Ask question

Ask question

All categories

3 years ago

15

At a school carnival, 51 out of 68 tickets sold were early-admission tickets. What percentage of the tickets were early-admissio

n tickets?

1 answer:

Anarel [89]3 years ago

5 0

51/68x100= 75%

early admissions = 75%

You might be interested in

An electric current, I, in amps, is given by I=cos(wt)+√8sin(wt), where w≠0 is a constant. What are the maximum and minimum valu

exis [7]

Take the derivative with respect to t
$- w \sin(wt) + \sqrt{8} w cos(wt)$
the maximum and minimum values occur when the tangent line is zero so we set the derivative to zero
$0 = -w \sin(wt) + \sqrt{8} w cos(wt)$
divide by w
$0 =- \sin(wt) + \sqrt{8} cos(wt)$
we add sin(wt) to both sides

$\sin(wt)= \sqrt{8} cos(wt)$
divide both sides by cos(wt)
$\frac{sin(wt)}{cos(wt)}= \sqrt{8} \\ \\ arctan(tan(wt))=arctan( \sqrt{8} ) \\ \\ wt=arctan(2 \sqrt{2)}$ OR $\\$ $wt=arctan( { \frac{1}{ \sqrt{2} } )$
(wt)=2(n*pi-arctan(2^0.5))
(wt)=2(n*pi+arctan(2^-0.5))
where n is an integer
the absolute max and min will be

$I=cos(2n \pi -2arctan( \sqrt{2} ))$
since 2npi is just the period of cos
$cos(2arctan( \sqrt{2} ))= \frac{-1}{3} 
$
substituting our second soultion we get
$I=cos(2n \pi +2arctan( \frac{1}{ \sqrt{2} } ))$
since 2npi is the period
$I=cos(2arctan( \frac{1}{ \sqrt{2}} ))= \frac{1}{3}$
so the maximum value = $\frac{1}{3}$
minimum value = $- \frac{1}{3}$

4 0

3 years ago

8. Lesly took a test with 30 questions. The ratio of correct answers to incorrect answers

Firlakuza [10]

Lesly got 14 answers correctly.

Let the correct answers be C.

Let the incorrect answers be I.

<u>Given the following data:</u>

Total number of questions = 30 questions.

Ratio of C to I = 7 : 8

C to I = 7 + 8 = 15

To find the number of answers she got correctly;

$C = \frac{7}{15}$ × $30$

$C = 7$ × $2$

<em>Correct answers, C </em><em>= </em><em>14 answers</em>

Therefore, Lesly got 14 answers correctly.

Read more: brainly.com/question/24613908

4 0

3 years ago

How do you change 36/10 to a decimal?

Elina [12.6K]

Divide 36 by 10
36/10=3.6

4 0

3 years ago

Read 2 more answers

What is 4 1/5+3 1/10<br><br> a. 7 2/15<br> b. 7 3/10<br> c. 7 1/5<br> d. 7 1/50

Black_prince [1.1K]

7 1/5th is the anwser but thats easy your just being lazy i think

7 0

4 years ago

a rectangular block is such that the sides of its base are of the length x cm and 3x cm. The sum of all the lengths of all its e

Xelga [282]

Answer:

15x^2 - 12x^3

Step-by-step explanation:

A rectangular block has 3 parts that play into its volume. length, width and height. The question gives us length and width in the form of x and 3x, so height is what's missing.

It gives us a bit more information saying the sum of its edges is 20. We also have to ask how many lengths, widths and heights are there. That may be a bit hard to understand, but is you are looking at a block I could ask how many edges are vertical, just going up and down. These would be the heights. There are 4 total, and this goes the same for length and width, so 4*length + 4*width and 4*height = 20.

Taking that and plugging in x for length and 3x for width (or you could do it the other way around, it doesn't matter, you get:

4*x + 4*3x + 4*height = 20

4x + 12x + 4h = 20

16x + 4h = 20

4h = 20 - 16x

h = 5 - 4x

Now we have h in terms of x, which lets us easily find the volume just knowing x. To find the volume of a rectangular block you just multiply the length, width and height.

x*3x*(5-4x)

3x^2(5-4x)

15x^2 - 12x^3

Question doesn't give a specific value for x at all so you should be done there. Any number you plug in for x should get you the right answer

5 0

3 years ago