SOLUTION: 1) Twice a number increased by 12 is equal 31 less then three times the number. Find the number 2) 8-2 times a number is equal to the number plus 17. Find the number. 3) The

Question 993400: 1) Twice a number increased by 12 is equal 31 less then three times the number. Find the number
2) 8-2 times a number is equal to the number plus 17. Find the number.
3) The perimeter of a rectangle is 24in. Find the dimensions if its length is 3in greater than its width.
4) 1/5th of a number plus 5 times that number is equal to seven times the number less 18. Find the number
5) The perimeter of a rectangle is 12. The lenght is 2 more than twice its width. Find the dimensions of the rectangle
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
1).
2x+12=3x-31
43=x
.
2).
8-2x=x+17
-9=3x
-3=x
.
3).
W=width; L=length=W+3
.
P=2(L+W)
24=2((W+3)+W)
12=2W+3
9=2
4.5=W ANSWER 1: The width is 4.5 inches
L=W+3=4.5+3=7.5 ANSWER 2: The length is 7.5 inches.
.
CHECK:
P=2(L+W)
24in=2(7.5in+4.5in)
24in=2(12in)
24in=24in
.
4).
x/5+5x=7x-18
x/5+25x/5=7x-18
26x/5=7x-18
5.2x=7x-18
18=1.8x
10=x
ANSWER: The number is 10.
.
CHECK:
x/5+5x=7x-18
(10/5)+5(10)=7(10)-18
2+50=70-18
52=52
.
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