Admission to a local aquarium is $10 for
adults and $7 for children. The aquarium
collected $6,549 from the sale of 783
tickets. Find the number of adult tickets and
children tickets that were sold.

Answer:

a=d+Bc

Step-by-step explanation:

a-bc=d

+bc

a=d+bc

Answer:

see below

Step-by-step explanation:

The length is 12 + 2x  and the width is 10 + 2x

A = l*w

360 = ( 12+2x) ( 10+2x)

FOIL

360 = 120 + 24x+20x + 4x^2

Combine like terms

360 = 4x^2 +44x+120

Subtract 360 from each side

0 = 4x^2 +44x +120-360

0 = 4x^2+ 44x -240

For fun, lets solve

0 = 4( x^2 + 11x - 60)

0 = 4( x+15) ( x-4)

  Using the zero product property

x= -15  x=4

Since we cannot have negative length

x=4 ft

Answer:

[tex]x^2+11x-60=0[/tex]

Step-by-step explanation:

Refer to the drawing.

We know that the area enclosed by the fence is 360 square feet. Remember that the area for a rectangle is given by the following formula:

[tex]A=bh[/tex]

So, let's substitute 360 for A, (12+2x) for b, and (10+2x) for h. This yields:

[tex]360=(12+2x)(10+2x)[/tex]

We can simplify this. On the right, factor out a 2 from the first term and a 2 from the second. This yields:

[tex]360=2(6+x)\cdot2(5+x)[/tex]

Multiply:

[tex]360=4(x+6)(x+5)[/tex]

Divide both sides by 4:

[tex]90=(x+6)(x+5)[/tex]

Multiply on the right:

[tex]90=x^2+6x+5x+30[/tex]

Add on the right:

[tex]90=x^2+11x+30[/tex]

Subtract 90 from both sides. So, our equation is:

[tex]x^2+11x-60=0[/tex]

And we're done!

Answer:

$5,415.49

Step-by-step explanation:

Cost of the boat = $16,500

Decrease in value per year = 13%

Worth of the boat in 8 years = ?

Remaining value = 100% - 13%

= 87%

Worth of the boat in 8 years = cost of the boat × remaining value^8

= $16,500 × 87%^8

= $16,500 × 87/100^8

= $16,500 × 0.87^8

= $16,500 × 0.3282116715437121

= $5,415.49

The worth of the boat after 8 years = $5,415.49

Answer:

50,631

Step-by-step explanation:

Answer:

55,631

Hope it helps!

Answer:

4

Step-by-step explanation:

it would equal 2^7/2^5, which equals 2², which equals 4

Answer:

There are 25 inches in the larger dimension.

Step-by-step explanation:

∵ 1 foot = 12 inches

∵ The small dimension after enlargement is 1 foot and 3 inches

→ Change it to inches only

∴ The small dimension = 1(12) + 3 = 12 + 3

∴ The small dimension = 15 inches after enlarged

∵ The small dimension of the photo before enlarged = 3 inches

→ Divide its length after enlarged by its length before enlarged to

   find the scale of the enlargement

∵ 15 ÷ 3 = 5

∴ The scale of enlarged is 5

→ To find the larger dimension after enlarged multiply its length

   before enlarged by 5

∵ The larger dimension before enlarged = 5 inches

∴ The larger dimension after enlarged = 5 × 5

∴ The larger dimension after enlarged = 25 inches

∴ There are 25 inches in the larger dimension.

Answer:

The equation of the line perpendicular to AC and passing through point B is y = -x + 4

Step-by-step explanation:

We start by finding the slope and equation of line AC

The equation of a straight line can be given as;

y = mx + c

where m is the slope and c is the y-intercept

Mathematically, the slope is given as;

m = (y2-y1)/(x2-x1)

m = (7-2)/(2-(-3)) = 5/5 = 1

So the equation becomes ;

y = x + c

We only need the slope since we are trying to get another line perpendicular to this

If two lines are perpendicular, then the product of the slopes of both lines is equal to -1

This means that m1 * m2 = -1

So this means that the slope of the perpendicular line is -1/1 = -1

Thus, the equation of the line we are finding would be;

y = -x + c

since it passes through line B, we can make a substitution of the coordinates of point B

That would be;

7 = -(-3) + c

7 = 3 + c

c = 7-3

c = 4

So the equation of that line is;

y = -x + 4 or simply y = 4-x

Answer:

The next two terms of the sequence -7, 14, and -28 are 56 and - 112.

