# Algebra Homework Answers & Questions

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• Waiting for answer At an ice cream parlor, ice cream cones cost $1.10 and sunda... At an ice cream parlor, ice cream cones cost$1.10 and sundaes cost $2.35. One day, the receipts for a total of 172 cones and sundaes were$294.20. How many cones were sold? You purchase 8 gal of paint and 3 brushes for $152.50.The next day, you purchase 6 gal of paint and 2 brushes for$113.00....

• Waiting for answer If the ﬂour to sugar ratio is 5 cups ﬂour to 1 cup sugar, th...

##2/5## cups are needed. You write it out as a ratio. ##(5/1)=(2/x)## You cross-multiply. ##5x=2*1## Simplify. ##5x=2## Divide each side by five to find the value of x. ##x=2/5## ##2...

• Waiting for answer An equilateral triangle is circumscribed about a circle of r...

The perimeter of the triangle is 180 units. In the above image equilateral triangle ABC is circumscribed about a circle with radius ##=10sqrt3## units. Notice that the sides of the...

• Waiting for answer What is the square root of 17 divided by 2 equal?

##sqrt17/2## or ##2.061552812809## ##sqrt17/2## This is already a simplified as possible without using a calculator, which gives you ##2.061552812809##.

• Waiting for answer How do you simplify ##sqrt(120/121)##?

##sqrt((120)/(121))## = ##sqrt(120)/(sqrt(121))## ##sqrt(121) = 11 ## ##sqrt(120)## = ##2sqrt(30)## therefore, ##sqrt((120)/(121))## = ##(2sqrt(30))/(11)##

• Waiting for answer How do you find the vertex of a parabola ##g(x) = x^2 - 4x +...

I found (coordinates of the vertex): ##x_v=2## ##y_v=-2## You have two main ways to find the coordinates of the vertex: 1] your parabola is in the form ##ax^2+bx+c## Where: ##a=1## #...

• Waiting for answer What are the factors of 29?

##29## has positive factors ##1## and ##29## It is a prime number. ##29## is only divisible by the positive numbers ##1## and ##29##, so it is a prime number.

• Waiting for answer How do you write 2/5 as a percent?

##2/5 = 0.4 =40%## A percent is a value given out of a total of 100. Find an equivalent fraction for ##2/5## ##2/5 xx 20/20 = 40/100## ##40/100 =40%## You can also multiply by##1...

• Waiting for answer How do you write 720 as a product of its prime factors?

##720 = 2^4 xx3^2 xx5## You can do the "ladder method"of continuous short division, making sure that you only divide by . I prefer to just use 2 factors to start with and then split...

• Waiting for answer How do you convert 96 kg to g?

For 96 kg we have 96000 grams There are 1000 grams in 1 kilogram One way to approach this is to use ratio and I am going to present the ration in the format of a fraction. Note that...

• Waiting for answer How do you convert 1,950,000,000 mm to km?

##1,950,000,000mm = 1,950Km## When you convert a value to a bigger unit, the number gets smaller. (There are fewer of them.) This is done by dividing When you convert a value to a s...

• Waiting for answer An orange costs $.09. How much would 2 dozen oranges cost? Another way of thinking about it that may help you do things like this in your head. If you wished to do so. ##$2.16## ##color(brown)("There is no reason why you should not write do...

• Waiting for answer How do you write 10 to the 1.5th power?

##10^(1.5) = +-10sqrt(10)## ##10^(1.5) = 10^(3/2)## ##color(white)("XX")= (10^(1/2))^3## ##color(white)("XX")=(+-sqrt(10))^3## ##color(white)("XX")=(+-sqrt(10))^2xx(+-sqrt(10))^1#...

• Waiting for answer How many centimeters is 5.67 inches?

So 5.67 inches is 14.408 cm The explanation takes a lot longer than the actual calculation. If you are ever not sure what to do with conversion use ratio. Also look at the way the u...

• Waiting for answer Find the remainder when ##(x-3)^200 - (x-2)^100## is divided...

##r(x) = -2x+5## Calling ##P(x) = (x-3)^200 - (x-2)^100## and ##p(x) =x^2 -5x+6 = (x-2)(x-3) ## we have ##P(x) = p(x)Q(x)+r(x)## in which ##Q(x)## is the quocient polynomial and...

• Waiting for answer How do you solve compound inequalities?

The same way you would solve normal inequalities, only there are more sides to the inequality now. So it would look something like this: SOMETHING ≤ X SOMETHING ELSE Remember: what you do to one side you do it ALL sides 1.##-3≤2x-1 5## 2.##-3+1≤2x-1+1 5+1## 3.##-2/2≤(2x)/2 6/2## 4.##-1≤x 3#...

• Waiting for answer How many planes can be made to pass through three distict po...

If the points are colinear then an infinite number of planes can be made to pass through them. If three distinct points are non-colinear then exactly one plane passes through them. L...

• Waiting for answer What is 29 degrees celsius in fahrenheit?

##color(blue)("Fahrenheit temperature "=(29xx9/5)+32 = 84.2^o F )## The numbers to remember are 5, 9 and 32 Fahrenheit are the lager number when comparing like temperature for like...

• Waiting for answer How do you find the square root of 81?

It is ##\pm9##. ##81=9*9## then the square root of ##sqrt(81)=9##. Because the double multiplication for the same sign is always positive, the square root is also valid with the othe...

• Waiting for answer How many red cards must be added to 6 black cards so that th...

15 We have (B)lack cards and (R)ed cards. We start with ##B=6## and want to add R so that the odds of drawing 2 R, without replacement, is ##1/2##. How many R must we add? The odds...

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