SOLUTION: The left and right numbers of an open book are two consecutive integers who's sum is 469. Find these page #'s
Next Question:
The product of twice a number and three is the sam
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Next Question:
The product of twice a number and three is the sam
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Question 157985This question is from textbook
: The left and right numbers of an open book are two consecutive integers who's sum is 469. Find these page #'s
Next Question:
The product of twice a number and three is the same as the difference of five times the number and 3/4. Find the number
Next Question:
To make an international telephone call you need the code for the country you are calling. The codes for Belgium, France, and Spain are three consecutive integers who's sum is 99. Find the code for each country. This question is from textbook
You can put this solution on YOUR website! x+(x+1)=469
2x+1=469
2x=469-1
2x=468
x=468/2
x=234 for the left hand page number.
234=1=235 for the right hand page.
Proof
234+235=469
469=469
-------------------------------------
2x+3=5x-3/4
2x-5x=-3/4-3
-3x=(-3-12)/4
-3x=-15/4
x=(-15/4)/-3
x=-15/4*1/-3
x=5/4 answer.
Proof:
2*5/4+3=5*5/4-3/4
10/4+3=25/4-3/4
(10+12)/4=22/4
22/4=22/4
------------------------------------------
x+x+1+x+2=99
3x+3=99
3x=99-3
3x=96
x=96/3
x=32 for the l;owest code.
32+1=33 for the next one.
32+2=34 for the last one.
Proof;
32+33+34=99
99=99
You can put this solution on YOUR website! 1) Let the left page number be x, then the next consecutive right page number is x+1.
You are told that the sum of these two numbers is 469, so you can write the equation:
x+(x+1) = 469
2x+1 = 469 Subtract 1 from both sides.
2x = 468 Divide both sides by 2.
x = 234 and (x+1) = 235
The page numbers are: 234 and 235
2) The product of twice a number and 3 ((2n)*3) is the same as (=) the difference of 5 times the number and 3/4 (5n-3/4).
You can express this as:
(2n)*3 = 5n-3/4 Simplify.
6n = 5n-3/4 Subtract 5n from both sides.
n = -3/4
The number is -3/4
3) The sum of three consecutive integers is 99. This can be expressed as:
x+(x+1)+(x+2) = 99 Simplify.
3x+3 = 99 Subtract 3 from both sides.
3x = 96 Divide both sides by 3.
x = 32
The code for Belgium is 32.
The code for France is 33.
The code for Spain is 34
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