5. Find the value of x.<br> A. 55<br> B. 21<br> C. 12<br> D. 22<br> 3x -30

What is the surface area of the square pyramid?

VikaD [51]

Answer:

9 ft

Step-by-step explanation:

3*3 = 9

7 0

3 years ago

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How do you plot 2 2/3 on a number line?

Nastasia [14]

Answer:

find 2 then from 2 and 3 find about 2/3 of the way from 2-3 and plot it there

Step-by-step explanation:

5 0

4 years ago

A local children's theater sold tickets for their evening show at $5 for children and $15 for adults. For their afternoon matine

Oksanka [162]

The solution of the system of linear equations is $x = 50$ , $y = 20$ .

The point of intersection represents the solution found analytically and represents the scenario in which the <em>same</em> quantity of adults and children assisted to both shows.

<h2>Procedure - Determination of the number of people assisting to a movie</h2><h2 /><h3>Construction of the system of equations</h3><h3 />

In this question we need to construct a linear function for the total of people that assisted to the evening show and for the total of people that assisted to the afternoon matinee. The system of equations is described below:

Evening show

$5\cdot x + 15\cdot y = 550$ (1)

Afternoon matinee

$2\cdot x + 5\cdot y = 200$ (2)

Where:

$x$ - Number of children that assisted.
$y$ - Number of adults that assisted.

<h3>Resolution of the system of equations and analysis of the results</h3><h3 />

By algebraic means we find the following result associated with the system of equations:

$x = 50$ , $y = 20$ $\blacksquare$

The graphic representation of this system is described in the image attached below.

The point of intersection represents the solution found analytically and represents the scenario in which the <em>same</em> quantity of adults and children assisted to both shows. $\blacksquare$

To learn more on systems of linear equations, we kindly invite to check this verified question: brainly.com/question/20379472

5 0

3 years ago

A park ranger fears that a harmful fungus might be infecting bluegill panfish in the parks lake. A fisherman offers to help the

Tatiana [17]

Answer:

Hey l need more info to aswer email me and we can get this done ;)

Step-by-step explanation:

5 0

3 years ago

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The population of a community is known to increase at a rate proportional to the number of people present at time t. The initial

xxTIMURxx [149]

Step-by-step explanation:

Let the initial population of a community be P0 and the population after time t is P(t).

If the population of a community is known to increase at a rate proportional to the number of people present at time t, this is expressed as:

$P(t) = P_0e^{kt}$

at t = 5 years, P(t) = 2P0

substitute:

$2P_0 = P_0e^{5k}\\2 = e^{5k}\\ln2 = lne^{5k}\\ln2 = 5k\\k = \frac{ln2}{5}\\k = 0.1386$

If the population is 9,000 after 3 years

at t = 3, P(t) = 9000

a) Substitute into the formula to get P0

$9000 = P_0e^{0.1386\times 3}\\9000 = P_0e^{0.4158}\\9000 = 1.5156P_0\\P_0 = \frac{9000}{1.5156}\\ P_0 = 5938.24$

Hence the initial population is approximately 5938.

b) In order to know how fast the population growing at t = 10, we will substitute t = 10 into the formula as shown:

$P(10) = 5938.24e^{0.1386(10)}\\P(10) = 5938.24e^{1.386}\\P(10) = 5938.24(3.9988)\\P(10) = 23,745.97$

Hence the population of the community after 10 years is approximately 23,746

4 0

4 years ago

5. Find the value of x. A. 55 B. 21 C. 12 D. 22 3x -30