Answer:
The frequency table is attached below.
Step-by-step explanation:
Given the total number of candies in the box = 18
Frequency table is used to list the occurence of a thing or product and it helps to calculate and sort down easily.
<u>Contains caramel</u> <u>Do not contain caramel</u> Total
<u>Contains chocolate</u> 10 2 12
<u>Do not contain </u> 3 3 6
<u>chocolate</u>
Total number of candies as per the frequency tablr = 12 + 6 = 18 which tallies with the given data.
First we write equation that consist coordinates of center and radius. That formula goes like this:
(x-x1)^2 + (y-y1)^2 = r^2
x and y are coordinates on any point on circle
x1 and y1 are coordinates of center of circle.
r is radius of that circle. now we need to express our values for center and radius andf square binoms and see what matches in our options.
(x-3)^2 + (y-8)^2 = 5^2
x^2 + y^2 -6x -16y +48 = 0
The answer is first option.
Answer:24 inches
Step-by-step explanation:
8+8+8+8=24
Cost of walnuts = 45 cents per pound
Weight of walnuts in mixture = x pounds
So, total cost of walnuts in the mixture = 45x
This gives the cost in cents. The cost in dollars will be = 0.45x
Cost of pecans = 60 cents per pound
Since total weight of the mixture is 90 pounds. The weight of pecans in the mixture will be (90 - x) pounds.
So, total cost of pecans in the mixture will be = 60 (90 - x)
This gives the cost in cents, the cost in dollars will be = 0.6 (90 - x)
x pounds of walunts and (90-x) pounds of pecans are mixed to produce a mixture to sell at 55 cents per pound. So,we can set up the equation for this case as:
Cost of Walnuts + Cost of Pecans = Cost of Mixture

Using this equation, we can find the weight of walnuts, using x we can also find the weight of pecans. From weights we can then calculate the cost of walnuts and pecans used in the mixture.