Daryl bought 10 adult tickets and 10 children's tickets to a zombie movie for $110. Rick bought 6 adult and 5 children tickets for $63 to the same movie. How much money does each type of ticket cost

Answer:

I would say around 41.3% I'm sorry if I am wrong :/

Step-by-step explanation:

62/150 around 0.413

Answer:

The following statements are true

(2)(6) > (–2)(2)

6/-2 < -2/-2

6/2 > -2/2

Step-by-step explanation:

Missing options

(2)(6) > (–2)(2)

6/2 < -2/2  

(–2)(6) > (–2)(–2)

6/-2 < -2/-2

(2)(6) < (–2)(2)

6/2 > -2/2

Before we know which statement is true, you must understand that when both sides of an inequality is multiplies or divided by a negative number, the inequality sign reverses.

For the first option:

6 > -2

Multiplying both sides by 2 will not reverse the inequality sign

Hence 2(6)>2(-2) is true since the inequality was retained.

For the second option:

6/2 < -2/2  

Dividing both sides by 2 will not reverse the inequality sign

Hence 6/2>2/2 is true nullifying the given expression 6/2 < -2/2  . Hence this expression is false

For the third option:

(–2)(6) > (–2)(–2)

Both sides were multiplied by a negative number i.e -2. Hence the sign supposed to reverse because -12 > 4 is false therefore this expression is FALSE

For the fourth option

6/-2 < -2/-2

Both sides were divided by a negative number i.e -2. Hence the sign supposed to reverse because -3 < 1 is true, therefore this expression is TRUE

For the fifth option:

((2)(6) < (–2)(2)

Both sides were multiplied by a positive number i.e 2. Hence the sign is not supposed to reverse because 12 < -4 is False, therefore this expression is FALSE

For the sixth option:

6/2 < (–2)/2

Both sides were divided by a positive number i.e 2. Hence the sign is not supposed to reverse because 3 < -4 is TRUE, therefore this expression is TRUE

=================================================

Work Shown:

When comparing units like inches, feet and yards, we need to get everything in the same unit to make a valid comparison. So we'd need to convert everything to inches for instance. The same idea applies to these five coins. We need to get everything in either lorgs, sinds, plunks, harps or dalts (pick one of those five).

It's effectively the same as trying to convert dollars into cents (eg: $1.37 converts to 137 cents). Or you can think of it as 1 dollar = 100 cents, 1 quarter = 25 cents, 1 dime = 10 cents, and so on.

The steps in the various sections below will aim to get all the coins converted to lorgs as our base unit. I found the lorg coin to be the smallest of value through trial and error, which is why I'm aiming to get everything in terms of lorgs.

The four given equations are

I'll refer to them as equation (1) through equation (4) in that order above.

--------------

1 sind = 4 logs .... equation (1)

5 sinds = 20 lorgs .... multiply both sides by 5

2 harps = 20 lorgs .... replace "5 sinds" with "2 harps" from equation (3)

1 harp = 10 lorgs .... divide both sides by 2; call this equation (5)

--------------

1 plunk = 3 harps .... equation (4)

1 plunk = 3*(1 harp)

1 plunk = 3*(10 lorgs) .... plug in equation (5)

1 plunk = 30 lorgs .... call this equation (6)

---------------

2 plunks = 5 dalts ..... equation (2)

5 dalts = 2 plunks

5 dalts = 2*(1 plunk)

5 dalts = 2*(30 lorgs) .... replace 1 plunk with 30 lorgs; see equation (6)

5 dalts = 60 lorgs

1 dalt = 12 lorgs ..... divide both sides by 5; call this equation (7)

----------------

We found the following conversions:

Each of those equations helps us see how much the value of the coins sind, dalt, harp, plunk are in terms of lorgs.

We can see that 1 plunk yields the most lorgs at 30. So the plunk coin is the most valuable. The lorg coin is least value since you need 4 of those coins to make the second lowest coin of 1 sind.

