A total of 800 tickets were sold for the school play. They were either adult tickets or student tickets. There were 50 more student tickets sold than adult tickets.
How many adult tickets were sold?

Answer:

complex number Z = a+ib

so when a=2 and b=3 so complex number = 2+3i

Step-by-step explanation:

Distribute:

=2x+(y)(5x)+(y)(−y)+(y)(3)

=2x+5xy+−y2+3y

Answer:

=5xy−y2+2x+3y

The radical form of   [tex]5^{\frac{2}{3}}[/tex] is   [tex]\sqrt[3]{25}[/tex].

If n is a positive integer that is greater than 1 and a is a real number then, n√a = [tex]a^{1/n}[/tex]. where n is called the index, a is called the radicand, and the symbol √ is called the radical.

Here, given value =  [tex]5^{\frac{2}{3}}[/tex]

                              =   [tex](5^2)^{1/3}[/tex]

                             = [tex](25)^{1/3}[/tex]

                             = [tex]\sqrt[3]{25}[/tex]

Thus, the radical form of [tex]5^{\frac{2}{3}}[/tex] is [tex]\sqrt[3]{25}[/tex].

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[tex]~~~~~~11|x+1| < 44\\\\\implies |x+1| < \dfrac{44}{11}\\\\\implies |x+1| < 4\\\\\implies x +1 > -4~~~ \text{and}~~~ x+1 < 4\\\\\implies x > -4-1~~~ \text{and}~~~~ x < 4-1\\\\\implies x > -5~~~~~~~~ \text{and}~~~~~ x < 3\\\\\text{Hence,}~~ -5 < x < 3[/tex]

Answer:

It will be

5/6 which it can be used as 0.83

Answer:

  False

Step-by-step explanation:

The formula for direct variation is ...

  y = kx

where k is the constant of variation.

If -8 is the constant of variation, we should have ...

  1 = -8×8 . . . . false

  1 ≠ -64

The constant of variation is not -8.

__

Additional comment

The constant of variation is 1/8.

Mean=Sum of data/No of data

#a

Mean

#b

Mean:-

#c

Mean

#d

Mean

Answer:

See below ~

Step-by-step explanation:

a)

b)

c)

d)

What do you mean? I think you need to add a graph with the angles for people to be able to answer that question (you can take a screenshot and then use the paperclip button when you are re-writing the question). Hope this helped.

The small flash driver is 1/4 inch long, the medium is 1/2 inch long, and

the large 1 inch long. The combined length of all his flash drives is 11/8 inch.

1 gigabyte = 1000000000 bytes

1 megabyte = 1000000 bytes

1 gigabyte = 1000 megabytes

A small flash driver has a storage capacity of 200Gb, a medium 350GB, and a large 600Gb.

The small flash driver is 1/4 inch long, the medium is 1/2 inch long, and

the large 1 inch long.

Javier owns the same number of flash drives of all three sizes, giving him a total of 11,500Gb of storage capacity.

The combined length of all his flash drives

= 1/4 + 1/2 + 1

= 11/ 8

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Answer:

See below

Step-by-step explanation:

A 2.5 % decrease means  97.5 % remains (.975)

population =  10800 ( .975) ^n     where n = years past 2002

  in 2020    n = 18

    10800 (.975)^18 = 6847  people

I will take 1000 dollars because it is advertised at 1000 dollars

The probability that a point chosen at random on AE is on AB is; 1/5.

The total distance over AE is given as; |-5 -5| = 10.

And the total distance covered over AB is; |-5 -(-3)| = 2.

On this note, the required probability is; 2/10 = 1/5.

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Answer:

Step-by-step explanation:

Analyzing both equations

As the slopes are different, then it can be concluded that the system has only one solution.

Answer:

How many solutions will the system have?

✔ one solution

What is the reason you determined that number of solutions?

✔ The equations graph intersecting lines.

The heaviest 10% of fruits weigh more than 814.79 grams.

The problem setup implies that the weight of this fruit is a random variable when it says a particular fruit's weights are normally distributed.

