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harkovskaia [24]
3 years ago
13

A recipe calls for 3/4 cup of butter. Angie wants to triple the recipe, but she has only 1 5/8.

Mathematics
1 answer:
Alenkasestr [34]3 years ago
5 0
So tripple of 3/4 is 3/4 times 3/1=9/4=2 and 1/4
she has 1 and 5/8
compare 1 and 5/8 and 2 and 1/4

convert 1/4 to 2/8

she has 1 and 5/8 but she needs 2 and 2/8
1=8/8
1 and 5/8 and needs 1 and 10/8
1 and 5/8+x=1 and 10/8
subtract 1
5/8+x=10/8
subtrarct 5/8
x=5/8
she must borrow 5/8 cups from neighbor
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For problems like this, we need to find the pattern between the set of numbers to create a general equation for f(x). Given that x is the shipment number, let us first observe the first six shipments' behavior.
1  10 |
2  16 = 10 + 1(6) |
3  22 = 10 + 2(6) |
4  28 = 10 + 3(6)|  
5  34 = 10 + 4(6) |
6  40 = 10 + 5(6) |

From these, we can observe that given x number of shipments, the total number of objects would be 10 + (x-1)6 = 10 + 6x - 6 = 6x +4. Thus, given f(x), we have 

f(x) = 6x + 4
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3 years ago
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2 years ago
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Komok [63]

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