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kicyunya [14]
1 year ago
14

A new energy drink advertises 120 calories for 5 oz. How many calories are in 15 oz of drink

Mathematics
1 answer:
Alex777 [14]1 year ago
4 0

A new energy drink advertises 120 calories for 5 oz.

How many calories are in 15 oz?

We can set up a proportion to solve this problem

\frac{120}{5}=\frac{x}{15}

Where x is the number of calories in 15 oz

Let us solve the above equation for x

\begin{gathered} \frac{120}{5}=\frac{x}{15} \\ \frac{x}{15}=\frac{120}{5} \\ x=\frac{120}{5}\cdot15 \\ x=120\cdot3 \\ x=360 \end{gathered}

Therefore, there are 360 calories in 15 oz of drink.

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What is the answer to this?
Dennis_Churaev [7]

Answer:

<h2>x = 14, z = 65</h2>

Step-by-step explanation:

The angles (5x - 5)° and (6x + 31)° are supplementary angles.

Supplementary Angles add up to 180°.

Therefore we have the equation:

5x - 5 + 6x + 31 = 180             <em>combine like terms</em>

(5x + 6x) + (-5 + 31) = 180

11x + 26 = 180               <em>subtract 26 from both sides</em>

11x = 154             <em>divide both sides by 11</em>

x = 14

The angles (5x - 5)° and z° are vertical angles.

Vertical angles are congruent.

Therefore we have the equation:

z = 5x - 5               <em>put x = 14 to the equation</em>

z = 5(14) - 5

z = 70 - 5

z = 65

4 0
2 years ago
A³b² a²b simplify the following expression
liberstina [14]

Answer:

a^{5}b^{3}

Step-by-step explanation:

The law of indices can be used to simplify mathematical expressions involving  arithmetical operation on variables with powers.

a^{m} x a^{n} = a^{(m+n)}

Thus, the given expression can be simplified as follows:

a³b² a²b  = a³ x a² x b² x b^{1}

               = a^{3+2} x b^{2+1}

               = a^{5}b^{3}

Thus,

a³b² a²b  = a^{5}b^{3}

7 0
2 years ago
What is the answer to this problem triangle
Elza [17]

If both triangles ABE = CBD then <C = <A

Hope it helps.

4 0
3 years ago
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A user’s password to access a computer system consists of 3 letters followed by 2 digits. How many different passwords are possi
Vesnalui [34]

Answer:

26*26*26 = 17576 ways to select 3 letters

10*10= 100 ways to select 2 numbers

So then the total number of ways are:

26^3 *10^2 = 1757600 possible ways

Step-by-step explanation:

For this case we assume that we have 26 letters from A to Z and 10 numbers from 0 to 9 .

And we want to calculate the number of possible passwords possible if the password consists of 3 letters followed by 2 digits.

And for this case we can use the multiplication principle of combinatories, since we don't have any restriction about the letters of the numbers we can have repetition of letters or numbers.

For the number of possible letters:

26*26*26 = 17576 ways to select 3 letters

10*10= 100 ways to select 2 numbers

So then the total number of ways are:

26^3 *10^2 = 1757600 possible ways

7 0
3 years ago
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Norma Jean makes $25 per hour. She works 35 hours per week. She gets a commission of 15% on her total sales. How much should Nor
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Answer:

$24166.67

Step-by-step explanation:

$25 per hour and works 35 hours per week

Norma Jean makes 35 * 25  (<em>without sales) = </em>$875

<em> </em>Total commission made by Norma<em> </em>= 4500-875 = $3625

<em>let total number of sales by Norma be x</em>

15% is the same as 15/100

<em>so </em>(15/100) * x =3625 <em> multiplying both sides by 100</em>

15x = 362500<em> making x subject of formula</em>

x = 362500/15

x = 24 166.67

Norma should sell total items worth $24166.67

 

6 0
3 years ago
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