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Recent problems solved by 'usyim88hk'
usyim88hk answered: 154 problems
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Rational-functions/34787: Can someone help me solve this by using the sqare root property?
(x+8)^2=81
1 solutions
Answer 21093 by usyim88hk(157)   on 2006-04-24 21:08:47 (Show Source):
You can put this solution on YOUR website!(x+8)^2 = 81
*square root both sides
(x+8) = 9 OR (x+8) = -9
**For (x+8) = 9
*subtract 8 from both sides
x = 1
**For (x+8) = -9
*subtract 8 from both sides
x = -17
So there are two answers for this equation
x = 1 or -17
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Sequences-and-series/34786: I am totally lost on this. Please help!
Write the first 5 terms of the sequence a(n)=n^2+1
Thanks in advance
1 solutions
Answer 21090 by usyim88hk(157) on 2006-04-24 21:03:44 (Show Source):
You can put this solution on YOUR website!ok, the first five terms means when n is equal to 1,2,3,4,and 5
so, when n is one, a(n) is 1^2 + 1 , whcih is 2
when n is two, a(n) is 2^2 + 1 , which is 5
when n is three, a(n) is 3^2 + 1, which is 10
when n is four, a(n) is 4^2 + 1, which is 17
when n is five, a(n) is 5^2 + 1, which is 26
~~~
So the first five terms are 2,5,10,17,and 26
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Triangles/34857: Hi,
Could someone please answer this for me
Tell whether a triangle with side of the given lengths 15,15,21.2
is 45,-45,-90 degrees 30,-60,-90 degrees or neither
I gave 45,-45,-90 and the answer was marked wrong.
Thanks
1 solutions
Answer 21084 by usyim88hk(157) on 2006-04-24 20:53:50 (Show Source):
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Equations/34369: A university bookstore recently sold a wirebound graph-paper notebook for $2.50, and a college-ruled notebook for $2.30. At the start of spring semester, a combination of 50 of these notebooks were sold for a total of $118.60. How many of each type were sold?
1 solutions
Answer 20690 by usyim88hk(157) on 2006-04-20 23:53:05 (Show Source):
You can put this solution on YOUR website!We can use Substitution to work on this problem:
~
Let x be the number of wirebound graph-paper notebook
Let y be the number of college-ruled notebook
~
So we now have an equation
x + y = 50
since the numbers of this two kinds of notebook add up to 50
~
now we can make another equation
2.5x + 2.3y = 118.6
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2.5x means the earning of the sold wirebound graph-paper notebooks
2.3y means the earning of the sold college-ruled notebooks
and they add up to 118.6
~
Now we can solve for x
x + y = 50
x = 50 - y
~
Now substitute x into the other equation
2.5x + 2.3y = 118.6
2.5 (50 - y) + 2.3y = 118.6
(x is equal to 50 - y so the x in the second equation become 50-y)
~
Now solve for y
2.5 (50 - y) + 2.3y = 118.6
125 - 2.5y + 2.3y = 118.6
125 - 0.2y = 118.6
125 = 118.6 + 0.2y
6.4 = 0.2y
y = 32
So the total numebr of sold college-ruled notebooks is 32, while the total number of sold wirebound graph-paper notebooks is 50 - 32 = 18
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Equations/34374: A man goes into a grocery store and buys a grapefruit and a toy ball. A 7% tax is applied to the price of non-food items. If the total bill is $5.15, including $0.18 in tax on the toy ball, what are the prices of the grapefruit and the ball?
1 solutions
Answer 20688 by usyim88hk(157) on 2006-04-20 23:44:06 (Show Source):
You can put this solution on YOUR website!We can first find out the price of the toy ball:
so $0.18 is 7% of the price of the toy ball, then
0.18 / 7% = $2.57 which is the price of the toy ball
then subtract the price of the toy ball from the total with the tax
$5.15 - $2.57 - $0.18= $2.40
So the price of the grape fruit is 2.40 and the price of the toy ball is 2.57.
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Probability-and-statistics/34415: Paul orders a pizza. Chef carl randomly chooses 2 different toppings to put on the pizza from the following: pepperoni, onion, sausage, mushrooms, and anchovies. if paul will not eat pizza with mushrooms, determine the probability that paul will not eat the pizza chef carl has made.
1 solutions
Answer 20686 by usyim88hk(157) on 2006-04-20 23:37:36 (Show Source):
You can put this solution on YOUR website!We can do it with a shortcut call "combination", but I will use the long way, call "list them all out!"
Different pizzas that Paul can order:
1) Peperoni, onion
2) Peperoni, sausage
3) Peperoni, mushrooms
4) Peperoni, anchovies
5) onion, sausage
6) onion, mushrooms
7) onion, anchovies
8) sausage, mushrooms
9) sausage, anchovies
10) mushrooms, anchovies
So now we can see that 4 out of 10 pizzas have mushrooms on them, so the probability will be 40%
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Numeric_Fractions/13222: how do you multiply this fraction 24 times 1/4
1 solutions
Answer 6622 by usyim88hk(157) on 2005-09-29 18:50:26 (Show Source):
You can put this solution on YOUR website!First you have to know what to multiply
:
24 times 1/4 means: 24 times 1 then divide by 4
:
So acctually it is 24 divided by 4 which is equal to 6
:
For antoher example: 24 times 5/6
:
24 times 5/6 means: 24 times 5 then divide by 6
:
So actually it is 24 times 5 which is equal to 120 then divide by 6 wich is equal to 20
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Miscellaneous_Word_Problems/13205: Please help - my son and I can not even begin how to figure this out and we have spent the last 2 hours searching on math web sites.
