This word problem basically suggests that the agent took 30% of $2075 off. So we set up the first equation like so and solve:
2075 * .30 = x
622.50 = x
So now that you have the exact amount lower the agent found, subtract this from the original price:
2075 - 622.50
= 1452.50
Thus, the price the travel agent found was $1452.50
Answer:
Step-by-step explanation:
Given,
To give the probability that your last coin toss came up tails
the probability that the last coin toss came up tails = likelihood of occurring that all 4 were tails when coin tossed 4 times + likelihood of occurring last toss gives tail & 1st four tosses were head when coin is tossed 5 times
= (1/2)^4 + [(1/2)^5 + (1/2)^5 + (1/2)^5 + (1/2)^5]
= 1/16 + [4*(1/32)]
= 1/16 + 1/8
= 3/16
= 0.1875
Answer:
The equation of circle A with radius AC is
, or in other words option d.
Step-by-step explanation:
If the radius of this circle is AC, then we can determine the distance between points A ( - 1, 4 ) and C ( - 5,1 ) to come to the length of the radius -
Distance between A and C = ![\sqrt{(-5-(-1))^2+(1-4)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28-5-%28-1%29%29%5E2%2B%281-4%29%5E2%7D)
= ![\sqrt{(-4)^2+(-3)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28-4%29%5E2%2B%28-3%29%5E2%7D)
=
=
= 5 units - Which is also the length of the radius of the circle.
So if the radius is given to be 5 in length, knowing that the general equation for a circle is
( where ( h, k ) is the center and r is the radius ) if the radius is 5,
, and solution must be option b / option d.
Now if the radius is AC, the center point must be point A ( circle A ). Therefore point ( - 1, 4 ) is the center, and the equation of the circle must be the following -
![( x - ( - 1 ))^2 + ( y - 4 )^2 = 25](https://tex.z-dn.net/?f=%28%20x%20-%20%28%20-%201%20%20%29%29%5E2%20%2B%20%28%20y%20-%204%20%29%5E2%20%3D%2025)
=
- and hence our solution is option d
Answer:
Step-by-step explanation:
![a) 15*\frac{2}{5}=6\\\\\frac{30}{5}=6](https://tex.z-dn.net/?f=a%29%2015%2A%5Cfrac%7B2%7D%7B5%7D%3D6%5C%5C%5C%5C%5Cfrac%7B30%7D%7B5%7D%3D6)
Two division equations:
30 ÷ 5 = 6
30 ÷ 6 = 5
![b) 6*\frac{4}{3}=8\\\\\frac{24}{3}=8](https://tex.z-dn.net/?f=b%29%206%2A%5Cfrac%7B4%7D%7B3%7D%3D8%5C%5C%5C%5C%5Cfrac%7B24%7D%7B3%7D%3D8)
Two division equations:
24 ÷ 3 = 8
24 ÷ 8 = 3
![c) 16*\frac{7}{8}=14\\\\\frac{112}{8}=14](https://tex.z-dn.net/?f=c%29%2016%2A%5Cfrac%7B7%7D%7B8%7D%3D14%5C%5C%5C%5C%5Cfrac%7B112%7D%7B8%7D%3D14)
Two division equations:
112 ÷ 8 = 14
112 ÷ 14 = 8
Answer:
1. 12/26, or simplified as 6/13, or about 46%.
2. 5/26, or about 19%.