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Age_Word_Problems/573560: When Billy turned 14 years old, his father was 42 years old, which is three times Billy’s age at the time. Today is Billy’s birthday, and Billy’s father is now twice as old as Billy. How old is Billy?
1 solutions
Answer 368825 by Maths68(1474)   on 2012-02-16 00:23:34 (Show Source):
You can put this solution on YOUR website!Let
age of Bill now = b
age of Father now = f
Billy’s father is now twice as old as Billy
f=2b..............(1)
Let x years ago
Bill was
b-x = 14..............(2)
Father was
f-x = 42..............(3)
Put the value of f from (1) to (3)
f-x = 42..............(3)
2b-x=42...............(4)
Subtract (2) from (4)
2b-x=42...............(4)
-b+x = -14..............(2)
-----------
b=28
Put the value of b in (1)
f=2b..............(1)
f=2(28)
f=56
age of Bill now = b = 28 years old
age of Father now = f = 56 years old
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Age_Word_Problems/573592: hans is 3 years younger than his brother emil. in 8 years the sum of their ages will be 61. how old is hans plz i need this in 30 mins plz help me im stuck
1 solutions
Answer 368822 by Maths68(1474) on 2012-02-15 23:59:35 (Show Source):
You can put this solution on YOUR website!
Let
Present age of Hans = h
Present age of Emil = e
Hans is 3 years younger than his brother Emil.
h=e-3.................(1)
In 8 years
Hans will be = h+8
Emil will be = e+8
Then
The sum of their ages will be 61
(h+8)+(e+8)=61
h+8+e+8=61
h+e+16=61
h+e=61-16
h+e=45..................(2)
Put the value of h from (1) to (2)
h+e=45..................(2)
e-3+e=45
2e-3=45
2e=45+3
2e=48
2e/2=48/2
e=24
Put the value of e in (1)
h=e-3.................(1)
h=24-3
h=21
Present age of Hans = h = 21 years old
Present age of Emil = e = 24 years old
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Graphs/573502: what is the equation of the point (3,2) and has a slope of 2?
1 solutions
Answer 368803 by Maths68(1474) on 2012-02-15 21:27:46 (Show Source):
You can put this solution on YOUR website!Given
Point (x, y)=(3,2)
Slope = m = 2
Equation of the line slope-intercept form
y=mx+b
Put the given values of point and slope in above equation in order to know the y-intercept
2=(2)(3)+b
2=6+b
2-6=b
-4=b
b=-4
y-intecept = b = -4
Again put the values of slope and y-intercept in the equation of the line slope-intercept form
y=2x+(-4)
y=2x-4
Above equation is required equation of the line.
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Linear_Equations_And_Systems_Word_Problems/572852: The sum of 3 times a number and 4 times another number is 43. Five times the first number is 3 less than four times the opposite of the second number. Find the numbers.
Choose one answer.
a. -20 and 29
b. -23 and 28
c. 23 and -28
d. 20 and -29
1 solutions
Answer 368580 by Maths68(1474) on 2012-02-14 22:16:11 (Show Source):
You can put this solution on YOUR website!Let
1st number = x
2nd number = y
The sum of 3 times a number and 4 times another number is 43
3x+4y=43.................(1)
Five times the first number is 3 less than four times the opposite of the second number
5x=4(-y)-3
5x=-4y-3
5x+4y=-3.................(2)
Subtract (1) from (2)
5x+4y=-3
-3x-4y=-43
-------------------
2x=-46
2x/2=-46/2
x=-23
Put the value of x in (1)
3x+4y=43
3(-23)+4y=43
-69+4y=43
4y=43+69
4y=112
4y/4=112/4
y=28
Numbers are -23 and 28
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Exponents/572646: Can you please answer this easy qustion: If there is a bracket which has EXAMPLE : (x-x)^2 is the brackets equal to (x-x)(x-x) OR (x-x)(x+x)
1 solutions
Answer 368470 by Maths68(1474) on 2012-02-14 12:14:11 (Show Source):
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Age_Word_Problems/572622: The sum of 4 times mikes age and 3 times susan's age is 79. mike is 1 year more than 3 times as old as susan. find each of their ages.
1 solutions
Answer 368461 by Maths68(1474) on 2012-02-14 11:47:59 (Show Source):
You can put this solution on YOUR website!Let
Present age of mike = m
Present age of Susan = s
Given
======
The sum of 4 times mikes age and 3 times susan's age is 79
4m+3s=79..............(1)
Mike is 1 year more than 3 times as old as Susan
m=3s+1................(2)
put the value of m from (2) to (1)
m=3s+1
4(3s+1)+3s=79
12s+4+3s=79
15s+4=79
15s=79-4
15s=75
15s/15=75/15
s=5
put the value of s in (2)
m=3s+1................(2)
m=3(5)+1
m=15+1
m=16
Present age of mike = m = 16 years old
Present age of Susan = s = 5 years old
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Word_Problems_With_Coins/572527: julie's purse contains 32 coins consisting of nickels and quarters, worth a total of $3.60. How many quarters does she have?
