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2 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?

1 answer:

RUDIKE [14]2 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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weqwewe [10]

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Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

28. sylvia researched changes in the deer population in her state's parks during her lifetime

kifflom [539]

Using an exponential function, it is found that it will take 24 years for the current population of 4800 deer to reduce to 600.

<h3>What is an exponential function?</h3>

An exponential function is modeled by:

$y = ab^x$

In which:

a is the initial value.

b is the rate of change, as a decimal.

In this problem, considering the initial value of 4800, and that the population halves every 8 years, the equation is given by:

$A(t) = 4800\left(\frac{1}{2}\right)^{\frac{t}{8}}$

The population will be of 600 when A(t) = 600, hence:

$A(t) = 4800\left(\frac{1}{2}\right)^{\frac{t}{8}}$

$600 = 4800\left(\frac{1}{2}\right)^{\frac{t}{8}}$

$\left(\frac{1}{2}\right)^{\frac{t}{8}} = \frac{600}{4800}$

$\left(\frac{1}{2}\right)^{\frac{t}{8}} = \frac{1}{8}$

$\left(\frac{1}{2}\right)^{\frac{t}{8}} = \left(\frac{1}{2}\right)^3$

Hence:

t/8 = 3.

t = 24.

It will take 24 years for the current population of 4800 deer to reduce to 600.

More can be learned about exponential functions at brainly.com/question/25537936

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3 0

1 year ago

One number is 8 more than another num-

viktelen [127]

The 2 numbers are 14 and 6. 14-6 = 8.
14 + 6 = 20

3 0

2 years ago

he U.S. Bureau of Labor Statistics reports that the average annual expenditure on food and drink for all families is $5700. Assu

Papessa [141]

Answer:

87.08% percentage of families spend more than $4000 annually on food and drink

Step-by-step explanation:

Given -

average annual expenditure on food and drink for all families is $5700

Mean $(\nu)$ = 5700

standard deviation $(\sigma )$ = 1500

Let X be the no of families spend annually on food and drink

percentage of families spend more than $4000 annually on food and drink =

$P(X > 4000)$ = $P(\frac{X - \nu }{\sigma }> \frac{ 4000 - 5700}{1500})$

= $P(Z > - 1.13)$ Using $(Z = \frac{X - \nu }{\sigma })$

= 1 - $P(Z$

= 1 - .1292

= .8708

= 87.08%

7 0

3 years ago

1011+111 in binary form

Ann [662]

Answer:

10010

Step-by-step explanation:

$1011=1(2)^3+0(2)^2+1(2)^1+1(2)^0$

$111=1(2)^2+1(2)^1+1(2)^0$

So $1011+111$ gives us:

$1(2)^3+0(2)^2+1(2)^1+1(2)^0$

$+$

$1(2)^2+1(2)^1+1(2)^0$

-----------------------------------------------------

Combine like terms:

$1(2)^3+(0+1)(2)^2+(1+1)(2)^1+(1+1)(2)^0$

$1(2)^3+1(2)^2+(2)(2)^1+(2)(2)^0$

We aren't allowed to have a coefficient bigger than 1.

I'm going to replace $2^0$ with 1 and $2$ with $(2)^1$ :

$1(2)^3+1(2)^2+(2)^2+(2)^1(1)$

I want a $2^0$ number:

$1(2)^3+1(2)^2+1(2)^2+1(2)^1+0(2)^0$

Combine like terms:

$1(2)^3+2(2)^2+1(2)^1+0(2)^0$

$2(2)^2=2^3$ :

$1(2)^3+2^3+1(2)^1+0(2)^0$

Combine like terms:

$2(2)^3+1(2)^1+0(2)^0$

We can rewrite the first term by law of exponents:

$2^4+1(2)^1+0(2)^0$

$1(2)^4+1(2)^1+0(2)^0$

So the binary form is:

$10010$

Maybe you like this way more:

Keep in mind 1+1=10 and that 1+1+1=11:

Setup:

1 0 1 1

+ 1 1 1

------------------------------

(1) (1) (1)

1 0 1 1

+ 1 1 1

------------------------------

1 0 0 1 0

I had to do some carry over with my 1+1=10 and 1+1+1=11.

8 0

3 years ago