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Lunna [17]
3 years ago
7

The label shows nutritional benefits for an entire 12-fluid-ounce sports drink. The beverage company wants to produce a 16-fluid

-ounce bottle of the same drink.
The 12 oz drink has 120 calories and 24grams of carbohydrates.

How many calories and grams (g) of carbohydrates should the company put on the 16oz nutrition-facts label?
Mathematics
1 answer:
RUDIKE [14]3 years ago
8 0

Answer:

160 calories and 32 grams of carbohydrates

Step-by-step explanation:

You first find the calories and carbohydrates per ounce.

120 / 12 = 10 calories per ounce

24 / 12 = 2 grams of carbohydrates per ounce

You then multiply these by the new number of ounces

16 x 10 = 160 calories

16 x 2 = 32 grams of carbohydrates

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In a geometric sequence, the ratio between consecutive terms is...
Leokris [45]
<h3>Answer: The same or equal</h3>

========================================================

Explanation:

Consider an example like 3, 6, 12, 24, 48, ...

The ratio between consecutive terms is

  • 6/3 = 2
  • 12/6 = 2
  • 24/12 = 2
  • 48/2 = 2

Each time we divide any given term over its previous one, we get the same ratio 2. We call this the common ratio. In terms of notation, the variable r is used for the common ratio, so r = 2 in this case.

As another example, the geometric sequence 5, 50, 500, 5000, ... has r = 10 as the common ratio because we multiply each term by 10 to get the next one. Moving forward has us multiply by r, moving backward and we divide by r. The value of r cannot be zero, but it can be negative.

An example with r being negative would be something like

1, -1, 1, -1, 1, -1, ....

we just bounce back and forth between those two values. In this case, r = -1.

6 0
3 years ago
A right triangle ABC with right angle at B and base BC is drawn. Length of AB is 12, length of BC is 11.5. A similar right trian
expeople1 [14]

Answer:

Option D is correct.

Length of PQ is 36 unit.

Explanation:

If the measures of two sides in one triangle are proportional to the corresponding sides in the another triangle and their including angles are congruent, then the triangles are similar.

Given: Right angle triangle ABC at B , Length of AB = 12 unit and length of BC = 11.5 unit and in right angle triangle PQR at Q , length of QR = 34.5 unit.

Also it is given that  Angle A is congruent to angle P and angle C is congruent to angle R.

To find the length of QR:

It is given that ΔABC and ΔPQR are Similar triangle

then, by the definition of similar triangle:

\frac{PQ}{AB} = \frac{QR}{BC}

Substitute the value of AB, QR and BC to solve for PQ;

\frac{PQ}{12}=\frac{34.5}{11.5} or

PQ = \frac{34.5 \times 12}{11.5}

On simplify:

PQ = 3 \times 12 = 36

Therefore, the length of side PQ is 36 units.





8 0
3 years ago
Read 2 more answers
Find an irrational number between -10 and -10.1.
Pavlova-9 [17]
   
Between two rational numbers there are an infinite number of irrational numbers.

Example:


- 5 \sqrt{3} -\sqrt{2}= 5 \times 1.7320508 - 1.41421356 \approx -10.0744676\\\\&#10;-10.1 \ \textless \  -10,0744676 \ \textless \  -10



6 0
3 years ago
What is the result of (x^2 – 10x) – (–5x^2 + x)?
Tanzania [10]

Answer:

( {x}^{2}  - 10x) - ( - 5 {x}^{2}  + x) \\  {x}^{2}  - 10x + 5 {x}^{2}  - x \\  \boxed{6 {x}^{2}  - 11x}

<h3>(6x²-11x) is the right answer.</h3>
6 0
3 years ago
In 1980, the median age of the U.S. population was 30.0; in 2000, the median age was 35.3.
miss Akunina [59]

Answer:

y = 0.265x - 494.7

Step-by-step explanation:

Let median age be represent by 'a' and time be represent by 't'

In 1980, median age is given 30

which means that

a₁ = 30

t₁ = 1980

In 2000, the median age is given 35.3

which means that.

a₂ = 35.3

t₂ = 2000

The slope 'm' of the linear equation can be found by:

m = (a₂ - a₁) /(t₂ - t₁)

m = (35.3 - 30)/(2000-1980)

m = 0.265

General form of linear equation is given by:

y = mx + c

y = 0.265x +c

Substitute point (1980,30) in the equation.

30 = 0.265(1980) + c

c = -494.7

Hence the the linear equation can be written as:

y = mx + c

y = 0.265x - 494.7

4 0
3 years ago
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