All categories

4 years ago

Can someone solve this Im to lazy !

Mathematics

1 answer:

Sladkaya [172]4 years ago

7 0

Not impressed that you consider yourself "too lazy" to at least get started on the solution of this problem. Why not "give it the old college try?"

Start by choosing letters to represent the unit cost of each popcorn and drink:
p: popcorn, d: drink.

Then 2p + 3d = $22.25 and 12p+4d=$39.00
Note that the unit of measurement of all 6 terms here is " $ ".

Solve this system of linear equations simultaneously:

2p + 3d = $22.25
12p+4d=$39.00

In your shoes I would mult. the first equation by -6 and then combine the result with the second equation. p will temporarily disappear, and you'll be left with an equation in d only, enabling you to find the unit cost of a drink.

Come on. Show your stuff. You'll need to respond through Comments.

You might be interested in

QUESTION 3 [10 MARKS] A bakery finds that the price they can sell cakes is given by the function p = 580 − 10x where x is the nu

Harman [31]

Answer:

(a)Revenue function, $R(x)=580x-x^2$

Marginal Revenue function, R'(x)=580-2x

(b)Fixed cost =900 .

Marginal Cost Function=300+50x

(c)Profit, $P(x)=-35x^2+280x-900$

(d)x=4

Step-by-step explanation:

Part A

Price Function $= 580 - 10x$

The revenue function

$R(x)=x\cdot (580-10x)\\R(x)=580x-x^2$

The marginal revenue function

$\dfrac{dR}{dx}= \dfrac{d}{dx}(R(x))=\dfrac{d}{dx}(580x-x^2)=580-2x\\R'(x)=580-2x$

Part B

(Fixed Cost)

The total cost function of the company is given by $c=(30+5x)^2$

We expand the expression

$(30+5x)^2=(30+5x)(30+5x)=900+300x+25x^2$

Therefore, the fixed cost is 900 .

Marginal Cost Function

If $c=900+300x+25x^2$

Marginal Cost Function, $\frac{dc}{dx}= (900+300x+25x^2)'=300+50x$

Part C

Profit Function

Profit=Revenue -Total cost

$580x-10x^2-(900+300x+25x^2)\\580x-10x^2-900-300x-25x^2\\$Profit,P(x)=-35x^2+280x-900$

Part D

To maximize profit, we find the derivative of the profit function, equate it to zero and solve for x.

$P(x)=-35x^2+280x-900\\P'(x)=-70x+280\\-70x+280=0\\-70x=-280\\$Divide both sides by -70\\x=4$

The number of cakes that maximizes profit is 4.

6 0

3 years ago

Earline has put $250 into her savings account.To do this,she made 10 deposits of the same amount.Write and solve a multiplicatio

Colt1911 [192]

Not sure if this is what your looking for but 25x10=250

5 0

4 years ago

Read 2 more answers

Find S15 for the geometric series 72 + 12 + 2 + 1/3 +…

Gemiola [76]

S1 = 72
S2 = 12 = 72*(1/6)
S3 = 2 = 72*(1/6)^2
.
.
.
S15 = 72*(1/6)^14 = 9.18*10^(-10)

5 0

3 years ago

If x equals 4 what is the value of y in the example below y= 1/4 4.

ddd [48]

Answer:

sorry i cant help

Step-by-step explanation:

6 0

3 years ago

Miss Jones attended a a southern living home party she purchased a vase which cost $34.99The shipping charge was three dollars a

jenyasd209 [6]

The answer is $41.12
(Work is below)

First add the total of the vase and shipping-
Vase: $34.99
Shipping: $ 3.00
+__________
$37.99

Then calculate sales tax by multiplying $37.99 x 0.0825 -
Above Total: $37.99
Sales Tax Rate: $ 0.0825
x__________
$ 3.1341
You round down because ^ less than five (five or above you would round up)

Sales Tax: $3.13

Then you add the sales tax to the above total

Vase: $37.99
Shipping: $ 3.13
+__________
$41.12

8 0

3 years ago