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Zepler [3.9K]
3 years ago
11

Emmet has already baked 2 pies, and he can bake 2 pies with each additional cup of sugar he buys. How many additional cups of su

gar does Emmet need in order to bake a total of 40 pies?
Mathematics
1 answer:
Elan Coil [88]3 years ago
8 0

Answer:

19 cups

Step-by-step explanation:

So, you need 38 more pies. You have to divide 38 by 2 to get 19 cups of sugar.

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Answer:
a) a= (3/4)t
4a = 3t
b = (5/2)t
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b)See explanation below
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Step-by-step explanation:
a) First we would represent the information given in terms of amount of bracelet produced and time spent in production with variables in order to convert to linear equations
Let number of bracelet Darrelle makes = a
Number of bracelet Danica makes = b
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Danica makes 5 bracelets every 2 hours:
Rate of producing bracelet = (number of bracelet produced)/time
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Linear equation form: y = mx + c
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b) The equations are linear equations, hence they can be graphed.
But as regards graphing using special functions, this answer can only be answered by you as I'm not aware of the special functions discussed in the course.
c) Darrelle makes $10.50 in profit per bracelet.
Danica makes $3.50 in profit per bracelet
Since Darrelle and Danica work the same amount of time, we have to find the relationship between their profit, the number of bracelets produced and the time.
Profit for Darrelle for 'a' number of bracelet product = $10.50 × a = $10.50a
Profit for Danica per 'b' number of bracelet product = $3.50 × b = $3.50b
Let P = total profit made by both
P = $10.50a + $3.50b
Relationship of profit in terms of time spent in production when they work same amount of time:
P = $10.50(3/4 ×t)+ $3.50(5/2 × t)
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When P = $500, t = ?
500 = 10.50(3/4 ×t)+ 3.50(5/2 × t)
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500 = 16.625t
t = 30.075 hours
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