You can put this solution on YOUR website!
Stan has 52 quarters and nickels. He has three times many nickels as quarters. How much money does he have.
n + q = 52
3n=q
substitute;
n + 3n =52
4n=52
n=13
13+q=52
q=39
so he has 13 nickels and 39 quarters, now we need to find out how much money that actually is;
nickel = .05
.05(13)=.65
quarters = .25
.25(39)=9.75
9.75 + .65 = $10.40
:)

You can put this solution on YOUR website!
Ted typed 80%of his research paper before taking a break.If he typed 8pages,how many total pages are in the paper,how many pages dose he have to type?
.8x=8
x=10
===================
The YMCA wants to raise $2500 for it's summer program for disadvantaged children. If the YMCA has already $900,what percent of it's goal has been achieved?
2500x=900
x=36%
=========================
Of the 67million acres of landin Colorado, approximately 3.7 million acres is rural forestland. What percent is rural forestland?
67x=3.7
x=5.5%
=========================
Forty-four percent of Americans use online travel sites to book hotel or airline reservations.If 400 people need to make airline or hotel reservations, how many would be expected to use online travel sites?
400(44%)=176
============================
The earth is covered by appoximately 360 million km2 of water. If the total surface area is 510 million km2,what percent is water? Round to the nearest tenth of a percent.
510x=360
x=71%
:)

You can put this solution on YOUR website!
1. Solve by graphing. Check each solution.
a) y=x-3 b) y=2x-1 c) x+3y=2 d) 3x+2y=6
y=3-x y=-x+5 x-y=6 y=4-x
===========================================
a)y=x-3
slope = 1/1
y-intercept = -3

==========================================
b) y=2x-1
slope = 2/1
y-intercept = -1

===========================================
c) x+3y=2
First put this in slope-intercept form; y=mx+b
subtract each side by x;
3y=-x+2
now divide each side by 3;
y = -1/3x + 2/3
slope= -1/2
y-intercept = 2/3

Think you can do the rest?
Just remember, if the equation is not in slope-intercept form, you need to put it in that form.
Then identify the slope and y-intercept, plot the point on the y-axis and use the slope to find the next point, then draw the line.
:)

You can put this solution on YOUR website!
7x+3y=6
3x+2y=-1
First write each equation in slope-intercept form;
7x+3y=6
3y=-7x+6
y =
3x+2y=-1
2y=-3x-1
y =
Now graph:

You can put this solution on YOUR website!
y = mx + b
since we know the slope and one point, substitute those in the equation to find b;
-5 = 2(3) + b
-5 = 6 + b
-5 - 6 = b
-11 = b
so the equation would be;
y = 2x - 11
:)

You can put this solution on YOUR website!
SA=
293.2 =
multiply;
293.2 = 116.84 + 19.15L
subtract 116.84 from each side;
293.2 - 116.84 = 19.15L
176.36 = 19.15L
divide each side by 19.15;
9.21 = L
:)

You can put this solution on YOUR website!

multiply each side by n;
(n-2)180=160n
180n-360=160n
180n-160n-360
20n=360
divide each side by 20;
n=18
so the number of side = 18
:)

You can put this solution on YOUR website!

Factor out what is common;

You can put this solution on YOUR website!
We will solve this by addition;
3x + 5y = 2
(-1)2x + 5y = -2
====================
3x +5y = 2
-2x -5y = 2
------------
x=4
Now that we have our x lets plug that in to find y;
3(4)+5y=2
12 +5y =2
5y = -10
y = -2
=============
:)

You can put this solution on YOUR website!
Your steps are correct, you are not watching your signs;
6x-24+4x= -2x +6
you are going to add the 6x + 4x; the minus sign goes with the 24, not the 4. The 4 is positive.
10x-24= -2x+ 6
Then you should have added the 2x to both sides, it is a negative 2, so you need to add to cancel it out;
12x-24=6
+24 +24
you would add 24 to both sides since it is negative;
12x = 30
The answer is a mixed fraction;
x =
x =
CHECK:
6x-24+4x= -2x +6





30 = 30
:)

You can put this solution on YOUR website!
Since you are already given what y equals, we will plug that into the second equation to find x;
y = 2x - 5
3x + y = 15
===================
3x + (2x - 5) = 15
5x - 5 = 15
5x = 20
x = 4
Now we have x, lets plug that into the equation to find y;
3(4) + y =15
12 + y =15
y = 15-12
y = 3
:)

You can put this solution on YOUR website!
total= 63;
He has finished 28;
What we are asked to find is the percent - that is our variable = P
We have;
28 = 63P
divide each side by 63;
.4444=P
rounded to nearest tenth;
P=.4
:)

You can put this solution on YOUR website!
First put them in slope-intercept form;
x+3y=23
3y=-x+23

3x-2y=3
-2y=-3x+3

You can put this solution on YOUR website!
I'll try to help;
A proof is a logical argument to convince someone that a statement is true.
There are steps you will try and follow when proving something,
1. Write information you've been given as true.
2. Write what you need to prove.
3. Draw a diagram and mark given information.
4. Plan how to get from the given to the prove.
5. Add to the diagram if needed
6. Set out logical sequence of statements and reasons beginning with what you know and ending with what you've been asked to prove (postulates, definitions, theorems, etc).

You can put this solution on YOUR website!
One die = 6 sides


Since one event does not depend on the second this event would be independent.
P(<4, then <3)

:)

You can put this solution on YOUR website!

