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12+2m=20-2m - SoftMath Algebrator - Algebra Homework Solver (689076614429)

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  • Anonymous Mar 11, 2009

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12 + 2m = 20 - 2m
2m + 2m = 20 - 12
4m = 8
m = 8/4
m=2

Posted on Mar 06, 2009

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12+2m=20-2m
2m+2m=20-12
4m=8
m=2

Posted on Mar 13, 2009

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4m = 8
m = 2

Posted on Mar 10, 2009

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1 Answer

The sum of two numbers is 60. the smaller number is 20 less than the larger number. what are the numbers?


60 - 20 = 40

40 / 20 = 2

Answer check: (2*20)+20=60 (40)+20=60 The numbers are 40 and 20.

Mar 10, 2015 | Educational & Reference Software

1 Answer

The perimeter of a rectangle is 600 yards. what are the dimensions of the rectangle if the length is 20 yards more then the width


160 by 140

The perimeter is 600, so 2w+2l=600 where w is the width and l is the length.
Divide both sides by 2: w+l=300
The length is 20 more than the width: l=w+20
Substituting in the previous equation: w+(w+20)=300
Collecting terms: 2w+20=300
Subtract 20 from both sides: 2w=280
Divide by 2: w=140
Thus the width is 140. Substituting into the equation for length: l=140+20
Simplifying: l=160
The width is 140 and the length is 160

Sep 15, 2014 | MathAid Algebra II

1 Answer

A sum of money was shared between A,B,C so that A received 1/4 of the sum, and the remainder was shared between B and C in the ratio 3:2. Find the ratio in which the sum was shared between A, B and C


A received 1/4. B and split the other 3/4. B got 3/5 of 3/4 and C got 2/5 of 3/4, so B got (3/4)*(3/5) or 9/20 and C got (3/4)*(2/5) or 6/20. Taking the common denominator of 20, A got 5/20, B got 9/20, and C got 6/20. Multiplying everything by 20 gives 5:9:6.

May 09, 2014 | The Learning Company Achieve! Math &...

1 Answer

Increse 20 by 20%


20 x 120 /100 = 24

or

20% is 1/5, so increase 20 by 1/5 = 4
so 20 + 4 = 24

May 06, 2014 | Mathsoft Educational & Reference Software

1 Answer

Perimeter of a rectangle


1 tile by 20 tiles - perimeter of 1+ 20 +1 + 20 = 42
2 tiles by 10 tiles - perimeter of 2 + 10 + 2 + 10 = 24
(can't make a rectangle with 3 rows)
4 tiles by 5 tiles - perimeter of 4 + 5 + 4 + 5 = 18
5 tiles by 4 tiles - perimeter of 5 + 4 + 5 + 4 = 18
(can't make a rectangle with 6, 7, 8 or 9 rows)
10 tiles by 2 tiles - perimeter of 10 + 2 + 10 + 2 = 24
20 tiles by 1 tile - perimeter of 20 + 1 + 20 + 1 = 42

So 6 different rectangles. Smallest perimeter is 18.

Jan 08, 2014 | Educational & Reference Software

1 Answer

Alvin is now 20 years older than his son.In 10 years,he will be twice as old as his son's age.What are their present age's?


Christine,
(D=Dad's age, and S=Son's age)

D=S+20 (Dad is 20 years older than Son)
D+10 = 2xS (In ten years Dad will be twice Son's current age)
therefore (by substitution):
S+20+10 = 2xS
S+30 = 2S
2S = S+30
2S-S = 30 (subtract S from both sides)
S = 30 (Son's current age) *answer*
D = S+20
D = 30+20
D = 50 (Dad's current age) *answer*

In ten years, Dad will be 60, which is twice Son's current age of 30.

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Aug 27, 2010 | Mathsoft Solving and Optimization...

2 Answers

-20=-4x-6x


try to collect the like terms:-20=-10x
divide both sides the coefficient of X which -10
X=-20/-10
X=2

Jan 17, 2010 | SoftMath Algebrator - Algebra Homework...

2 Answers

8y-4(5-6y)+20 distributive property


Hello,
You are talking of the distributivity of multiplication with respect to the addition or subtraction. The only term where you have multiplication and addition/subtraction is the one with parentheses because
4(5-6y) = 4*(5-6y). * means multiply by

Distributing the product consists in removing CORRECTLY the parentheses.
I consider the term alone
4*(5-6y) = 4*5 +4*(-6y)= 20 -4*6*y = 20 -24*y
You put this result in a package and replace it where it was it the original expression.
So
8*y -(package) +20= Replace package
8*y -(20-24*y)+20 = 8*y -20 -(-24y) + 20 Remember -*(-) = +
8*y -20 +24*y +20= Remember -20+20 =0
8*y -20 +20 +24*y= Addition is commutative
8*y +24*y = 32*y
Let y be an orange 8 oranges + 24 oranges =32 oranges.Coclusion
8y-4(5-8y)+20 = 32y

Sep 10, 2009 | The Learning Company Achieve! Math &...

1 Answer

1/(x+5) + 7/(22x+20) = (x+13)/(22x+20)


Multiply throughout by (x+5)(22x+20)
(22x+20)+7(x+5)=(x+13)(x+5)
29x+25=x²+18x+65
x²-11x+40=0
x=[11±?11²-4×1×40]/2
x=[11±?-39]/2

Jun 23, 2009 | SoftMath Algebrator - Algebra Homework...

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