Answer:
Jonas can make 4 bouquets, each containing 4 carnations and 3 roses.
Step-by-step explanation:
Given that Jonas has 16 carnations and 12 roses, and he wants to make identical bouquets for a party, to determine how many bouquets can he make the following calculation must be performed, obtaining the largest common divisor between both numbers:
12 = Divisible by 2, 3, 4, 6 and 12
16 = Divisible by 2, 4, 8 and 16
Thus, the common greatest divisor between the two numbers is 4.
12/4 = 3
16/4 = 4
So, Jonas can make 4 bouquets, each containing 4 carnations and 3 roses.
Answer:
The probability that she sees exactly 4 shooting stars in the next hour is 0.13
Step-by-step explanation:
An assumption is made that she see the shooting stars of 6 every hour based on a poisson distribution.
where m is the average per hour = 6
Answer:
1
Step-by-step explanation:
The GCF of 15 : 1, 3, 5, 15
The GCF of 647 : 1, 647
The only GCF that was on both lists was 1
Answer:
42ft
Step-by-step explanation:
Area of a triangle = 1/2 * base * height
So that little triangle section:
1/2 * 2 * 3 = 1/2 * 6 = 3
Now we do the rectangle Section:
Area of a rectangle = length * width
So that rectangle is 3 * 7 = 21
If you eliminate those two shapes, you are left with a trapezoid.
Area of a trapezoid is 1/2 * (base 1 + base 2) * height
Base 1 is 3 which is the width of the rectangle.
Base 2 is the 6.
The height is the given 11 feet subtracted by the 7 feet from the length of the rectangle which is 4.
Plug all this in to the formula you get 1/2 * (6 + 3) * 4 = 1/2 * 9 * 4 = 1/2 * 36 = 18.
Now add all of your areas together;
21 + 3 + 18 = 24 + 18 = 42
Answer:
Total surface area of the pyramid = 
Step-by-step explanation:
To find the surface area of the triangular- based pyramid, we will use the formula:
Surface area = Area of base + Area of the three faces
Area of base of the pyramid = Area of equilateral triangle = 
Area of the slant faces of the pyramid is 
Since there are 3 slant surfaces the total surface area of the pyramid =
