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Maths68 answered: 1474 problems
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Linear-systems/554997: Alices restaurant has a total of 205 seats. Th enumber of seats in the non-smoking section is 73 more than twice the number of seats in the smoking section. How many seats are in each section?
1 solutions
Answer 361593 by Maths68(1474)   on 2012-01-10 01:49:19 (Show Source):
You can put this solution on YOUR website!Alices restaurant has a total of 205 seats. Th enumber of seats in the non-smoking section is 73 more than twice the number of seats in the smoking section. How many seats are in each section?
Number of seats in Smoking Section = x
Th number of seats in the non-smoking section is 73 more than twice the number of seats in the smoking section = 2x+73
Total seats = 205
x+(2x+73)=205
x+2x+73=205
3x+73=205
3x=205-73
3x=132
3x/3=32/3
x=44
Number of seats in Smoking Section = x = 44
Number of seats in the non-smoking section = 2x+73 = 2(44)+73 = 88+73 = 161
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Polynomials-and-rational-expressions/555016: The length of a rectangle is 3 inches greater than the width.
A. Write a polynomial that represents the area of the rectangle.
B. Find the area of the rectangle when the width is 4 inches.
1 solutions
Answer 361585 by Maths68(1474) on 2012-01-10 00:37:50 (Show Source):
You can put this solution on YOUR website!Length = l
Width = w
The length of a rectangle is 3 inches greater than the width = l = w+3
Area of rectangle = a
A. Write a polynomial that represents the area of the rectangle.
a=lw
a=w(w+3)
a=w^2+3w
w^2+3w-a=0
(B)
Find the area of the rectangle when the width is 4 inches
a=w^2+3w
w=4
a=(4)^2+3(4)
a=16+12
a=28 sq inches
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Linear-systems/555002: Ricks paint store sells a special shade of pink paint (Ricky's Blush) which can be made from red paint and white paint. The amount of red paint should be three times the amount of white paint. How much of each kind of paint is needed to make 264 gallons of Ricky's Blush?
1 solutions
Answer 361583 by Maths68(1474) on 2012-01-10 00:03:27 (Show Source):
You can put this solution on YOUR website!Amount of White paint is used = x
The amount of red paint should be three times the amount of white paint
Amount of Red paint is used = 3x
Amount of Riky's Blush = 264
White paint + Red paint = Riky's Blush
x+3x=264
4x=264
4x/4=264/4
x=66
Amount of White paint is used = x =66 gallons
The amount of red paint should be three times the amount of white paint
Amount of Red paint is used = 3x = 3*66 = 198 gallons
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Exponents-negative-and-fractional/554403: Please tell me how to make this problem into a fraction. the problem is -5 to the -3rd power . I have the givin answers on my paper to choose from and they are 1/125 , -1/125 , 1/15 , -1/15 . I do not understand how to work this problem.
1 solutions
Answer 361333 by Maths68(1474) on 2012-01-09 01:14:23 (Show Source):
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Travel_Word_Problems/554426: how long does it take to walk 3/5 miles
1 solutions
Answer 361329 by Maths68(1474) on 2012-01-09 00:54:27 (Show Source):
You can put this solution on YOUR website!According to Wikipedia, the free encyclopedia
"Although walking speeds can vary greatly depending on factors such as height, weight, age, terrain, surface, load, culture, effort, and fitness, the average human walking speed is about 5.0 kilometres per hour (km/h), or about 3.1 miles per hour (mph)."
Speed = 3.1 mph
Distance = 3/5 or 0.6 miles
Time = ?
Time = Distance / speed
Time = 0.6/3.1
Time = 0.1935 hours approximately.
It takes 0.1935 hours or 11.61 minutes to cover 3/5 miles.
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Numbers_Word_Problems/554416: The sum of three consecutive odd integers is greater than 30. What are the least possible values for the integers?
