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Angles/750928: can u answer this question for me: if i were 10 degrees larger, i would equal my complement 1 solutions
Answer 456889 by Alan3354(30993) on 2013-05-20 19:02:07 (Show Source):
You can put this solution on YOUR website! can u answer this question for me: if i were 10 degrees larger, i would equal my complement
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Equal complements --> 90/2 = 45 degs
--> 35 degs
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x + 10 = 90 - (x+10)
x + 10 = 90 - x - 10
2x = 70
x = 35 degs
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Money_Word_Problems/750932: how much money should be deposited today in an account that earns 8% compounded quarterly so that it will accumulate to $3800 in 12 years. Please give explanation/show work 1 solutions
Answer 456888 by Alan3354(30993) on 2013-05-20 18:58:41 (Show Source):
You can put this solution on YOUR website!how much money should be deposited today in an account that earns 8% compounded quarterly so that it will accumulate to $3800 in 12 years. Please give explanation/show work
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Solve for PV (Present Value)
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Expressions-with-variables/750512: Simplify "v" to the 6th power multiplied by "v" to the 3rd power, then "v" to the 6th power. Would the v6's cancel each other out? 1 solutions
Answer 456644 by Alan3354(30993) on 2013-05-19 18:47:34 (Show Source):
You can put this solution on YOUR website!Simplify "v" to the 6th power multiplied by "v" to the 3rd power, then "v" to the 6th power.
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Multiplying --> adding exponents.
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Would the v6's cancel each other out?
No, they're added. If one was -6, then they would "cancel." 6 + (-6) = 0
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Equations/750499: A phone number contains 7 digits. The product of these digits is an even perfect square. Given this, what can be the sum of these seven digits. 1 solutions
Answer 456639 by Alan3354(30993) on 2013-05-19 18:40:06 (Show Source):
You can put this solution on YOUR website!A phone number contains 7 digits. The product of these digits is an even perfect square. Given this, what can be the sum of these seven digits.
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There are many possibilities.
eg, 122 2222 --> 13
422 2222 --> 16
499 9999 --> 58
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Travel_Word_Problems/750453: How long is the distance of bird key park and Sarasota's Bay Front Park? 1 solutions
Answer 456636 by Alan3354(30993) on 2013-05-19 18:30:54 (Show Source):
You can put this solution on YOUR website!How long is the distance of bird key park and Sarasota's Bay Front Park?
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That's not something that can be calculated.
Look it up somewhere.
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PS "How long is the distance..." is gibberish
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Geometry_Word_Problems/750414: a 15 foot ladder leaning against a building touches the wall 12 feet above the ground. How far from the building is the bottom of the ladder 1 solutions
Answer 456616 by Alan3354(30993) on 2013-05-19 18:05:42 (Show Source):
You can put this solution on YOUR website!a 15 foot ladder leaning against a building touches the wall 12 feet above the ground. How far from the building is the bottom of the ladder
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It's a 3-4-5 right triangle, times 3.
--> 9 feet.
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Age_Word_Problems/750489: Hi, I need help on how to set this problem up to get the answer
Two times Antonio’s age plus three times Sarah’s age equals 34. Sarah’s age is five times the age of Antonio. How old is Sarah?
Thanks 1 solutions
Answer 456610 by Alan3354(30993) on 2013-05-19 17:58:40 (Show Source):
You can put this solution on YOUR website!Hi, I need help on how to set this problem up to get the answer
Two times Antonio’s age plus three times Sarah’s age equals 34. Sarah’s age is five times the age of Antonio. How old is Sarah?
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Write what it says.
Two times Antonio’s age plus three times Sarah’s age equals 34.
2A + 3S = 34
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Sarah’s age is five times the age of Antonio.
S = 5A
=================
Was that hard?
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Quadratic-relations-and-conic-sections/750473: Thank you so much. These are homework problems, and I am a straight-A student. I am not trying to be cheap, I just seriously don't understand it. I have tutoring tomorrow, and need to know how to do these by then. Thanks for your help. It is greatly appreciated! :)
1. The junior prom committee brought in $6300 through ticket sales last year. This year they
had hoped to increase attendance by lowering the ticket price by $3. They ended up selling 48 more tickets for a total of $5970.
a. What was the original price per ticket?
b. How many tickets were sold at the lower price?
2. When Raj shined his flashlight on the wall at an angle, it made an ellipse with a vertical major axis of 34 inches and a horizontal minor axis of 18 inches. Let the center of the ellipse be the origin of a coordinate system. Find an equation for the edge of the ellipse. 1 solutions
Answer 456597 by Alan3354(30993) on 2013-05-19 17:34:04 (Show Source):
You can put this solution on YOUR website!1. The junior prom committee brought in $6300 through ticket sales last year. This year they
had hoped to increase attendance by lowering the ticket price by $3. They ended up selling 48 more tickets for a total of $5970.
a. What was the original price per ticket?
h = # of tix at higher price
p = higher price
h*p = 6300
(h+48)*(p-3) = 5970
h = 6300/p
(6300/p + 48)*(p-3) = 5970
(6300 + 48p)*(p-3) = 5970p
(2100 + 16p)*(p-3) = 1990p
16p^2 + 2052p - 6300 = 1990p
8p^2 + 31p - 3150 = 0
| Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc) |
Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.
First, we need to compute the discriminant : .
Discriminant d=101761 is greater than zero. That means that there are two solutions: .


