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Anarel [89]
3 years ago
14

There are 40 grams of sugar in a 12 oz can of Dr Pepper. If your max intake of sugar permitted for the day is 25 grams, how much

of the Dr. Pepper can you drink?

Mathematics
2 answers:
Zarrin [17]3 years ago
6 0

To answer this question, we can set up a proportion:

\frac{40g}{12oz} =\frac{25g}{x}

Then we cross multiply and solve for x:

40x=300

x=7.5oz

So you can drink 7.5 oz of the Dr. Pepper in one day.

Thepotemich [5.8K]3 years ago
6 0

Answer:

7.5 oz can of Dr.Pepper.

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.

Since we are given 3 specific values as well as a variable, and because this is a ratio problem we can use the <u><em>Rule of Three technique</em></u> in order to calculate the amount of Dr.Pepper that you can drink. This Technique is demonstrated in the picture attached below.

Let's apply this technique with the values given to us in the question.

40 grams   ⇒   12 oz

25 grams   ⇒   x

\frac{25*12}{40} = x

7.5oz = x

Therefore, we can see that with a limit of 25 grams you can drink a maximum of a 7.5 oz can of Dr.Pepper.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

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Goshia [24]
There is an example hope it helped

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3 years ago
A parabola $ax^2+bx+c$ contains the points $(-1,0)$, $(0,5)$, and $(5,0)$. Find the value $100a+10b+c$.
victus00 [196]

Answer:

STOP CHEATING ON AOPS WORK!!!!

Step-by-step explanation:

1. pay attention in class

2. ask message board if you need to

3. stop googling answers

4. you paid lots of money for this course so its all going to waste now thanks to your laziness you ugly piece of sH*t

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3 years ago
how do i write an equation of a quadratic formula when given the roots and y intercept? is there a formula i can plug the number
klio [65]

9514 1404 393

Answer:

  y = -3x^2 +3x +6

Step-by-step explanation:

For roots p and q, the equation can be written as ...

  y = a(x -p)(x -q)

The value of 'a' must be determined so that the product <em>apq</em> is equal to the y-intercept. One could say that the formula is ...

  y = (y-intercept)/(pq)·(x -p)(x -q)

For your given values of p = 2, q = -1, y-intercept = 6, this becomes ...

  y = 6/(2(-1))(x -2)(x +1)

  y = -3(x^2 -x -2) . . . . . simplifying a bit

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7 0
2 years ago
You need to construct an open-top rectangular box with a square base that must hold a volume of exactly 475 cm3. The material fo
zepelin [54]

Answer:

The dimensions of the box are:

x =  8,93 cm       and     h  =   5,95 cm

C(min) =  850,69 cents

Step-by-step explanation:

The volume of the box is:

V = x²*h          where    x is the side of the square base  and h the height

then    h  =  V/ x²  ⇒    h = 475 / x²

The total cost of box C is:

C  = C₁  +  4*C₂      Where C₁  and C₂  are the costs of the base and one lateral side respectevily

Then cost C =  8*x²   + 4* 6*h*x

The cost C as a function of x is

C(x)  =  8*x²  + (24* 475 /x² )*x

C(x)  =  8*x²  +  11400/x

Tacking derivatives on both sides of the equation

C´(x)  =  16*x -  11400/x²

C´(x)  =  0     ⇒    16*x  -  11400/x²  = 0

16*x³  =  11400     ⇒   x³  =  11400/16

x³ =  712,5

x  =  8,93  cm

and    h   =  475 / (8,93)²      ⇒      h  =  5,95  cm

C(min)  =  8*79,77  +  4* ( 8,93)*5,95

C(min)  =  638,16  +  212,53

C(min)  =  850,69 cents

To check if value x = 8,93 would make C(x) minimum we go to the second derivatives

C´´(x) =  16  +  22800/x³ > 0

Then we have a minimum of C at  x = 8,93

4 0
3 years ago
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11111nata11111 [884]

Answer:

$450>$235

Step-by-step explanation:

This is because, when 235 is subtracted from 450 there is a great difference thats why $450 is greater than $235

4 0
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