Questions on Algebra: Absolute value answered by real tutors!

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Question 34954: Hi. I need to find the area of the following:

A triangle with two 45 degree angles.
Can you explain this please? Thanks

Click here to see answer by Prithwis(166) About Me 

Question 34951: Hi. Could you explain how to do the following problems using the Pythagorean Theorem to find x?
1. Triangle with legs of 4a and 3a, find x.
2. Equilateral triangle, with x running down the center.
Thanks for any help you can give.

Click here to see answer by venugopalramana(3286) About Me 

Question 35353: |7-1/2x|=-3 how do you solve this absolute value?
Click here to see answer by Cintchr(481) About Me 

Question 35464: Can anyone tell me how to: Find an equation of the circle with center (4,-3) and radius 5. I need to express the final equation in the form x squared + y squared + Dx + Ey + F = 0
Click here to see answer by Nate(3500) About Me 
Question 35464: Can anyone tell me how to: Find an equation of the circle with center (4,-3) and radius 5. I need to express the final equation in the form x squared + y squared + Dx + Ey + F = 0
Click here to see answer by rapaljer(4671) About Me 
Question 35464: Can anyone tell me how to: Find an equation of the circle with center (4,-3) and radius 5. I need to express the final equation in the form x squared + y squared + Dx + Ey + F = 0
Click here to see answer by stanbon(75887) About Me 

Question 35374: Hi, i was ask to Find the sum or difference of these problems:
(x^2-2x+7)+(-5x^2-3)i have an idea like to distribute the problem but i don't know if i should multiply or add
and find the the product of: 2x^2(x+3)i really am stuck with this promblem, should i multiply the 2x^2 with x and 3, i'm confused please help me.

Click here to see answer by rapaljer(4671) About Me 

Question 34016: Hi. How would I figure out the surface area for a right square pyramid with a length of 6.5 cm and the base being 2.5 cm?
I'm a little confused because on each triangular surface, it says 2.5 cm on each half. Does that mean I need to add them for each side, equalling 5 cm on each side?
Thanks

Click here to see answer by venugopalramana(3286) About Me 

Question 34021: My problem is:
The base of a right pyramid is a regular hexagon with sides of length 12 m. The altitude of the pyramid is 9 m. Find the total surface area of the pyramid.
Thanks for your help

Click here to see answer by venugopalramana(3286) About Me 

Question 35608: how do you solve problems with fractions in them? the problem is when manufacturing 7/16 inch bolts the difference between the size of the bolt and 7/16 inch must be at most 1/50 inch to be acceptable. write an inequality for the acceptable size of bolts using b for the bolt size.
Click here to see answer by rapaljer(4671) About Me 

Question 35776: |a+b|=|a|+|b| Are always true?
|a*b|=|a|*|b| Are always true?
|a+b|less than or equal to|a|+|b| Are always true?

Click here to see answer by venugopalramana(3286) About Me 

Question 35773: |a+b|=|a|+|b| Are always true?
|a*b|=|a|*|b| Are always true?
|a+b|greater or equal than|a|+|b| Are always true?

Click here to see answer by venugopalramana(3286) About Me 

Question 31444: 1) There are 10 people in the room. 6 are male and 4 are female. 5 of them have been arrested at some point in their lives. 4 of these five people are male. If you select 5 people at random what is the probability that at least 3 of them are males who have been arrested and at least one of them is a female who has not been arrested?
Click here to see answer by stanbon(75887) About Me 

Question 36279: Suppose you are going to have pizza with several friends. You are thinking of getting one large pizza - say its diameter is 16 inches. However, some people are vegetarians, and so you decide to get two little pizzas, each of which is 8 inches in diameter. Suddenly, someone asks, "Are we getting the same amount of pizza if we get two little pizzas instead of one large one?"
What do you think? Justify your response.
Can someone explain this to me? Thanks

Click here to see answer by narayaba(40) About Me 

Question 36274: Hi. Here is my problem:
A cubic box with no top is to be made of plywood. How many square feet of plywood are needed if the box is to hold 64 cubic feet?
Thanks for any help you can give.

Click here to see answer by checkley71(8403) About Me 

Question 36273: HI. Here is my problem:
Michico and Patricia are going to play a spinner game. These are the rules:
a) When it is a player's turn, she spins both spinners.
b) Then she adds the two numbers that the arrows point to.
c) If the sum is odd, Michico wins, even if it was not her turn.
d) If the sum is even, Patricia wins, even if it was not her turn.
Patricia tries a test spin first. Here is what she spins: The sum from the first spin is 3, because 3 + 0=3, Michico wins. Michico says, "I like this game. I have a better chance to win than you do." Patricia says, "No, I have a better chance to win than you do."
Use mathematics to decide which girl is right.
Thanks!

Click here to see answer by checkley71(8403) About Me 

Question 36276: Here is the problem:
Suppose you buy a new car whose advertised average mileage is 25 miles per gallon. After driving your car for several months, you find that its mileage is 21.4 mpg. You phone the manufacturer and learn that the standard deviation of gas mileage for all cars of the model you bought is 1.15 mpg. Does it appear that your car is getting unusually low gas mileage? Explain your reasoning.
Thanks!

Click here to see answer by stanbon(75887) About Me 

Question 36374: In real life terms; what's the importance or value of knowing the communative and associative properties of an expression?
Click here to see answer by cininnatus(12) About Me 

Question 36272: hi. Could you help me understand standard deviation? Here is my problem:
Consider the following data set: 28, 34, 41, 19, 17, 23.
a) Compute the mean and standard deviation of the data set
b) Suppose each value is mulitplied by two and then 5 is added to each of the values after each is multiplied by two. Compute the mean and standard deviation of this new data set.
Thanks for your help!!!

