email me at jim_thompson5910@hotmail.com

Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you

Jim

Question 554079: Use two unit multipliers to convert 100 square cm to millimeters
Answer by josmiceli(6783)   (Show Source):
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mm = ( cm ) x ( 10 mm / 1 cm )
mm2 = ( cm2 ) x ( 100 mm2 / 1 cm2 )
mm2
mm2

Question 553377: Is 2yd grater or less than 200 cm ?
Answer by KMST(592)   (Show Source):
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1 yard is 3 feet
1 foot is 30.48 cm
So 1 yard is 3(30.48 cm) = 91.44 cm (less than 100 cm = 1 meter)
So 2 yards is about 183 cm, less than 200 cm

Question 552175: Use two unit multipliers to convert 450 feet sq. To yards sq.
Answer by fcabanski(385)   (Show Source):
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There are 3 feet in a yard. There are 3*3 = 9 square feet in a square yard. The two unit multipliers are 3 feet/yard and 3 feet/yard.
\
450 yards / 3 feet/yard / 3 feet/yard = 50 square yards.

If you need help understanding math so you can solve these problems yourself, then one on one online tutoring is the answer ($30/hr). If you need faster solutions with guaranteed detailed answers, then go with personal problem solving ($3.50-$5.50 per problem). Contact me at fcabanski@hotmail.com

Question 551232: Find the inverse matrix: -9 5
6 3
Answer by jim_thompson5910(21667)   (Show Source):
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Solved by pluggable solver: Finding the Inverse of a 2x2 Matrix

To find the inverse of the matrix , we can follow these steps:

Step 1) Find the determinant

The determinant of is . So this means that

Step 2) Swap the values

Now switch the highlighted values to get

Step 3) Change the sign

Now change the sign of the highlighted values to get

Step 4) Multiply by the inverse of the determinant

Multiply by to get

Plug in to get

Step 5) Multiply by every element in the matrix (simply and reduce if possible)

Multiply by EVERY element to get

Multiply to get

Reduce each element:

=================================================================

Answer:

So the inverse of is

This means that if then

Question 550983: april brought 8 books for $44. paperback books cost $4 and hardcover books cost $8. how many of each type of book did she buy?
Answer by oberobic(2302)   (Show Source):
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h = number of hardback books
p = number of paperback books
h + p = 8
so
h = 8-p
.
4*p = price of paperbacks
8*h = price of hardbacks
4*p + 8*h = 44
.
substitute h = 8-p
.
4p + 8(8-p) = 44
4p +64 -8p = 44
-4p = -20
p = 5
h = 8-p
h = 3
.
check to be sure the values are right
4*5 = 20
3*8 = 24
20 +24 = 44
correct.
.
Answer: She purchased 5 paperbacks at $4 and 3 hardbacks at $8 for a total of $44.
.
Done.

Question 550197: Is Celsius temperature a function of Fahrenheit temperature? explain.
please answer this...thanks
Answer by richard1234(4794)   (Show Source):
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Yes, we have

C = (5/9)(F - 32)

where F is the temperature in degrees Fahrenheit.

Question 549600: A family of 5 comes to the amusement park. There are two adults and three children (under the age of 12). They qualify for a special family rate of $174.45. The clerk tells them that a child's ticket always costs $11 less than an adult's ticket. How much is each adult ticket and how much is each child's ticket? (the original adult ticket w/o the family plan id $44.95) I cant figure out the variables and how to solve this.
Answer by mananth(10549)   (Show Source):
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Family
2 adults
3 kids
Family rate 174.45
adult ticket = 44.95
$ 11 less always
Child's ticket = 33.95
adult ticket cost x
child ticket cost y
y==33.95
2x+3y=174.45
y=33.95
2x+101.85=174.95
2x=174.95-101.85
2x=73.10
x=36.55 adults ticket cost
m.ananth@hotmail.ca

Question 548451: convert 10Meters/sec into feet/seconds
Answer by rfer(10417)   (Show Source):
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1 meter = 3.28 feet
10*3.28=32.8 ft/sec

Question 546398: How many 25 mg tablets would you dispense for and 11 pound cat using a dosage of 5mg/kg twice daily for 7 days
Answer by mananth(10549)   (Show Source):
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First find out the total mg for 7 days
5mg/kg of cat 11 kg
55mg required
2 times = 110 mg
7 days
110*7= 770 mg
one tablet 25 mg
770mg -?
770/25
=30.8
31 tablets

Question 545109: A car is driving 35 miles per hour. How fast is the car going in feet per second?
Answer by saifoo.khan(153)   (Show Source):
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Hello,
51.33f/s

Question 542734: how do you solve 63 is 15% of what number?
Answer by lmeeks54(100)   (Show Source):
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Ask the question a different way and the solution may become obvious to you. 63 is 15% of what number is the same as asking, 63 = 15% (or better, .15) * some #. But we always solve with the unknown "some number" on one side of the = sign and everything else on the other.
...
Let x = the unknown #
...
63 = .15 x can be rewritten by dividing both sides by .15
...
x = 63/.15
x = 420 is the answer.
...
check your work by solving for your original question:
420 * .15 = ?
420 * .15 = 63 checks.
...
cheers,
Lee

Question 538857: I need help illustrating this conversion:
694 meters/second equals xxx kilometers/hour
Answer by ankor@dixie-net.com(12692)   (Show Source):
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694 meters/second equals xxx kilometers/hour
:
Find how many meters in 1 hr (3600sec), divide by 1000 to convert to km
:
= 2,498.4 km/hr

Question 537026: What is 7,500 minutes= how many days.
Answer by Sakura_Yoona(3)   (Show Source):
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7500/60 = 125 hours 125/24= 5 days 5 hours

Question 536275: Use four unit multipliers to convert 188 square inches to square meters
Answer by KMST(592)   (Show Source):
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Maybe what's expected is

The value of each factor can be considered and you could say the squared factor is really two factors.

Question 536208: 48.97km=______dam
Answer by Alan3354(21583)   (Show Source):
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I don't know what a dam is, other than an obstacle to the flow of water.

Question 536207: 48g= _____gal
Answer by Alan3354(21583)   (Show Source):
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What is a "g" ??

Question 536209: 24 4/5qt=____gal
Answer by Alan3354(21583)   (Show Source):
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Looking up conversions is not tutoring.

Question 533166: x^2<64
Answer by boilpoil(127)   (Show Source):
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x^2<64

x<+8/-8 ---Was unable to enter +-

Question 528435: How do you do this? - Use two unit multipliers to convert 20 meters to inches.
Answer by scott8148(5880)   (Show Source):
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20 meters * (100 cm / 1 meter) * (1 in / 2.54 cm)

Question 528265: I need to convert 73mL to cubic centimeters
Answer by scott8148(5880)   (Show Source):
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this is a "trick" question ___ mL and cm^3 are equal

Question 527723: e=25,000m square root of d
Problem: A piece of shrapnel weighing 50 grams is found 10 meters from the site of the bomb
1. Determine the value of m, remembering mass is measured in Kilograms.
Answer by solver91311(12126)   (Show Source):
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Either provide the formula or ask your question on a Physics website.

John

My calculator said it, I believe it, that settles it

Question 525280: Use two unit multipliers to convert 4.4 square meters to square centimeters.
Ive tried to do it several ways and I cannot figure out how to go from meters squared to centimeters squared?
Answer by oberobic(2302)   (Show Source):
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1 m = 100 cm
so
1 m^2 = 100 cm * 100 cm = 10000 cm^2
.
4.4 m^2 = 4.4 m^2 *10000 cm^2/m^2 = 44000 cm^2

Question 524372: If a baseball travelers at 90 miles and hour, how many seconds does it take to travel 60 feet?
Please show the work because we cannot figure it out.
Answer by ankor@dixie-net.com(12692)   (Show Source):
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If a baseball travelers at 90 miles and hour, how many seconds does it take to travel 60 feet?
:
Change 90 mph to ft/sec
= 132 ft/sec
Find how long to travel 60 ft
= .4545 seconds to travel 60 ft

Question 519901: A car travels at a constant speed of 15m/s. How many miles does the car travel in one hour?
Answer by mananth(10549)   (Show Source):
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15m/s =
1m=3.281 ft
15m=15*3.281 ft=49.2 ft
49.2ft = 49.2/5280=0.0093 miles
15m/s= 0.0093 mile/s
0.0093*3600= 33.54 miles/hour
m.ananth@hotmail.ca

