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Equations/326851: What is the answer to 0.71-0.22= 1.03-0.62n
Thank you
1 solutions

Answer 234062 by Fombitz(13828) About Me  on 2010-07-29 14:01:17 (Show Source):
You can put this solution on YOUR website!
0.71-0.22=+1.03-0.62n
0.59=+1.03-0.62n
0.62n=1.03-0.59
0.62n=0.44
n=0.44%2F0.62
I'll leave the last step of division for you to do.


Polynomials-and-rational-expressions/326855: can you show me an example on how to work out the product of 3 less than twice x and 2 more than the quantity 3 times x?

1 solutions

Answer 234061 by Fombitz(13828) About Me  on 2010-07-29 13:59:27 (Show Source):
You can put this solution on YOUR website!
"3 less than twice x"=2x-3
"2 more than 3 times x"=2%2B3x
THe product of those is %282x-3%29%282%2B3x%29


Polynomials-and-rational-expressions/326856: According to equations, which order of operations do you do on each side of the equation?
1 solutions

Answer 234060 by Fombitz(13828) About Me  on 2010-07-29 13:57:44 (Show Source):
You can put this solution on YOUR website!
Independent of equation, the order of operations is Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction (PEMDAS).
For more explanation and examples, search the web for PEMDAS.


Angles/326806: measure of angle AOB=28, Measure of angle BOC=3x-2, measure of angle AOD=6x. What is x?
1 solutions

Answer 234059 by Fombitz(13828) About Me  on 2010-07-29 13:55:51 (Show Source):
You can put this solution on YOUR website!
What is the relationship between AOB, BOC, AOD?
Angles of a triangle?
Angles in a rectangle? square?
Please re-post.


logarithm/326726: Log16base4+log1base2+log1/9base3
1 solutions

Answer 234058 by Fombitz(13828) About Me  on 2010-07-29 13:54:36 (Show Source):


Miscellaneous_Word_Problems/326853: A total of 714 tickets were sold for the school play. There were 64 more student tickets sold than adult tickets. How many adult tickets were sold?

1 solutions

Answer 234057 by Fombitz(13828) About Me  on 2010-07-29 13:52:22 (Show Source):
You can put this solution on YOUR website!
Let A be the number of adult tickets, S student tickets.
1.A%2BS=714
2.S=A%2B64
Substitute eq. 2 into eq. 1,
A%2BA%2B64=714
2A=650
highlight%28A=325%29
.
.
S=325%2B64
highlight%28S=389%29


expressions/326838: what is -5<= x <=-2 or 2<=x looks like on the number line
is it
[-5,-2] union [2,infinity)?
I'm confused with the bracket and parentheses
1 solutions

Answer 234056 by Fombitz(13828) About Me  on 2010-07-29 13:48:30 (Show Source):
You can put this solution on YOUR website!
Bracket means include that value in the region.
Parenthesis means don't include that value in the region.
-5%3C=x%3C=2 means [-5,-2] the values between -5 and -2 including both -5 and -2.

.
.
.
x%3E=2 means [2,infinity) Value greater than 2 including 2. The parentheses is the normal convention since it's not really a value.


test/326821: X - 3y = -3
X^2+6y=5
1 solutions

Answer 234053 by Fombitz(13828) About Me  on 2010-07-29 13:34:46 (Show Source):
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You are solving for the intersection of a line with a parabola.
.
.
.
1.x-3y+=+-3
2.x%5E2%2B6y=5
Use eq.1,
3y=x%2B3
Substitute into eq. 2 (multiplied by 3),
x%5E2%2B2%28x%2B3%29=5
x%5E2%2B2x%2B6=5
x%5E2%2B2x%2B1=0
%28x%2B1%29%5E2=0
x%2B1=0
highlight%28x=-1%29
Then solving for y,
3y=-1%2B3
highlight%28y=2%2F3%29
.
.
.


Square-cubic-other-roots/326842: Is √a + √b = √a+b for all values of a and b?
1 solutions

Answer 234051 by Fombitz(13828) About Me  on 2010-07-29 13:27:33 (Show Source):
You can put this solution on YOUR website!
Let's find out.
Square both sides.
sqrt%28a%29%2Bsqrt%28b%29=sqrt%28a%2Bb%29
%28sqrt%28a%29%2Bsqrt%28b%29%29%5E2=a%2Bb
a%2B2sqrt%28ab%29%2Bb=a%2Bb
2sqrt%28ab%29=0
sqrt%28ab%29=0
Yes, it's true but only when a=0 or b=0 or both.
So in general, other than those special cases, it does not hold.


