Answer:
37.68 cm.
Step-by-step explanation:
In the given figure, the radius of the circle is 6 cm. As we know the formula for Circumference of Circle is 2πr,
= 2×22/7×6cm
= 37.68 cm
23*+5 6 3-890 + 567- 678-876*8976
Answer:
156 g
Step-by-step explanation:
i took the test and it worked out well
First step in such tasks, is to find what is between each number.
8-3 = 5
13-8 = 5
13-23 = 10
Based on only the first 2, and the last one as a backup we can assume that it jumps with 5 each time, starting on 3. Hence the open spot should be:
18.
The correct answer is 18. :)
Answer:
The cost of 1 small box of apples = $7.
Step-by-step explanation:
Let x be the cost of each small box of apples and y be cost of each large box of apples.
We have been given that in the morning he sells 3 small boxes and 14 large boxes for a total of $203. We can represent this information in an equation as:
![3x+14y=203...(1)](https://tex.z-dn.net/?f=3x%2B14y%3D203...%281%29)
We are also told that in the afternoon he sells 11 small boxes and 11 large boxes for a total of $220. We can represent this information in an equation as:
Now we will solve our system of equations using substitution method. From equation (1) we will get,
![y=\frac{203-3x}{14}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B203-3x%7D%7B14%7D)
Upon substituting
in equation (2) we will get,
![11x+11(\frac{203-3x}{14})=220](https://tex.z-dn.net/?f=11x%2B11%28%5Cfrac%7B203-3x%7D%7B14%7D%29%3D220)
Upon distributing 11 we will get,
![11x+(\frac{2233-33x}{14})=220](https://tex.z-dn.net/?f=11x%2B%28%5Cfrac%7B2233-33x%7D%7B14%7D%29%3D220)
Now let us have a common denominator on the left hand side of our equation.
![\frac{154x+2233-33x}{14}=220](https://tex.z-dn.net/?f=%5Cfrac%7B154x%2B2233-33x%7D%7B14%7D%3D220)
![\frac{121x+2233}{14}=220](https://tex.z-dn.net/?f=%5Cfrac%7B121x%2B2233%7D%7B14%7D%3D220)
Upon multiplying both sides both sides on our equation by 14 we will get,
![14*\frac{121x+2233}{14}=14*220](https://tex.z-dn.net/?f=14%2A%5Cfrac%7B121x%2B2233%7D%7B14%7D%3D14%2A220)
![121x+2233=3080](https://tex.z-dn.net/?f=121x%2B2233%3D3080)
![121x=3080-2233](https://tex.z-dn.net/?f=121x%3D3080-2233)
![121x=847](https://tex.z-dn.net/?f=121x%3D847)
![x=\frac{847}{121}=7](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B847%7D%7B121%7D%3D7)
Therefore, the farmer sells each each small box of apples for $7.