SOLUTION: Can you break down these word problems and show me how to work the solutions please. Thanks. I am also trying to work on them myself even though I am confuse
1) The perimeter of
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-> SOLUTION: Can you break down these word problems and show me how to work the solutions please. Thanks. I am also trying to work on them myself even though I am confuse
1) The perimeter of
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Question 507595: Can you break down these word problems and show me how to work the solutions please. Thanks. I am also trying to work on them myself even though I am confuse
1) The perimeter of a triangle is 30. Since the longest side is one less than twice the shortest side and the third side is three more than the shortest side, what must be the length of the third side?
2) A bag of quarters and dimes is worthm in total $5.55. There are five less than three times as many dimes as quarters. How many of the coins must be dimes?
3) If 5 times a number (N) is less than 2 times that same number minus 9, what must be the value of the number?
4) If the width of a table is 4 feet shorter than the length. The table top is 96 square feet. Find the width.
You can put this solution on YOUR website! 1) The perimeter of a triangle is 30. Since the longest side is one less than twice the shortest side and the third side is three more than the shortest side, what must be the length of the third side?
:
let x = the length of the shortest side
then
(2x-1) = the length of the longest side
and
(x+3) = the length of the 3rd side
The perimeter
x + (2x-1) + (x+3) = 30
you should be able to solve this now
:
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2) A bag of quarters and dimes is worth a total $5.55.
.10d + .25q = 5.55
There are five less than three times as many dimes as quarters.
q = 3d - 5
in the 1st equation, replace q with (3d-5)
.10d + .25(3d-5) = 5.55
.10d + .75d - 1.25 = 5.55
.85d = 5.55 + 1.25
.85d = 6.80
d =
d = 8 dimes
Check this solution by finding the no. of quarters, then the total value
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3) If 5 times a number (N) is less than 2 times that same number minus 9, what must be the value of the number?
:
5n < 2n-9
5n - 2n < -9
3n < -9
n <
n < -3
:
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4) If the width of a table is 4 feet shorter than the length.
The table top is 96 square feet. Find the width.
L = W + 4
the area
L * W = 96
replace L with (W+4) and you have
W(W+4) = 96
W^2 + 4W - 96 = 0; a quadratic equation
Factors to
(W+12)(W-8) = 0
The positive solution
W = 8 ft is the width
Check this solution by finding the Length, and the area
