



Key concepts

Metric System of Measurement

Length
$\begin{array}{ccc}\text{1 kilometer (km)}\hfill & =\hfill & \text{1,000 m}\hfill \\ \text{1 hectometer (hm)}\hfill & =\hfill & \text{100 m}\hfill \\ \text{1 dekameter (dam)}\hfill & =\hfill & \text{10 m}\hfill \\ \text{1 meter (m)}\hfill & =\hfill & \text{1 m}\hfill \\ \text{1 decimeter (dm)}\hfill & =\hfill & \text{0.1 m}\hfill \\ \text{1 centimeter (cm)}\hfill & =\hfill & \text{0.01 m}\hfill \\ \text{1 millimeter (mm)}\hfill & =\hfill & \text{0.001 m}\hfill \\ \text{1 meter}\hfill & =\hfill & \text{100 centimeters}\hfill \\ \text{1 meter}\hfill & =\hfill & \text{1,000 millimeters}\hfill \end{array}$

Mass
$\begin{array}{ccc}\text{1 kilogram (kg)}\hfill & =\hfill & \text{1,000 g}\hfill \\ \text{1 hectogram (hg)}\hfill & =\hfill & \text{100 g}\hfill \\ \text{1 dekagram (dag)}\hfill & =\hfill & \text{10 g}\hfill \\ \text{1 gram (g)}\hfill & =\hfill & \text{1 g}\hfill \\ \text{1 decigram (dg)}\hfill & =\hfill & \text{0.1 g}\hfill \\ \text{1 centigram (cg)}\hfill & =\hfill & \text{0.01 g}\hfill \\ \text{1 milligram (mg)}\hfill & =\hfill & \text{0.001 g}\hfill \\ \text{1 gram}\hfill & =\hfill & \text{100 centigrams}\hfill \\ \text{1 gram}\hfill & =\hfill & \text{1,000 milligrams}\hfill \end{array}$

Capacity
$\begin{array}{ccc}\text{1 kiloliter (kL)}\hfill & =\hfill & \text{1,000 L}\hfill \\ \text{1 hectoliter (hL)}\hfill & =\hfill & \text{100 L}\hfill \\ \text{1 dekaliter (daL)}\hfill & =\hfill & \text{10 L}\hfill \\ \text{1 liter (L)}\hfill & =\hfill & \text{1 L}\hfill \\ \text{1 deciliter (dL)}\hfill & =\hfill & \text{0.1 L}\hfill \\ \text{1 centiliter (cL)}\hfill & =\hfill & \text{0.01 L}\hfill \\ \text{1 milliliter (mL)}\hfill & =\hfill & \text{0.001 L}\hfill \\ \text{1 liter}\hfill & =\hfill & \text{100 centiliters}\hfill \\ \text{1 liter}\hfill & =\hfill & \text{1,000 milliliters}\hfill \end{array}$

