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babunello [35]
2 years ago
6

а Ava and her children went into a movie theater and she bought $48 worth of drinks and candies. Each drink costs $4 and each ca

ndy costs $3. She bought 2 more candies than drinks. Graphically solve a system of equations in order to determine the number of drinks, x, and the number of candies, y, that Ava bought.​
Mathematics
1 answer:
adoni [48]2 years ago
6 0

Answer:

x = 6

y = 8

Explanation and graph is given in picture

I hope it helps.

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Suppose a population is growing by 8% each year. How many years will it take the population to double?
Doss [256]

ANSWER

\text{9 years}

EXPLANATION

We want to find the number of years that it will take the population to double.

To do this, we have to apply the exponential growth function:

y=a(1+r)^t

where y = final value

a = initial value

r = rate of growth

t = time (in years)

For the population to double, it means that the final value must be 2 times the initial value:

y=2a

Substitute the given values into the function above:

\begin{gathered} 2a=a(1+\frac{8}{100})^t \\ \frac{2a}{a}=(1+0.08)^t=1.08^t \\ 2=1.08^t \end{gathered}

To solve further, convert the function from an exponential function to a logarithmic function as follows:

\log _{1.08}2=t

Solve for t:

\begin{gathered} \frac{\log _{10}2}{\log _{10}1.08}=t \\ \Rightarrow t=9\text{ years} \end{gathered}

It will take 9 years for the population to double.

4 0
1 year ago
Which graph represents the solution to the given system? <br> y = -2x + 5 and y = 3x - 2
sasho [114]
To find the X value of the solution, you would set the two equations equal to each other bu substitution:
if <span>y = -2x + 5 and y = 3x - 2, 
</span>-2x + 5 must be equal to 3x - 2
solve for x... you should get 7/5

then, plug that into one of the original equations as X and you would get the Y value, 11/5

This point, (7/5,11/5) is where the two lines cross
3 0
3 years ago
Read 2 more answers
Which system of inequalities represents the graph?
vfiekz [6]
Yes the first one is the correct answer in this form of a graph
4 0
3 years ago
Which situation is best represented by the following equation?3x+x=440
lys-0071 [83]

The Given equation is , 3 x + x = 440,

Let speed of train A is x Km/hour and Speed of train B which is a Bullet train which starts from same station but from different platform is 3 times the speed of train A.

And Sum of their Velocities is i.e Velocity of train A and  Velocity of train B is 440 Km/hour.

3 0
3 years ago
2. Find the value of x in the triangle. Round your answer to the nearest tenth of a degree. Show your work.
Dennis_Churaev [7]
We need a picture or dimensions

6 0
3 years ago
Read 2 more answers
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