Simplify : 12 – ( x + 3 ) +10

Solution:

You can simply 12 – ( x + 3 ) +10 by rearranging the terms:

1. 12 –x -3 +10
2. 19-x

Cara made some cookies for her math club bake sale. She sold 3/5 of them in the morning and 1/4 of the remaining cookies in the afternoon. If she sold 200 more cookies in the morning than in the afternoon, how many cookies did she make?

Solution:

1. Let’s call the number of cookies Cara made “x”
2. First she sold three fifths of x(.6x)
3. The remaining amount is two fifths of x(.4x)
4. Then she one fourth of x;two fifths of “x” (.25*.4x = .1x)
5. .6x=.1x+200
6. .5x=200
7. x= 400

I need to know how to do problems like this, I Want to know how to solve, and simplify them, and also finding slopes. Like these kinds of problems (Write the equation, 3x + 5y = 15, in the slope intercept form (y = mx + b))

Here’s how you solve this type of question:

1. Start with an equation like 3x + 5y = 15
2. Move 3x to the other side, so 5y = 15 – 3x
3. Divide both sides by 5, so y = 3 – x
4. Another way of writing this is y = -.6x + 3, or y=mx = b, where m=-0.6 and b = 3
5. If m = -0.6, that means that the slope =-0.6



If 2(x-5)=-11, then x=?

Solution:

• 2(x – 5) = -11
• 2x – 10 = -11
• 2x = -1
• x = -0.5

Determine the next two values in the following pattern of numbers: 1, 4, 9, 61, 52, 63, 94, ___, ___ .

Solution:

This is a well known “trick question”. It’s simply a series of squares with the digits reversed:

1² = 1   => 1

2² = 4   => 4

3² = 9   => 9

4² = 16 => 61

5² = 25 => 52

6² = 36 => 63

7² = 49 => 94

8² = 64 => 46

9² = 81 => 18

How do you find the area of a base on a 3-D rectangle?

Here’s how you solve this type of question:

1. The base of the 3D rectangle is in the shape of a 2D rectangle.
2. Multiply the length of this 2D rectangle by its width to let the area

What is mean?

Solution:

The arithmetic mean is the average.

http://en.wikipedia.org/wiki/Arithmetic_mean

A close rectangular box measuring 72cm by 54cm by 48cm externally is made up of wood find the capacity of the box in litres,the volume of woodused in making the box,and the mass of the box if the density of the wood used is 0.9g/cmcube

Solution:

Volume of wood is 72*54*48 = 186,624 cmcube; the mass would be 186,624 * 0.9 = 167,961.6 g.

I need to figure out 4 to the power of 2 plus 5 to the power of 2

4² + 5² =16 + 25 = 41

Of 8400 adults who registered complaints with the letter Business Bureau, 10.3% complained about auto repair and service. How many complaints were made about auto repair and service?

Solution:

1. Total number of complaints = 8400
2. Percentage of the above that were related to auto repair and service = 10.3%
3. Number of complaints related to auto repair and service =3D 8400 x 10.3% = 8400 x 0.103 = 865

Please note that we rounded off the answer to the nearest integer since the number of complaints must be an integer.