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tino4ka555 [31]
2 years ago
8

In 20 years Lillian will be three years older than twice her current age. Set up an equation that

Mathematics
1 answer:
AlladinOne [14]2 years ago
4 0

Answer:

ok so x is her currect age y is her age in 20 years

2x+6=y

x+20=y

that means that both sides are equal

2x+6=x+20

-6

2x=x+14

-x

x=14

so her currect age is 14 and lets plug in

14+20=34

her currect age is 14 and her age in 20 years is 34

Hope This Helps!!!

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zoe paid $18.60 in sales tax and tips for her dinner. The sales tax rate is 11%, and she tipped 20%. (the sales tax does not app
arsen [322]

Answer:

$13.97  was the price of the dinner b4 tax and tip

Step-by-step explanation:

18.60 - 11% (1.84) = 16.76

16.76 - 20%(2.79) = 13.97

5 0
3 years ago
Which equation is represented by the graph below?
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6 0
3 years ago
A pharmaceutical company decided to manufacture new food supplement pills. It will need to add some vitamins to the mix. It deci
WINSTONCH [101]

Answer:

Minimize:    Cost = 40X+35Y

Subject to:  2X + 2Y ≥ 12

                   5X + 3Y ≥ 15

Step-by-step explanation:

To formulate a linear programming model we need to identify the variables of decision, the objective functions and the constraints.

So, the variables of decision are the quantity of every vitamin mix and we are going to call:

X: The quantity of vitamin mix 1

Y: The quantity of vitamin mix 2

Our objective function is going to be minimize the cost of the both mixes, so, the objective function is:

Minimize Cost = 40X + 35Y

Because vitamin mix 1 cost $40 and vitamin mix 2 cost $35

Finally, the constraints are defined by the following sentence: both mixes have to contain at least 12 units of vitamin B and 15 of vitamin C. Ot means that we have a constraint for vitamin B and a constraint for vitamin C.

Then if Vitamin mix 1 contains 2 units of vitamin B and vitamin mix 2 contain 2 units of vitamin B, the constraint associated to vitamin B is:

2X + 2Y ≥ 12

And, if Vitamin mix 1 contains 5 units of vitamin C and vitamin mix 2 contain 3 units of vitamin C, The constraint associated to vitamin C is:

5X + 3Y ≥ 15

So, the linear programing model is:

Minimize:    Cost = 40X+35Y

Subject to:  2X + 2Y ≥ 12

                   5X + 3Y ≥ 15

7 0
3 years ago
What is the dimension of a rectangle if the perimeter is 198
AfilCa [17]

Answer:

Length = 49.5 unit and width = 49.5 unit

Step-by-step explanation:

Given as , Perimeter of rectangle = 198 unit

so ,as Perimeter of rectangle = 2× ( Length + width)

Or,                                   198 = 2 ×  (Length + width)

Or,                                   \frac{198}{2} = length + width

So, length + width = 99 unit

Now to make area maximum

Length × width = maximum

Or, (99 - width ) × width = maximum

      99 Width - width² = maximum                              Let width = W

Now differentiate both side with respect to W

D(99W - W²)\frac{D(99w - w^2)}{Dw} = 0         as, constant diff is 0

So, 99 - 2w = 0

Or, w = \frac{99}{2}

Or, w = 49.5 unit    and L = 99- 4905 = 49.5 unit      Answer

3 0
3 years ago
3. Let x = - and y =
alukav5142 [94]

Answer:

answer is d

Step-by-step explanation:

7 0
3 years ago
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