1. Movie tickets cost $9.85 each and a large order of popcorn costs $7.35. Jamie bought 5
movie tickets and a large order of popcorn. If Jamie paid with a hundred dollar note, how
much change should he get back?

Answer:

angle 5 is vertical to 2

Step-by-step explanation:

Vertical angles are pair angles formed when two lines intersect.

Answer: <5

Step-by-step explanation:

The  equation in logarithmic form is log base (1/2) of (4) = -2

Given the equation is:

4= (1/2)⁻²

The fundamental logarithmic function has the notation f(x) = log(r) y = log(x), where a > 0. The exponential function ay = x's inverse is represented by this. The common logarithm (log) or natural logarithm (ln) are examples of log functions (log).

Convert the exponential equation to a logarithmic equation using the logarithm base (10)of the right side (0.01) equals the exponent (−2).

A popular method for changing a mathematical equation from one form to another is to transform it from exponential to log form. The exponential form an x = N is translated into the logarithmic form.

Log aⁿ= x.The exponent of x, which is equal to N, has the exponential form a to it is converted to the logarithm of a number N to the base of a, which is equal to x.

log base (1/2) of (4) = -2

log₁/₂ (4) = ₋2

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Lose $13.16

Here, we want to calculate the probability that we would win. The probability of winning is =

( No. of slots that win/ total no. of slots.)

For each individual spin, there  are two possible outcomes:

- There is a 1 in 38 chance of winning $175.

- There is a 37 in 38 chance of losing $5.

The expected value for each spin is the sum of the products of each outcome by their respective probability.

expected value =E1×P1 + E2×p2

175×1/38 + (-5) × 37/38

175/38 - 185/38

-10/38

In 50 spins, the expected value is:

E(50) = 50 × (-10/38)

E(50) =  - $13.16

expect to lose $13.16 if you spin the wheel 50 times.

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Answer:

624,062.58 is your answer :)

Step-by-step explanation:

A solution that is real in its nature is called the real solution of that equation.

X + 5 = 0

We can solve the above equation as,

X + 5 = 0

X = -5

Now, if we plug the value of X into the equation,

X + 5 = 0

-5 + 5 = 0

0 = 0

The solution is real and is true for this equation.

While the solution of an algebraic expression solution is imaginary if it is the square root of a negative number. It involves the imaginary unit iota.

The complete solution of the expression is given below in the picture.

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Answer:

0.25

Step-by-step explanation:

All i did was divided 3 by 12

Answer:

Step-by-step explanation:

upset

Answer: x=-1, y=2

Step-by-step explanation:

4x + 5y = 6

6x - 7y = -20

(4x + 5y = 6)*1.5

6x + 7.5y = 9

6x - 7y = -20

7.5y-(-7y)=9-(-20)

7.5y+7y=9+20

14.5y=29

y=2

4x + 5y = 6

4x + 5(2) = 6

4x+10=6

4x=-4

x=-1

Answer:

35%

Step-by-step explanation:

Decrease in Volume= 4ml-2.6ml

=1.4ml

Percentage Decrease= 1.4/4 x 100

=35%

The length of the diagonal (D) of this rectangular prism is equal to 9.5 feet.

Pythagorean theorem can be defined as a mathematical expression in Euclidean geometry that can be used to solve for any of the three (3) side lengths of a right triangle.

In order to determine the length of the diagonal (D) of this rectangular prism, we would first of all determine the diagonal of the base by applying Pythagorean theorem:

d² = l² + b²

d² = 4² + 7²

d² = 16 + 49

d² = 65

d = √65

Now, we can determine the length of the diagonal (D) of this rectangular prism:

D² = d² + h²

D² = √65² + 5²

D² = 65 + 25

D² = 90

D = √90

Diagonal, D = 9.5 feet.

Therefore, the length of the diagonal (D) of this rectangular prism is equal to 9.5 feet.

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Answer: -3x+4=2 is the new equation x= 2/3

Step-by-step explanation: brainliest?

