Algebra Homework Answers & Questions

Waiting for answer How do you simplify ##(16 times r ^3 times t ^2) /( 4 times...
##4r^2t## Using the ##color(blue)"law of exponents"## ##color(orange)"Reminder " color(red)(bar(ul(color(white)(2/2)color(black)(a^m/a^n=a^(mn))color(white)(2/2))))## ##rArr...
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Waiting for answer How do you find the indicated sum of a geometric series?
Calculate the common ratio of the sequence. This is referred to as r. Your strategy to find r depends on how much you already know about the sequence. If you know the first and second term, divide the second term by the first term to find the common ratio. it might be in any for if it is in a perce...
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Waiting for answer Greta bought 3 lb 4 oz of peanuts and shared 1 lb 12 oz with...
##24## oz. conversion factor: ##1## lb = ##16## oz. so ##3## lb = ##3*16## = ##48## oz. and ##3## lb. + ##4## oz. = ##48 + 4 = 52## oz. Likewise: ##1## lb + ##12## oz = ##16 +...
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Waiting for answer How do you convert 1.5 kg/L to g/mL?
##1.5kg//L=1500g//L## Since ##1kg=1000g## to convert ##kg//L## to ##g//L## we have to multiply the number by ##1000## or to move decimal point 3 places to the right. ##1.5000kg//L=1...
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Waiting for answer How do you write the standard form of a line given (2,6) a...
x = 2 An undefined indicates that we have a vertical line parallel to the yaxis and passing through all points in the plane with an xcoordinate = constant ( c) The equation is w...
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Waiting for answer What is the slope of this equation y = 7?
It's a completely flat line that continues forever in both x directions. The is 0. Over an xaxis interval of ##oo## to ##oo##: Slope##= (Deltay)/(Deltax) = 0/(oo) = 0##
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Waiting for answer How do you find the cost of a gallon of water if the cost of...
A gallon of water costs 65 cents. Now, you could set up an equation, or you could just talk it out. When you get really good, you'll see that those two methods are really one and the same. Equations are how mathematicians talk stuff out. A gallon of milk is 50 cents more than 5 times a gallon of w...
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Waiting for answer How do you multiply ##(3x2)^2##?
Apply foil method or the short cut method: Square the first term: ##(3x)^2=9x^2## Multiply the product of the first and last term by two: ##2(3x)(2)=12x## Square the last term: ##(2)^2=4## Combine all the terms: ##9x^212x+4##
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Waiting for answer How many cube roots does 0.216 have?
3 ##root3(.216)=.6## ##root3(.216)=0.3+0.519615 i## ##root3(.216)=0.30.519615 i##
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Waiting for answer What is the square root of (8) (squared)?
2 ##sqrt2## To find the ##sqrt8## you must find the highest factors that can be squared in this case##sqrt(4*2)## the ##sqrt4## is 2 therefore the answer is ##2sqrt2##
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Waiting for answer If a 12hour clock face reads exactly 7 o'clock, what time w...
##4" o'clock"## ##color(red)("Note that it is not stated if morning or evening!")## The time of 7 o'clock happens every 12 hours ##11997/12=999.75 " full cycles "larr" note that t...
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Waiting for answer How many feet is in .2 miles?
There are 5280 feet in 1 mile. ##[(color(green)1,color(blue)5280), ( color(blue).2,color(red)x)] ## cross multiply the blue, divide by green ##color(red)x## ##color(red)x= (color(blue)(2/(1cancel0)xx528cancel0)) : color(green)1 = 1056##
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Waiting for answer What is 42 degrees celsius in fahrenheit?
##107.6^@"F"## To convert from Celsius to Fahrenheit, multiply by ##9/5## and add ##32##. So: ##42^@"C" = 42*9/5+32 = 75.6+32 = 107.6^@"F"## To convert from Fahrenheit to Celsiu...
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Waiting for answer How do you factor ##2y^2+7y+6##?
##2y^2+7y+6## We can Split the Middle Term of this expression to factorise it In this technique, if we have to factorise an expression like ##ay^2 + by + c##, we need to think of two numbers such that: ##N_1*N_2 = a*c = 2.6 = 12## and ##N_1 +N_2 = b = 7## After trying out a few numbers we get ##N...
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Waiting for answer The length of the Titanic was 882 feet. Porter's history cla...
8.82 feet Let's set up the ratio. We know that the actual length of the ship was 882 feet and we want to know how long the model will be. We also have a ratio of 1 model length to ev...
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Waiting for answer How do you write 9/12 as a sum of unit fractions?
##9/12 = 1/2+1/4## This can be done in an unlimited number of ways. Which you choose depends on what you are trying to achieve. If you want to convey the meaning of "nine twelfths"...
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Waiting for answer A test has 40 questions. Denise finished ##2/5## of the ques...
Denise had answered ##28## questions after ##25## minutes. The first step is to see what ##2/5## of ##40## is ##2/5 * 40=16##. Then, we can subtract this number from ##40## #...
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Waiting for answer You and your friend are splitting a restaurant bill and leav...
$20 Lets put that question into an equation. ##a## = Your Payment ##b## = Your Friend's Payment ##x## = Bill What you're trying to find = ##1/2x## ##1/2x+5=a## ##1/2x+25%## of ##1/...
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Waiting for answer How do you find the square root of 324?
18 We make Prime Factors of ##324.## By doing so , we get : ##2*2*9*9## . Which is equal to ##2^2 * 9^2## . Both numbers have raised powers to 2 , so we can say it is equal to ##2 *...
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Waiting for answer A gas station is charging $1.299 per gallon of gas. what wou...
You can transform gallons into liters and you have that ##1 gallon=3.785 liters## so in 1 gallon (that costs 1.299 $) you have 3.785 liters. You now divide the price (of 1 gallon) by the number of liters you have in 1 gallon and you get the price per liter: ##1.299/3.785## $/liters##=0.343## $/liter...
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