Step-by-step explanation:

-7 * -2 = 14

14 * -2 = -28

The sequence is to multiply each number by -2.

-28 * -2 = 56

56 * -2 = -112

Answer: The next two terms of the sequence -7, 14, and -28 are 56 and - 112.

Step-by-step explanation:

Answer:

a. 32. 3

Step-by-step explanation:

4x3=12

1×3=3 (3 min missing from table)

32×3=96 (32 songs miss)

Answer:

The discount is $270

The new price would be $1,530

Step-by-step explanation:

You just multiply 1800 times 0.15 to get how much the discount would be and then if you are trying to find the new price you would subtract the discount or multiply 1800 times 0.85 because 100-15 is 85.

Answer:

because when you do 15*0 it =0 so anything else multiplied by 0 is 0

Step-by-step explanation:

Answer:

31 degrees

Step-by-step explanation:

149 + 149 = 298

360 - 298 = 62

62 / 2 =31

Answer:

61 degrees

Step-by-step explanation:

you know that there is a strait line which is equal to 180. So if you subtract 149 from 180 you get 31 which is the angle included with x. therefore you subtract your total number, which is 92 by 31 and you get 61 degrees

Answer:

40.99 is 10 times more than 4.099

Step-by-step explanation:

Given the values :

4.099 and 40.99

4.099 is 110 of 40.99 : 110 * 40.99 = 4508.9 (false)

4.099 is 1100 of 40.99 : 1100 * 40.99 = 45089 (false)

40.99 is 10 times more than 4.099 : (10 * 4.099) = 40.99 (true)

40.99 is 100 times more than 4.099 : (100 * 4.099) = 409.9 ( false)

4.099 is 10 times more than 40.99 : (10 * 40.99) = 409.9 (false)

Answer:

the answer is c trust me

Step-by-step explanation:

Answer:

-5x-19

Step-by-step explanation:

-(x-3) - 2(-3x-8)

-x+3 - 6x -16

-5x-19

Answer:

You own a car made by Toyota if you own a Prius.

Step-by-step explanation:

If the conditional is p->q then the converse would be q->p. So basically to get the converse switch the order of the statements.

Answer:

t = 3 hours, therefore it cannot be 4 hours

Step-by-step explanation:

Divide the miles traveled by the rate you traveled. This will find the time it took to travel.

180/60 = 3

You drove 3 hours to travel 180 miles, therefore t cannot equal 4.

Answer:

2

Step-by-step explanation:

4/2=2

Answer:

A short-term lease

Step-by-step explanation:

Answer:

A 6 month lease. NOT a yearly lease.

Answer:

you are going to need a protractor

Step-by-step explanation:

Answer:

61.5 in 41 mins 90 in one hour,

Step-by-step explanation:

i multiplied 1 1/2 by 41 and by 60

hope this helps i am very sorry if it is incorrect..

Answer:

A

Step-by-step explanation:

(8x + 4) = (10x-6)

If you solve this you find x = 5, plug that into one and you get 44 degrees

Since the waves are 0.15 apart and made by tapping the water surface twice each second the speed of waves in the puddle is 0.6 m/s

To answer the question, we need to know what a wave is

A wave is a disturbance in space which carries energy from one point to another

The speed of a wave v = fλ where

Since the puddles are 0.15 m are and we know that this is the distance from crest to crest.

Also, the distance from crest to crest is λ/2

So, λ/2 = 0.15

λ = 2 × 0.15 m

= 0.3 m

Also, since the tapping by the water surface is done twice each second, the frequency, f = 2 times/s = 2 Hz

Substituting the values of the variables into the equation, for speed, we have

v = fλ

v =  2 Hz × 0.3 m

v = 0.6 m/s

So, the speed of waves in the puddle is 0.6 m/s

Learn more about speed of wave here:

https://brainly.com/question/4054018

#SPJ1

Answer:

v=1

Step-by-step explanation:

Answer:

V = 1

Hope this helped :)

Answer:

im pretty sure 16 times

Step-by-step explanation:

well if you look at it there are 8 ghost's. they are going to greet each other, soo. B would say 8x7 because 8 ghost's would say boo to 7 more. soo 8x7=56                        

p.s

sorry if wrong

Answer:

Subtraction property

Step-by-step explanation: