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Peter purchased 14 latest baseball cards for his collection. This increased the size of his collection through 35%. How many baseball cards does Peter now have?
First, you must ?nd out how many baseball cards Peter had originally. Use a proportion to ?nd the original number of baseball cards; part /whole = %/100 the 14 baseball cards that he added to his collection is the part. The whole number of baseball cards is what we are looking for, so call it x.The % is 35 (the percent of increase); 14/x = 35/100. To solve the proportion, cross-multiply; (14)(100) = 35x. Divide both sides by 35 to solve for x; 1,400/35 = 35x /35= 40. The original number of baseball cards was 40, and 14 more were added to the collection for a total of 54 cards.
The mode - It is one of the measures of central tendency. The mode is defined as a value in a frequency distribution that has the highest frequency. Occasionally a single valu
Let G be a group acting on a set X. The action is called faithful if for any g ≠ 1 ∈ G there exists an x ∈ X such that gx ≠ x. That is, only the identity fi xes everything. Prov
Let D(subscript12) = ({x,y : x^2 = e ; y^6 = e ; xy =(y^-1) x}) a) Which of the following subsets are subgroups of D(subscript12) ? Justify your answer. i) {x,y,xy,y^2,y^3,e}
y"-3y''-4y=2sinx
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1. Suppose n ≡ 7 (mod 8). Show that n ≠ x 2 + y 2 + z 2 for any x, y, z ε Z. 2. Prove ∀n ε Z, that n is divisible by 9 if and only if the sum of its digits is divisible by 9.
If roots of (x-p)(x-q) = c are a and b what will be the roots of (x-a)(x-b) = -c please explain. Solution) (x-p)(x-q)=c x2-(p+q)x-c=0 hence, a+b=p+q and a.b=pq-c
Using the example provided, Evaluate the area of the shaded region in terms of π. a. 264 - 18π b. 264 - 36π c. 264 - 12π d. 18π- 264 b. The area of the shaded r
As a creative and innovative entrepreneur, we are required to invent or improvise a product or service that benefits the society and the economy, so what do you think is it?
Find models of energy production and energy usage from 2 different countries, each on a different continent, which predict future energy production and demands. How was data collec
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