Question 729652: Can you help me figure out the proper equations for the problems listed?
The perimeter of a rectangular piece of poster board is 96 in. The length is 8 in. greater than the width. Find the width and the length.
21. Joseph allocates $800 to hotel stays. This represents 36% of his expense budget. Find his expense budget.
22. A 19-ft board is cut into two pieces. One piece is 3 ft longer than the other. How long are the pieces?
23. Money is invested in a savings account at 5% simple interest. After 1 year, there is $262.50 in the account. How much was originally invested?
24. When 18 is subtracted from four times a certain number, the result is the original number. What is the number?
25. The second angle of a triangle is three times as large as the first. The third angle is 20 degrees less than the sum of the other two angles. Find the measure of the first angle.
Found 4 solutions by lynnlo, ikleyn, josgarithmetic, mananth:
Answer by lynnlo(4176)   (Show Source):
Answer by ikleyn(53426)  (Show Source):
You can put this solution on YOUR website! .
Can you help me figure out the proper equations for the problems listed?
The perimeter of a rectangular piece of poster board is 96 in. The length is 8 in. greater than the width.
Find the width and the length.
21. Joseph allocates $800 to hotel stays. This represents 36% of his expense budget. Find his expense budget.
22. A 19-ft board is cut into two pieces. One piece is 3 ft longer than the other. How long are the pieces?
23. Money is invested in a savings account at 5% simple interest. After 1 year, there is $262.50 in the account. How much was originally invested?
24. When 18 is subtracted from four times a certain number, the result is the original number. What is the number?
25. The second angle of a triangle is three times as large as the first.
The third angle is 20 degrees less than the sum of the other two angles. Find the measure of the first angle.
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Answer by josgarithmetic(39702) (Show Source):
You can put this solution on YOUR website! Helping only with this one.
The perimeter of a rectangular piece of poster board is 96 in. The length is 8 in. greater
than the width. Find the width and the length.
x for width
x+8 for length
Solve this and find all you need.
Answer by mananth(16949)  (Show Source):
You can put this solution on YOUR website! 21. Joseph allocates $800 to hotel stays. This represents 36% of his expense budget. Find his expense budget.
Let expense budget be x
Allocates $800 for hotel
This is 36% of expense budget
0.36x = 800
x= 800/0.36
Use calculator
22. A 19-ft board is cut into two pieces. One piece is 3 ft longer than the other. How long are the pieces?
Let one piece of the two be x
The other will be (x+3)
x+(x+3) =19
2x+3 =19
2x=16
x=8
8ft and 11ft
23. Money is invested in a savings account at 5% simple interest. After 1 year, there is $262.50 in the account. How much was originally invested?
Interest rate 5%
Amount after 1 year = $262.50
Let invested amount be x
Amount = x(1+0.05)
262.50 = 1.05x
x = 262.50/1.05
x= $250
24. When 18 is subtracted from four times a certain number, the result is the original number. What is the number?
let number be x
four times a number = 4x
18 subtracted from 4x
4x-18 =x
3x =18
x =6
25. The second angle of a triangle is three times as large as the first. The third angle is 20 degrees less than the sum of the other two angles. Find the measure of the first angle.
Let first angle be x
Second is 3x
Sum of both = 4x
Third angle = 4x-20
Sum of angles of triangle = 180 deg
x+3x +(4x-20)=180
8x-20=180
8x = 200
x =25
The angles are 25, 75,and 80 deg
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