1 solutions
Answer 361328 by Maths68(1474) on 2012-01-09 00:39:59 (Show Source):
You can put this solution on YOUR website!Let
1st Interger = x+1
2nd Interger = x+3
3rd Interger = x+5
Given
The sum of three consecutive odd integers is greater than 30
x+1+x+2+x+3>30
3x+6>30
3x>30-6
3x>24
3x/3>24/3
x>8
1st Interger = x+1 = 8+1 = 9
2nd Interger = x+3 = 8+3 = 11
3rd Interger = x+5 = 8+5 = 13
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expressions/554419: what is the answer of
1.(x/2+y/3)(x/2-y/3)
2. 8m-{-[-(-2mn+n)+(-4n+6m)]}
3.-{-[y+(-2x+5y)-3x]+9y-6x}
1 solutions
Answer 361327 by Maths68(1474) on 2012-01-09 00:33:36 (Show Source):
You can put this solution on YOUR website!= 
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Human-and-algebraic-language/554392: The ages of three brothers are consecutive even integers. Three times the age of the youngest brother exceeds the oldest brothers age by 48 years. What is the age of the youngest brother?
1 solutions
Answer 361325 by Maths68(1474) on 2012-01-08 23:58:13 (Show Source):
You can put this solution on YOUR website!Let
Youngest brother age = x+2
Younger brother age = x+4
Oldest brother age = x+6
Given
-----
Three times the age of the youngest brother exceeds the oldest brothers age by 48 years
3(x+2)=x+6+48
3x+6=x+54
3x-x=54-6
2x=48
2x/2=48/2
x=24
Youngest brother age = x+2 = 24+2 = 26 years old
Younger brother age = x+4 = 24+4 = 28 years old
Oldest brother age = x+6 = 24+6 = 30 years old
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Linear-systems/554395: may you help me solve 2x+3y=13 3x+5y=10
1 solutions
Answer 361323 by Maths68(1474) on 2012-01-08 23:35:22 (Show Source):
You can put this solution on YOUR website!2x+3y=13 .........(1)
3x+5y=10 ..........(2)
Multiply (1) by 3 and (2) by 2
6x+9y=39.........(3)
6x+10y=20........(4)
Subtract (4) from (3)
6x+9y=39
-6x-10y=-20
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-y=19
Multiply above equation by (-1)
(-1)(-y)=(-1)(19)
y=-19
Put the value of y in (1)
2x+3y=13 .........(1)
2x+3(-19)=13
2x-57=13
2x=13+57
2x=70
2x/2=70/2
x=35
x,y=35, -19
Check
=====
Put the values of x and y in (1)
2x+3y=13 .........(1)
2(35)+3(-19)=13
70-57=13
13=13
Put the values of x and y in (2)
3x+5y=10 ..........(2)
3(35)+5(-19)=10
105-95=10
10=10
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Word_Problems_With_Coins/554389: A jar contains 18 coins, all quarters and dimes. If there are q quarters in the jar, find the total value of the coins in dollars.
1 solutions
Answer 361317 by Maths68(1474) on 2012-01-08 22:38:43 (Show Source):
You can put this solution on YOUR website!Quarters = q
Dimes = 18-q
Total Value in cents = 25*q + 10*(18-q)
Total Value in cents = 25q+180-10q
Total Value in cents = 15q+180
Total Value in cents = 15(q+12)
Total value in Dollars = 15(q+12)/100
Total value in Dollars = 3(q+12)/20
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Word_Problems_With_Coins/554385: mary has 30 coins made up of nickels and dimes. Together they are worth 2.40. How many nickels does mary have?
1 solutions
Answer 361316 by Maths68(1474) on 2012-01-08 22:31:13 (Show Source):
You can put this solution on YOUR website!Let
Mary has x number of Nickels
Mary has 30-x number of Dimes
Given
Sum of the coins = 2.40 * 100 (Convert $ into cents)
Sum of the coins = 240
Nickels+Dimes=Sum of the coins
5*(x)+10*(30-x)=240
5x+300-10x=240
-5x=240-300
-5x=-60
-5x/-5=-60/-5
x=12
Nickels = x = 12
Dimes = 30-x=30-12=18
Check
=====
= 12 * 5 + 10*18
= 60+180
= 240 cents
= 240/100 (Convert cents into $)
= $2.40
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Linear-systems/554380: x=6-4y
2x-3y=1
i dont know how to do these and i have 20 missing assignments please help!
