You can put this solution on YOUR website!
divide Pt into both sides.
EdJones

You can put this solution on YOUR website!
let n=the lowest number
n+(n+1)+(n+2)=600
3n+3=600
subtract 3 from both sides. 3n=597
divide 3 into both sides. n=199
EdJones

You can put this solution on YOUR website!
Multiply a+b times both sides. n=(a+b)(c-n)
n=ac-an+bc-bn
add an+bn to both sides. n+an+bn=ac+bc
factor n(1+a+b)=c(a+b)
divide 1+a+b into both sides.

EdJones

You can put this solution on YOUR website!
This problem is a long tough grind but we can do it.
Because so there is so much manipulation it is easy to make an error.
The technical term for what we will do is Gaussian Elimination.
Let's line up all the unknowns, one under the other.
X.3a-2b+2c=1
Y.2a+5b-5c=7
Z.4a-3b+c=-3
Multiply -2 times equation Z and add Z to X.
X.3a-2b+2c=1
Z.-8a+6b-2c=6
-------------
X.-5a+4b=7 this is the sum of X and Z and is the new X. Notice c=0 and the equation is simpler
X.-5a+4b=7
Y.2a+5b-5c=7
Z.4a-3b+c=-3
Multiply 5 times Z and add it to Y
Y. 2a+5b-5c=7
Z. 20a-15b+5c=-15
-----------------
=>22a-10b=8 this is the new Y.
X.-5a+4b=7
Y.22a-10b=8
Z.4a-3b+c=-3
Multiply 2.5 times X and add X and Y
X.-12.5a+10b=17.5
Y.22a-10b=8
--------------
=>9.5a=9.5
a=1 Eureka! the rest is easy.
X. -5+4b=7 4b=12 b=3
Z. 4-9+c=-3 c=-3+5=2
Answer a=1, b=3, c=2
Check: (plug into the original equations)
3a-2b+2c=1 3-6+4=1
2a+5b=7+5c 2+15=7+10
c+3+4a=3b 2+3+4=9
EdJones

You can put this solution on YOUR website!
3x-9=2
add 9 to both sides. 3x=2+9=11
divide 3 into both sides. x=11/3
EdJones

You can put this solution on YOUR website!
You are correct.
You can't tell how much it weighs.
Very good!
If the problem said that the watermelon was 99% water BY WEIGHT then we could solv the problem and the answer would be 99 lbs.
EdJones

You can put this solution on YOUR website!
6x+3y=54
When x=0 3y=54 y=18 (0,18) the x intercept.
when y=0 6x=54 x=9 (9,0) the y intercept
EdJones

You can put this solution on YOUR website!
144 is not a question.

You can put this solution on YOUR website!
6x+7

You can put this solution on YOUR website!

EdJones

You can put this solution on YOUR website!
x+6=15-3x
add 3x to each side. 4x+6=15
subtract6 from each side. 4x=9
divide 4 into each side. x=9/4
EdJones

You can put this solution on YOUR website!

so c=2a


divide 2 into each side
take square root of both sides a=6 a=-6
Positive numbers are required so a=6 is an answer.
ac=6c=72
c=72/6=12
ab=6b=48
b=48/6=8
Check: bc=8*12=96
EdJones

You can put this solution on YOUR website!
(-8,1) and (-8,7)
General Form: Ax+By+C=0
slope-intercept form: y=mx+b
1st we get the slope (m)

m=(1-7)/-8+8
m=-6/0=undefined because division is not allowed.
We have to stop there.
We can't write an equation without the slope.

You can put this solution on YOUR website!
L*W=A
L=3W

(3w-2)*(w-2)=A-36

subtract from both sides. -8w+4=-36
multiply -1 times both sides. 8w-4=36
add 4 to both sides. 8w=40
divide 8 into both sides. w=5 cm Ans.
Check 5*15=75 (original area)
3*13=39 (area after -2cm subtacted from each side)
75-39=36 cm sq. (difference in the 2 areas)
right on!
EdJones

You can put this solution on YOUR website!
*
EdJones

You can put this solution on YOUR website!

multiply (x+5) and (x-12) times both sides. 10(x-12)=5(x+5)
10x-120=5x+25 subtract 5x from both sides. 5x-120=25
add 120 to both sides. 5x=145
divide 5 into both sides. x=29
Ed Jones

You can put this solution on YOUR website!
angle=x Compliment=90-x Suppliment=180-x
180-x=2(90-x)+20
180-x=180-2x+20
add 2x to both sides. 180+x=200
subtract 180 from both sides x=20 degrees (Ans.)
compliment=70 Suppliment=160
Twice the compliment + 20 = the suppliment
EdJones

You can put this solution on YOUR website!
No.
Since they are going in opposite directions you add the speeds.
d=tv distance =time * velocity
d=59.4 v=34+65=99
59.4=99t
divide 99 into both sides. t=59.4/99=.6 hrs
.6 hrs=.6*60=36 minutes
EdJones

You can put this solution on YOUR website!
10-u

You can put this solution on YOUR website!
5:15PM NYT depart NY
7:30h Flight time (7.5h = 7:30h on a digital clock)
-----
12:45AM NYT arrival in Rome
6:00 add on for Rome time
-----
6:45AM Rome Time arrival in Rome
EdJones

You can put this solution on YOUR website!

5:15PM NYT depart NY
7:30h Flight time (7.5h = 7:30h on a digital clock)
-----
12:45AM NYT arrival in Rome
6:00 add on for Rome time
-----
6:45AM Rome Time arrival in Rome
EdJones

You can put this solution on YOUR website!
this one is practical and important.
x=last yrs. sales.
.97x=164,916
divide .97 into both sides. x=$170,016.49
Ed Jones

You can put this solution on YOUR website!
-10 to 4

You can put this solution on YOUR website!
(6*3)+2=18+2=20

You can put this solution on YOUR website!
b=wt before diet
b*.06=10
divde .06 into both sides. lbs
EdJones

You can put this solution on YOUR website!
Let's start with x^5(x+3)=x^6+3x^5
Next -4x(x^2-5)=-4x^3+20x
so now we've got 3x^2(x^6+3x^5-4x^3+20x+50)
the rest is easy. (joke) 3x^8+9x^7-12x^5+60x^3+150x^2
Anyone can make a mistake in doing these because ther are so many steps and the only way to check is to do it over.
EdJones

You can put this solution on YOUR website!
(3s-2)(-s-4)
EdJones

You can put this solution on YOUR website!
Length*Width=Area
L*W=A


EdJones

You can put this solution on YOUR website!
Urn#1 .4*.7=.28
Urn#2 .6*.8=.48
.28+.48=.76
Notice that the probabilities don't add up to 1.00
That's because we have excluded the possibility of getting a red ball from either of the urns. (the missing .24)
probability the ball came from urn#2
EdJones

You can put this solution on YOUR website!
S=sales salary=14,000
14000+.08S>=15600
subtract 14000 from each side. .08S>=1600
divide .08 into both sides. S>=$20,000.
So she must have sales greater than or equal to $20,000.
EdJones

You can put this solution on YOUR website!
y=-x
The equation is solved for Y already!
All we have to do is put some dots on graph paper so we can draw a straight line
if x=0 then y=0 (0,0)(a dot)
if x=1 then y=-1 (1,-1)(another dot)
if x=-1 then y=1 (-1,1) (a 3rd dot)
your graph should look like the graph below.
EdJones