Answer:
22
Step-by-step explanation:
I would assume that the 6% rate would carry for the rest of the year, i.e. all 365 days, 6% of those have clouds interfering with stargazing
365 * 6% = 365 * 0.06 = 21.9, and round up to 22 because you can't really have .9 of a day here.
We first must calculate how many ways 2 oblects can be chosen from 5.
combinations = 5! / 2! * (5-2)!
combinations = 5*4 / 2
combinations = 10
There are 10 ways to choose the 2 buttons and 5 ways to choose the final butto so there are 10 * 5 = 50 different ways.
Source
1728.com/combinat.htm
Answer: Daniel bought 3 apples and 7 bananas.
Step-by-step explanation:
Let x represent the number of apples that Daniel bought.
Let y represent the number of bananas that Daniel bought.
He bought a total of 10 apples and bananas altogether. This means that
x + y = 10
Daniel and his children went into a grocery store and he bought $10.15 worth of apples and bananas. Each apple costs $1.75 and each banana costs $0.70. This means that
1.75x + 0.7y = 10.15 - - - - - - - - - - - 1
Substituting x = 10 - y into equation 1, it becomes
1.75(10 - y) + 0.7y = 10.15
17.5 - 1.75y + 0.7y = 10.15
- 1.75y + 0.7y = 10.15 - 17.5
- 1.05y = - 7.35
y = - 7.35/- 1.05
y = 7
x = 10 - y = 10 - 7
x = 3
9514 1404 393
Answer:
34.5 square meters
Step-by-step explanation:
We assume you want to find the area of the shaded region. (The actual question is not visible here.)
The area of the triangle (including the rectangle) is given by the formula ...
A = 1/2bh
The figure shows the base of the triangle is 11 m, and the height is 1+5+3 = 9 m. So, the triangle area is ...
A = (1/2)(11 m)(9 m) = 49.5 m^2
The rectangle area is the product of its length and width:
A = LW
The figure shows the rectangle is 5 m high and 3 m wide, so its area is ...
A = (5 m)(3 m) = 15 m^2
The shaded area is the difference between the triangle area and the rectangle area:
shaded area = 49.5 m^2 - 15 m^2 = 34.5 m^2
The shaded region has an area of 34.5 square meters.
B + N = 18 and 6B + 5N = 101. This is the system of equations you would use.
