850 tickets were sold for a game for a total of $1,487.50. If adult tickets sold for $2.00 and children's tickets sold
for $1.50, how many of each kind of ticket were sold?
They sold_____
adult tickets and_____
children's tickets.

Answer:

y = 4x-7

Step-by-step explanation:

slope = difference of y-values / difference of x-values

= (9-5) / (4-3)

= 4/1

select a point to use in the slope-intercept form of a line:  y = mx + b where 'm' is the slope and 'b' is the y-intercept

(3,5)

5 = 4(3) + b

5 = 12 + b

-7 = b

slope is 4 and y-intercept is -7

y = 4x-7

The the product of the initial amplitude and the exponential decay rate

of raised to the power of the time taken give the amplitude of 0.1 mm.

Correct option:

The given parameters are;

The initial amplitude = 0.75 mm

The decay rate, i = 25%

Required:

The time it takes the guitar to decay to 0.1 mm.

Solution:

The series of the sizes of the amplitude that has constant decay uses an

exponential decay formula.

When the amplitude is 0.1 mm, we have;

y = a·rⁿ

Where;

r = 1 - i

a = 0.75

n = The time taken

Which gives;

r = 1 - 0.25 = 0.75

y = 0.1 = 0.75 × 0.75ⁿ

[tex]\dfrac{0.1}{0.75} = \mathbf{0.75^{n}}[/tex]

n = 7.0

Learn more about exponential growth and decay formula here:

https://brainly.com/question/2193820

Answer:

3/8  less than 1/2 is correct

Step-by-step explanation:

Answer:

the slope = -2/7

the y-intercept = 8/7

Step-by-step explanation:

Rewrite the equation to a slope-intercept form:

7y = 8 - 2x

7y = -2x + 8

[tex]y=-\frac{2}{7}x+\frac{8}{7}[/tex]

so the slope = -2/7

the y-intercept = 8/7

Answer:

b = 4.5 mm

Step-by-step explanation:

using Pythagoras theorem:

a² + b² = c²

4² + b² = 6²

b² = 6² - 4²

b² = 36 - 16

b² = 20

b = √20

b = 4.5

Pythagoras theorem:

a² + b² = c²

4² + b² = 6²

b² = 6² - 4²

b² = 36 - 16

b² = 20

b = [tex] \sqrt{20}[/tex]

b = 4.5

Answer:

x - 10 = -6

Step-by-step explanation:

9x + 12 = 48

Subtract 12 from both sides. 

9x + 12 = 48

      - 12  - 12

+ 12 and - 12 cancel out. 48 - 12 is 36. 

9x = 36

Divide 9 from both sides.

9x = 36

÷ 9  ÷ 9

9 ÷ 9 cancels out. x is left. 36 ÷ 9 is 4.

x = 4

Knowing x = 4, solve the equation.

x - 10 = ?

Plug in 4.

4 - 10 = -6

4 - 10 equals -6. This is your answer.

Hope this helped!

Answer:

i)

9x + 12 = 48

or,9x=48-12

or,9x=36

or,x=36/9

or,x=4

Thus,the value of x is 4.

ii)

x-10

=4-10(Putting x as 4)

=-6

Answer:

false

Step-by-step explanation:

Answer:

False is the one you would choose.

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

By the Central Limit Theorem, as the sample size [tex]n[/tex] gets larger, the smaller the standard deviation [tex]\sigma[/tex] of the sampling distribution gets.

Answer:

it's a hard one

Step-by-step explanation:

I don't know either

Answer:

10 three-point questions and 14 five-point questions.

Step-by-step explanation:

x+y = 24

3x+5y = 100

We can solve this system of equations using elimination. In order to do this, let's first multiply the first equation by 3...

3x+3y=72

3x+5y=100

Now, subtract the first equation from the second equation...

2y=28

Divide both sides by 2

y=14

Plug this back into any of the equations to solve for x...

x+14=24

x=10

There were 10 three-point questions and 14 five-point questions

Answer:

Personality impacts how we prefer to communicate with people, as well as how we ourselves respond to information. The more we understand our own communication styles and those of the people we work with, the more effective we can be as leaders, teams, and colleagues

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

the area of a triangle is 1/2 base times hight (a=1/2bh)

Answer:

20 cm squared

Step-by-step explanation:

The formula is Area equals (base times height) divided by 2, so (5*8)/2=20

Answer:

x < 21

Step-by-step explanation:

Let x = the number of grapes James has left

x + 4 < 25

x < 21

Answer:

Combine like terms

x^2 + 2x + 3 + 3x^2 + x + 1

4x^2 + 3x + 4

Answer:

