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Inequalities/751819: -2(4z+5)>-6-4z
1 solutions

Answer 457413 by lenny460(770) on 2013-05-23 01:43:58 (Show Source):

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-2(4z+5) > -6-4z

-2 * 4z = -8z
-2 * 5 = -10
Therefore:
-8z - 10 > -6 - 4z
Add 10 to each side of the inequality.
-8z - 10 + 10 > -6 - 4z + 10
Combine like terms:
-10 + 10 = 0
-6 + 10 = 4
We now have:
-8z > 4 - 4z
Add 4z to each side of the inequality.
-8z + 4z > 4 - 4z + 4z
Combine like terms:
-8z + 4z = -4z
-4z + 4z = 0
Therefore:
-4z > 4
Divide each side by -4
z < -1

Please note: When you divide an inequality by a negative number you flip (change) the inequality sign.

Answer:
z < -1

Lennox Obuong
Algebra Tutor
Nairobi, Kenya
Email: obuong3@aol.com

Quadratic_Equations/751822: how many solutions does the following system of equation have

1 solutions

Answer 457411 by lenny460(770) on 2013-05-23 00:53:40 (Show Source):

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how many solutions does the following system of equation have

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Trigonometry-basics/751806: Tyler gets a starting salary of 22,600, with annual raises of 800. what will his salary be during his fourth year on the job?
1 solutions

Answer 457409 by lenny460(770) on 2013-05-23 00:47:00 (Show Source):

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Tyler gets a starting salary of 22,600, with annual raises of 800. what will his salary be during his fourth year on the job ?
Starting salary = 22,600
Second year = 22,600 + 800 = 23,400
Third year = 23,400 + 800 = 24,200
Fourth year = 24,200 + 800 = 25,000

Answer:
25,000

Lennox Obuong
Algebra Tutor
Nairobi, Kenya
Email: obuong3@aol.com

Functions/751794: 4+5(s-4t)=
1 solutions

Answer 457408 by lenny460(770) on 2013-05-23 00:39:30 (Show Source):

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4 + 5(s-4t) =

5 * s = 5s
5 * -4t = -20t
4 + 5s - 20t

Answer:
5s + 4 - 20t

Lennox Obuong
Algebra Tutor
Nairobi, Kenya
Email: obuong3@aol.com

test/751338:
1 solutions

Answer 457190 by lenny460(770) on 2013-05-22 00:23:06 (Show Source):

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test/751336:
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Answer 457188 by lenny460(770) on 2013-05-22 00:20:55 (Show Source):

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Graphs/751110: 3y+8=7-4y
1 solutions

Answer 456990 by lenny460(770) on 2013-05-21 09:30:22 (Show Source):

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3y + 8 = 7 - 4y
Add 4y to each side of the equation.
3y + 8 + 4y = 7 - 4y + 4y
Combine like terms:
3y + 4y = 7y
-4y + 4y = 0
Therefore:
7y + 8 = 7
Subtract 8 from each side of the equation.
7y + 8 - 8 = 7 - 8
8 - 8 = 0
7 - 8 = -1
7y = -1
Divide each side by 7
y = -1/7

Answer:
y = -1/7

Lennox Obuong
Algebra Tutor
Nairobi, Kenya
Email: obuong3@aol.com

test/751085:
1 solutions

Answer 456989 by lenny460(770) on 2013-05-21 09:22:00 (Show Source):

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test/751084:
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Answer 456988 by lenny460(770) on 2013-05-21 09:19:24 (Show Source):

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Finance/751105: Simplify the following expression.
2x - 2y + 5z - 2x - y + 3z
1 solutions

Answer 456985 by lenny460(770) on 2013-05-21 08:58:51 (Show Source):

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Simplify the following expression.
2x - 2y + 5z - 2x - y + 3z

Combine like terms:
2x - 2x = 0
-2y - y = -3y
5z + 3z = 8z
Now we have:
-3y + 8z

Answer:
8z - 3y

Lennox Obuong
Algebra Tutor
Nairobi, Kenya
Email: obuong3@aol.com

test/751083:
1 solutions

Answer 456984 by lenny460(770) on 2013-05-21 08:54:07 (Show Source):

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test/750979: 8x+2x-11=59
1 solutions

Answer 456982 by lenny460(770) on 2013-05-21 08:51:03 (Show Source):

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8x + 2x - 11 = 59

Combine like terms:
8x + 2x = 10x
10x - 11 = 59
Add 11 to each side of the equation.
10x - 11 + 11 = 59 + 11
Combine like terms:
-11 + 11 = 0
59 + 11 = 70
Therefore:
10x = 70
x = 7

