Answer:
20 min
Step-by-step explanation:
5 is 1/3 of 15
That means that the time is 1/3 of a hour which is 20 min
Answer:
In bold.
Step-by-step explanation:
a. (x+5)^2 – 3x(x+5) x+5 is common
= (x + 5)(x + 5 - 3x)
= (x + 5)(5 - 2x)
b. (x + 5)(5 - 2x) = 0
x = -5, 2.5.
2a. Area of the square = (x + 5)^2
Area of triangle AEB
= 1/2 * base * height
I am assuming that H is the centre of AB , so
Area = x*x
= x^2.
2b
6x^2 = (x + 5)^2
6x^2 = x^2 + 10x + 25
5x^2 - 10x - 25 = 0
x^2 - 2x - 5 = 0
x = [-(-2) +/- sqrt(2^2 - 4*1*-5)] / 2
x = -1.45, 3.45.
(we ignore the negative).
Answer:
SA = 680 units^2
V =1200 unit^3
Step-by-step explanation:
If the radius is 5 then the diameter is 2r = 2*5 = 10
The height would remain the same
Surface area of a prism is given by
SA = 2 (lw+lh+hw)
l =d = 10 w = d = 10 h = 12
SA = 2 ( 10*10 + 10 * 12+ 12* 10)
SA = 2( 100+120+120)
SA = 2(340)
SA = 680 units^2
V = l*w*h = 10*10*12 =1200 unit^3
16. 8h = p 17. 288 = 18h, 16 = h. She is making $16/h, so if she works 11 hours making that same amount, 11(16) = p, she would make $176. 18. I’m not sure. 19. 24/60 = 0.4 x 100 = 40%. 20. I’m assuming you already solved it? 21. 30 x 0.63 = 18.9 22. 81 x 0.6 = 48.6 31. 40 x 0.55 = 22. Since the item is on sale for 55% this means the price decreased by $22, so 40 - 22 = 18, so Nicole payed $18. 32. 881.95 x 1.65 = $1455.22 33. 48300 x 1.38 = 66654 34. 442 x 1.35 = $596.7 35. 221/130 = 1.7 x 100 = 170 % This is all I’ll do for now, I’ll probably come back to do more if someone hasn’t by then, but I hope this helped. Just comment back on this if you have any further questions about the questions I answered :)
Count the number of multiples of 3, 4, and 12 in the range 1-2005:
⌊2005/3⌋ ≈ ⌊668.333⌋ = 668
⌊2005/4⌋ = ⌊501.25⌋ = 501
⌊2005/12⌋ ≈ ⌊167.083⌋ = 167
(⌊<em>x</em>⌋ means the "floor" of <em>x</em>, i.e. the largest integer smaller than <em>x</em>, so ⌊<em>a</em>/<em>b</em>⌋ is what you get when you divide <em>a</em> by <em>b</em> and ignore the remainder)
Then using the inclusion/exclusion principle, there are
668 + 501 - 2•167 = 835
numbers that are multiples of 3 or 4 but not 12. We subtract the number multiples of 12 twice because the sets of multiples of 3 and 4 both contain multiples of 12. Subtracting once removes the multiples of 3 <em>and</em> 4 that occur twice. Subtracting again removes them altogether.
