Which statement is true

The price of a staff ticket and the price of a student ticket is $8 and $14

Given:

Day 1:

Number of staff tickets sold = 3

Number of students tickets sold = 1

Total revenue day 1 = $38

Day 2:

Number of staff tickets sold = 3

Number of students tickets sold = 2

Total revenue day 2 = $52

let

cost of staff tickets = x

cost of students tickets = y

The equation:

3x + y = 38 (1)

3x + y = 38 (1)3x + 2y = 52 (2)

subtract (1) from (2)

2y - y = 52 - 38

y = 14

substitute y = 14 into (1)

3x + y = 38 (1)

3x + 14 = 38

3x = 38 - 14

3x = 24

x = 24/3

x = 8

Therefore,

cost of staff tickets = x

= $8

cost of students tickets = y

= $14

Read more:

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Answer:

  x = -9, 4

Step-by-step explanation:

The sides are marked congruent, so you have ...

  x^2 +5x = 36

Subtracting 36 puts this in standard form:

  x^2 +5x -36 = 0

To factor this, you need to find factors of -36 that have a sum of 5.

  -36 = (-1)(36) = (-2)(18) = (-3)(12) = (-4)(9) = (-6)(6)

The sums of these factor pairs are 35, 16, 9, 5, 0.

The pair with a sum of 5 is (-4)(9), so the factorization of the quadratic is ...

  (x -4)(x +9) = 0

The solutions are the values of x that make the factors zero:

  x = 4, x = -9

Both of these solutions work in this problem.

Answer:

1. so the express of the shaded region would be

10x*6 which gives 60x the area of the whole thing subtract 2x*4 =8x

so 60x-8x

2.

the perimeter is 6*2 bc two sides so 12

and 10x *2 bc two sides 20

so 20x+12 would be the perimeter

Answer:

428

Step-by-step explanation:

209+5=214

214x2= 428

I think this is the correct answer, if it's not I'm sorry :3

Answer:

y= -3x + 8

Step-by-step explanation:

Put -2x + 6y = -4 into slope-interceltp form

Take the negative reciprocal of the slope.

Use this reciprocal in point-slope form

and you have,

= y= -3x + 8

(EDITED) Steps:

2x+6y = -4

6y=2x - 4

y= 1/3x + 2/3

if two lines are perpendicular,

m1 * m2 + -1

1/3 * m2 = -1

m2 = -3

the line perpendicular to this line is

y = -3x + k ; k ∈ R

the line passes through the point (5,-7)

so,

-7 = -3. (5) +k

-7 = -15 + k

k = 8

∴the equation of a line that passes through the point (5,-7) and is perpendicular to the line -2x+6y=-4 is

y= -3x + 8

Hope this helps, have a nice day/night! :D

Answer:

¡¡ Only

Step-by-step explanation:

-8-2x < - 4

-2x < - 4+8

-2x < 4

x > - 2

Answer: 20

Step-by-step explanation:

17 is closest to 20 :)

(sorry if this is wrong)

if I did it right then it's $32.38.

Answer:

(2 , -3)

Step-by-step explanation:

7x +2y = 8

-5x - 2  = -12

The only method that uses addition/subtraction is elimination

5(7x + 2y = 8)

7(-5x = 10) I am getting x coefficient to be the same, LCF of 7 and 5 is 35)

(multiply it out and now we can get ready to subtract) *I got 10 by adding 2 to -12*

35x + 10y = 40

-35x = 70

10y = -30

y = -3

substitute y into original equation

7x + 2 (-3) = 8

7x - 6 = 8

7x = 14

x = 2

(2 , -3 )

Answer:

Step-by-step explanation:

Add 5x to both sides to isolate -2:

-5x + 5x - 2 = -12 + 5x

-2 = -12 + 5x

Add 12 to both sides to isolate the 5x:

-2 + 12 = -12 + 12 + 5x

10 = 5x

Divide both sides by 5:

[tex]\frac{5x}{5} = 10 \div 5\\[/tex]

x = 2

Substitute this value into the first equation:

7x + 2y = 8

7(2) + 2y = 8

14 + 2y = 8

Subtract 14 from both sides:

14 - 14 + 2y = 8 - 14

2y = -6

Divide both sides by 2:

2y ÷ 2 = -6 ÷ 2

y = -3

So the coordinate set is:

(2, -3)

Hope this helps!

Answer:

It's the 2nd graph

Step-by-step explanation:

Think about it. The large barrel weighs 25 pounds. There are 20 gallons of water. Now look at the graphs 1 more time.

