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Recent problems solved by 'rwm'

rwm answered: 913 problems
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Rectangles/438794: My rectangle is 18 X 19.5, which equals 351. If I double the area to 702, what are the proportionate side measurements?
1 solutions

Answer 303367 by rwm(914) on 2011-04-21 11:21:13 (Show Source):

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351 what?
702 what?
18 what?
19.5 what?
This problem is incomplete.
You could double either of the sides but not both.
so it could be 36*19.5 or 39*18
or many variations in between as represented by the line equation
18x+19.5y=702

Mixture_Word_Problems/438820: I need help with this problem... The manager of a bulk foods establishment sells a trail mix for $8 per pound and the premium cashews for $15 per pound. The manager wishes to make a 105-pound trail mix cashew mixture that will sell for $12 per pound. How many pounds of each should be used?
1 solutions

Answer 303365 by rwm(914) on 2011-04-21 11:13:55 (Show Source):

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t+c=105
8t+15c=105*12
c=60 t=45

Age_Word_Problems/438822: I need an equation which models how old in years you will be when you are 3 times as old as the younger person. Ages 41 and 12
1 solutions

Answer 303364 by rwm(914) on 2011-04-21 11:10:51 (Show Source):

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(41+x)=3*(12+x)
x=2.5
In 2.5 years I will be 3 times as old as the younger person.
41+2.5=43.5
12+2.5=14.5
3*14.5=43.5

Mixture_Word_Problems/438825: There were 34,000 people at a ballgame in Los Angeles. The day's receipts from $13 reserved seats and $6 general-admission seats were $239,000. How many of each type of seat were sold?
what equations would I use too?
1 solutions

Answer 303363 by rwm(914) on 2011-04-21 11:06:43 (Show Source):

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This is basically a mixture problem.
r+g=34000
13r+6g=239000
g=29000
r=5000

Miscellaneous_Word_Problems/438831: If I had 4230 lbs of furniture how many square feet of home is that equal to?
1 solutions

Answer 303362 by rwm(914) on 2011-04-21 11:03:40 (Show Source):

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This is a fake question.
There is no relationship of weight of furniture and size of home.

Equations/438829: Could someone please help me solve this equation? One canned juice is 15% orange juice, another is 10% orange juice.How many liters of each should be mixed together in order to get 5 liters that is 11% orange juice?
1 solutions

Answer 303361 by rwm(914) on 2011-04-21 11:01:41 (Show Source):

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.15x+.10*y=5*.11
x+y=5
x=1
y=4

Rectangles/438801: The area of a rectangle is 240 sq in. The length is twice the width. What is the area of the rectangle?
1 solutions

Answer 303357 by rwm(914) on 2011-04-21 10:54:37 (Show Source):

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L*w=240
L=2w
2w*w=240
w*w=120
w=sqrt(120)
w=sqrt(12*10)
w=2 sqrt(30)=10.95
L=4 sqrt(30)=2*10.95=21.90

Angles/437563:  The measure of the third angle of a triangle is 38 degrees more than the second angle. The measure of the first angle is two less than twice the second angle, Find the measure of each angle.

1 solutions

Answer 302699 by rwm(914) on 2011-04-18 20:09:56 (Show Source):

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a+b+c=180
c=b+38
a=2b-2
a=70, b=36, c= 74

Travel_Word_Problems/437552: Eric drives at 65 mph for 7 hours. Which proportion can be used to find the total distance in miles?
A.)5/1=7/d
B.)55/d=7/1
C.)55/7=d/1
D.)55/1=d/7
1 solutions

Answer 302690 by rwm(914) on 2011-04-18 19:48:57 (Show Source):

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r*t=d
65*7=d
65/1=d/7
65/d=1/7
D) is the closest but has 55 instead of 65

Polynomials-and-rational-expressions/437541: How would I factor xsquared - 15x + 36
x2 - 15x + 36
1 solutions

Answer 302686 by rwm(914) on 2011-04-18 19:35:03 (Show Source):

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find factors of 36 that add up to -15
both will be minus
-36 and -1= -37
-18 and -2 =-20
-12 and -3=-15
x^2-3x-12x+36
x*(x-3)- 12(x-3)
(x-3)*(x-12)

Money_Word_Problems/437525: I really need help in how to solve this word problem please:
Here it is: Together Fred,Sam and Joe have $31. Use a system of equations to find the amount of money that Joe has if Sam has $3 less than Fred and Joe has $1 more than Fred and Sam combined.

