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3 years ago

9

Tickets for a play cost $11 for an adult and $80 for a child on Saturday night 300 tickets were sold the amount of money collect

ed for the tickets was 3000 how many adult instant tickets were sold

1 answer:

Ratling [72]3 years ago

8 0

Answer:

120 adults tickets were sold

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3x + 2y = 14<br> x + 2y = 6

patriot [66]

Answer:

Step-by-step explanation:

3x+2y=14

x+2y=6

2x=8

x=4

Substitute 4 x in equation 1

3(4)+2y=14

y=1

5 0

3 years ago

Read 2 more answers

True or false. Tan^2 x = 1 - cos2x/ 1 + cos 2x

koban [17]

<u>ANSWER</u>

True

<u>EXPLANATION</u>

The given trigonometric equation is

$\tan^{2} (x) = \frac{1 - \cos(2x) }{1 + \cos(2x) }$

Recall the double angle identity:

$\cos(2x) = \cos^{2} x - \sin^{2}x$

We apply this identity to obtain:

$\tan^{2} (x) = \frac{1 - (\cos^{2} x - \sin^{2}x) }{1 + (\cos^{2} x - \sin^{2}x) }$

We maintain the LHS and simplify the RHS to see whether they are equal.

Expand the parenthesis

$\tan^{2} (x) = \frac{1 - \cos^{2} x + \sin^{2}x }{1 + \cos^{2} x - \sin^{2}x}$

$\implies\tan^{2} (x) = \frac{1 - \cos^{2} x + \sin^{2}x }{1 - \sin^{2}x + \cos^{2} x }$

Recall that:

$1 - \sin^{2}x = \cos^{2}x$

$1 - \cos^{2}x = \sin^{2}x$

We apply these identities to get:

$\implies\tan^{2} (x) = \frac{\sin^{2}x + \sin^{2}x }{\cos^{2} x + \cos^{2} x }$

$\implies\tan^{2} (x) = \frac{2\sin^{2}x }{ 2\cos^{2} x }$

$\implies\tan^{2} (x) = \frac{\sin^{2}x }{ \cos^{2} x }$

$\implies \tan^{2} (x) =( \frac{\sin x }{ \cos x })^{2}$

Also

$\frac{\sin x }{ \cos x } = \tan(x)$

$\implies \tan^{2} (x) =( \tan x )^{2}$

$\implies \tan^{2} (x) =\tan^{2} (x)$

Therefore the correct answer is True

5 0

4 years ago

Celine is 28, celines age is 4 more than 1/3 of drakes age. How old is drake?

ch4aika [34]

Answer:

Step-by-step explanation:

C = 28

C = 4 + 1/3 D

This means that

28 = 4 + 1/3 D

Subtract 4 from both sides.

24 = 1/3 D

Then to get rid of the fraction, multiply both sides by 3

72 = D

Therefore Drake is 72.

8 0

3 years ago

Six out of 10 kids prefer swimming to hiking. How many kids out of 100 prefer swimming?

eimsori [14]

6/10 = 0.6

0.6 × 100 = 60

Answer = B.60

~Aamira~

~Hope this helped~

8 0

3 years ago

Read 2 more answers

The volume of a rectangular box is 2x(2x + 5)(2x – 3). (Drawing is not to scale.)

Anarel [89]

Answer:

Option B. The volume is the product of the area of the base, 2x(2x + 5), and the height, 2x – 3

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

we know that

The volume of a rectangular prism is equal to

$V=BH$

where

B is the area of the base of the prism

H is the height of the prism

In this problem we have

The area of the base B is equal to

$B=2x(2x+5)\ units^2$

The height H is equal to

$H=2x-3\ units$

therefore

The volume is equal to

$V=2x(2x+5)(3x-3)\ units^3$

The volume is the product of the area of the base, 2x(2x + 5), and the height, 2x – 3

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3 years ago