First we define the variables:
m = multiple choice questions
s = short answer questions
Next we need to satisfy 2 conditions:
1) There are a total of 40 questions. We can represent this mathematically using the variables I defined:
2) The multiple-choice questions are worth 2 points and the short-answer are worth 4 points but they need to total 100 points. This can also be represented mathematically:
By satisfying the conditions provided we were able to create the 2 equations!
Ok so 40y2/50y3.... you are going to cancel out the common factor (10)
4y2/5y3..
now apply the exponent rule, which is : xa /xb = 1/ xb-a
so...y2/y3 = 1/ y3 - 2 = 1/y
ANSWER : 4/5y
Based off of the notes I have, the answer is True
<u>Solving</u>
Knowing that we have the information needed we will first find the perimeter of the rectangle.
Rectangle:
Length: 13cm
Width: 7cm
Formula: L+L+W+W
13+13+7+7 = 40cm
Meaning the perimeter is 40cm and we can use this to find the length of a square. From general knowledge we know that all sides of a square is equal.
So if we divide the 4 sides by 40 we will get our answer.
40 ÷ 4 = 10
So B would be our answer...
<u>Statement</u>
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Therefore the length of a side of the square is 10cm, meaning answer B is correct.
$270 equals 135% of the original price
270/x=135/100
135*2=270
100*2=200
Final answer: $200