Quadratic expression can be factored:

Again, the answer is: 18, -21.875.
Here's your graph:
 |
==========================
p = $18 (original price)
==========================
b. How many tickets were sold at the lower price?
Tix at $18 = 6300/18 = 350
350 + 48 = 398 at the lower price
==================
2. When Raj shined his flashlight on the wall at an angle, it made an ellipse with a vertical major axis of 34 inches and a horizontal minor axis of 18 inches. Let the center of the ellipse be the origin of a coordinate system. Find an equation for the edge of the ellipse.
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18/2 = 9
34/2 = 17
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logarithm/750469: how do you solve this
2
log (x + 4 ) -log (x+2 ) = 3 + log (x - 2 )
10 10 10
should is start of with the quotient rule
or
bring all logs to one side first , take log (x-2) to the other side 1 solutions
Answer 456587 by Alan3354(30993) on 2013-05-19 16:56:07 (Show Source):
You can put this solution on YOUR website!log(x^2 + 4) - log(x+2) = 3 + log(x - 2)
log(x^2 + 4) - log(x+2) = log(1000) + log(x - 2)
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(x^2+4)/(x+2) = 1000(x-2)
x^2+4 = 1000(x^2-4) = 1000x^2 - 4000
999x^2 = 4004

x =~ 2.002
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Ignore the negative value of x
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Rate-of-work-word-problems/750400: ok here is my question, "one hose can fill a child's pool in 24min. A larger hose can fill the pool in 12 min. If the two hoses are used together, how long will it take to fill the pool?"
what I did and still got it wrong was 1/24+ 1/12 = 2/36 = 1/18 so i figured 18min but it cannot be possible if a single hose alone can fill it in 12 min 1 solutions
Answer 456554 by Alan3354(30993) on 2013-05-19 13:07:04 (Show Source):
You can put this solution on YOUR website!"one hose can fill a child's pool in 24min. A larger hose can fill the pool in 12 min. If the two hoses are used together, how long will it take to fill the pool?"
what I did and still got it wrong was 1/24+ 1/12 = 2/36 = 1/18 so i figured 18min but it cannot be possible if a single hose alone can fill it in 12 min
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You did the right thing, but
1/24+ 1/12 = 2/36 = 1/18 is not right.
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1/24 + 1/12 = 1/24 + 2/24 = 3/24 = 1/8
--> 8 minutes
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