Stephen and Paul each purchased a movie ticket at AMC theaters for $11.00 each. Both bought a drink from the concession stand. Stephen used a $5.00 off coupon that he received in the mail. After using the coupon, their total cost before tax was $29.18.

Write an equation that can be used to determine the cost of one drink. Be sure to define your variable.

Answer:

B

Step-by-step explanation:

The distance between both the ship and the lighthouse's base is 328 feet.

If a line of sight is slightly down from the horizontal line, it forms an angle with the horizontal line. If the object being observed is below the observer's level, the angle formed between both the horizontal line and also the observer's lines of sight is known as the angle of depression.

Given the circumstances, a right angle triangle is constructed. The lighthouse's height represents the right angle triangle's opposite side.

The adjacent side of a right angle triangle is represented by the horizontal distance, h, between both the ship and thus the base of the lighthouse.

Because they are opposite angles, is if angle of depression to the fire is 26°, the angle of elevation of a lighthouse from the ship is also 26°.

To calculate h, we would use

the trigonometric tangent ratio;

Tan θ = opposite side/adjacent side. Therefore,

Tan 26 = 160/h

h = 160/tan26 = 160/0.4877

h = 328 feet

Therefore, the distance between the ship and the base of the light house is 328 feet.

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The measure of angle 1 is 76⁰, the measure of angle 2 is 104⁰, the measure of angle 3 is 76⁰ and the measure of angle 4 is 104⁰.

The sum of angles in a circle is 360 degrees.

In other words, we can say that, the sum of the measures of the central angles of a circle with no points in common is 360 degrees.

In the given diagram, angle 1, angle 2, angle 3 and angle 4 will sum to 360 degrees.

m∠1 + m∠2 + m∠3 + m∠4 = 360⁰

another interesting to observe is that;

m∠1  = m∠3

m∠2 = m∠4

if m∠1 = 76⁰, then

m∠3 = 76⁰

m∠2 + m∠4 = 360 - (76 + 76)

m∠2 + m∠4 = 208

m∠2 = m∠4 = 208/2 = 104⁰

Thus, the measure of angle 1 is 76⁰, the measure of angle 2 is 104⁰, the measure of angle 3 is 76⁰ and the measure of angle 4 is 104⁰.

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If the average of x and y is 11 and the average of x, y and z is 5, then the value of z is -7

Given,

The average of x and y = 11

We know average = Sum of the terms / Number of terms

Then, the equation will become

[tex]\frac{x+y}{2}=11[/tex]
x+y =11×2

x+y =22

Average of x, y and z = 5

[tex]\frac{x+y+z}{3}=5[/tex]

x+y+z = 5×3

x+y+z =15

Substitute the value of x+y

22+z=15

z =15-22

x = -7

Hence, If the average of x and y is 11 and the average of x, y and z is 5, then the value of z is -7

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The principal in terms of Simple Interest, Time, and Rate can be expressed as p=(i×100)/(r×t).

Whenever a loan is given to a person it is given for some specific amount of time at a specific rate of interest which is to be paid along with the principal amount. Simple Interest is the method of calculating the interest amount on a loan given for a specific period.

It involves the multiplication of the principal amount, rate of interest, and the time for which the loan is given divided by 100.

Here Simple interest is denoted by i, time in years is denoted by t, the principal is denoted by p, and the rate of interest is denoted by r.

The formula of simple Interest is given by:

Simple interest = (Principal×Rate×Time)/100

i=(p×r×t)/100

Now principal can be denoted as:

p=(i×100)/(r×t)

Thus, the Principal in terms of Simple Interest, Time, and Rate can be expressed as p=(i×100)/(r×t).

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Answer:

a(c-b)=d

we open the bracket i.e expand it

ac-ab=d

make c the subject formula to get your answer

ac=d+ab

c=d+ab/a

The board measures 212 inches which is equal to 17.7 feet.

Measurement:

Measurement is used to identify the quantity of the object.

Each object has its own measurements, like solid objects are measured using grams and the liquid one are measured using liters, etc.

For example,

We can buy the vegetables in grams because they are solid objects.

Instead, we have buy the milk in liters because they are liquid.

Given,

A board measures 212 inches.

Here we need to convert this into feet.

We know that,

1 inch = 0.0833333 feet.

So, 212 inches is equal to,

=> 212 x 0.0833333

=> 17.6667 feet.

Here we have to round the answer with one decimal place.

So, that is,

=> 17.7 feet.

Therefore, the board measurement in feet is 17.7 feet.

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Answer:

13 - 12s

Step-by-step explanation:

= 8 - 3s + 6 - 5s - 1 - 4s

= 13 - 12s

Answer:

8+3=11

(-s + 2) - 5s - 1 - 4s = -10s + 1

The area of the window is 305.12 square inches.

given that

jaylon created this stained glass window the upper two coners are quater ciecleseach with a radius of 4 inches.

