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AnnZ [28]
3 years ago
15

A student has some $5 bills and $10 bills in her wallet for a total of $100. The amount of $10 bills she has is 3 more than 3 ti

mes the amount of $5 bills. How many of each type of bills does she have?
Mathematics
1 answer:
Sergeu [11.5K]3 years ago
7 0

Answer:

she has 6 $5 bills and 4 $10 bills I think I'm not sure

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Kilgore's Deli is a small delicatessen located near a major university. Kilgore does a large walk-in carry-out lunch business. T
AfilCa [17]

Answer:

z (max)  =  6.15

x₁  =  1       x₂ =  3    x₃  =  6

Amount of beef leftover     2 lb

Amount of onions leftover   0

Amount of  Special Sauce leftover 61

Amount of Hot Sauce leftover   9

Step-by-step explanation:

Ingredients              Beef      Onions    Special S   Hot S      Profit  

Wimpy  (x₁)                   1              2                5              0             0.6

Dial 911 (x₂)                   1              2                2              5             0.55

Fire Bowl (x₃)                1.5           2                3              6             0.65

Available                       15            20             90             60        

Objective Function z:

z  =  0.6*x₁  +  0.55*x₂  +  0.65*x₃      to maximize

Subject to:

1) Quantity of beef : 15

x₁  +  x₂  + 1.5*x₃  ≤  15

2) Quantity of onions:  20

2*x₁  +  2*x₂  +  2*x₃  ≤  20

3) Quantity of Special sauce: 90

5*x₁  + 2*x₂  + 3*x₃  ≤  90

4) Quantity of hot sauce:  60

0*x₁   + 5*x₂  + 6*x₃  ≤  60

5) Condition: The number of servings for Fire Bowl must be at least 10% of the total number of servings for all three luncheon chili specials.

x₃  ≥  0.1 ( x₁  +  x₂   +  x₃ )     or    x₃    ≥   0.1*x₁  +  0.1 *x₂  + 0.1*x₃

x₃   -   0.1*x₁  -  0.1 *x₂  - 0.1*x₃   ≥  0

-   0.1*x₁  -  0.1 *x₂   +    0.9 *x₃   ≥  0

6)Condition: The number of servings for Fire Bowl, however, cannot exceed the number of Dial 911 by more than 3.

x₃  -  x₂  ≤  3

7)the available number of servings for Dial 911 must be at least 2.

x₂  ≥  2

General constraints:

x₁  ≥   0           x₃   ≥ 0    all integers

With on-line solver solution  is:

z (max)  =  6.15

x₁  =  1       x₂ =  3    x₃  =  6

By sbstitution on the constraints

1)   x₁  +  x₂  + 1.5*x₃  ≤  15               1 + 3 + 9  = 13

Amount of beef leftover     2 lb

2)  2*x₁  +  2*x₂  +  2*x₃  ≤  20          2 + 6  + 12 = 20

Amount of onions leftover   0

3) 5*x₁  + 2*x₂  + 3*x₃  ≤  90             5  + 6  + 18 = 29

Amount of  Special Sauce leftover 61

4)0*x₁   + 5*x₂  + 6*x₃  ≤  60             15  +  36  = 51

Amount of Hot Sauce leftover   9

3 0
2 years ago
Owen plots the numbers 4, –6, –8, and –3 on a horizontal number line. Which list shows the numbers in the order in which they wo
olga_2 [115]

Answer:-8, -6,-3, 4 is the correct answer

Step-by-step explanation:

7 0
3 years ago
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Each snack at the concession stand is priced at $4.00. All of the snacks cost a total of $86.56. How many snacks will need to be
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Answer:

25

Step-by-step explanation:

25*4=100 there for you need 25 snacks sold.

8 0
3 years ago
A music store 3,550 CDs. Each CD rack holds 15 CDs. How many racks does the store need to use to hold all the CDs?
pentagon [3]
3550 cds divided by 15 cds/ rack = 236.66667

Meaning that there will be 236 full racks and the last rack will only have 10 cds
5 0
3 years ago
Darnell went to the movies with his friends. The movie started at 2:35 pm and lasted 1 hour and 45 minutes. What time did the mo
gregori [183]
4:20. 2:35+ an hour is 3:35+45 minutes is 4:20
7 0
3 years ago
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