Define X = Random Variable of the fruit's weight

[tex]X \sim N(mean = 760, standard deviation = 39)[/tex]

We want to find the specific gram value for which 8% of the fruits are heavier

The 92nd percentile of X's normal distribution

[tex]Solve for x: Pr( X < x ) = Normal( 760, 39 ) CDF = .92[/tex]

Standardizing we obtain

[tex]Pr( [X - 760]/39 < [x - 760]/39 ) = Pr( Z < [x - 760]/39 ) = .92,[/tex]

where Z is a standard normal random variable

[tex]Pr( Z < [x - 760]/39 ) = Standard \ Normal \ CDF( [x - 760]/39 )[/tex]

==> Set this equal to .92:

[tex]Standard \ Normal \ CDF( [x - 760]/39 ) = .92[/tex]

Then, from the standard normal table:

[tex][x - 760]/39 = Inverse Standard Normal[/tex]

[tex]CDF( .92 ) = 1.405[/tex]

Use algebra to solve for x:

[tex]x = 39 * 1.405 + 760 = 814.795[/tex]

Therefore the heaviest 10% of fruits weigh more than 814.79 grams.

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Answer:

Step-by-step explanation:

Coordinates of the original down ward parabola are ( - 10, - 7 )

Coordinates of the image upward parabola are ( - 10, 7 )

g(x) = 8( x + 10 )² + 7

For a reflection of parabola across x axis the rule is

Means a turns negative

So

Here a is -8

Turn negative

k is -7

turn negative

New one

Answer:

5/10

Step-by-step explanation:

To solve this problem we find equivalent fractions with the same denominator:

The LCM of 10,100 and 1000 is 1000. So we make all the denominators 1000:

5/100 = 50/1000

5/10 = 500/1000

24/1000 = 24/1000

Now we compare the numerators and see which is the largest number.

24 < 50 < 500

So 5/10 must be the greatest.

Hope this helped and brainliest please

If Pat borrows $12,000 to buy a car. The total cost of the car is: D)$14,340.

First step

Using this formula

Interest=Principal×Rate×Time

Let plug in the formula

Interest=$12,000×3×6.5%

Interest=$2,340

Second step

Total cost=Principal +Interest

Total cost=$12,000+$2,340

Total cost=$14,340

Therefore the correct option is D.

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A function assigns the values. The value of (r+s)(-2) is equal to 9.

A function assigns the value of each element of one set to the other specific element of another set.

Given the function r(x)=3x+5, while s(x)=4x, therefore, the expressions can be written as,

(r-s)(x) =r(x)-s(x) = 3x+5 - 4x = -x+5

(r*s)(x) = r(x)·s(x) = (3x+5)·(4x) = 12x² + 20x

The expression for (r+s)(x) can be written as,

(r+s)(x) = r(x)+s(x) = 3x+5+4x = 7x+5

(r+s)(-2) = 7(-2)+5 = -14+5 = 9

Hence, the value of (r+s)(-2) is equal to 9.

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Answer:

Step-by-step explanation:

14÷2+3²×(7-2) pemdas order

14 : 2 + 3^2 * (7 - 2) =

14 : 2 + 3^2 * 5 =

14 : 2 + 9 * 5 =

7 + 9 * 5 =

7 + 45 =

52

Answer:

y = 4√x

Step-by-step explanation:

Finding the constant of proportionality, k

Equation

Answer:

Y will equal

4√x as the answer

Answer:

1

Step-by-step explanation:

[tex]F =\cos 0^{\circ} = 1[/tex]

Answer:

it is impossible as when we multiply two prime numbers other than 2 we get the number odd but 3128 is an even number

Step-by-step explanation:

Answer:

15 1/8"

Step-by-step explanation:

Adding the values

⇒ 9 3/4" + 2 1/8" + 3 1/4"

⇒ 13 + 2 1/8"

⇒ 15 1/8"

Answer:

numbers are equivalent if O) pie /4

Answer:

Step-by-step explanation:

Comment

The formula that relates edges faces and vertices is  F + V = E + 2

Givens

Edges (E): 37

Faces (F) = 25

Vertices: x

Solution

25 + x = 37 + 2                Subtract 25 from both sides.

25-25 +x= 37 - 25 + 2    Combine

x = 12 + 2

x = 14

Answer: The vertices = 14

Answer: 5

Step-by-step explanation: 5 x 5 is 25 + 8 is 33