The window's area is equal to the sum of the areas of a rectangle, two quarter circles, and the smaller square between the two upper corners.

The quantity of space occupied by a flat surface with a specific shape is referred to as the area.

now, find the area of rectangle

A = length x breadth

A = 12 x (26-4)

A = 12 x 22

A = 264 square inches

find the area of the two quarter circle

[tex] A= 2( \frac{1}{4} (3.14) \times {4}^{2} ) \\ A = 25.12 {in}^{2} [/tex]

Find the area of the smaller square between the two upper corners

A = (12-8) (4)

A = 4 x 4

A = 16 sq.in

now, find the total area

A = 264 + 25.12 + 16

A = 305.12 square inches

Hence, the area of the window is 305.12 square inches.

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The type of distributions represented by the given graphs in the question are as follows;

(a) Symmetric

(b) Bimodal

(c) Skewed right

(d) Uniform

(e) Skewed right

The definition and descriptions of the given terms are;

Approximately; The term is used to describe the state of things which is close to an actual thing or situation.

Symmetric; A distribution is symmetric when the area of the side on the left and on the right of the mean are equal and balance each other.

Bell shaped; A distribution that has a bell shaped graph, which usually represents a normal distribution, can be described as a bell shaped distribution.

Skewed left; The graph of a distribution is skewed left if it has a tail (smaller values) on the left of the graph

Skewed right; The graph of a distribution is skewed right if the tail is on the right of the graph.

Uniform; A distribution is uniform if the shape of the graph is approximately rectangular.

Bimodal; A distribution that has two peaks is said to be a bimodal distribution.

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Answer:

3√2

Step-by-step explanation:

divide both sides by 2

3√2 = n

Answer:

n = 9

Step-by-step explanation:

note that ([tex]\sqrt{a}[/tex] )² = a , then

(3[tex]\sqrt{2}[/tex] )² = 2n

3 × 3 × [tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex] = 2n

9 × 2 = 2n

18 = 2n ( divide both sides by 2 )

9 = n

Answer:

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer: 10 times more heavier.

The odds that a carton of eggs will have at least one cracked egg is 97.5 %

The question has to do with probability

Probability is the likelihood for an event to occur. It is given by P(event) = number of required outcomes/total number of possible outcomes.

Given that the probability that a carton of eggs taken from the cooler at a store will have at least one cracked egg is 2.5%. Let the probability of at least one cracked egg be P(egg ≤ 1) = 2.5% = 0.025

Now, since we require the probability of  that a carton of eggs will have at least one cracked egg, that is the number of cracked is greater than 1.

Let the probability of cracked eggs greater than 1 be P(egg ≥ 1).

From the law of probability

P(egg ≤ 1) + P(egg ≥ 1) = 1

So,  P(egg ≥ 1) = 1 -  P(egg ≤ 1)

P(egg ≥ 1) = 1 -  0.025

P(egg ≥ 1) = 0.975

P(egg ≥ 1) = 0.975 × 100 %

P(egg ≥ 1) = 97.5 %

So, the odds that a carton of eggs will have at least one cracked egg is 97.5 %

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The phone numbers that are possible in Wilmington are 10000000. The phone numbers possible in Wilmington if the number cannot be used is 4782969. The phone numbers are possible in Wilmington if they must be divisible by 2 or 5 are 6000000. The phone numbers are possible in Wilmington if there are no repeated digits are 5040.

A positional numeral system uses a single symbol, a numerical digit, to represent numbers. The word "digit" refers to the ten decimal (old Latin adjective decem meaning "ten") digits, which are the equivalent of the ten symbols used in the conventional base-10 numeral system. The word "digit" comes from the Latin word "digiti," which means "fingers."

The absolute value of the base determines the required number of different digits for a given numeral system with an integer basis. For instance, the base-10 decimal system requires ten digits (0 through 9), whereas the base-2 binary system just needs two digits (0 and 1).

Explanation:

The number after area code is of 7 digits.

a) [tex]10^{7} =10000000[/tex]

b) [tex]9^{7} =4782969[/tex]

c) X  X  X  X  X  X  X

    I   I    I   I    I    I    I

   10 10 10 10 10 10  0,2,4,6,8,5,i.e,6digits are possible

=[tex]10^{6} x6=6000000[/tex]

d)7!

=5040

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Convert the word problem into an equation as follows:

Let's use the variable 'x' for girls and 'x+7' for boys.

x + x + 7 = 29

Combine like terms

2x + 7 = 29

Subtract 7 from both sides

2x = 22

Divide 2 into 22 to get x

x=11 girls

x+7 = 18 Boys

Answer:

y = 3/4 x - 1

Step-by-step explanation:

We can use the point-slope form of the equation of a line.

y - y_1 = (y_2 - y_1)/(x_2 - x_1)(x - x_1)

y - (-4) = (5 - (-4))/(8 - (-4))(x - (-4))

y + 4 = (9/12)(x + 4)

y + 4 = (3/4)(x + 4)

y + 4 = (3/4)x + 3

y = (3/4)x - 1

Answer:

x=-19

Step-by-step explanation:

For solving for x you will have to use inverse operations

-6=(-5+x)/4

-6(4)=-5+x

-6(4)+5=x

-19=x

x=-19

Answer:

d,c,a,b

Step-by-step explanation:

Length of the side of cube is ( 3/10 ) ft and the area of two sides of cubical box that sabrina will cover is  ( 9/50 ) sq ft .

