Step 1: Set length = x
Step2: Width = 2x-7
Step 3: Area = 145 cm^2 = length * width = x(2x-7)
Step 4: 2(x^2)-7x = 145 cm^2
Step 5: 2(x^2)-7x-145=0
Step 6: Use quadratic equation to solve for x
Step 7: x=10.44266932535685 cm
Step 8: Set diagonal = d
Step 9: Use Pythagorean...

Question: Solve the expression 110 times 10 + 5 - 2 times 7 + 4.
Comments: This question needs to be specified further for you could get two different solutions for it.
Solution 1:
First, rewrite the expression and then use order of operations.
Hence...

This question is really vague because it should be presented in either of two ways to avoid confusions.
3/x + 3/2x = 2
1: 3/(x+3)/(2x)=2
->3/((2x^2)+6x)=2
->3/2=(2x^2)+6x
->(2x^2)+6x-1.5
-> use quadratic formula to solve...

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I've assigned this to successive students to get familiar with some of the basics to improve their math comprehensive skills.

1+2*2+3*3+4*4=1+4+9+16=30
The sum (total) is 30

Okay so many students face the difficulty of figuring out which word on a reading is the noun, pronoun, verb, adverb, and adjective. To avoid such confusions and to make educated guesses, use the following tips.
There are 8 parts of speech (not 5)!
1. Noun: describes place, person, or thing
2. Pronoun: modifies the noun
3. Verb: describes action or being
4...
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1 inch = 25.4 millimeter
4.92 inches = 25.4 * 4.92 millimeter = 124.968 millimeter
Thus 4.92 in = 124.968 mm

(6x4)(3x2)= (6)(3)(x4+2)=18x6
There are many other ways to go about such problems but this
one's the simplest

20/√15 = 5.163977794943222 which is approximately 5.164
(20/√15)2 = 400/15 = 80/3 = 26.667 => √26.667 is approximately 5.164
Hope this helped.