Click here to see answer by venugopalramana(3286) About Me 

Question 36962: Hi. How would I go about solving this?:
Michico and Patricia are going to play a spinner game. These are the rules:
a) When it is a player's turn, she spins both spinners.
b) Then she adds the two numbers that the arrows point to.
c) If the sum is odd, Michico wins, even if it was not her turn.
d) If the sum is even, Patricia wins, even if it was not her turn.
Patricia tries a test spin first. She spins:
The sum from the first spin is 3, because 3+0=3. Michico wins.
Michico says, "I like this game. I have a better chance to win it than you do."
Patricia says, "No, I have a better chance to win than you do."
Use mathematics to decide which girl is right.
Thanks for your help!

Click here to see answer by checkley71(8403) About Me 

Question 36963: Hi. I just asked this question, but forgot to add that the numbers on the spinners are as follows: spinner #1 - 8,3,4 and spinner #2 - 0,1,4
Michico and Patricia are going to play a spinner game. These are the rules:
a) When it is a player's turn, she spins both spinners.
b) Then she adds the two numbers that the arrows point to.
c) If the sum is odd, Michico wins, even if it was not her turn.
d) If the sum is even, Patricia wins, even if it was not her turn.
Patricia tries a test spin first. Here is what she spins: The sum from the
first spin is 3, because 3 + 0=3, Michico wins. Michico says, "I like this
game. I have a better chance to win than you do." Patricia says, "No, I have a
better chance to win than you do."
Use mathematics to decide which girl is right.

Thanks!

Click here to see answer by checkley71(8403) About Me 

Question 37861: The area of a triangle is 250 in^2. Find the lengths of its legs if one leg is 5 inches longer than the other.
i know area is 1/2bh. let x=shorter leg and x+5=longer leg so i know area=1/2*x*x+5=250 i need to solve for x.

Click here to see answer by fractalier(6550) About Me 
Question 37861: The area of a triangle is 250 in^2. Find the lengths of its legs if one leg is 5 inches longer than the other.
i know area is 1/2bh. let x=shorter leg and x+5=longer leg so i know area=1/2*x*x+5=250 i need to solve for x.

Click here to see answer by Kathy(4) About Me 

Question 37896: |z - 1| < 4
Click here to see answer by AnlytcPhil(1807) About Me 

Question 38434: \x-6\=10
Click here to see answer by fractalier(6550) About Me 

Question 38838: hello, i need help with this problem; find any values for which

2y+3
-------- is undefined.
y^2-6y+5

Click here to see answer by Nate(3500) About Me 

Question 39531: The sum m & n ,divided by the difference of m & n
Click here to see answer by fractalier(6550) About Me 

Question 39530: The sum m & n ,divided by the difference m & n
Click here to see answer by fractalier(6550) About Me 

Question 39535: One of our sample problems is.. and i'm lost:

Identify the property that is used

5 (6+7)=5+ (7+6)

Click here to see answer by fractalier(6550) About Me 

Question 39425: I am having trouble solving absolute value inequalities which involves exponents.
1. |x - 1| = |x to the second power - 2x +1|
2. |x to the second power + x - 2| < x + 3
Your help will be appreciated.

Click here to see answer by kev82(151) About Me 

Question 39825: solve the equation: |0.1x - 0.2| = |0.2x - 0.4|
Click here to see answer by AnlytcPhil(1807) About Me 

Question 40047: For the following set, which number has the largest absolute value?
4, –1, 12, –20, 19, 0

Click here to see answer by fractalier(6550) About Me 

Question 40102: when do you cross multiply fractions and when do you just multiply the numerators and denominators
Click here to see answer by fractalier(6550) About Me 

Question 40274:

Which number has the largest and smallest absolute value

-2,6,-1,0,3,5

Click here to see answer by mbarugel(146) About Me 

Question 40272:

Which number lies farthest from the origin?

.8, 3, - 4, 9

Click here to see answer by fractalier(6550) About Me 

Question 40275:

Which number has the largest and smallest absolute value

.9,0,-2,3,6

Click here to see answer by fractalier(6550) About Me 

Question 40273:

Which number lies farthest from the origin?

-2,6,-1,0,3,5

Click here to see answer by fractalier(6550) About Me 

Question 40271:


what is the smallest and biggest
.8, 3, - 4, 9
isn't -4 the smallest #, and .8 the bigest

Click here to see answer by fractalier(6550) About Me 

Question 36619: What is the answer to "Simplify: 5/x+2 - 8/x+4"
Click here to see answer by fractalier(6550) About Me 

Question 40134: |9-12i|
|15-20i|
|8+15i|

Click here to see answer by fractalier(6550) About Me 

Question 40386: Why is an absolute value never a negative number?

Click here to see answer by Nate(3500) About Me 

Question 40768: prob. 74_
solve and graph the solution for the inqualities.
7(x-3) >5x -14
<------------>

Click here to see answer by longjonsilver(2297) About Me 

Question 40132: |6-12|
|-5|+|-4|
|-10i|

Click here to see answer by fractalier(6550) About Me 

Question 41050: 3-2-7+4
the 2-7+4 is in the absolute value brackets

Click here to see answer by fractalier(6550) About Me 

Question 41138: What are the steps to answer:
4|2y-7|+5=9

Click here to see answer by fractalier(6550) About Me