The order of the coins value from least to greatest is: lorg, sind, harp, dalt, plunk.

The number of days Super Sally and Lazy Petunia work are illustrations of simultaneous equations

(a) Super Sally and Lazy Petunia

Represent their earnings with the first letters.

So, we have:

[tex]\mathbf{L = \frac 12S}[/tex] -- number of days

[tex]\mathbf{20L + 57S= 7733}[/tex] --- the total earnings

Make S the subject in [tex]\mathbf{L = \frac 12S}[/tex]

[tex]\mathbf{S = 2L}[/tex]

Substitute 2L for S in [tex]\mathbf{20L + 57S = 7733}[/tex]

[tex]\mathbf{20L + 57 \times 2L = 7733}[/tex]

Expand

[tex]\mathbf{20L + 114L = 7733}[/tex]

Add

[tex]\mathbf{134L = 7733}[/tex]

Divide both sides by 134

[tex]\mathbf{L = 57.7}[/tex]

From the options, the closest to 57.7 is 60.

Hence, the number of days that Petunia worked is closest is 60

(b) 4 digit even numbers

The digits are given as: 0, 1, 5, 6, 7, 8 and 9

To create a 4-digit number, the first digit cannot be 0.

So, the first digit can be any of the remaining 6

Because, it is an even number, the number can only end with 0, 6 or 8

So, the last digit can be any of the 3

Since there is no repetition, the second and the third digits can be any of the remaining 5 and 4 digits, respectively.

So, the number of digits is:

[tex]\mathbf{n =6 \times 3 \times 5 \times 4}[/tex]

[tex]\mathbf{n =360}[/tex]

Hence, the number of digits is (d) 360

(c) The value of 28^983 x 98^984/14^2948

Rewrite the expression as:

[tex]\mathbf{\frac{28^{983} \times 98^{984}}{14^{2948}}}[/tex]

Express all number as a base of 14

[tex]\mathbf{\frac{14^{2 \times 983} \times 14^{7 \times 984}}{14^{2948}} }[/tex]

Apply law of indices

[tex]\mathbf{14^{2 \times 983+7 \times 984-2948}}[/tex]

Evaluate all products

[tex]\mathbf{14^{1966+6888-2948}}[/tex]

Evaluate the exponent

[tex]\mathbf{14^{5906}}[/tex]

Hence, the result of [tex]\mathbf{\frac{28^{983} \times 98^{984}}{14^{2948}}}[/tex] is [tex]\mathbf{14^{5906}}[/tex]

Learn more at:

https://brainly.com/question/16763389

Answer:

13 inches

Step-by-step explanation:

length of side of cube: x

volume of cube = x³ = 2300

x = ∛2300 = 13.2

Answer:

(x,y)=(-10/3+8r/3,4r t 1)

Step-by-step explanation:

乁( •_• )ㄏMe da wuebo escribir todo la explicación

Answer:

This is the answer do it fast. Ok

Answer:

see explanation

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

y = x² - 8x + 13 ← is in standard form

with a = 1 and b = - 8 , then

[tex]x_{vertex}[/tex] = - [tex]\frac{-8}{2}[/tex] = 4

Substitute x = 4 into the equation for corresponding value of y

y = 4² - 8(4) + 13 = 16 - 32 + 13 = - 3

Vertex = (4, - 3 )

The axis of symmetry is a vertical line passing through the vertex with equation

x = 4 ← equation of axis of symmetry

To determine direction of opening

• If a > 0 then graph opens up

• If a < 0 then graph opens down

Here a = 1, thus graph opens up

Answer:

y ≈ 33.4 ft

General Formulas and Concepts:

Pre-Algebra

Trigonometry

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use trig to find the missing length.

Step 2: Identify Variables

POV from angle measure

Angle = 80°

Adjacent = 5.8

Hypotenuse = y

Step 3: Solve for y

Answer:

i forgot how to do this

Step-by-step explanation:

Answer:

Multiply the bottom equation by 2.

