# 7.5 Systems of measurement  (Page 5/10)

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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?

what is variations in raman spectra for nanomaterials
I only see partial conversation and what's the question here!
what about nanotechnology for water purification
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
Damian
yes that's correct
Professor
I think
Professor
what is the stm
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
Rafiq
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
Damian
How we are making nano material?
what is a peer
What is meant by 'nano scale'?
What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
how nano science is used for hydrophobicity
Santosh
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
Rafiq
what is differents between GO and RGO?
Mahi
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
Rafiq
what is Nano technology ?
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
Is there any normative that regulates the use of silver nanoparticles?
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
why we need to study biomolecules, molecular biology in nanotechnology?
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
why?
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?
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
what does nano mean?
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?
absolutely yes
Daniel
how did you get the value of 2000N.What calculations are needed to arrive at it
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Good
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.
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.
What is the expressiin for seven less than four times the number of nickels
How do i figure this problem out.
how do you translate this in Algebraic Expressions
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)=
. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?