Here is the problem:
The gift shop placed an order for 42 t-shirts. They ordered 3 times as many large t-shirts as small t-shirts and twice as many medium t-shirts as small t-shirts. How many of each size did they order?
1 solutions
Answer 6620 by usyim88hk(157) on 2005-09-29 18:45:25 (Show Source):
You can put this solution on YOUR website!We can set up equations to find out what the answer is
Let x be the number of small T-shirts the gift shop ordered
So 2x is equal to the number of medium T-shirts
And 3x is equal to the number of large T-shirts
Now we know that there are 42 T-shirts in total, so
x+2x+3x = 42
now we can add the xs up
6x=42
Then divide both sides by 6
x=7
So the number of small T-shirts is 7
the number of medium T-shirts is 14
and the number of large T-shirts is 21
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Polynomials-and-rational-expressions/11482: {6^2+7[6-2(10/5)+3^2.2]}/4
Please help me solve this one.
1 solutions
Answer 5949 by usyim88hk(157) on 2005-09-17 20:34:59 (Show Source):
You can put this solution on YOUR website!First slove (10/5) which is equal to 2
{6^2+7[6-2(2)+3^2.2])/4
3^2.2 means you need a claculator and it is equal to 11.21
{6^2+7[6-2(2)+11.21])/4
Now multiply 2(2)which is 4
{6^2+7[6-4+11.21])/4
Add up 6-4+11.21
{6^2+7[13.21])/4
Now multiply 7[13.21] which equals to 92.47
{6^2+92.47)/4
6^2 equals 36
(36+92.47)/4
Add 36 and 92.47 which equals to 128.47
128.47/4
Devide
32.1175
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Money_Word_Problems/11486: Jared walks into a bakery and says to the owner, "I will buy half of all the pies in the store, plus half a pie." The sale is made. Phyllis then comes into the store and makes the same statement and purchase. Then Dexter does likewise. The owner then has exactly one pie left. How many pies did the owner have in the store at the outset?
1 solutions
Answer 5946 by usyim88hk(157) on 2005-09-17 20:23:58 (Show Source):
You can put this solution on YOUR website!First we know that the shop still has one pie left.
pie = 1
We know that Dexter bought half a pie, so add a half
pie = 1.5
Now times two since he bought half of the pies
pie = 3
Then Phyllis bought half of a pie, so add a half
pie = 3.5
and times 2 again
pie = 7
add another half
pie = 7.5
times two
pie = 15
:
SO the answer is 15 pie
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Numeric_Fractions/11496: Michelle ordered two pizzas. Each pizza was cut into eight slices of equal size. she gave 1/2 of a pizza to Chris, 3/8 of a pizza to John, 1/4 of a pizza to Sally. How many slices of pizza were left?
1 solutions
Answer 5943 by usyim88hk(157) on 2005-09-17 20:15:03 (Show Source):
You can put this solution on YOUR website!So we know that she ordered 2 pizzas which are cut into 8 pieces on each one, so we get 16 pieces of pizzas.
Since Chris got 1/2 of "a" pizza, he got 1/2 times 8 which equals to 4 pizzas
Since John got 3/8 of "a" pizza, he got 3/8 times 8 which equals to 3 pizzas
Since Sally got 1/4 of "a" pizza, she got 1/4 times 8 which equals to 2 pizzas
Since 9 pizzas were taken away, Micelle got 16 - 9 pizzas which is 7 pizzas
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Linear-equations/11452: How do you solve an equation that is set up like this 3/4 (x-5)= -12. I have tried multipling by what I believe is the LCD 4, I have tried dividing by 4/3. I still cannot get the right answer. Please help!
1 solutions
Answer 5941 by usyim88hk(157) on 2005-09-17 20:07:54 (Show Source):
You can put this solution on YOUR website!First of all, multiply 4/3 to both sides!
(4/3)(3/4)(x-5) = (-12)(4/3)
(x-5) = (-16)
then just add 5 to both sides
x-5+5 = -16+5
x = -11
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Triangles/2947: A right-angle triangle has hypoteneuse 10 inches, and the height drawn from the right angle to the hypoteneuse is 6 inches. Find the area of this right-angle triangle
1 solutions
Answer 1298 by usyim88hk(157) on 2005-06-01 18:46:14 (Show Source):
You can put this solution on YOUR website!First we should find the third side.
Let x be the length of the third side
10^2 = 6^2 + x^2
100 = 36 + x^2
64 = x^2
x = 8
So the third side is eight.
And now we can use the two sides other then the hypoteneuse to find the area of this triangle
8*6/2
= 24
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Linear-systems/2430: Here is my question:
Solve the system graphically
x+4y=32
3x+4y=-5
1 solutions
Answer 1035 by usyim88hk(157) on 2005-05-19 22:47:14 (Show Source):
You can put this solution on YOUR website!Still, first change them into slope-intercept form:
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x+4y = 32
4y = -x+32
y = (-1/4)x + 8
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3x+4y = -5
4y = -3x-5
y = (-3/4)x - (5/4)
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Quadratic_Equations/2432: Find three consecutive whole numbers such that the product of the first and the second is 23 more than the third.
1 solutions
Answer 1033 by usyim88hk(157) on 2005-05-19 20:04:55 (Show Source):
You can put this solution on YOUR website!let x be the smallest number
(x)(x+1) = (x+2)+23
because the product of first two numbers is equal to the third number plus 23
so now solve it
x^2+x = x+25
x^2 = 25
x = 5
So the three numbers are 5,6 and 7
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