Step-by-step explanation:

The given equation are:

3x + 4y = 8

and 6x – 2y = 9

(1)

(2)

Now, in order to add these equations and eliminate y, we should multiply the bottom equation by 2, thus we have

3x + 4y = 8

12x – 4y= 18

(3)

(4)

Now, adding the above equations, we

have

15x 26

= 26 15

Now, substituting the value of x in equation (3), we have

3(25) + 4y=8

y=1

Answer:

Multiply the bottom equation by 2.

Step-by-step explanation:

A.P.E.X 2021

Answer: My buy Justin is cracked at fortnite my guy...

Step-by-step explanation:

Answer:

10:30 and 17:51

Step-by-step explanation:

Answer:

it would be c

Step-by-step explanation:

Answer:

I think d

Step-by-step explanation:

Answer:

- At least <turn the other way. I think it should be d

Answer:

3 3/4 in 1 hour

Step-by-step explanation:

Divide

5/4 ÷ 1/3

15/4

3 3/4 per hour

Answer:

The equation of the line that passes through the given points is:

Hence, option D is correct.

The graph of the line equation is also attached below.

Step-by-step explanation:

Given the points

Finding the slope between (-5, 10) and (5, -10)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-5,\:10\right),\:\left(x_2,\:y_2\right)=\left(5,\:-10\right)[/tex]

[tex]m=\frac{-10-10}{5-\left(-5\right)}[/tex]

[tex]m=-2[/tex]

Using the point-slope form to determine the line equation

Point slope form:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = -2 and the point (-5, 10)

[tex]y-10=-2\left(x-\left(-5\right)\right)[/tex]

[tex]y-10=-2\left(x+5\right)[/tex]

Add 10 to both sides

[tex]y-10+10=-2\left(x+5\right)+10[/tex]

simplify

[tex]y=-2x[/tex]

Thus, the equation of the line that passes through the given points is:

Hence, option D is correct.

The graph of the line equation is also attached below.

Answer:

It is D

Step-by-step explanation:

Distribute:

=(4)(5m)+(4)(3)+2m

=20m+12+2m

Combine Like Terms:

=20m+12+2m

=(20m+2m)+(12)

=22m+12

Answer:

256 cm^2

Step-by-step explanation:

All of the sides of the square are equal so to calculate the area we do side times side.

16*16 = 256

cm^2 is the unit for this question

Some Equations:

6 + x = 27

x + 6 = 27

27 - 6 = x

27 - x = 6

27 = x + 6

27 = 6 + x

There are 11 girls

A system of equations to model this statement is x + (x + 6) = 27.

A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.

Given, There are 6 more boys than there are girls.

Assuming no. of girls to be x, therefore no. of boys is (x + 6).

Mrs. Smith has a total of 26 kids in her class.

∴ x + (x + 6) = 27.

learn more about linear equations here :

https://brainly.com/question/11897796

#SPJ2

Answer:

B

Step-by-step explanation:

Here, we want to get the value of m

The value of m can be obtained by multiplying the first factors of the first two polynomial, subtracting the first factor of the third and equating to 18

So what we have will be;

m * 6 - 6 = 18

6m -6 = 18

6m = 18 + 6

6m = 24

m = 24/6

m = 4

Answer: x=2, y=2, z=3

Step-by-step explanation: I hope this helps!

Answer:

Please check the explanation.

Step-by-step explanation:

4)

If an equation representing a parabola is in vertex form such as

[tex]y\:=a\left(x-k\right)^2+h[/tex]

then its vertex will be at (k, h).

Therefore the equation for a parabola with a vertex at (-1, 3), will have the general form

[tex]y\:=a\left(x+1\right)^2+3[/tex]

If this parabola also passes through the point (1, -5) then we can determine the  'a ' parameter.