Answer:
x = 7

Lennox Obuong
Algebra Tutor
Nairobi, Kenya
Email: obuong3@aol.com

Polynomials-and-rational-expressions/750625: add the polynomials
(ab^2+a^3b)+(6a^3b-ab^2)
1 solutions

Answer 456743 by lenny460(770) on 2013-05-20 04:48:48 (Show Source):

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Add the polynomials
(ab^2 + a^3b)+(6a^3b - ab^2)
Remove the parentheses:
ab^2 - ab^2 = 0
a^3b + 6a^3b = 7a^3b

Answer:
7a^3b

Lennox Obuong
Algebra Tutor
Nairobi, Kenya
Email: obuong3@aol.com

test/750595:
1 solutions

Answer 456742 by lenny460(770) on 2013-05-20 04:37:54 (Show Source):

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test/750608: Is 4x^2+4x-16 factorable?
1 solutions

Answer 456725 by lenny460(770) on 2013-05-20 00:30:20 (Show Source):

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Is 4x^2 + 4x - 16 factorable ?
Divide each item by 4
4(x^2 + x - 4)

Answer:
4(x^2 + x - 4)

Lennox Obuong
Algebra Tutor
Nairobi, Kenya
Email: obuong3@aol.com

test/750320:
1 solutions

Answer 456534 by lenny460(770) on 2013-05-19 10:20:56 (Show Source):

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test/750245: -2 (-5 w - x) + (2 x + 2 w)
1 solutions

Answer 456521 by lenny460(770) on 2013-05-19 06:00:29 (Show Source):

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-2(-5w - x) + (2x + 2w)

-2 * -5w = 10w
-2 * -x = 2x

(10w + 2x) + (2x + 2w)
Remove the parentheses:
10w + 2x + 2x + 2w
Combine like terms:
10w + 2w = 12w
2x + 2x = 4x

Answer:
12w + 4x

Lennox Obuong
Algebra Tutor
Nairobi, Kenya
Email: obuong3@aol.com

Money_Word_Problems/250846: 6 is what percent of 18. please explain in steps if you can.
1 solutions

Answer 456361 by lenny460(770) on 2013-05-18 10:51:15 (Show Source):

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6 is what percent of 18. Please explain in steps if you can ?
6/18 = 0.3333
To change 0.3333 to percentage:
Move the decimal point two points to the right.
Then we now have 33.33 which is equivalent to:
33 1/3 %

Answer:
33 1/3 %

Lennox Obuong
Algebra Tutor
Nairobi, Kenya
Email: obuong3@aol.com

Percentage-and-ratio-word-problems/750038: one-fourth percent of 18 is

1 solutions

Answer 456359 by lenny460(770) on 2013-05-18 10:43:14 (Show Source):

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one-fourth percent of 18 is:
One-fourth is 25%
Therefore:
25/100 * 18 = 9/2
= 4.5

Answer:
4.5

Lennox Obuong
Algebra Tutor
Nairobi, Kenya
Email: obuong3@aol.com

Equations/749916: p-4=28p=32

1 solutions

Answer 456231 by lenny460(770) on 2013-05-17 16:54:03 (Show Source):

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p-4 = 28p = 32

The above expression has too many equals signs. Please check and repost.

Travel_Word_Problems/749736: cindy is driving to her grandma's house a distance of 420 miles. She left at 8am driving 65 mph. At noon, she stopped an hour for lunch. What speed should she drive to get to her grandmas by 5pm?
1 solutions

Answer 456230 by lenny460(770) on 2013-05-17 16:49:34 (Show Source):

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Cindy is driving to her grandma's house a distance of 420 miles. She left at 8 am driving 65 mph. At noon, she stopped an hour for lunch. What speed should she drive to get to her grandmas by 5pm ?
Distance to grandma's house is 420 miles.
8 am to noon = 4 hours
65 * 4 = 260 miles
420 - 260 = 160
Cindy stopped for an hour for lunch between noon and 1.00 pm.
5 pm - 1 pm = 4 hours
Therefore:
160 / 4 = 40 miles per hour.

Answer:
40 miles per hour.

