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3 years ago

11

The local music activities coordinator sold 300 tickets to the orchestra concert. Student tickets were $4, and adult tickets wer

e &6. If the total sales were $1,600, how many student tickets were sold?

1 answer:

VARVARA [1.3K]3 years ago

4 0

There were sold 100 student tickets

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Serjik [45]

espero y te ayude, cualquier cosa escríbeme

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2 years ago

Given right triangle ABCABC with altitude \overline{BD} BD drawn to hypotenuse ACAC. If BC=10BC=10 and DC=5,DC=5, what is the le

Helen [10]

Answer: $\overline{AC}=$ 12.5

Step-by-step explanation: The triangle ABC and its altitude $\overline{BD}$ is represented in the figure below.

<u>Altitude</u> is a segment of line that link a vertex and the opposite side, forming a right angle.

So, because of $\overline{BD}$ , now we have two similar triangles, which means that ratios of corresponding sides are equal:

$\frac{\overline{BD}}{\overline{BC}} =\frac{\overline{AD}}{\overline{BD}}$

$\overline{BD}^{2}=\overline{BC}.\overline{AD}$ (1)

This is always true for a right triangle and a altitude drawn to the hypotenuse.

Triangle BDC is also right triangle. So, we can use Pythagorean theorem to determine the missing side.

$\overline{BC}^{2}=\overline{CD}^{2}+\overline{BD}^{2}$

$\overline{BD}^{2}=\overline{BC}^{2}-\overline{CD}^{2}$ (2)

Substituting (2) into (1):

$\overline{BC}^{2}-\overline{CD}^{2}=\overline{BC}.\overline{AD}$

We want to find f, so:

$\overline{AD}=\frac{\overline{BC}^{2}-\overline{CD}^{2}}{\overline{BC}}$

$f=\frac{10^{2}-5^{2}}{10}$

f = 7.5

The length of $\overline{AC}$ is

$\overline{AC}=f+5$

$\overline{AC}=7.5+5$

$\overline{AC}=12.5$

The length of the hypotenuse of triangle ABC is 12.5 units.

5 0

2 years ago

Read 2 more answers

Three people become infected with a virus that spreads quickly. Each day that passes, the number of infected people doubles. How

Natali [406]

Answer: raise 2 to the number of days, and then multiply this value by 3.

Step-by-step explanation:

8 0

2 years ago

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage r

NISA [10]

The <em>exponential</em> function y = 290 · 0.31ˣ reports a decay as its <em>growth</em> rate is less than 1 and greater than 0. Its <em>percentage</em> rate of decrease is equal to 69 %.

<h3>How to determine the behavior of an exponential function</h3>

<em>Exponential</em> functions are <em>trascendental</em> functions, these are, functions that cannot be described <em>algebraically</em>. The <em>simplest</em> form of <em>exponential</em> functions is shown below:

y = a · bˣ (1)

Where:

a - Initial value
b - Growth rate
x - Independent variable.
y - Dependent variable.

Please notice that this kind of <em>exponential</em> function reports a <em>growth</em> for b > 1 and <em>decay</em> for b < 1 and b > 0. According to the statement we have the function y = 290 · 0.31ˣ, then we conclude that the exponential function given reports a <em>decay</em>.

The <em>percentage</em> rate of decrease is determined by the following formula:

100 × (1-0.31) = 100 × 0.69 = 69 %

The <em>percentage</em> rate of decrease related to the <em>exponential</em> function is 69 %.

To learn more on exponential functions: brainly.com/question/11487261

#SPJ1

7 0

1 year ago

The amount of radioactive uranium changes with time. The table below shows the amount of radioactive uranium f(t) left after tim

aniked [119]

Answer:

$f(t) = 100(0.25)^t$

Step-by-step explanation:

The general exponential function is,

$f(t)=ab^t$

The points given in the table are,

$(0,100),(0.5,50),(1,25)$

Putting $(0,100),(1,25)$ in the general equation, we get

$\Rightarrow 100=ab^0$

$\Rightarrow a=100$

And

$\Rightarrow 25=ab^{1}$

$\Rightarrow ab=25$

Putting the value of a,

$\Rightarrow 100b=25$

$\Rightarrow b=0.25$

Now the exponential function becomes,

$f(t) = 100(0.25)^t$

4 0

2 years ago

Read 2 more answers