[tex]-5\:=a\left(1+1\right)^2+3[/tex]

simplifying the equation

[tex]2^2a+3=-5[/tex]

[tex]4a+3=-5[/tex]

subtract 3 from both sides

[tex]4a+3-3=-5-3[/tex]

[tex]4a=-8[/tex]

Divide both sides by 4

[tex]\frac{4a}{4}=\frac{-8}{4}[/tex]

[tex]a=-2[/tex]

So our equation in vertex form is:

[tex]y\:=-2\left(x+1\right)^2+3[/tex]

5)

Given the expression

[tex]15n^2-6n[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c[/tex]

[tex]=15nn-6n[/tex]

[tex]\mathrm{Rewrite\:}6\mathrm{\:as\:}3\cdot \:2[/tex]

[tex]\mathrm{Rewrite\:}15\mathrm{\:as\:}3\cdot \:5[/tex]

[tex]=3\cdot \:5nn-3\cdot \:2n[/tex]

Factor out the common term 3n

[tex]=3n\left(5n-2\right)[/tex]

6)

Given the expression

[tex]2x^2+5x-10x-25[/tex]

Factor 2x²+5x: x(2x+5)

Factor -10x-25: -5(2x+5)

so the expression becomes

[tex]=x\left(2x+5\right)-5\left(2x+5\right)[/tex]

[tex]\mathrm{Factor\:out\:common\:term\:}\left(5+2x\right)[/tex]

Answer:

  hello, okay so im in 6th so this is easy. so

Step-by-step explanation:

figure out what 1 mile is. 1 mile would be 600 divided by 10, which is 60. so 60*15 would be 900. so he would drive 900 miles in 15 hours. :);

Answer: -3

Step-by-step explanation: hope this help

Answer:

64

Step-by-step explanation:

Here, we want to know the sum of the next two terms

We need to get the pattern first

The difference between the first two numbers is 49 (7^2)

next two is 36 (6^2)

next two is 25 (5^2)

next two is 16 (4^2)

next two will be 3^2 = 43-9 = 34

next will be 2^2 = 34-4 = 30

So the sum here is 30 + 34 = 64

Answer:

a < -12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

-11 > 1 + a

Step 2: Solve for a

Here we see that any value a smaller than -12 would work as a solution to the inequality.

Answer:

a < -12

Step-by-step explanation:

Answer:

4x⁵ z⁸

Step-by-step explanation:

hope it helps!

.......

Answer:

4 x^5 z^8

Step-by-step explanation:

To make it easy I am categorizing this in two groups. One is (xz^3), late us name it A and the other is after the multiplication sign that is (4x^4z^5) which we are naming B. Now 4 from b multiplies 1 from a(as there is no number which means there must be 1). In multiplication of power of bases we have to add the powers which means x from a × x^4 from b= x from a's power 1 + x from b's power 4=x^5 and repeating same process in case of z resulting in z^5.

Hence the above mentioned ans comes...

Hope this helps you

Answer:

[tex]4x+3[/tex]

Step-by-step explanation:

[tex]5x+4+(-x)-1[/tex]

Remove parentheses: [tex](-a)=-a[/tex]

[tex]=5x+4-x-1[/tex]

Group like terms

[tex]=5x-x+4-1[/tex]

Add similar elements: [tex]5x-x=4x[/tex]

[tex]=4x+4-1[/tex]

Add/subtract the numbers: [tex]4-1=3[/tex]

[tex]=4x+3[/tex]

Answer:

X³-x

Step-by-step explanation:

Lcm

x(x-1)(x+1)

x(x²-1)

x³-x

Answer:

6.

Step-by-step explanation:

f(x) = √(x - 4)      x > 4

y = √((x - 4)

Square both sides

y^2 = x - 4

x = y^2 - 4

So the inverse:

f-1(x) = x^2 + 4

f(-1)'(x) = 2x

When x = 3

f(-1)'(3) = 2(3) = 6.