Answer:

just divide both of them

Answer:

525

Step-by-step explanation:

200-25=175. 175*3=525

Answer:

5/2

Step-by-step explanation:

are you the same dude I just answered or are two people taking the same test lol

c = x/y = 5/2

Answer:

[tex]y+6=\frac{2}{5} (x+5).[/tex]

Step-by-step explanation:

1) the common form of the point-slope form is y-y₁=s(x-x₁), where s - the slope, (x₁;y₁) - the point belongs to the required line;

2) if s=2.5; x₁= -5; y₁= -6, then the required equation is:

y+6=2/5(x+5).

Answer:1.75m

Step-by-step explanation:

Answer:

-4,1 -3,0 -2,1 -1,2 0,3 1,4 2,5 3,6 4,7

Step-by-step explanation:

when x increases by one, so does y. The slope of the line is 1 btw.

Answer:

$83 million

Step-by-step explanation:

29% of the charity's donated funds.

$24.1 million = donation

Let x = the total amount of donated funds

29/100 • x = 24.1

x = 24.1 • 100/29

x = 83.10

=83

Hope this helps :)

Answer:

$50.96

Step-by-step explanation:

300(1.04)^4

350.957568.......simplify

350.96.................round to nearest hundredth

350.96-300

50.96

Answer:

Find the slope that passes between the points.

(y₂ - y₁) / (x₂ - x₁)

J(-4, -5)

K(-6, 3)

(3 - (-5)) / (-6 - (-4))

(3 + 5) / (-6 + 4)

8 / -2

-4

Step-by-step explanation:

there

Answer:

Answer 1

Because the alphabet can end,it is not unlimited

Answer:

a)0.085 b)19.6 percent

Step-by-step explanation:

Answer:

a) 0.085

b) 19.6%

Step-by-step explanation:

Answer:

262x3=768 so you need to find which answer equals 786 in addition form.

option a is equal to 624

option b is equal to 786

option c is equal to 624

option d is equal to 2358

your answer would be option b.

Step-by-step explanation:

hope this helps

Answer:

3.5

Step-by-step explanation:

Answer:

it 3.5-9

Step-by-step explanation:

Step-by-step explanation:

sin45°=x/4√2

=> 1/√2 = x/4√2

=> x= 4√2/√2

=>x= 4.

hope this helps you.

The question is an illustration of right-angled triangles

The value of x is (b) 4

To calculate the value of x, we make use of the following sine ratio

[tex]\sin(45) = \frac{x}{4\sqrt 2}[/tex]

Multiply both sides of the equation by [tex]4\sqrt 2[/tex], to make x the subject of the formula

[tex]x = \sin(45) \times 4\sqrt 2[/tex]

Evaluate sin(45)

[tex]x = \frac{1}{\sqrt 2} \times 4\sqrt 2[/tex]

Cancel out the common factors

[tex]x = 4[/tex]

Hence, the value of x is (b) 4

Read more about right-angled triangles at:

https://brainly.com/question/16195823

Answer:

1 I think can you make sure?

Answer:

x > 15

Step-by-step explanation:

first step is to subtract 9 from each side to get:

x/3 > 5

now multiply each side by 3 to get:

x > 15

Answer:

b

Step-by-step explanation:

Answer:

y = 6;  x = 12

Step-by-step explanation:

If the triangles are congruent , then their sides are corresponding.

AB ≅DE                                          DE≅ AC

7 = 2y - 5                                       3x - 13 = 11 + x

7 + 5 = 2y                                       3x - x -13 = 11

12 = 2y                                             2x - 13 = 11

6 = y                                                   2x = 11 + 13

                                                            2x = 24

                                                               x = 12

AB=DE

[tex]\\ \sf\longmapsto 2y-5=7[/tex]

[tex]\\ \sf\longmapsto 2y=12[/tex]

[tex]\\ \sf\longmapsto y=6[/tex]

[tex]\\ \sf\longmapsto 11+x=3x-13[/tex]

[tex]\\ \sf\longmapsto 2x=24[/tex]

[tex]\\ \sf\longmapsto x=12[/tex]

Diagram attached

Answer:

c = 48

Step-by-step explanation:

Given c varies directly as a and inversely as b then the equation relating them is

c = [tex]\frac{ka}{b}[/tex] ← k is the constant of variation

To find k use the condition c = 15 when a = 18 and b = 40 , then

15 = [tex]\frac{18k}{40}[/tex] ( multiply both sides by 40 )

600 = 18k ( divide both sides by 18 )

[tex]\frac{600}{18}[/tex] = k

[tex]\frac{100}{3}[/tex] = k

c = [tex]\frac{100a}{3b}[/tex] ← equation of variation

When a = 36 and b = 25 , then

c = [tex]\frac{100(36)}{3(25)}[/tex] = [tex]\frac{3600}{75}[/tex] = 48