1 solutions

Answer 302676 by rwm(914) on 2011-04-18 19:18:10 (Show Source):

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f+s+j=31
s=f+3
j=f+s+1
f=6
j=16
s=9
check
16=6+9+1
6+3=9
16+6+9=31
ok

Numbers_Word_Problems/437519: if a two-digit number is multiplied by the sum of its digits the result is 198.If it is divided by the sum of its digits, the result is 5 1/2. find the number.
1 solutions

Answer 302674 by rwm(914) on 2011-04-18 19:12:53 (Show Source):

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(10a+b)*(a+b)=198
(10a+b)/(a+b)=5.5
a=3 and b=3
so the number is 33
check
33*6=198
33/6=5.5

Rectangles/437527: What are the dimensions of a rectangle with an area of 600m sq. + how did you get the answer?
1 solutions

Answer 302671 by rwm(914) on 2011-04-18 19:08:30 (Show Source):

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not enough info
it could range from 600 by 1, 300 by 2, 150 by 4, 75 by 8, or fraction

Rate-of-work-word-problems/437508: Sally takes 4 hours to paint and john takes 6 hours how long will it take both to paint the hours
1 solutions

Answer 302668 by rwm(914) on 2011-04-18 18:55:39 (Show Source):

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in one hr sally can paint 1/4 of the house
in one hr john can paint 1/6 of the house
x/4+x/6=1
3x/12+2x/12=1
5x/12=1
5x=12
x=12/5 hrs or 2 2/5 hr or 2 hrs 24 minutes

Human-and-algebraic-language/437520: Tasty Bakery sells three kinds of muffins:chocolate chip muffins at 35 cents each, oatmeal muffins at 40 cents each, and cranberry muffins at 45 cents each. Charles buys some of each kind and chooses twice as many cranberry muffins as chocolate chip muffins. If he spends $4.90 on 12 muffins, how many oatmeal muffins did he buy?
1 solutions

Answer 302666 by rwm(914) on 2011-04-18 18:52:14 (Show Source):

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c+o+r=12
35c+40o+45r=490
r=2c
2=c
6=o
4=r

Polynomials-and-rational-expressions/437517: Find all numbers for which the rational expression is undefined
2/8v + 5
1 solutions

Answer 302664 by rwm(914) on 2011-04-18 18:48:09 (Show Source):

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Is it (2/8)*v+5
no value would be undefined
or
(2/(8*v))+5
v=0 is undefined
or
2/(8v+5)
8v+5=0
8v=-5
v=-5/8 makes the expression undefined

Rectangles/437515: What is the area of the rectangular cage with a side of length 10meters? I do not understand this?!!!
1 solutions

Answer 302660 by rwm(914) on 2011-04-18 18:41:53 (Show Source):

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not enough info.
rectangle prism (a cage) will have several sides of different lengths
cubes have all sides the same.

Linear-systems/437456: Which system has no solution?
A)y=2x+3, y=3x+2
(B) y=4x+3, y=4x-3
(C) y=1/2x, y=1/20x

(D) y is greater than 3, x is less than 2
1 solutions

Answer 302658 by rwm(914) on 2011-04-18 18:39:00 (Show Source):

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B because the slope m is 4 for each which means they are parallel and never cross.
y=mx+b

Miscellaneous_Word_Problems/437502: On a math test the total number of points possible is 100 points. There are 36 questions on the test. Questions are worth 1 point, 3 points, or 5 points. The number of 3- point questions is twice the number of 1-point questions. How many 5-point questions are there on the test?
1 solutions

Answer 302655 by rwm(914) on 2011-04-18 18:35:40 (Show Source):

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a+b+c=36
a+3b+5c=100
b=2a
a=10
b=20
c=6
check
10+60+30=100
ok

Numbers_Word_Problems/437504: On a math test the total number of points possible is 100 points. There are 36 questions on the test. Questions are worth 1 point, 3 points, or 5 points. The number of 3- point questions is twice the number of 1-point questions. How many 5-point questions are on the test?
1 solutions

Answer 302651 by rwm(914) on 2011-04-18 18:30:28 (Show Source):

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This was asked three minutes before

expressions/437459: 2(x-5)=-11
Would x be negative 3?
1 solutions

Answer 302642 by rwm(914) on 2011-04-18 18:12:53 (Show Source):

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no it is not -3
What would make you think that?
2*(-3-5)=-11
2*(-8)=-11
-16=-11
-16 isn't -11
It doesn't work

Age_Word_Problems/437496: In 4 years, Mike will be 3 times as old as Chris will be. The sum of their ages now is 56. I just need to know how to set this equation up! Is there a method for all problems like this?
1 solutions

Answer 302640 by rwm(914) on 2011-04-18 18:08:26 (Show Source):

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(m+4)=3*(c+4)
m+c=56
c=12 m=44
in 4 years
check
44+4=48=3*(12+4)=3*16=48
ok

Average/437465: Suppose Krishan's teacher says that he can drop one of his test scores of 80, 100, and 85, which one should he drop and why? What is his new average?
1 solutions

Answer 302635 by rwm(914) on 2011-04-18 17:57:30 (Show Source):

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Drop the 100 because Krishan obviously cheated on that one.
so the new average would be (80+85)/2=82.5
or drop the 80 (85+100)/2=92.5

Probability-and-statistics/437479: This is a stumper of a probability question.....There are 6 models of a new car. It comes in 14 different colors. If I want 6 cars and they want to know if I have any color preferences, I say no, I don't care as long as they are different colors-how many possible shipments could they send me?
I have tried combinations and I know it is not a permutation. Could it be 14*13**12*11*10*9...Help PLEASE!!!
1 solutions

Answer 302629 by rwm(914) on 2011-04-18 17:50:42 (Show Source):

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The question is poorly worded
There are six models and 14 colors
You only dealt with the colors and not 6 models.
You are allowing duplicates of models.