Triangles/326843: If the longer leg of a right triangle is 1 cm longer than the shorter leg and the hypotenuse is 5 cm then what are the lengths of the legs?
1 solutions

Answer 234050 by Fombitz(13828) About Me  on 2010-07-29 13:24:45 (Show Source):
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Let A and B be the legs.
B=A%2B1
H=5
Since it's a right triangle, use the Pythagorean theorem,
A%5E2%2BB%5E2=H%5E2
A%5E2%2B%28A%2B1%29%5E2=5%5E2
A%5E2%2BA%5E2%2B2A%2B1=25
2A%5E2%2B2A-24=0
A%5E2%2BA-12=0
%28A%2B4%29%28A-3%29=0
Only the positive solution makes sense for this problem,
A-3=0
highlight%28A=3%29
.
.
highlight%28B=4%29


Quadratic_Equations/326850: if the roots of a quadratic equation are (-3/2) and (4/5), find one possible equation
1 solutions

Answer 234049 by Fombitz(13828) About Me  on 2010-07-29 13:21:47 (Show Source):


Equations/326653: given:f(x)=(x^2-6x)/(2x^2-11x-6)
A. factor the numerator and the denominator
B. write domain in set builder notation
C. write the domain in interval notation
D. Simplify the expression
1 solutions

Answer 234022 by Fombitz(13828) About Me  on 2010-07-29 11:03:43 (Show Source):
You can put this solution on YOUR website!
DUPLICATE See Answer 233953


Miscellaneous_Word_Problems/326802: Can someone please explain this to me? I don't understand what to do.
Body Mass Index. Body mass index I can be used to determine whether an individual has a healthy weight for his or her height. An index between 18.5 and 25 indicates a healthy weight. Body mass index is given by the formula below, or model, where W is weight, in pounds, and H is height, in inches.

I=704.5W
H2
Margaret’s height is 63 in. Determine, in terms of an inequality, those weights W that will keep her body mass index below 25

1 solutions

Answer 234020 by Fombitz(13828) About Me  on 2010-07-29 11:01:35 (Show Source):
You can put this solution on YOUR website!
DUPLICATE See Answer 234019


Miscellaneous_Word_Problems/326803: Can someone please explain this to me?
Body Mass Index. Body mass index I can be used to determine whether an individual has a healthy weight for his or her height. An index between 18.5 and 25 indicates a healthy weight. Body mass index is given by the formula below, or model, where W is weight, in pounds, and H is height, in inches.

I=704.5W
H2
Margaret’s height is 63 in. Determine, in terms of an inequality, those weights W that will keep her body mass index below 25
1 solutions

Answer 234019 by Fombitz(13828) About Me  on 2010-07-29 11:00:36 (Show Source):
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BMI=704.5W%2FH%5E2
.
.
.
18.5%3C=+BMI%3C=25
18.5%3C=%28704.5W%29%2FH%5E2%3C=25
Plug in H=63,
18.5%3C=%28704.5W%29%2F63%5E2%3C=25
104.2%3C=W%3C=140.8


Probability-and-statistics/326792: A spends 2 hours on patient medications, 5 hours on patient checks and 1 hour helping doctors. If the next day is spent exactly as the previous, what are the chances of completing patient checks or helping doctors?
1 solutions

Answer 234016 by Fombitz(13828) About Me  on 2010-07-29 10:55:06 (Show Source):
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P(checks)=5/8
P(helping)=1/8
P(checks and helping)=6/8=3/4


Square-cubic-other-roots/326796: add 1/(√2)+1/(√3)
1 solutions

Answer 234014 by Fombitz(13828) About Me  on 2010-07-29 10:49:53 (Show Source):


Volume/326799: Find the volume of a half-sphere with radius 10 rounded to two decimal places. Thank you.
1 solutions

Answer 234013 by Fombitz(13828) About Me  on 2010-07-29 10:48:24 (Show Source):
You can put this solution on YOUR website!
The volume of a sphere is ,
V=%284%2F3%29pi%2AR%5E3=%284%2F3%29pi%2A%281000%29=4188.7902
Half of that volume would be
V%2F2=2094.40


Circles/326793: If a wheel that has a radius of 1 foot rolls 5 complete revolutions, how far will it travel? I know the answer is 2.5 ft, but I don't know how to get the answer. Thank you.
1 solutions

Answer 234012 by Fombitz(13828) About Me  on 2010-07-29 10:44:13 (Show Source):
You can put this solution on YOUR website!
For each revolution, the wheel moves a distance equal to the circumference of the circle.
D=2%2Api%2AR
So for 5 revolutions,
D=10%2Api%2AR=10%2Api%2A1=10%2Api or approximately
D=31.4ft
.
.
.
Verify: Use a CD and a ruler. Mark a point on the CD, roll it one revolution until you reach the same point on the CD, then measure the distance traveled using the ruler. It should be about 2%2Api%2AR.


