Algebra Homework Answers & Questions

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  • Waiting for answer What are the factors of 120?

    1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120,

  • Waiting for answer A parka that sold for $65 is marked up to $70.20. What is th...

    Markup: ##8%## Amount of markup: ##color(white)("XXX")70.20-65.00 = 5.20## Markup as a percentage of original price ##color(white)("XXX")5.20/65.00xx100 = 8##

  • Waiting for answer What does consistent and inconsistent mean in graphing?

    Two curves are consistent if it is possible for some point to be on both. (Being on one curve is consistent with being on the other.) There is an intersection. (Possibly many intersections.) Two curves are inconsistent is it is impossible for any point to be on both. (Being on one curve is inc...

  • Waiting for answer What is ##abs(-9)##?

    ##abs(-9) = 9## If ##x 0## then ##abs(x) = x 0## If ##x = 0## then ##abs(x) = 0## If ##x 0## then ##abs(x) = -x 0## For all ##x## we have ##abs(x) = 0## ##abs(x)## is th...

  • Waiting for answer How do you graph the direct variation equation ##y=5/2x##?

    To graph the ##y=5/2x##, determine two points on the line. If ##x=0, y=(5/2*0)=0## Point = ##(0,0)## If ##x=2, y=(5/cancel 2*cancel 2/1)=5## Point = ##(2,5)## Plot the two points and draw a straight line through the points. graph{y=5/2x [-7.605, 12.395, -3.345, 6.655]}r

  • Waiting for answer A dollar bill is 15.6 cm long. If 200 dollar bills were laid...

    31.2 m First, you would multiply 15.6 by 200 because you have 200 dollar bills that are each 15.6cm long. The resulting length is 3,120 cm. Now, you have to convert cm to meters beca...

  • Waiting for answer How do you simplify ##sqrt((1/18))##?

    ##sqrt(2)/6## It is a matter of splitting the numbers up into factors that have a root if you can. Then taking these outside of the root by applying that root. What factors are th...

  • Waiting for answer What is the difference between proper and improper fractions...

    If the top number (numerator) is larger than the bottom number (denominator) it is an improper fraction. If the top number is less than the bottom number, it is proper fraction. A mixed number is a whole number and a fraction. Proper: ##3/8## Improper: ##8/3## Mixed: ##2 2/3##

  • Waiting for answer Given that ##a-b=10## and that ##2 * (a+b)^2=64##, what is...

    ##a+b = +-4sqrt(2)## Given that: ##2*(a+b)^2 = 64## Divide both sides by ##2## to find: ##(a+b)^2 = 32## Hence: ##a+b = +-sqrt(32) = +-sqrt(4^2*2) = +-4sqrt(2)## ##color(...

  • Waiting for answer How to use the distance formula to find the radius of a circ...

    : ##sqrt((x_2-x_1)^2+(y_2-y_1)^2## If your two points are the center and a point on the circle... Since the distance from any point on the circle to the center is considered the r...

  • Waiting for answer What is the difference between solving absolute value equati...

    The difference between the two is the symbols used. In absolute value equations you use an equal sign to show that the two sides are equal. (Ex. 10x+7 = 37) In absolute value inequalities you use a greater than or less than sign to show that one side is greater than or less than the other side. (Ex...

  • Waiting for answer If the area of a square is 225 cm2, what is perimeter?

    The area of square is ##A=a^2## where a the length of a side.Hence ##A=225= a^2=225= a=15## Hence the perimeter is ##4*a=4*15=60##

  • Waiting for answer What is the opposite and reciprocal of 3/5?

    opposite of any number is the same number but with opposite sign ∴opposite of ##color(blue)(3/5## is ##color(blue)(-3/5## to generalise, the reciprocal of number ##x##(any number) is ##1/x## here note that the sign of the number does not change at all. so, the reciprocal of ##color(red)(3/5## is #...

  • Waiting for answer How do you solve rational equations ##[(x+2) / (x-1)] = [1/2...

    ##x=-5## When we have a fraction equal to another fraction we can use the method of ##color(blue)"cross-multiplication"## to solve. That is ##(color(red)(x+2))/(color(blue)(x-1))=c...

  • Waiting for answer How do you find the circumference of a circle with diameter...

    ##7.2 pi## cm The formula for the circumference of a circle is: ##Circumference = 2 xx pi xx Radius## or ##Circumference = pi xx Diameter## You're given the diameter, so we can u...

  • Waiting for answer How do you graph the equation by plotting points y+2=0?

    ##y+2=0## is equal to ##y=-2##; so you just have to plot a line passing on the coordinate ##y=-2## and parallel to the ##x## axis

  • Waiting for answer There are 365 days in a year. How do you find the number of...

    1095 Given that there are ##365## days in a year. Simply multiply ##365## by ##3##: ##365xx3=1095## Therefore, three years is a total of ##1095## days. Answer: ##1095##

  • Waiting for answer 2x. -5 when X equals 3?

    ##1## To evaluate ##2x-5## at ##x=3##, we replace every instance of ##x## in the given expression with a ##3##. ##2color(red)(x)-5 - 2color(red)((3))-5## Then we evaluate the new...

  • Waiting for answer What is an equation of the line that passes through the poin...

    ##y = -2x - 13## Perpendicular lines ##L## and ##L'## with slopes ##m## and ##m'##, respectively, have the following property with the slopes ##m = -1/m## In case the is 0, the sl...

  • Waiting for answer How to solve two step equations ##-9x+1=-80##?

    Take ##1## to th right changing sign: ##-9x=-1-80## ##-9x=-81## Divide both sides by ##-9##: ##x=-81/-9=9##

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