1 solutions
Answer 361313 by Maths68(1474) on 2012-01-08 22:21:17 (Show Source):
You can put this solution on YOUR website!x=6-4y........(1)
2x-3y=1........(2)
Put the value of x in (2)
2(6-4y)-3y=1
12-8y-3y=1
-11y=1-12
-11y=-11
Divide by -11
-11y/-11=-11/-11
y=1
Put the value of y in (1)
x=6-4y
x=6-4(1)
x=6-4
x=2
Solution Set
x,y=2,1
Check
=====
Put the values of x and y in (1)
x=6-4y........(1)
2=6-4(1)
2=6-4
2=2
Put the values of x and y in (2)
2x-3y=1........(2)
2(2)-3(1)=1
4-3=1
1=1
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Graphs/553652: Write an equation of the line containing the given point and parallel to the given line. Express your answer in the form y = mx+b.
(-2,8; 9x = 5y + 2 The equation of the line is y= _____
Simplfy your answer. Use intergers for any numbers in the expression.
1 solutions
Answer 360991 by Maths68(1474) on 2012-01-07 01:30:18 (Show Source):
You can put this solution on YOUR website!Equation of the line slope-intercept form
y=mx+b
Given
Equation of the Given line
9x=5y+2
Rearrange above equation according to slope-intercept form
5y=9x-2
5y/5=(9x-2)/5
y=9/5(x)-2/5
Compare with the equation of line slope-intercept form
Slope of the given = m = 9/5
Since lines are parallel their slope will be same
Slope of the required line = m = 9/5
Point (-2, 8)
We have a point and slope we can get easily the require line equation.
Use Equation of the line point-slope form
m = y2-y1/x2-x1
Put the values in above equation, we have
9/5=(y-8)/(x-(-2))
9/5=(y-8)/(x+2)
9(x+2)=(y-8)5
9x+18=5y-40
9x+18+40=5y
9x+58=5y
(9x+58)/5=5y/5
9/5(x)+58/5=y
y=9/5(x)+58/5
Above equation is the equation of the required line in the form of y=mx+b
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Linear-equations/553662: The intercepts of a line are shown below.
x-intercept = 4
y-intercept = -2
What is the slope of this line?
1 solutions
Answer 360985 by Maths68(1474) on 2012-01-07 01:06:17 (Show Source):
You can put this solution on YOUR website!When
x-intercept = 4, y=0
y-intercept = -2, x=0
So we have two points
Points (4,0) and (0,-2)
Put the values of above points in the equation of straight line point-slope form
m=(y2-y1)/(x2-x1)
m=(-2-0)/(0-4)
m=-2/-4
m=1/2
Slope the line is 1/2
Equation will be
y=mx+b
y=x/2-2
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Miscellaneous_Word_Problems/553658: A car dealer sold two cars. On the first car he made a 10% profit and on the second car he lost 10%. He sold the cars for $9999 each. What was the overall dollar amount of profit or loss on the two transactions, or did the dealer break even?
1 solutions
Answer 360981 by Maths68(1474) on 2012-01-07 00:51:52 (Show Source):
You can put this solution on YOUR website!Total value of two cars = 9999+9999 = 19998
First Car was sold on 10% profit = 9999*10/100=99990/100=999.90
Second Car was sold on 10% loss = 9999*10/100=99990/100=999.90
Total amount of two cars after sale = (value of first car + profit)+ (Value of Second car - loss)
Total amount of two cars after sale = (9999+999.90)+(9999-999.90)
Total amount of two cars after sale = 10998.90+8999.10
Total amount of two cars after sale = 19998
Total value of two cars before sale= Total value of two cars after sale
19998=19998
Dealer broke even.
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Functions/553482: Solve by elimination method 2r - 5s = -14 5r + 2s = 52 what is the solution of the system
1 solutions
Answer 360887 by Maths68(1474) on 2012-01-06 12:23:23 (Show Source):
You can put this solution on YOUR website!2r - 5s = -14......(1)
5r + 2s = 52.......(2)
Multiply (1) by 5 and (2) by 2
10r-25s=-70.....(3)
10r+4s=104.......(4)
Subtract (4) from (3)
10r-25s=-70
-10r-4s=-104
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-29s=-174
-29s/-29=-174/-29
s=6
Put the value of s in (1)
2r - 5s = -14......(1)
2r - 5(6) = -14
2r - 30 = -14
2r=-14+30
2r=16
2r/2=16/2
r=8
Solution Set
(r,s)=(8,6)
Check
=====
Put the value of r and s in (2)
5r + 2s = 52.......(2)
5(8) + 2(6) = 52
40+12=58
52=52
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