Two dice = 12 sides
number of favorable outcomes = 1 + 1, 1 + 2, 1 + 3, 2 + 2; any other combination gives a sum greater than 5;

:)

You can put this solution on YOUR website!
-3+2y-5z=-3
3x-y+3z=4
3x+5y-8z=6
We will take two of the equations, add them together to eliminate a variable;
-3x+2y-5z=-3
+ 3x-y+3z=4
------------
y-2z=1
=================
Now take two other equations and add together to eliminate a variable;
-3x+2y-5z=-3
+ 3x+5y-8z=6
-------------
7y-13z=3
===========================
Now add these two together to eliminate a variable;put first we will need to multiply the first equation by -7 so we will be able to eliminate;
-7(y-2z=1)
-7y+14z=-7
Now we add;
-7y+14z=-7
+ 7y-13z=3
-----------
z=-4
=============================
Now we have our z, so we use that in one of the new equations to find y;
y-2(-4)=1
y+8=1
y=-7
================================
We have our y and z so lets plug those values into one of the original equations to find x;
3x-(-7)+3(-4)=4
3x+7-12=4
3x-5=4
3x=9
x=3
Hope you got all of that
:)

You can put this solution on YOUR website!
I am assuming that (2) is actually an exponent?
2zx(2)y=18 where x=1,z=y
so we rewrite the equation with the information given, we use 1 in place of our x and y in place of z;


divide each side by 2;

take the square root of each side;

we end with;
y=9
Hope this is clear and I helped.
:)

You can put this solution on YOUR website!
2x+y=6
First put this in slope-intercept form;
y=-2x+6
=====================
The slope of perpendicular lines are negative reciprocals, so the slope for the new equation would be;
1/2
so far we have;
y=1/2 + b
now lets find b;
Use the points given replacing the x and y;
3 = 1/2(-2)+b
3 = -1 + b
4 = b
==============
The new equation;
y = 1/2x + 4
:)
:)

You can put this solution on YOUR website!
You need to post the directions, I am not sure what it is you need to do.
Do you need to graph?
Put in slope-intercept form?
slope-intercept form;
y=-2x+7

You can put this solution on YOUR website!
4 - x = 10, then x = -6
-x=10-4
-x=6
x=-6
True
:)

You can put this solution on YOUR website!
first account = .075x
second account = .04(6500-x)
438.5 = .075x + 260 - .04x
438.5 = .035x + 260
178.5 = .035x
5100 = x
==================
first account = $5100.00
second account = 6500 - 5100 = $1400.00
:)

You can put this solution on YOUR website!
fast car = r
slow car= 1/2r+13
d=rt
420=6(r + 1/2r + 13)
420 = 6r + 3r + 78
342=9r
38=r
=================
fast car rate = 38
slow car rate = 1/2(38)(6)
slow car = 192
:)

You can put this solution on YOUR website!
When you graph this, the line will be dashed and you will shade the area under(right side)the line.
:)
Y>3x-5

You can put this solution on YOUR website!
R = 120n + 4000
For 100 hours of work?
R=120(100)+4000=12000+4000=16000
For 101 hours of work?
R=120(101)+4000 = 12120+4000 = 16120
Increase = 120
:)

You can put this solution on YOUR website!
4x – 3y = 1
-12x + 9y = 5
==================
(3)4x-3y=1
==================
12x+9y=3
-12x+9y=5
----------
No solution, both variables will be eliminated.
:)

You can put this solution on YOUR website!
(-3, -5), (-5, 1)


slope=
:)

You can put this solution on YOUR website!
Is all you need to do is plug the numbers given as your x and solve for y;
x | y
-2 |
-1 |
0 |
1 |
2 |
2x + y = 42
2(-2)+y=42
-4+y=42
y=42+4
y=46
==============
2x + y = 42
2(-1)+y=42
-2+y=42
y=42+2
y=44
================
2x + y = 42
2(0)+y=42
y=42
==============
2x + y = 42
2(1)+y=42
2+y=42
y=42-2
y=40
============
2x + y = 42
2(2)+y=42
4+y=42
y=38
:)

You can put this solution on YOUR website!
1st integer = x
2nd integer = x+2
======================
x(x+2)=168


(x+14)(x-12)=0
x+14=0
x=-14
x-12=0
x=12
=================
So we end up with 2 possibilities;
x = 12 or x = -14
Now we need our second;
x + 2 = 12+2=14
x+2 = -14+2=-12
====================
When x = 12, the second integer = 14
When x = -14, second integer = -12
:)

You can put this solution on YOUR website!
The length of a rectangle is 3 feet less than twice the width. If the perimeter is 54ft. find the dimensions.
L = 2W-3
W= W
2L + 2W = 54
2(2w-3)+2W=54
4W-6+2W=54
6W=60
W=10
L=2(10)-3
L=20-3 = 17
check;
2(17)+2(10)=54
34+20=54
:)

You can put this solution on YOUR website!
x = length of the pieces
2nd piece = x
3rd piece = 1/2x+4
1st piece = 3rd piece - 2 = (1/2x+4)-2
Now lets add the pieces together and have them = 18;
x + 1/2x+4 + (1/2x+4)-2 =18
x+ x+4+2=18
2x+6=18
2x=12
x=6
Now we have the length of the 2nd, lets plug this into the others to find their length;
3rd = 1/2(6)+4
3rd = 3+4= 7
1st = 7-2 = 5
check;
5+6=11+7=18
:)