4.17% (nearest hundredth)

Step-by-step explanation:

percent change = [ (difference between initial value and final value) ÷ initial value] x 100

⇒ percent change = [ (50 - 48) ÷ 48 ] x 100 = 4.17% (nearest hundredth)

Answer:

it is 200

Step-by-step explanation:

2 take 2 add 20 add a sec 0

Answer:

Step-by-step explanation:

Let p and w represent the speeds of the plane and the wind. The relation between time, speed, and distance is ...

  speed = distance/time

  p +w = (2565 mi)/(4.5 h) = 570 mi/h

  p -w = (2205 mi)/(4.5 h) = 490 mi/h

Adding these speeds, we get ...

  (p +w) +(p -w) = (570) +(490) mi/h

  2p = 1060 mi/h

  p = 530 mi/h

Then the speed of the wind is ...

  w = 570 mi/h -p = (570 -530) mi/h = 40 mi/h

The plane's speed is 530 mi/h; the wind speed is 40 mi/h.

Answer:

3.75

Step-by-step explanation:

5 × 3/4

= 15/4

= 3.75

Hope it helps ⚜

Answer:

3x - 10 = 2

3x = 2 + 10

3x = 12

÷3 = ÷3

x = 4

Answer:

The answer is 4

Step-by-step explanation:

3*4=12

12-10=2

Answer:

  200

Step-by-step explanation:

If 'a' is the total attendance, the given relation is ...

  70 = 0.35a . . . . . . 70 is 35% of attendance

Dividing by the coefficient of 'a', we find the attendance was ...

  70/0.35 = a = 200

200 people were at the concert.

Answer:

1) Combine like terms

2) [tex]\sqrt[3]{x} =3[/tex]

3) cube both sides of the equation

4) [tex]4\sqrt[3]{27} +8\sqrt[3]{27}=36[/tex]

5) 4(3) + 8(3) = 36

Step-by-step explanation:

1) Combine like terms

2) [tex]\sqrt[3]{x} =3[/tex]

3) cube both sides of the equation

4) [tex]4\sqrt[3]{27} +8\sqrt[3]{27}=36[/tex]

5) 4(3) + 8(3) = 36

Answer:

[tex]y=(750)1.05^t[/tex], where [tex]t[/tex] is the time (in years) from investment

Or  [tex]y=(750)1.05^{t-5}[/tex], where [tex]t[/tex] is the age of James

Step-by-step explanation:

exponential model:  [tex]y=ab^t[/tex],  where [tex]t[/tex] is the time (in years) from investment

when t = 0, y = 750

[tex]\implies 750=ab^0[/tex]

As [tex]b^0=1[/tex]

[tex]\implies 750=a[/tex]

Therefore, [tex]y=750b^t[/tex]

If the savings increase by 5% each year, then b = 105%.

105% = 105/100 = 1.05

Therefore, b = 1.05

So final model: [tex]y=(750)1.05^t[/tex], where [tex]t[/tex] is the time (in years) from investment

Or, we can write this as [tex]y=(750)1.05^{t-5}[/tex], where [tex]t[/tex] is the age of James

Step-by-step explanation:

4. 0.9

5. 0.4

6. 0.21

hope this helps you.

Step-by-step explanation:

This is the way to do this I hope it will help you!!

Answer:

5 and 5 1/2 appear the most option. None of Ani's friends have 6 1/2 shoes.

Step-by-step explanation:

5 and 5 1/2 have the most dots, which means the most friends have those shoes. There are no dots above 6 1/2, meaning no friends have that shoe size.

The solution is, 5 and 5 1/2 appear the most option. None of Ani's friends have 6 1/2 shoes.

Data is a collection of discrete values that convey information, describing quantity, quality, fact, statistics, other basic units of meaning, or simply sequences of symbols that may be further interpreted. A datum is an individual value in a collection of data .

here, we have,

from the given data, we get,

the given information, gives,

5 and 5 1/2 have the most dots, which means the most friends have those shoes.

There are no dots above 6 1/2, meaning no friends have that shoe size.

Hence,  5 and 5 1/2 appear the most option. None of Ani's friends have 6 1/2 shoes.

To learn more on data click:

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#SPJ2

Answer:

72

Step-by-step explanation:

156 ÷ 13 × 6 = 72

Hope this helps!

Good luck!

Answer:

156÷13=12(the number of 13s'in 156)

there are 12

12*6=72

seventy two students live on campus

Answer:

b = (A - 3C)/2

Step-by-step explanation:

2b = A - 3C

b = (A - 3C)/2