Question 519712: using the formula d = r t
find d
r= 38.5 m/h . t = 12.5h
Answer by oberobic(2302)   (Show Source):
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d = 38.5 mi/hr * 12.5 hr
.
d = 481.5 mi

Question 517419: I would like to see the algebra steps for solving this problem;
The max speed of the Tpolev TI-144 airliner is 694 miles per second. What is this speed in Kilometers per hour?
I know the answer is 2498.4 km/hr but I don't know how to show it step by step. please help
Answer by richard1234(4794)   (Show Source):
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You probably typoed in there. A Tupolev airliner does not go 694 miles in one second.

Question 514851: a 25 ft rope is cut into 2 pieces. 1 is 5.25 longer than the other. How long is the shorter piece?
Answer by richwmiller(7655)   (Show Source):
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x+x+5.25=25
assuming that the problem means that one piece is 5.25 feet longer
2x=19.75
x=19.75/2

Question 514525: use two unit multipliers to convert 175 kilometers to centimeters
Found 2 solutions by Edwin McCravy, stanbon:
Answer by Edwin McCravy(6935)   (Show Source):
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175 kilometers to centimeters We will go from kilometers to meters to centimeters. Start by putting 175 km over 1: We want to get rid of km and bring in m. We know that 1000 m = 1 km. Since km is in the numerator, we will make the first unit multiplier by putting 1 km in the denominator and 1000 m in the numerator, so the km will cancel. So we multiply by the unit multiplier : Now the km's will cancel: Now we want to get rid of m and bring in cm. We know that 100 cm = 1 m. Since m is in the numerator, we will make the first unit multiplier by putting 1 m in the denominator and 100cm in the numerator, so the m's will cancel. So we multiply by the unit multiplier : We cancel the m's: and we end up with 175×1000×100 = 17,500,000. Edwin

Answer by stanbon(48535)   (Show Source):
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use two unit multipliers to convert 175 kilometers to centimeters
----
175 km (1000 meters/1 km)(100 cm/1 meter)
------------
= (175*1000*100)/(1*1)(cm)
--
= 17,500,000 cm
=====================
Cheers,
Stan H.
============

Question 510749: How i convert 60 eggs to dozens eggs??
Answer by Alan3354(21583)   (Show Source):
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1 dozen = 12

Question 509334: please help me on this word question. A car is traveling at a speed of 55 miles per hour, what is the cars speed in feet per secound?
Answer by ankor@dixie-net.com(12692)   (Show Source):
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A car is traveling at a speed of 55 miles per hour,
what is the cars speed in feet per second?
:
Convert miles to feet then divide that by the no. of seconds in an hour
:
= 80 ft per second

Question 509366: what is 7,8000,000 in scietific notation
Found 2 solutions by jerryguo41, swincher4391:
Answer by jerryguo41(106)   (Show Source):
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Answer by swincher4391(394)   (Show Source):
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Think of 78,000,000 as 78,000,000.0
Start moving the decimal place left until you have a number that is between 1 and 10.
Eventually you will get 7.8.
Count how many times you moved the decimal.
You moved the decimal place 7 times so in scientific notation this is:
7.8 x 10^7

Question 505050: convert 1 mile to inches
Answer by ankor@dixie-net.com(12692)   (Show Source):
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5280 * 12 = 63,360 inches

Question 504771: How do u convert 134 inches to miles
Answer by rfer(10417)   (Show Source):
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5280 ft per mile times 12=63360 inches per mile
134/63360=0.0021 miles

Question 503922: How do you answer a problem like this?
Twenty-seven exceeds one tenth of a number by seven. What is the number?
Answer by oberobic(2302)   (Show Source):
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Well, with algebra we always start with 'x'.
x = some number, we just don't know what number yet
.
1/10*x +7 = 27
1/10*x = 20
x = 200
.
Hmmm. We're still not sure.
so...
.
We ALWAYS check our work!
.
1/10*200 = 20
27 - 20 = 7
So, "27 exceeds one tenth of a number by 7."
Correct.
.
Answer: The number is 200.
.
Done.

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