If a,b, and c are prime numbers, do (a*b) and c have a common factor that is greater than 1
(1) a,b, and c are all different prime numbers
(2) c≠2
1. Let's assume values of 1,3 and 5 to a, b, and c respectively
a b = 1*3 = 3
3 and 5 do not have any common factor aside 1
Let's assume values of 1,3 and 2 to a,b and c respectively
a *b = 1*3 = 3
3 and 2 does not have a common factor aside 1
2. c 2
Let's assume values of 2,7 and 3 to a b and c response
a * b = 2 *7 = 14
14 and 3 does not have a common factor aside 1
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Answer:
<u>8 home theaters are sold for each $ 500 spent on advertising </u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Advertising ($) 1,000 - $ 2,000 - $ 3,000
Home Theaters 16 - 32 - 48
2. How many home theaters does the company sell for each $500 spent on advertising?
As we can see in the graph:
16 home theaters are sold when the amount on advertising is $ 1,000
32 home theaters are sold when the amount on advertising is $ 2,000
48 home theaters are sold when the amount on advertising is $ 3,000
Therefore, we can use this ratio:
x = Number of home theaters that are sold when the amount on advertising is $ 500
16/1,000 = x/500
1,000x = 500 *16
1,000x = 8,000
x = 8,000/1,000
<u>x = 8</u>
B). 10.63
Because 7^2=49 and 8^2=64 then 49+64=113 then the square root of 113 is 10.63
Answer:
Step-by-step explanation:
If on the coordinate map, ice cream is located at the point (-8,0) and sprinkles are located at the point (-8,6), we can find the distance between the coordinate points using the formula;
D = √(x2-x1)²+(y2-y1)²
Given
x1 = -8, y1 = 0, x2 = -8 and y2 = 6
Substitute
D = √(x2-x1)²+(y2-y1)²
D = √(-8-(-8))²+(6-0)²
D = √0²+6²
D = √36
D = 6units
Hence the distance between the coordinate points is 6units
Answer:
Step-by-step explanation: