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3 years ago

There were twelve times more children than adults at the matinee performance of

Mathematics

1 answer:

levacccp [35]3 years ago

5 0

Answer:

Call the number of children and adults, c and a.

Then we have

c = 12a and

c + a = 455

Substituting we have

12a + a = 455

13a = 455

a = 35 adults

c = 12(35) = 420 kids

Step-by-step explanation:

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You are downloading a song. The percent y (in decimal form) of megabytes remaining to download after x seconds is y = -0.1x + 1.

frozen [14]

A is the right answer

4 0

3 years ago

Integrate the following:<br><img src="https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Cint%20%5C%3A%20%20%5Ctan%28x%29%20%20%20%5

Korvikt [17]

Answer:

$\huge \boxed{\red{ \boxed{ - \cos(x) + C}}}$

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>

integration
PEMDAS

<h3>tips and formulas:</h3>

$\tan( \theta) = \dfrac{ \sin( \theta) }{ \cos( \theta) }$
$\sf \displaystyle \int \sin(x) \: dx = - \cos(x) + C$

<h3>let's solve:</h3>

$\sf \: rewrite \: \tan( \theta) \: as \: \dfrac{ \sin( \theta) }{ \cos( \theta) } : \\ = \displaystyle \int \: \frac{ \sin(x) }{ \cos(x) } \cos(x) \: dx \\ = \displaystyle \int \: \frac{ \sin(x) }{ \cancel{\cos(x) }} \: \cancel{ \cos(x)} \: dx \\ = \displaystyle \int \: \sin(x) \: dx$
$\sf \: use \: the \: formula : \\ \sf \displaystyle - \cos(x)$
$\sf add \: constant : \\ - \cos(x) + C$

$\text{And we are done!}$

6 0

2 years ago

Read 2 more answers

Mario buys tickets for either 47 or 57 dollars. He purchases 14 tickets and spends 738 dollars. How many tickets did he purchase

Ivanshal [37]

Answer:

6 tickets were purchased at $47

8 tickets were purchased at $57

Step-by-step explanation:

Let the tickets purchased at $47 be x

Let the tickets purchased at $57 be y

We can form an equation from the question given which will be:

x + y = 14 ....... i

47x + 57y = 738 ........ ii

From equation i

x = 14 - y ........ iii

Substitute iii into ii

47x + 57y = 738

47(14-y) + 57y = 738

658 - 47y + 57y = 738

Collect like terms

-47y + 57y = 738 - 658

10y = 80

y = 80/10

y = 8

8 tickets were purchased at $57

Note that from i

x + y = 14

x + 8 = 14

x = 14 - 8

x = 6

6 tickets were purchased at $47

7 0

2 years ago

Write <br> 25<br> 2<br> as a mixed number. <br> Give your answer in its simplest form.

masha68 [24]

Answer:

12 and 1/2<u>
</u>

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

A falling object travels a distance given by the formula d=3t+5t2, where d is measured in feet and t is measured in seconds. How

Romashka-Z-Leto [24]

Answer:

Step-by-step explanation:

Given the height of a falling object expressed as;

d=3t+5t^2

If the object travel 84 feet, we are to find the time t it takes to travel. On substituting;

84 = 3t+5t^2

3t+5t^2 - 84 = 0

t = -5±√25-4(3)(-84)/2(3)

t = -5±√25+1008/6

t = -5±32.14/6

t = -5+32.14/6

t = 27.14/6

<em>Hence it will take 4.52secs for the object to travel 84feet</em>

8 0

2 years ago