You're selling tickets to a school play priced at $5 for students, $10 for parents, and $20 for general admission. The total sales are $2,500, you sell twice as many parent tickets as student tickets, and you sell 10 more student tickets than general admission. How many of each ticket did you sell?

Answer:

Step-by-step explanation:

Let s be number of students and a be number of adults.

a + s = 64 -> 5a + 5s = 320

8a + 5s = 461

(8a + 5s) - (5a + 5s) = 461 - 320

3a = 141

a = 47

a + s = 64 -> s + 47 = 64 -> s = 17

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Answer:

a + s = 64 -> 5a + 5s = 320

8a + 5s = 461

(8a + 5s) - (5a + 5s) = 461 - 320

3a = 141

a = 47

a + s = 64 -> s + 47 = 64 -> s = 17

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Answer:

[tex]f(1.2)=1.221[/tex]

Step-by-step explanation:

From the question we are told that

[tex]dy/dx = xy[/tex]

Initial condition[tex]f(1) = 1.[/tex]

[tex]x = 1[/tex]

[tex]Step\ Size\ of\ 0.1[/tex]

Generally equation for [tex]y_1[/tex] is given mathematically as

[tex]f_0=F(1,1)=1[/tex]

Therefore

[tex]y_1=y_0+hf_0[/tex]

[tex]y_1=y_0+(0.1)(1)[/tex]

[tex]y_1=1.1[/tex]

Generally the approximation of the solution is mathematically given by

[tex]x=1+h\\x=1+0.1\\x=1.1[/tex]

[tex]y=1.1[/tex]

Generally the [tex]f_1[/tex] is mathematically given by

[tex]F_1=f(1.1,1.1)\\F_1=1.21[/tex]

Generally the [tex]y_2[/tex] is mathematically given by

[tex]y_2=y_1+hf_1\\y_2=1.1+0.121\\y_2=1.221[/tex]

Generally the approximation to the solution

at

[tex]y_2=1.221[/tex]

[tex]x_2=1.1+0.1\\x_2=1.2[/tex]

Therefore

[tex]f(1.2)=1.221[/tex]

Answer:

y=22-1

Step-by-step explanation:

ewaan di ako sure

-⅔ (6x + 9) = 18

Apply distributive property. Multipy -⅔ to 6x and 9.

-4x - 6 = 18

Add 6 to both sides so -4x can be alone.

-4x - 6 + 6 = 18 + 6

-4x = 24

To get x alone, divide both sides by -4.

-4/-4x = 24/-4

x = -6

x = -6 is your answer. I hope this helps! Let me know if you need more help or if I got something wrong.

Answer:

2) n > 16

Step-by-step explanation:

Usually, a statement is written as:

If P, then Q

Where P = hypothesis

Q  =  conclusion.

And our statement is:

if 2n - 7 > 25, then n > 16

(We can easily solve the inequality to get the thing in the right:

2n - 7 > 25

2n > 25 + 7 = 32

n > 32/2 = 16

n > 16 )

then:

P = (2n - 7)

Q = n > 16

Then the conclusion is: n > 16

The correct option is 2) n > 16

Answer:

a = 10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

8 = a - 2

Step 2: Solve for a

Step 3: Check

Plug in a into the original equation to verify it's a solution.

Here we see that 8 does indeed equal 8.

∴ a = 10 is the solution to the equation.

Answer:

y = 2x-2

Step-by-step explanation:

Generally, we have the equation of a straight line as;

y = mx + b

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

For the second equation, we can see that the y-intercept value is -2

So using the slope 2, we write the complete equation as;

y = 2x - 2

Answer:

the answer is C <3

Step-by-step explanation:

Answer:

The diameter is 40

Step-by-step explanation:

In this Problem you can use the Cross Multiplication.

If in 15 seconds the nurse counted 18 beats, so in 60 seconds she will count x beats.

15 seconds = 18 beats

60 seconds = x beats

You use the cross multiplication and multiply 60 by 18 and 15 by x, so you get:

15x = 60 * 18

15x = 1080

Then, you divide 15x and 1080 by 15 each, so you get:

x = 72

So, the Nurse counted 72 beats in 60 seconds

Yourwelcome :)

Answer: 72 bmp

Step-by-step explanation: multiply by 4 because 15 goes into 60 4 times

Answer:

u = 4

Step-by-step explanation:

2u = 8

u= 8/2

u= 4

therefore u = 4

Answer:

f = 10

Step-by-step explanation:

find out the constant of variation 'k':  F = k/[tex]\sqrt{g}[/tex]

8 = k/ [tex]\sqrt{25}[/tex]

k = 8 · 5

k = 40

f = 40/[tex]\sqrt{16}[/tex]

f = 40/4

f = 10

Answer:

-1

Step-by-step explanation:

(-1)^1001

= (-1)^1000 * (-1)^1

Since -1 raise to the power of an even number gives a positive value, then;

(-1)^1000 = 1

(-1)^1000 * (-1)^1 = 1 * -1

(-1)^1000 * (-1)^1 = -1

Hence (-1)^1001 = -1

Answer:

54 ft

Step-by-step explanation:

Length of the rectangular flowerbed = 15 ft

Width of the rectangular flowerbed = 4/5 of the length

= 4/5 × 15

= (4*15)/5

= 60/5

= 12

Width of the rectangular flowerbed = 12 ft

How many feet of fencing should she buy

Perimeter of the rectangular flowerbed = 2(length + width)

= 2(15ft + 12ft)

= 2(27ft)

= 54 ft

Perimeter of the rectangular flowerbed = 54 ft

She should buy 54 ft of fencing

Answer:

w = 16.5

Step-by-step explanation:

w - 13 = 3.5

   +13   +13

w   =    16.5

Answer:

i think thats an obtuse triangle

Step-by-step explanation:

Answer: its an obtuse triangle

Step-by-step explanation:

Answer:

Drew is incorrect

Step-by-step explanation:

Drew is incorrect

Let the number be x such that if the product of the number and four is 1.08 then

x * 4 = 1.08

Divide both sides by 4

x = 1.08/4

= 0.27

Drew is incorrect because the result (1.08) has 2 decimal places and not once as deduced by him hence the number of digits before the decimal point for the numbers being multiplied must be 2.

Answer:

$3

Step-by-step explanation:

Answer: t= 75m+210

Step-by-step explanation:

Linear equation: y= nx+c

, where n =rate of change of y with respect to x, c= initial value of y

Let m= number of  additional months the company receives objects .

t =total number of objects in the company.

Given: Number of objects received per month = 75. (Rate of change of t w.r.t. m)

Current number of objects = 210   (Initial value)

Then, t= 75m+210

Hence, the required algebraic equation: t= 75m+210

Answer:

3.6=30%    3.6+12=15.6       $15.6

Step-by-step explanation:

I hope this helps! Have a fantastic fri-yay! May I have brainliest!

Answer:

1 : 0.75

Step-by-step explanation:

Given the ratio

20 : 15 ← divide both parts by 20

[tex]\frac{20}{20}[/tex] : [tex]\frac{15}{20}[/tex]

= 1 : 0.75

Answer:

n=0.75

Step-by-step explanation:

Answer:

57.5

Step-by-step explanation:

That's the answer I think because very limited information so I just divide 115 by 2

Answer:

{55,60}

Step-by-step explanation:

{x,y} = {55,60}

Answer:

t<29

Step-by-step explanation:

t=temp