Each sheet of wallpaper can get 12/(1/3)=36 pieces, since there're 3 in total, we have 36*3 = 108 pieces
If clark left at 7:43, and 30 minutes later he arrived he would get to school around 8:13, 7:43 + 30 = 8:13
Using proportions, it is found that the length of the drawing is of 2.583 feet.
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- Scale problems are solved using proportions, by a rule of three.
- The length of the front is of 155 feet.
- The drawing has a scale of 1/60 of the actual size, that is, each actual feet is worth 1/60 on the drawing.
Thus:
1 feet - 1/60 feet
155 feet - x
Applying cross multiplication:
The length of the drawing is of 2.583 feet.
A similar problem is given at brainly.com/question/24105256
1. 0.24% is 24/100 which is 0.24
2. 135% is 1.35, you are correct!
3. 1/5% is 20% or .20, correct again !
4. 0.75% is 3/4, awesome job!
5. 420% is 4 1/5, correct.
6. 5/1000 is .005%
7. 500% + 80% is 580%, correct.
8. 0.0045 is 0.0045%
9. 3 is a whole number, 3.00 so 300%
20. (2) 14
A perfect square trinomial will factor into two expressions that are the same, for example: x^2 + 6x + 9 = (x + 3)(x + 3). Since this problem has a C value of 49, it will factor into (x + 7)(x + 7). 7 doubled is 14, therefore one possible value of B is 7.
21. (4) 2, -12
x^2 + 10x + 25 = 24 + 25
(x + 5)^2 = 49
x + 5 = +/- 7
x = 2, -12
22. (3) 3 + sqrt(17)
x^2 - 6x = 8
Complete the Square
x^2 - 6x + 9 = 8 + 9
(x - 3)^2 = 17
x - 3 = +/- sqrt(17)
x = 3 + sqrt(17), 3 - sqrt(17)
23. (1) 1, -5
x^2 + 4x - 5 = 0
x^2 + 4x = 5
x^2 + 4x + 4 = 5 + 4
(x + 2)^2 = 9
x + 2 = +/- 3
x = 1, -5
Hope this helps!