Temperature Conversion
 To convert from Fahrenheit temperature, F, to Celsius temperature, C, use the formula
$\text{C}=\frac{5}{9}\left(\text{F}32\right)$
 To convert from Celsius temperature, C, to Fahrenheit temperature, F, use the formula
$\text{F}=\frac{9}{5}\text{C}+32$
Practice makes perfect
Make Unit Conversions in the U.S. System
In the following exercises, convert the units.
Questions & Answers
Equation in the form of a pending point
y+2=1/6(×4)
definition of quadratic formula
From Google: The quadratic formula, , is used in algebra to solve quadratic equations (polynomial equations of the second degree). The general form of a quadratic equation is , where x represents a variable, and a, b, and c are constants, with . A quadratic equation has two solutions, called roots.
Melissa
what is the answer of w2.6=7.55
w = 10.15
You add 2.6 to both sides and then solve for w (2.6 zeros out on the left and leaves you with w= 7.55 + 2.6)
Korin
Nataly is considering two job offers. The first job would pay her $83,000 per year. The second would pay her $66,500 plus 15% of her total sales. What would her total sales need to be for her salary on the second offer be higher than the first?
greater than $110,000
Michael
Estelle is making 30 pounds of fruit salad from strawberries and blueberries. Strawberries cost $1.80 per pound, and blueberries cost $4.50 per pound. If Estelle wants the fruit salad to cost her $2.52 per pound, how many pounds of each berry should she use?
$1.38 worth of strawberries + $1.14 worth of blueberries which= $2.52
Leitha
8 pound of blueberries and 22 pounds of strawberries
Melissa
8 pounds x 4.5 = 36
22 pounds x 1.80 = 39.60
36 + 39.60 = 75.60
75.60 / 30 = average 2.52 per pound
Melissa
8 pounds x 4.5 equal 36
22 pounds x 1.80 equal 39.60
36 + 39.60 equal 75.60
75.60 / 30 equal average 2.52 per pound
Melissa
8 pounds x 4.5 = 36
22 pounds x 1.80 = 39.60
36 + 39.60 = 75.60
75.60 / 30 = average 2.52 per pound
Melissa
The question asks how many pounds of each in order for her to have an average cost of $2.52. She needs 30 lb in all so 30 pounds times $2.52 equals $75.60. that's how much money she is spending on the fruit. That means she would need 8 pounds of blueberries and 22 lbs of strawberries to equal 75.60
Melissa
nawal let's do another😊
Leitha
we can't use emojis...I see now
Leitha
Sorry for the multi post. My phone glitches.
Melissa
Vina has $4.70 in quarters, dimes and nickels in her purse. She has eight more dimes than quarters and six more nickels than quarters. How many of each coin does she have?
10 quarters
16 dimes
12 nickels
Leitha
A private jet can fly 1,210 miles against a 25 mph headwind in the same amount of time it can fly 1,694 miles with a 25 mph tailwind. Find the speed of the jet.
wtf. is a tail wind or headwind?
Robert
48 miles per hour with headwind
and
68 miles per hour with tailwind
Leitha
average speed is 58 mph
Leitha
Into the wind (headwind), 125 mph; with wind (tailwind), 175 mph. Use time (t) = distance (d) ÷ rate (r). since t is equal both problems, then 1210/(x25) = 1694/(×+25). solve for x gives x=150.
bruce
the jet will fly 9.68 hours to cover either distance
bruce
Riley is planning to plant a lawn in his yard. He will need 9 pounds of grass seed. He wants to mix Bermuda seed that costs $4.80 per pound with Fescue seed that costs $3.50 per pound. How much of each seed should he buy so that the overall cost will be $4.02 per pound?
Amber wants to put tiles on the backsplash of her kitchen counters. She will need 36 square feet of tiles. She will use basic tiles that cost $8 per square foot and decorator tiles that cost $20 per square foot. How many square feet of each tile should she use so that the overall cost of the backsplash will be $10 per square foot?
Ivan has $8.75 in nickels and quarters in his desk drawer. The number of nickels is twice the number of quarters. How many coins of each type does he have?
2q=n
((2q).05) + ((q).25) = 8.75
.1q + .25q = 8.75
.35q = 8.75
q = 25 quarters
2(q)
2 (25)
= 50 nickles
Answer check
25 x .25 = 6.25
50 x .05 = 2.50
6.25 + 2.50 = 8.75
Melissa
John has $175 in $5 and $10 bills in his drawer. The number of $5 bills is three times the number of $10 bills. How many of each are in the drawer?
Enrique borrowed $23,500 to buy a car. He pays his uncle 2% interest on the $4,500 he borrowed from him, and he pays the bank 11.5% interest on the rest. What average interest rate does he pay on the total $23,500? (Round your answer to the nearest tenth of a percent.)
Two sisters like to compete on their bike rides. Tamara can go 4 mph faster than her sister, Samantha. If it takes Samantha 1 hour longer than Tamara to go 80 miles, how fast can Samantha ride her bike?
16 goes into 80 5times
while 20 goes into 80 4times and is 4mph faster
Robert
what is the answer for this 3×9+28÷48
how do you do xsquard+7x+10=0
What
(x + 2)(x + 5), then set each factor to zero and solve for x. so, x = 2 and x = 5.
bruce
In 10 years, the population of Detroit fell from 950,000 to about 712,500. Find the percent decrease.
how do i set this up
Jenise
950,000  712,500 = 237,500. 237,500 / 950,000 = .25 = 25%
Melissa
I've tried several times it won't let me post the breakdown of how you get 25%.
Melissa
Subtract one from the other to get the difference. Then take that difference and divided by 950000 and you will get .25 aka 25%
Melissa
one way is to set as ratio: 100%/950000 = x% / 712500, which yields that 712500 is 75% of the initial 950000. therefore, the decrease is 25%.
bruce
twenty five percent...
Jeorge
950000713500 *100 and then divide by 950000 = 25
Muzamil
Source:
OpenStax, Elementary algebra. OpenStax CNX. Jan 18, 2017 Download for free at http://cnx.org/content/col12116/1.2
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