Answer:

1/4

Step-by-step explanation:

Blue/total x blue/total

6/12 x 6/12 Which is the same as

1/2 x /12 = 1/4

Using the De Morgan's Law, the equivalent logical expression of the statement ∼p ∨ ∼q is ∼(p ∧ q)

The expression is given as

∼p ∨ ∼q

The above expression is a logical expression

The De Morgan's Law of logical expression states that

∼x ∨ ∼y = ∼(x ∧ y)

Next, we replace the variables x and y with the given variables in the question

So, we have

∼p ∨ ∼q = ∼(p ∧ q)

The above implies that the equivalent logical expression of the statement ∼p ∨ ∼q is ∼(p ∧ q) using the De Morgan's Law

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When the cell phone plan cost thirty dollars for each line, the function is C = 30x.

It should be noted that a function is used to show the relationship that exists between the variables that are given.

In this situation, the cell phone plan cost thirty dollars for each line.

Let each line be represented by x.

Therefore, the cost for the number of likes will be:

C = 30 × x

C = 30x

Therefore, the function is illustrated.

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Answer:

B = -1189/40

C = -13/18

Step-by-step explanation:

use your calculator to solve

and use the BODMAS method to help solve

The radius of the Earth, approximately equal to the radius of the globe raised to the 10th power, is 250,562,113.2 inches.

First, solve for the radius of the desktop world globe using the formula for the volume of a sphere given by:

V = 4/3 π r^3

If the desktop world globe has a volume of about 1386 cubic inches, then

1386 cubic inches = 4/3 π r^3

r = 6.916582163 inches

Next, solving for the radius of the Earth if it is approximately equal to the radius of the globe raised to the 10th power.

Exponent, or power, is the small number written at the upper right of a constant or variable that tells how many times that constant or variable should be multiplied to itself.

If the radius of the Earth if it is approximately equal to the radius of the globe raised to the 10th power, then

r of Earth = r of globe ^10

r = 6.916582163^10

r = 250,562,113.2 inches

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The problem is on indices. Write 36 in form of its prime factors. Apply the power rule (a^m)^(1/n)=a^(m/n).

36^(1/2)

(6^2)^(1/2) = 6^(2×1/2) = 6

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If the baker has a total of 1/2 bags of flour, the total weight of the bags of flour is 1.625

What is the weight of a bag of flour in pounds?

The fact that each bag of flour weighs 3 and 1/4 pounds means that each bag of flour is 3.25 pounds, in essence, the total weight of flour that the baker has can be determined as the weight of a bag of flour multiplied by the total of 1/2 bags of flour.

total weight of bags of flour=weight of a bag of flour*total weight of baker's flour

weight of a bag of flour=3.25 pounds

total weight of baker's flour=1/2 bag

total weight of bags of flour=3.25bags*1/2

total weight of bags of flour=1.625 pounds

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The measurement of angle A and B is 44° and 46° respectively.

What are complementary angles ?

When the sum of two angle is 90 degree it is known as complementary angles and when a line divides the line than the sum of angles formed with the given straight line is always equals to 90 degree.

It is given that the angle A and B are complementary angles whose measurements are :

∠A = (6x + 2)°

and , ∠B = (4x + 18)°

The sum of angle A and B will be 90 degree as they are complementary angles that is :

∠A + ∠B = 90°

Now, solving by adding like terms and finding the value of x :

6x +2 + 4x + 18 = 90°

10x + 20 = 90°

10x = 90-20

10x = 70°

x = 7°

now, the measurement of angle A will be :

∠A = (6x + 2)°

∠A = (6 · 7 + 2)°

∠A = (42 + 2)°

∠A = 44°  and  ∠B = 46°

Therefore, the measurement of angle A and B is 44° and 46° respectively.

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The result of simplifying each number  x²/₇ . x³/₁₄  using the exponent rules is [tex]\sqrt{}[/tex]x

To solve this exercise we have to resolve algebraic operations following the exponent rules.

(x²/₇) * (x³/₁₄)

Base= x

Using the product rule that indicates that: the exponent result will be the addition of these exponents, we have:

(x) ⁽²/₇ ⁺ ³/₁₄⁾

(x) ⁽⁴⁺³⁾/₁₄

(x) ⁽⁷/¹⁴⁾

(x) ⁽¹/²⁾

As we have a fractional exponent, you must convert the exponent to root:

[tex]\sqrt{}[/tex]x

In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.

