Answer:
50 berries left over
Step-by-step explanation:
55 berries 1700 berries
--------------- = -------------------
1 jar x jars
Using cross products
55x = 1700*1
Divide each side by 55
55x/55 = 1700/55
x = 1700/55
Changing to a mixed number
55 goes into 1700 30 times
30 *55 =16501700-1650 = 50
x = 30 50/55 = 30 10/11
There are 50 berries left over
Answer:
81 in²
Step-by-step explanation:
The 3-dimensional shape given is a square pyramid having a square base, and 4 right triangular side faces that are the same.
The surface area can be calculated by finding the area of the square base and the area of the 4 triangular side faces. Then sum all the areas together.
Or, we can use the following formula below: Base Area + ½(Perimeter of base) × Slant Length
Where,
Base area = s² = 5² = 25 in²
Perimeter of base = 4(s) = 4(5) = 20 in
Slant height = 5.6 in
Surface area = 25 + ½(20) × 5.6
= 25 + 10 × 5.6
= 25 + 56
Surface area = 81 in²
Answer:
a) 1/6
b) 1/36
c) 1/720
d) 1/3
Step-by-step explanation:
a) Any of the six comics can perform in the fourth place, so there is one chance in six that Comic F is the one that performs fourth.

b) In this case, we have two conditions. Both are independent of each other, so the probability of both happening is the product of the probabilities of each happening individually:

c) This combination is one in all possible orders of perform. The amount of combinations of orders is n!=6!=720 possible combinations. So the probability of this specific order is:

d) In this case, of the six possible comics performing in the last place, we calculate the probability of 2 of them being in that place. So the probability is:

4% of 50000
(4/100) * 50000
2000
to find the distance between 2 points we should apply the formula
![d=\sqrt[]{(x_2-x_1)^2+(y_2-_{}y_1)^2_{}}](https://tex.z-dn.net/?f=d%3D%5Csqrt%5B%5D%7B%28x_2-x_1%29%5E2%2B%28y_2-_%7B%7Dy_1%29%5E2_%7B%7D%7D)
call point q as point 1 for reference in the formula and p as point 2
replace the coordinates in the formula
![d=\sqrt[]{(3-(-1))^2+(-4-(-1))^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%5B%5D%7B%283-%28-1%29%29%5E2%2B%28-4-%28-1%29%29%5E2%7D)
simplify the equation
![\begin{gathered} d=\sqrt[]{(3+1)^2+(-4+1)^2} \\ d=\sqrt[]{4^2+(-3)^2} \\ d=\sqrt[]{16+9} \\ d=\sqrt[]{25} \\ d=5 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20d%3D%5Csqrt%5B%5D%7B%283%2B1%29%5E2%2B%28-4%2B1%29%5E2%7D%20%5C%5C%20d%3D%5Csqrt%5B%5D%7B4%5E2%2B%28-3%29%5E2%7D%20%5C%5C%20d%3D%5Csqrt%5B%5D%7B16%2B9%7D%20%5C%5C%20d%3D%5Csqrt%5B%5D%7B25%7D%20%5C%5C%20d%3D5%20%5Cend%7Bgathered%7D)
the distance between the 2 points is 5 units