Travel_Word_Problems/326760: A private airplane leaves Midway Airport and flies due east at a speed of 180 km/hr. two hours later, a jet leaves Midway and flies due east at a speed of 900 km/hr. how far from the airport will the jet overtake the private plane?
1 solutions

Answer 234008 by Fombitz(13828) About Me  on 2010-07-29 10:37:31 (Show Source):
You can put this solution on YOUR website!
Rate*Time=Distance
.
.
.
In that two hours, the first jet moved 360 km.
Find the distance for each plane when they meet D1=D2=D.
1.D=D1=180%2At%2B360
2.D=D2=900%2At
From eq. 2,
t=D%2F900
Substitute into eq. 1,
D=180%28D%2F900%29%2B360
D=0.2D%2B360
0.8D=360
D=360%2F0.8
highlight%28D=450%29km


Equations/326790: Write three rational numbers equal to 7/8
1 solutions

Answer 234007 by Fombitz(13828) About Me  on 2010-07-29 10:33:54 (Show Source):
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Multiply the numerator and denominator by any non-zero number to get an answer.
7%2F8=%287%2F8%29%282%2F2%29=14%2F16
Now do it two more times.


logarithm/326744: The number of dislocated eletric impulses per cubic inch in a transformer increases when lightning strikes by D=1900(2)^x where x is the time in milliseconds of the lightning strike.Find the number of dislocated impulses at x=0 and x=4
My answer is 1900 and 7600/.I need to know if this is wrong, please and what the right answer is.Thank you
1 solutions

Answer 234005 by Fombitz(13828) About Me  on 2010-07-29 10:32:31 (Show Source):
You can put this solution on YOUR website!
Your first answer is correct.
However D=7600 when x=2.
.
.
.
D%284%29=1900%282%29%5E4
D%284%29=1900%2816%29
D%284%29=30400


test/326754: The sum of the digits of a three-digit number is 15. If the digits are reversed the resulting number is 1029. If the resulting number is subtracted from the original the difference is 693. What is the original number??
1 solutions

Answer 234004 by Fombitz(13828) About Me  on 2010-07-29 10:29:59 (Show Source):
You can put this solution on YOUR website!
If the digits are reversed the resulting number is 1029.
What resulting number?
The sum of the digits is the same so what operation causes the resulting number.
Please re-post.


Square-cubic-other-roots/326779: 9 square root 50x^2
__divided by______
3 square root 2x^4
1 solutions

Answer 234003 by Fombitz(13828) About Me  on 2010-07-29 10:27:48 (Show Source):


Miscellaneous_Word_Problems/326635: Study Time and Test Grades. A mathematics instructor asserted that
students' test grades are directly proportional to the amount of time
spent studying. Brent studies 15 hr for a particular test and gets a score
of85. At this rate, what score would he have received ifhe had studied
16 hr?

1 solutions

Answer 234002 by Fombitz(13828) About Me  on 2010-07-29 10:25:35 (Show Source):
You can put this solution on YOUR website!
Grade is directly proportional to time.
G=k%2AT
85=k%2A15%7D%7D%0D%0A%7B%7B%7Bk=85%2F15=17%2F3
.
.
.
G=%2817%2F3%2916
G=90.6 or G=91


Polynomials-and-rational-expressions/326631: simplify the rational expression
4w^2-49z^2/14z-4w
1 solutions

Answer 234001 by Fombitz(13828) About Me  on 2010-07-29 10:22:45 (Show Source):
You can put this solution on YOUR website!
DUPLICATE See Answer 233893


Equations/326791: Write as a numeral:
Four hundred thirty-six millionths
1 solutions

Answer 234000 by Fombitz(13828) About Me  on 2010-07-29 10:19:53 (Show Source):


Linear_Algebra/326758: solve by the substatution method
5x+3y= -22
-7x+y=36
I am looking for the order pair
1 solutions

Answer 233999 by Fombitz(13828) About Me  on 2010-07-29 10:19:08 (Show Source):
You can put this solution on YOUR website!
DUPLICATE See Answer 233998


Linear_Algebra/326776: 5x+3y= -22
-7x+y=36
solve by substatution method
1 solutions

Answer 233998 by Fombitz(13828) About Me  on 2010-07-29 10:18:35 (Show Source):
You can put this solution on YOUR website!
From eq. 2,
y=7x%2B36
Substitute into eq. 1,
5x%2B3%287x%2B36%29=-22
5x%2B21x%2B108=-22
26x=130
highlight%28x=5%29
Now that you have x, use either equation to solve for y.


Equations/326781: The price of a product after a 15% discount is $255. What was the original price of the product?

Why doesnt 255 x 1.15 = work for this answer??
1 solutions

Answer 233997 by Fombitz(13828) About Me  on 2010-07-29 10:16:53 (Show Source):
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P%281-0.15%29=255
P=255%2F0.85
The reason is because 1.15 does not equal 1%2F0.85=1.1764


Equations/326783: find the additive and multiplicative inverse of the following:
12/23
1 solutions

Answer 233996 by Fombitz(13828) About Me  on 2010-07-29 10:15:11 (Show Source):


Rational-functions/326787: For the 2 functions, f (x) and g(x), tables of values are shown below. What is the value
of g(f (3)) ?
x f(x) x g(x)
–5 7 –2 3
–2 –5 1 –1
1 3 2 –3
3 2 3 –5
1 solutions

Answer 233995 by Fombitz(13828) About Me  on 2010-07-29 10:14:20 (Show Source):