Answer:
The answer is a= 
Step-by-step explanation:
Combine like terms and we get,

divide both sides of the equation by ax, and simplify further,
notice that we can reduce the 24 over 6 1/2,
distribute and simplify further
And a=
Christy should make at least 30 bracelets and at most 40 necklaces to maximize profit
<h3>How to determine how many bead of each type of bracelets and necklaces should Christy make to maximize his profit?</h3>
The given parameters can be represented in the following tabular form:
Bracelet (x) Necklace (y) Total
Labor (hour) 0.5 0.75 40
Profit 10 18
From the above table, we have the following:
Objective function:
Max P = 10x + 18y
Subject to:
0.5x + 0.75y <= 40
Because she wants to make at least 30 bracelets, we have:
x >= 30
So, we have:
Max P = 10x + 18y
Subject to:
0.5x + 0.75y <= 40
x >= 30
Express x >= 30 as equation
x = 30
Substitute x = 30 in 0.5x + 0.75y <= 40
0.5 * 30 + 0.75y <= 40
This gives
15 + 0.75y <= 40
Subtract 15 from both sides
0.75y <= 30
Divide by 0.75
y <= 40
Hence, Christy should make at least 30 bracelets and at most 40 necklaces to maximize profit
Read more about maximizing profits at:
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Answer:
A
Step-by-step explanation:
First I converted the fractions into decimals to make it easier to solve.
2 1/2 —> 2.5
1 3/4 —> 1.75
Then I added the two decimals together.
2.5 + 1.75 = 4.25
Then I divided this number by 100 (the number of cups in one bag)
100/4.25=23.529
With this equation I know that one bag lasts 23 full days.
This is almost a month, and so it would not make sense for the answers to be B, C, or D.
Hope this helped
Use algebra.
Let the number of stickers each had in the beginning = x stickers.
Ray lost 10 we represent this by
x - 10 ( = no. stickers he has now)
Tom bought 200 so the number of stickers he now has
= x + 200
Rays has 1/4 as much as Tom so we can now create the equation
1/4(x + 200) = x - 10
Soling for x:-
1/4 x + 50 = x - 10
60 = 3/4 x
x = 60 * 4/3 = 80
Answer they had 80 stickers at first.