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mojhsa [17]
2 years ago
15

Alan wants to bake blueberry muffins and bran muffins for the school bake sale. For a tray of blueberry muffins, Alan uses 1/3 c

up of oil and 2 eggs. For a tray of bran muffins, Alan uses 1/2 cup of oil and 1 egg. Alan has 4 cups of oil and 12 eggs on hand. He sells trays of blueberry muffins for $12 each and trays of bran muffins for $9 each. Alan wants to maximize the money raised at the bake sale. Let x represent the number of blueberry muffins and y represent the number of bran muffins Alan bakes.
What are the constraints for the problem?
Mathematics
1 answer:
True [87]2 years ago
6 0
So we know there are 12 eggs and they will be distributed like this:

12=x2+y1
and 4 cups of flour:
4=1/3x+1/2y

let's see if we can find a solution in which all the materials are used:
12=x2+y1
4=1/3x+1/2y//*6

12=2x+y
24=2x+3y//*6

substract from each other:
12=2y
y=2
12=2x+y
12=2x+2
10=2x
x=5

So if nothing is wasted, he can make 5 blueberry muffins (making 12*5=60) and 2 bran muffins (2*9=18), together 78 dollars,

would it be better if instead of the bran muffins he did blueberry muffins (which are more expensive?)
for the branberry muffins he will used the double amount needed for 1: so 1 cup of oil and 2 eggs. From this he can only make 1 tray of blueberry muffins (and some oil will be left over), which will cost 12 dollars, which is less than 18

so he better make 6 blueberry and 2 bran trays






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Answer:

2.43

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6 0
3 years ago
4g−124, g, minus, 12 when g=5g=5
allsm [11]

Answer:

4g-124= -104, g-12= -7

Step-by-step explanation:

g=5

4g-124= ?     g-12

4(5)-124         5-12

4(5)= 20        5-12= -7

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4 0
3 years ago
Stacy and Neil painted 280 ft of their living room wall with 4/5 gallon of paint. How many square feet can they paint with 3 gal
barxatty [35]

Step-by-step explanation:

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3 gallons would be 15/5.

so, what do I need to multiply 4 with to get 15 ?

4×x = 15

x = 15/4

multiplying now also 280 ft² with this factor gives us the answer :

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6 0
2 years ago
Drag each tile to the correct box. not all tiles will be used.
lana66690 [7]

Answer:

y=\frac{13}{6}x             y= \frac{11}{5}x          y = \frac{21}{9}x          y = \frac{19}{8}x

Step-by-step explanation:

Given

The attached graph

Required

Equations with higher unit rate

First, calculate the unit rate of the graph

m = \frac{y_2 - y_1}{x_2 - x_1}

Where:

(x_1.y_1) = (0,0)

(x_2.y_2) = (7,15)

So:

m = \frac{15 - 0}{7 - 0}

m = \frac{15}{7}

m = 2.143

For the given options.

The unit rate is the coefficient of x

So: y = \frac{19}{8}x

Going by the above definition of unit rate.

m = \frac{19}{8}

m = 2.375

y = \frac{27}{13}x

m = \frac{27}{13}

m = 2.077

y = \frac{21}{9}x

m = \frac{21}{9}

m = 2.333

y= \frac{11}{5}x

m= \frac{11}{5}

m= 2.20

y = \frac{15}{7}x

m = \frac{15}{7}

m = 2.143

y = \frac{31}{15}x

m = \frac{31}{15}

y = 2.067

y=\frac{13}{6}x

m=\frac{13}{6}

m=2.167

The unit rates grater than the graph's from small to large are:

y=\frac{13}{6}x             y= \frac{11}{5}x          y = \frac{21}{9}x          y = \frac{19}{8}x

m=\frac{13}{6}              m= \frac{11}{5}           m = \frac{21}{9}            m = \frac{19}{8}

4 0
3 years ago
Read 2 more answers
Please help (its a pic again)
Agata [3.3K]

Answer:

1) v= 280 in^3 sa= 262 in^2

2) v= 80 in^3 sa= 120 in^2

3) v= 36 in^3 sa= 72 in^2

4) v= 240 in^3 sa= 252 in^2

8 0
3 years ago
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