# 7.5 Systems of measurement  (Page 5/10)

 Page 5 / 10

Mariella is $1.58$ meters tall. Her daughter is $75$ centimeters tall. How much taller is Mariella than her daughter? Write the answer in centimeters.

83 cm

The fence around Hank’s yard is $2$ meters high. Hank is $96$ centimeters tall. How much shorter than the fence is Hank? Write the answer in meters.

1.04 m

Dena’s recipe for lentil soup calls for $150$ milliliters of olive oil. Dena wants to triple the recipe. How many liters of olive oil will she need?

## Solution

We will find the amount of olive oil in milliliters then convert to liters.

 Triple 150 mL Translate to algebra. $3·150\phantom{\rule{0.2em}{0ex}}\text{mL}$ Multiply. $450\phantom{\rule{0.2em}{0ex}}\text{mL}$ Convert to liters. $450\phantom{\rule{0.2em}{0ex}}\text{mL}·\frac{0.001\phantom{\rule{0.2em}{0ex}}\text{L}}{1\phantom{\rule{0.2em}{0ex}}\text{mL}}$ Simplify. $0.45\phantom{\rule{0.2em}{0ex}}\text{L}$ Dena needs 0.45 liter of olive oil.

A recipe for Alfredo sauce calls for $250$ milliliters of milk. Renata is making pasta with Alfredo sauce for a big party and needs to multiply the recipe amounts by $8.$ How many liters of milk will she need?

2 L

To make one pan of baklava, Dorothea needs $400$ grams of filo pastry. If Dorothea plans to make $6$ pans of baklava, how many kilograms of filo pastry will she need?

2.4 kg

## Convert between u.s. and metric systems of measurement

Many measurements in the United States are made in metric units. A drink may come in $\text{2-liter}$ bottles, calcium may come in $\text{500-mg}$ capsules, and we may run a $\text{5-K}$ race. To work easily in both systems, we need to be able to convert between the two systems.

[link] shows some of the most common conversions.

Conversion Factors Between U.S. and Metric Systems
Length Weight Volume
$1$ in = $2.54$ cm
$1$ ft = $0.305$ m
$1$ yd = $0.914$ m
$1$ mi = $1.61$ km

$1$ m = $3.28$ ft
$1$ lb = $0.45$ kg
$1$ oz = $28$ g

$1$ kg = $2.2$ lb
$1$ qt = $0.95$ L
$1$ fl oz = $30$ mL

$1$ L = $1.06$ qt

We make conversions between the systems just as we do within the systems—by multiplying by unit conversion factors.

Lee’s water bottle holds $500$ mL of water. How many fluid ounces are in the bottle? Round to the nearest tenth of an ounce.

## Solution

 500 mL Multiply by a unit conversion factor relating mL and ounces. $500\phantom{\rule{0.2em}{0ex}}\text{mL}·\frac{1\phantom{\rule{0.2em}{0ex}}\text{fl oz}}{30\phantom{\rule{0.2em}{0ex}}\text{mL}}$ Simplify. $\frac{500\phantom{\rule{0.2em}{0ex}}\text{fl oz}}{30}$ Divide. $16.7\phantom{\rule{0.2em}{0ex}}\text{fl. oz.}$ The water bottle holds 16.7 fluid ounces.

How many quarts of soda are in a $\text{2-liter}$ bottle?

2.12 quarts

How many liters are in $4$ quarts of milk?

3.8 liters

The conversion factors in [link] are not exact, but the approximations they give are close enough for everyday purposes. In [link] , we rounded the number of fluid ounces to the nearest tenth.

Soleil lives in Minnesota but often travels in Canada for work. While driving on a Canadian highway, she passes a sign that says the next rest stop is in $100$ kilometers. How many miles until the next rest stop? Round your answer to the nearest mile.

## Solution

 100 kilometers Multiply by a unit conversion factor relating kilometers and miles. $100\phantom{\rule{0.2em}{0ex}}\text{kilometers}·\frac{1\phantom{\rule{0.2em}{0ex}}\text{mile}}{1.61\phantom{\rule{0.2em}{0ex}}\text{kilometers}}$ $100·\frac{1\phantom{\rule{0.2em}{0ex}}\text{mi}}{1.61\phantom{\rule{0.2em}{0ex}}\text{km}}$ Simplify. $\frac{100\phantom{\rule{0.2em}{0ex}}\text{mi}}{1.61}$ Divide. 62 mi It is about 62 miles to the next rest stop.

The height of Mount Kilimanjaro is $5,895$ meters. Convert the height to feet. Round to the nearest foot.

19,328 ft

The flight distance from New York City to London is $5,586$ kilometers. Convert the distance to miles. Round to the nearest mile.

3,470 mi

## Convert between fahrenheit and celsius temperatures

Have you ever been in a foreign country and heard the weather forecast? If the forecast is for $22\text{°C}.$ What does that mean?

#### Questions & Answers

Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
Adin
why?
Adin
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
Praveena Reply
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
Damian Reply
absolutely yes
Daniel
how to know photocatalytic properties of tio2 nanoparticles...what to do now
Akash Reply
it is a goid question and i want to know the answer as well
Maciej
characteristics of micro business
Abigail
for teaching engĺish at school how nano technology help us
Anassong
Do somebody tell me a best nano engineering book for beginners?
s. Reply
there is no specific books for beginners but there is book called principle of nanotechnology
NANO
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
s.
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
Damian
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
Mostly, they use nano carbon for electronics and for materials to be strengthened.
Virgil
is Bucky paper clear?
CYNTHIA
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
NANO
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Harper
Do you know which machine is used to that process?
s.
how to fabricate graphene ink ?
SUYASH Reply
for screen printed electrodes ?
SUYASH
What is lattice structure?
s. Reply
of graphene you mean?
Ebrahim
or in general
Ebrahim
in general
s.
Graphene has a hexagonal structure
tahir
On having this app for quite a bit time, Haven't realised there's a chat room in it.
Cied
what is biological synthesis of nanoparticles
Sanket Reply
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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A soccer field is a rectangle 130 meters wide and 110 meters long. The coach asks players to run from one corner to the other corner diagonally across. What is that distance, to the nearest tenths place.
Kimberly Reply
Jeannette has $5 and$10 bills in her wallet. The number of fives is three more than six times the number of tens. Let t represent the number of tens. Write an expression for the number of fives.
August Reply
What is the expressiin for seven less than four times the number of nickels
Leonardo Reply
How do i figure this problem out.
how do you translate this in Algebraic Expressions
linda Reply
why surface tension is zero at critical temperature
Shanjida
I think if critical temperature denote high temperature then a liquid stats boils that time the water stats to evaporate so some moles of h2o to up and due to high temp the bonding break they have low density so it can be a reason
s.
Need to simplify the expresin. 3/7 (x+y)-1/7 (x-1)=
Crystal Reply
. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?
Chris Reply

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