Polynomials-and-rational-expressions/437318: i need help with this problem.
4x^3+4x^2-29x+21 divided by 2x-3
1 solutions

Answer 302503 by rwm(914) on 2011-04-18 11:33:37 (Show Source):

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4x^3+4x^2-29x+21=(x-1)*(2x+7)*(2x-3)
so we get
(x-1)*(2 x+7)
or
2x^2+5x-7
here are the steps
2x-3 into 4x^3+4x^2-29x+21
first quotient is 2x^2
then 5x
4x^2-15x
then -7
-14x+21
with zero remainder

Problems-with-consecutive-odd-even-integers/437307:
3)The product of two consecutive intergers is 11 more than their sum. Find the intergers
1 solutions

Answer 302496 by rwm(914) on 2011-04-18 11:20:24 (Show Source):

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The word is integers not inteRgers.
You only get to ask one question at a time and no similar questions.
There are other students with questions.We are here to help not do your homework.
See rules.
question 3
let the first integer be x and the second be x+1
x*(x+1)=11+x+x+1
x^2-x-12=0
x=-3 x+1=-2
x=4 x+1=5
so there are two answers
-3 and -2
check
-3*-2=6
-3+-2=-5
6- -5=11
ok
4 and 5
check
4*5=20
4+5=9
20-9=11
ok

Trigonometry-basics/437308: I need help with these questions! Thank you so much!
1. Express sec 0- sin0tan0 in terms of cos 0.
a. cos0
b.1/cos^2(0)
c.1/2cos(0)
d.-cos(0)
2. Find the exact value of sin(60 degrees + 45 degrees)
a. (square root 6-square root 2)/4
b. (square toot 6+square root 2)/4
c.1/2
d.(square root 6-square root 2)/2
3. Find the exact value of (sin 138degrees)(cos 132degrees) + (cos 138degrees)(sin 132degrees)
a. 1
b. 0
c. -1
d. 1/2
4.Simplify cos(alpha + (pi/3))
a. cos alpha +1/2
b. 1/2cos alpha - square root 3/2 sin alpha
c. 1/2cos alpha + square root 3/2 sin alpha
d. square root 3/2 cos alpha-1/2 sin alpha
5. Write sin3x cos4x + cos3x sin4x in terms of a single trigonometric function.
a. square root 3
b. 0
c. undefined
d. 1
1 solutions

Answer 302490 by rwm(914) on 2011-04-18 10:53:30 (Show Source):

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Don't worry about the question . They are not that important Try to find the answers.
You get credit for the answers not the questions.

test/437301: what is the degree of -5a^2b +4a^2-2b+5
1 solutions

Answer 302488 by rwm(914) on 2011-04-18 10:49:56 (Show Source):

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This was asked just few minutes ago

Linear-systems/437302: I need to figure out how to find solution pairs so that I can turn them into points so I can graph them.
Here is an example: y=-3x
I tried the method substitute 0 for x and solve for y then substitute 0 for y and solve for x.
I don't understand this though
1 solutions

Answer 302485 by rwm(914) on 2011-04-18 10:36:42 (Show Source):

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If x=0 then y=0 (0,0)
if x=1 then y =-3 (1,-3)
if x=-1 then y=3 (-1,3)

Miscellaneous_Word_Problems/437279: Ramon rented a sprayer and a generator. on his first job, he used each piece of equipment for 6 hours at a total cost of $900. on his second job, he used the sprayer for 4 hours and the generator for 8 hours at a total cost of $100.what was the hourly cost of each equipment
1 solutions

Answer 302481 by rwm(914) on 2011-04-18 10:28:58 (Show Source):

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6s+6g=900
4s+8g=100
s+g=150
s+2g=25
s=150-g
s=25-2g
150-g=25-2g
125=-g
something is wrong with your numbers.
perhaps 90 instead of 900
s+g=15
s+2g=25
15-g=25-2g
g=10
s=5

Triangles/437287: A TRIANGLE HAS ONE ANGLE THAT MEASURES 16 DEGREES, ONE ANGLE THAT MEASURES 90 DEGREES, AND ANOTHER ANGLE THAT MEASURES 74 DEGREES. WHAT KIND OF TRIANGLE IS IT?
1 solutions

Answer 302473 by rwm(914) on 2011-04-18 10:12:53 (Show Source):

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All capitals is considered shouting. Why are you yelling?
It is a right triangle because it has a 90 degree angle.

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