1 solutions
Answer 368439 by Maths68(1474) on 2012-02-14 04:15:01 (Show Source):
You can put this solution on YOUR website!Let
Quarters=x
Nickels=32-x
Value of a Quarter = $0.25
Value of a Nickle = $0.05
Total value of all coins = $3.6
(Value of a Quarter)(Quarters)+(Value of a Nickel)(Nickels)= Total value of all coins
0.25x+0.05(32-x)=3.6
0.25x+0.05(32-x)=3.6
0.25x+1.6-0.05x=3.6
0.25x-0.05x=3.6-1.6
0.2x=3.6-1.6
0.2x=2
0.2x/0.2=2/0.2
x=10
Quarters=x=10
Nickels=32-x=32-10=22
Check
=========
0.25(10)+0.05(22)=3.6
2.5+1.1=3.6
3.6=3.6
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Miscellaneous_Word_Problems/572498: How many liters of a 30% alcohol solution must be mixed with 20 liters of a 70% solution to get a 40% solution?
1 solutions
Answer 368427 by Maths68(1474) on 2012-02-14 00:43:42 (Show Source):
You can put this solution on YOUR website!Solution A
Amount = x
Concentration =30% =0.3
Solution B
Amount = 20
Concentration =70% = 0.7
Resultant Solution
Amount =20+x
Concentration =40%=0.4
[Amount Solution A * Concentration A] + [Amount Solution B * Concentration of B] = Amount of Resultant * Concentration of resultant
(x)(0.3)+(20)(0.7)= (20+x)(0.4)
0.3x+14=8+0.4x
0.3x-0.4x=8-14
-0.1x=-6
-0.1x/-0.1=-6/-0.1
x=60
Solution A
Amount = x = 60 liters
Concentration =30% =0.3
60 liters of a 30% alcohol solution must be mixed with 20 liters of a 70% solution to get a 40% solution?
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Problems-with-consecutive-odd-even-integers/572496: please help me solve the following:
find three consecutive odd integers whose sum is equal to five more than two times the second largest number among the three integers.
1 solutions
Answer 368426 by Maths68(1474) on 2012-02-14 00:28:45 (Show Source):
You can put this solution on YOUR website!Let
Smaller number = x+1
Larger number = x+3
Largest number = x+5
x+1+x+3+x+5=2(x+3)+5
3x+9=2x+6+5
3x-2x+9=11
x=11-9
x=2
Smaller number = x+1 = 2+1 = 3
Larger number = x+3 = 2+3 = 5
Largest number = x+5 = 2+5 = 7
Three consecutive odd integers 3, 5, 7
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Complex_Numbers/572462: Consider the following complex fraction:
(2x^3/5y^3)/(x^3/y^2)
Simplify completely the complex algebraic expression shown above.
1 solutions
Answer 368404 by Maths68(1474) on 2012-02-13 22:27:13 (Show Source):
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Age_Word_Problems/571938: 4 years ago marion was 2/3 as old as Les was. Now she is 3/4 as old as he is. How old is each now
1 solutions
Answer 368246 by Maths68(1474) on 2012-02-13 00:27:11 (Show Source):
You can put this solution on YOUR website!4 years ago marion was 2/3 as old as Les was. Now she is 3/4 as old as he is. How old is each now
Let
Present age of Marion = m
Present age of Les = l
Marion is 3/4 as old as Les is
m=(3/4)(l)
m=3l/4.................................(1)
4 years ago
Marion was = m-4
Les was = l-4
Then
(m-4)=2/3(l-4)
3(m-4)=2(l-4)
3m-12=2l-8
3m=2l-8+12
3m=2l+4................................(2)
Put the value of m from (1) to (2)
3m=2l+4
3(3l/4)=2l+4
9l/4=2l+4
9l=4(2l+4)
9l=8l+16
9l-8l=16
l=16
Put the value of l in (1)
m=3l/4.................................(1)
m=(3)(16)/4
m=(3)(4)
m=12
Present age of Marion = m = 12 years old
Present age of Les = l = 16 years old
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test/571959: Five times a number and seven is the same as three times the number and eleven. Find the number.
1 solutions
Answer 368245 by Maths68(1474) on 2012-02-13 00:14:10 (Show Source):
You can put this solution on YOUR website!Let x be the number
Five times of x = 5x
Three times of x = 3x
5x+7=3x+11
5x-3x=11-7
2x=4
2x/2=4/2
x=2
Number is 2
Check
=====
5x+7=3x+11
5(2)+7=3(2)+11
10+7=6+11
17=17
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Graphs/571921: Please help me solve this. I need it asap. Thanks
1. Find the y-intercept and the x-intercept for the equation.
-10x+y=14
What is the y-intercept?
What is the x-intercept?
1 solutions
Answer 368234 by Maths68(1474) on 2012-02-12 22:10:30 (Show Source):
You can put this solution on YOUR website!-10x+y=14
When y intercepts x=0
-10(0)+y=14
y=14
y intercept = 14
-10x+y=14
When x intercepts y=0
-10x+0=14
-10x=14
-10x/-10=14/-10
x=-7/5
x intercept = -7/5
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test/571913: Simplifying equations....(5k+16)-(2k+7). Does the seven become negative when simplifying?
1 solutions
Answer 368232 by Maths68(1474) on 2012-02-12 22:02:53 (Show Source):
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