Lennox Obuong
Algebra Tutor
Nairobi, Kenya
Email: obuong3@aol.com

�t�e�s�t/749711: Solve By Substitution:
-3x+4y=-18
x=-2y-4
1 solutions

Answer 456217 by lenny460(770) on 2013-05-17 15:55:13 (Show Source):

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Solve By Substitution:
-3x + 4y = -18
x = -2y - 4
Substitute x = -2y - 4 into the first equation.
-3x + 4y = -18
-3(-2y - 4) + 4y = -18
-3 * -2y = 6y
-3 * -4 = 12
We now have:
6y + 12 + 4y = -18
Combine like terms:
6y + 4y = 10y
10y + 12 = -18
Subtract 12 from each side of the equation.
10y + 12 - 12 = -18 - 12
Combine like terms:
12 - 12 = 0
-18 - 12 = -30
Therefore:
10y = -30
Divide each side by 10
10y/10 = -30/10
y = -3

Now substitute y = -3 into the second equation.
x = -2y - 4
x = -2(-3) - 4
-2(-3) = 6
x = 6 - 4
6 - 4 = 2
x = 2

Answer:
x = 2 and
y = -3

Lennox Obuong
Algebra Tutor
Nairobi, Kenya
Email: obuong3@aol.com

test/749854: Write y-4x=7 in standard form
1 solutions

Answer 456206 by lenny460(770) on 2013-05-17 15:02:29 (Show Source):

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Write y - 4x = 7 in standard form

Add 4x to each side of the equation
y - 4x + 4x = 7 + 4x
Combine like terms:
-4x + 4x = 0
Therefore:
y = 7 + 4x or
In the standard form:
y = 4x + 7

Answer:
y = 4x + 7

Lennox Obuong
Algebra Tutor
Nairobi, Kenya
Email: obuong3@aol.com

Polynomials-and-rational-expressions/749833: (5m+5n)(6m-7n)
1 solutions

Answer 456198 by lenny460(770) on 2013-05-17 13:54:43 (Show Source):

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(5m + 5n)(6m - 7n)

5m * 6m = 30m^2
5m * -7n = -35mn
5n * 6m = 30mn
5n * -7n = -35n^2

30m^2 - 35mn + 30mn - 35n^2
Combine like terms:
-35mn + 30mn = -5mn

30m^2 - 5mn - 35n^2

Answer:
30m^2 - 5mn - 35n^2

Lennox Obuong
Algebra Tutor
Nairobi, Kenya
Email: obuong3@aol.com

test/749718: What is the area of a circle with a diameter of 20 yards ?
1 solutions

Answer 456130 by lenny460(770) on 2013-05-17 02:34:59 (Show Source):

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What is the area of a circle with a diameter of 20 yards ?
Area of a circle = Pi(r^2)
Pi = 3.14
Diameter = 20 yards.
Therefore:
Radius = 10 yards.
3.14 * 10^2
= 3.14 * 100 = 314

Answer:
314 yards squared

Lennox Obuong
Algebra Tutor
Nairobi, Kenya
Email: obuong3@aol.com

test/749701:
1 solutions

Answer 456128 by lenny460(770) on 2013-05-17 02:10:43 (Show Source):

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Exponents/749708: x to the 4th divided by x to the 5th power
1 solutions

Answer 456127 by lenny460(770) on 2013-05-17 02:07:03 (Show Source):

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x to the 4th divided by x to the 5th power.

x^4 / x^5 = 1/x

Answer:
1/x

Lennox Obuong
Algebra Tutor
Nairobi, Kenya
Email: obuong3@aol.com

test/749465:
1 solutions

Answer 456000 by lenny460(770) on 2013-05-16 12:33:36 (Show Source):

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test/749423:
1 solutions

Answer 455999 by lenny460(770) on 2013-05-16 12:30:41 (Show Source):

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Travel_Word_Problems/749412: If I am traveling in a car at a speed of 95 feet per second, what is the approximate speed in miles per hour
1 solutions

Answer 455943 by lenny460(770) on 2013-05-16 10:02:41 (Show Source):

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If I am traveling in a car at a speed of 95 feet per second, what is the approximate speed in miles per hour ?
1 mile = 5280 feet.
1 hour = 60 * 60 = 3600 seconds.
Therefore:
1 mile/hour
= 5280 feet/3600 seconds = 1.47 feet/second.
To convert feet per second to miles per hour - divide by 1.47
Therefore:
95 / 1.47 = 64.62 mph

Answer:
64.62 miles per hour

Lennox Obuong
Algebra Tutor
Nairobi, Kenya
Email: obuong3@aol.com

test/748955:
1 solutions

Answer 455735 by lenny460(770) on 2013-05-15 10:54:26 (Show Source):

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