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Luda [366]
3 years ago
12

A pack of 12 sodas cost 5.04$ what is the unit rate of each soda

Mathematics
1 answer:
Dovator [93]3 years ago
3 0

For this case we propose the following expression:

x: Variable representing the unit rate of each soda

So:x = \frac {5.04} {12} \frac {dollar} {soda}\\x = 0.42 \frac {dollar} {soda}

Thus, 0.42 dollars is paid for each soda.

Answer:

the unit rate of each soda is 0.42 \frac {dolar} {soda}

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Luke puts $35 in his savings account every month. Use a calculator to find how much money he will save in a year.
irina1246 [14]
£35 X 12(months) = £420 per year he saves.
4 0
3 years ago
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The principle is 300 and the rate is 3%and 4 years is the time what is the interest earned and the new balance
Dimas [21]
\bf ~~~~~~ \textit{Simple Interest Earned}\\\\
I = Prt\qquad 
\begin{cases}
I=\textit{interest earned}\\
P=\textit{original amount deposited}\to& \$300\\
r=rate\to 3\%\to \frac{3}{100}\to &0.03\\
t=years\to &4
\end{cases}
\\\\\\ I=300\cdot 0.03\cdot 4

the new balance is 300 + I.
5 0
3 years ago
7.1-x=4.9? Need help​
Novosadov [1.4K]

Answer:

Take 7.1-4.9=x

Step-by-step explanation:

6 0
3 years ago
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A greeting card company can sell cards for $2.75 each, so the revenue can be calculated using the formula 2.75 Rx . The company’
LuckyWell [14K]
Given that the revenue equation is R(x)=2.75x and the cost equation is C(x)=0.35x+12,000



Part A:

At break-even the cost is equal to the revenue.

Thus, the algebraic equation needed to determine when the company will break even is given by

R(x)=C(x) \\  \\ \Rightarrow2.75x=0.35x+12,000



Part B:

The solution to part A is given as follows:

2.4x=12,000 \\ \\ \Rightarrow x=5,000



Part C:

<span>The algebraic inequality needed to indicate that the revenue is greater than the cost is given by

R(x)\ \textgreater \ C(x) \\ \\ \Rightarrow2.75x\ \textgreater \ 0.35x+12,000



Part D:

</span>The solution to part C is given as follows:

2.4x>12,000 \\ \\ \Rightarrow x>5,000



Part E:

The answer in part D tells us that the the company will make a profit when the produce more than 5000 cards.
3 0
3 years ago
Select the correct location on the table. Consider the following equations. f(x)= (x^2+3x+2)/(x+8) and g(x)= (x-1)/x. Approximat
zhannawk [14.2K]

Answer:

  (b)  -61/16 | -15/4

Step-by-step explanation:

We assume you're using a binary search successive approximation technique that starts with an interval and cuts it in half with each iteration. The final approximation of the solution to the equation will be the midpoint of the interval after it has been cut in half 3 times.

The graph shows the intersection point of the curves lies between x = -4 and x = -3.

If we define h(x) = f(x) -g(x), then our first iteration will evaluate h(-7/2) and determine which end of the interval gets replaced. The attachment shows us that the sign of h(-7/2) is the same as the sign of h(-3), so -7/2 replaces -3 and the interval after the first iteration is [-4, -7/2].

The midpoint of this interval is -15/4. The sign of h(-15/4) is the same as the sign of h(-7/2), so the interval after the second iteration is [-4, -15/4].

The midpoint of this interval is -31/8. The sign of h(-31/8) is the same as the sign of h(-4), so the interval containing the solution after the third iteration is [-31/8, -15/4]. The approximate solution value after 3 iterations is (-31/8 -15/4)/2 = -61/16.

_____

You can read more at ...

brainly.com/question/26463478

4 0
2 years ago
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