Example: 3² = 3*3 = 9

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43.75 divided by 7 is 6.25, thus your answer is 6.25 hours

Both 3 is an extraneous solution.

We have the equation x - 6 = [tex]\sqrt{3x}[/tex]

To find the value of x we need to square on both side of the equation

[tex](x-6)^{2}[/tex] = [tex](\sqrt3{x} )^{2}[/tex]

[tex]x^{2}[/tex] - 12x + 36 = 3x

[tex]x^{2}[/tex] -15x + 36 = 0

[tex]x^{2}[/tex] - 12x - 3x + 36 = 0

x ( x- 12 ) - 3( x - 12) = 0

(x -12 ) ( x - 3) = 0

Therefore we get x = 12 , 3

Now we will put both the value of x in the equation

x - 6 = [tex]\sqrt{3x}[/tex]

Let put 12 first

12 - 6 = [tex]\sqrt{3 * 12}[/tex]

6 = 6

Now put 3

3 - 6 =[tex]\sqrt{3 * 3}[/tex]

- 3 [tex]\neq[/tex] 3

Therefore 3 is an extraneous solution .

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the equations y = - x - 4 and - 7 x + 8 y = 16 have the solution as x = - 16 / 5 and y = - 4 / 5.

We are given the two equations:

y = - x - 4

- 7 x + 8 y = 16

We need to solve these equations by substitution.

We will substitute the equation 1 in the equation 2 to get the values of x and y:

- 7 x + 8 y = 16

- 7 x + 8 (- x - 4) = 16

- 7 x - 8 x - 32 = 16

- 15 x = 16 + 32

- 15 x = 48

Divide both sides by - 15, we get that:

x = 48 / - 15

x = - 16 / 5

y = - x - 4

Put the value of x

y = 16 / 5 - 4

y = 16 - 20  / 5

Subtract to get the value:

y = - 4 / 5

Therefore, we get that, the equations y = - x - 4 and - 7 x + 8 y = 16 have the solution as x = - 16 / 5 and y = - 4 / 5.

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The answer is 5.

When a liquid silver is poured into a mold and cools down to become a solid bar is a transition in which the liquid phase is converted into a solid phase which is termed solidification represented by arrow number 5.

Whereas other arrows represent:

Arrow 1 represents the vaporization process where the liquid state changes to a gaseous state.

Arrow 2 represents the Fusion process where the solid-state changes to a liquid state.

Arrow 3 represents the sublimation process where the solid-state changes to a gaseous state by escaping the liquid state.

Arrow 4 represents the condensation process where the gaseous state changes to a liquid state.

Arrow 6 represents the deposition process where the gaseous state changes to a solid state by escaping the liquid state.

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Write out the decimal expansion of each number:

[tex]212_x \equiv 2x^2 + x + 2[/tex]

[tex]122_x \equiv  x^2 + 2x + 2[/tex]

[tex]1111_x \equiv x^3 + x^2 + x + 1[/tex]

Note that [tex]x[/tex] must be greater than 2. Solve for [tex]x[/tex].

[tex]212_x + 122_x = 1111_x \iff (2x^2 + x + 2) + (x^2 + 2x + 2) = x^3 + x^2 + x + 1 \\\\ ~~~~ \implies 3x^2 + 3x + 4 = x^3 + x^2 + x + 1 \\\\ ~~~~ \implies x^3 - 2x^2 - 2x - 3 = 0 \\\\ ~~~~ \implies (x^3 - 3x^2) + (x^2 - 3x) + x - 3 = 0 \\\\ ~~~~ \implies x^2(x-3) + x(x-3) + (x-3) = 0 \\\\ ~~~~ \implies (x-3) (x^2+x+1) = 0 \\\\ ~~~~ \implies \boxed{x=3}[/tex]

Answer:

58.32

Step-by-step explanation:

100÷12.5=8, 7.29×8=58.32.

Answer:

Since the simplest form of the fraction 20/50 is 2/5, the simplest form of the ratio 20:50 is also 2:5.