Length of the side of cube = s

The given volume of cubical box  = ( 27/1000 ) ft cubed         equation 1

Volume of Cubical box = [tex](length of cube side)^{3}[/tex]

Volume of Cubical box = [tex]s^{3}[/tex]                                          equation 2

On comparing equation 1 and equation 2 , we get

[tex]s^{3}[/tex] = ( 27 / 1000 )

s = ( 3 / 10 ) = 0.3 ft

Sabrina wants to completely cover two of the faces with labels, So we need to calculate the area of two sides of cubical box.

The area of two sides of cubical box = 2 [tex]s^{2}[/tex]

The area of two sides of cubical box = 2 ( 3/10 )² = ( 9 / 50 ) sq ft

Length of the side of cube is ( 3/10 ) ft and the area of two sides of cubical box that sabrina will cover is  ( 9/50 ) sq ft .

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Answer:

40

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

BODMAS

start with solving 2^2 which is similar to 2×2 you get 4

2^2=4

4+3 =7

The answer for the given question is 67.

An equation is a mathematical statement made up of two expressions connected by an equal sign. 2x - 4 = 16 is an example of an equation. We get the value of the variable x as x = 10 after solving this equation.

Coefficients, variables, operators, and constants are all components of an equation.

An equation is formed by joining two expressions with an equal sign ("=").. The two expressions on either side of the equals sign are referred to as the equation's "left-hand side" and "right-hand side" The right-hand side of an equation is usually assumed to be zero. This will not reduce generality because we can balance it by subtracting the right-hand side expression from the expressions on both sides.

Let x be Vidya's height.

The equation will be determined by the given conditions:

x – 19 = 48

move the variable to the equation's left side:

x = 48 + 19

x = 67

Hence, the correct value for the given question is 67

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Answer:

$134.09

Step-by-step explanation:

you take 156.34 and minus 15.50, then you take that and minus it by 6.75

Answer $134.09

why 156.34 - 15.50+6.75=134.09

1a) The domain is a set of all real numbers not equal to 5

1b) The domain is a set of all real numbers not equal to 4

Domain of a function is the set of all possible input values that make the function defined.

1a) We are given the function;

C(x) = -3²/(x - 5)

The domain will be a set of values that makes the denominator not equal to zero. Thus;

The domain is a set of all real numbers not equal to 5

1b) The function is; R(x) = 4x/(3x - 12)

The domain will be a set of values that makes the denominator not equal to zero. Thus;

The domain is a set of all real numbers not equal to 4

2a) Function is;

f(x) = (x + 8)/(2x - 1)

f(2) = (2 + 8)/(2(2) - 1)

f(2) = 10/3

f(0) = (0 + 8)/(2(0) - 1)

f(0) = -8

f(-1/2) = (-1/2 + 8)/(2(-1/2) - 1)

f(-1/2) = -15/4

2b) Function is;

r(t) = (t² + 8)/(t³ - 25t)

r(3) = (3² + 8)/(3³ - 25(3)) = -17/48

r(2) = (2² + 8)/(2³ - 25(2)) = -12/42 = -2/7

r(-1) = ((-1)² + 8)/((-1)³ - 25(-1))  = 9/24 = 3/8

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Part (a)

r = radius

h = height = 5r

SA = Surface area of a cylinder

SA = 2pi*r^2 + 2pi*r*h

SA = 2pi*r^2 + 2pi*r*5r

SA = 2pi*r^2 + 10pi*r^2

SA = (2pi+10pi)*r^2

SA = 12pi*r^2

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

Part (b)

r = radius

h = height = 5r

V = volume of a cylinder

V = pi*r^2*h

V = pi*r^2*5r

V = 5pi*r^3

Set this equal to the stated volume of 1715pi cubic cm and solve for r.

The pi terms cancel

So,

V = 5pi*r^3

1715pi = 5pi*r^3

1715 = 5r^3

r^3 = 1715/5

r^3 = 343

r = CubeRoot(343)

r = 343^(1/3)

r = 7

The fact that Jesse is working out at a gym mean that Jesse has a membership to the gym. Therefore, this is a deductive reasoning.

It should be noted that the deductive reasoning is when one arrives at conclusion based on the information that was given earlier.

Based on the information given, it should be noted that one can only work out at the gym if the person has a membership. An individual without a membership will be unable to work out.

In this case, the fact that Jesse is working out at a gym mean that Jesse has a membership to the gym. Therefore, this is a deductive reasoning.

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