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1. SMART CODE: What is the nine letter word that can be found by rearranging the letters in this anagram? | ||
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2. There is a small rectangular patio behind a house. The area is 144 square feet. If a half-foot wide garden is made around all four sides, the patio will be one foot shorter and one foot narrower and the area will then be 120 square feet. What are the dimensions of the patio now? |
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3. If Tom buys a piece of candy, he will have 2 cents left over. If he had 9 more cents, he could buy 2 pieces of candy. How much money does he has? |
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ANSWERS TO THE QUIZ.
Answers will be visible after you click the button below.
1. 'Democrats' anagrams to 'Smart code.'2. *b = 144
(a-1)*(b-1)=120
a*b-a-b+1=120
a+b-1=24
a+b=25
a=25-b
(25-b)*b=144
-b^2+25b=144
b^2-25b=-144
(b-12.5)^2=-144+625/4=156.25-144=12.25=49/4
b-12.5=7/2
b=163. T= amount of money Tom has.
C= cost of a piece of candyGiven:
eqn. 1) T-2=C
eqn. 2) T+9=2Cmultiply both sides of eq. 1 by 2
eqn. 3) 2T-4=2C
from eqn 2:
eqn. 4) 2T-4=2C=T+9
drop the 2C
eqn. 5) 2T-4=T+9
add 4 to both sides
eqn. 6) 2T=T+13
subtract T from each side
eqn. 7) T=13 answer