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vaieri [72.5K]
3 years ago
15

Translate the description as an algebraic expression:the square of the ratio of 11 and k​

Mathematics
1 answer:
damaskus [11]3 years ago
6 0

Answer:

The given description is equivalent to the algebraic expression,

(\frac {11}{k})^{2}

Step-by-step explanation:

The given description is ,

'The square of the ratio of 11 and k'

which is equivalent to the algebraic expression,

(\frac {11}{k})^{2}

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Does anybody know the answer
denis-greek [22]

Answer:

hypotenuse aka the longest line on a right angle

7 0
3 years ago
Read 2 more answers
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
Sam rolled a die 75 times. On 39 of those rolls, he had a 6. Which statement is TRUE when the probabilities are compared?
svetlana [45]

Answer:

D)The experimental probability is greater than the theoretical probability

Step-by-step explanation:

Given:

75 times a die is rolled out of 39 times it got 6

To Find :

Which statement is true?

Solution:

The theoretical probability is given by the ,

Pt=No.of favorable outcomes/Total outcomes

Here favorable is getting 6 on the die

so how many times we can get 6 =1 time

Total outcomes =6

Pt=1/6

Pt=0.1667

Now for

The experimental Probability ,

Pe=Number times that event occur /Total no of trails

Here 39 times we get 6 and total no trails are 75

Pe=39/75

Pe=0.52

Hence we can say that Pe>Pt.

8 0
3 years ago
Read 2 more answers
As part of a new advertising campaign, a beverage company wants to increase the dimensions of their cans by a multiple of 1.12.
olga_2 [115]

Answer:

The new can can hold upto volume of 476.69 cubic centimeters.

Step-by-step explanation:

Diameter of the can = d = 6 cm

Radius of the can = r = 0.5d = 0.5 × 6 cm = 3 cm

Height of the can = h = 12 cm

Company wants to increase the dimensions of their cans by a multiple of 1.12. So, the new dimension will be:

r'= 3 cm × 1.12 = 3.36 cm

h' = 12 cm × 1.12 =13.44 cm

Volume of the = can = V

Volume of a cylinder = \pi r^2h

V=\pi r'^2h'

=3.14\times (3.36 cm)^2\times 13.44 cm=476.6808 cm^3\approx 476.68 cm^3

The new can can hold upto volume of 476.69 cubic centimeters.

3 0
3 years ago
Mary eats 5 bananas and an additional 2 bananas when she works out for 2 hours. Represent the number of bananas that she eats wh
ElenaW [278]
For this item, we let x be the number of hours she works out and y be the total number of bananas that she will be eating after the workout. The expression that best described the given above is,
                             y = 5 + 2x
5 is given as the y-intercept because of the initial condition. 
8 0
3 years ago
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