Harper went into a movie theater and bought 10 bags of popcorn and 6 drinks,
costing a total of $79. Damian went into the same movie theater and bought 3 bags of
popcorn and 5 drinks, costing a total of $36.50. Write a system of equations that
could be used to determine the price of each bag of popcorn and the price of each
drink. Define the variables that you use to write the system.

Answer:

The z-score represents the number of standard deviations an observation is from the mean.

Step-by-step explanation:

We want to complete the statement:

The _______ represents the number of standard deviations an observation is from the mean.

Whenever we calculate z- scores, we are finding how many standard deviations an observation is from the mean.

A z-score of 3, means an observation is 3 standard deviation above the mean.

Therefore the best complete is:

z-score.

The Z-score represents the number of standard deviations an observation is from the mean. It provides a comparative measure that standardizes data, making it easier to compare data from different sets.

The Z-score represents the number of standard deviations an observation is from the mean. In statistics, it is a way to compare the position of any observation relative to the overall distribution.

Here's an example: if a Z-score of a data point is 2, it means that the data point is 2 standard deviations above the mean. Conversely, if a Z-score of a data point is -1, it means that the data point is 1 standard deviation below the mean.

Z-scores provide a standardized way to interpret data, which makes the comparison of different data sets more straightforward and undistorted by differences in units or scales.

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This is the answer, I hope it will be help

The percent of vehicles whose speeds are between 65 miles/hour and 73 miles/hour will be 68 %.

It is given that mean speed of sample of vehicles (μ) is 69 miles/hour and standard deviation is 4 miles/hour.

We have to find out the percent of vehicles whose speeds are between 65 miles/hour and 73 miles/hour using the empirical rule.

What is the empirical rule if distribution lies within one standard deviation from the mean ?

The empirical rule states that for a normal distribution, 68% of the distribution are within one standard deviation from the mean.

As per the question , we have ;

Mean speed of sample of vehicles (μ) = 69 miles/hour

Standard deviation = 4 miles/hour

To find the % of vehicles , let's check where the distribution lies ;

So ;

μ - 4 ;

= 69 - 4

= 65 miles / hour

μ + 4 ;

= 69 + 4

= 73 miles / hour

Since ; it lies between μ - 4 and μ + 4 , so by using the empirical rule we get that it lies within one standard deviation.

Hence ; by the empirical rule ;

% of vehicles between speed 65 miles/ hour and 73 miles/hour = 68 %

Thus , the percent of vehicles whose speeds are between 65 miles/ hour and 73 miles/hour will be 68 %.

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Answer:

Camacho pays in total for the monster truck = $x + $0.13x = $1.13x

Step-by-step explanation:

i.) The price of truck is $x

ii.) Monstor truck tax  = 13% of price of truck = [tex]\frac{13}{100}\times $x[/tex] = $0.13x

iii) Camacho pays in total for the monster truck = $x + $0.13x = $1.13x

Options A and D correctly represent how much Camacho pays in total for the truck:

A. (1 + 0.13)x

D. 1.13x

The total amount Camacho pays for the monster truck includes the price of the truck plus the tax, which is 13% of the price of the truck. Therefore, the total amount can be represented by the expression:

[tex]\[ \text{Total amount} = \text{Price of the truck} + \text{Tax amount} \][/tex]

Given that the price of the truck is x dollars and the tax is 13\% of the price, we can represent the tax amount as 0.13x .

So, the total amount Camacho pays is:

[tex]\[ \text{Total amount} = x + 0.13x \][/tex]

[tex]\[ \text{Total amount} = 1.13x \][/tex]

Therefore, options A and D correctly represent how much Camacho pays in total for the truck:

A. (1 + 0.13)x

D. 1.13x

The complete Question is given below:

Camacho is buying a monster truck. The price of the truck is x dollars, and he also has to pay a 13% monster truck tax. Which of the following expressions could represent how much Camacho pays in total for the truck? Choose 2 answers:

A. (1+0.13)x

B. 13x/100

C. 13x

D. 1.13x

E .13x+x

Answer:

1. a. o = 3b

b. o = 3 pounds

2. a. Most popular animals:

A. Dogs - 67%

B. Cats - 20%

C. Other - 8%

D. None - 4%

E. Horses - 1%

b. 20 students

Step-by-step explanation:

1. a. The equation is:

o = 0.15 *20b

o = 3b

where, o = weight of oats in pounds and b = number of dog food bags

b. Let's find out the weight of the oats in one dog food bag, using our equation:

o = 0.15 *20b

o = 0.15 *20 * 1

o = 3 pounds

2. a. Most popular animals:

A. Dogs - 67%

B. Cats - 20%

C. Other - 8%

D. None - 4%

E. Horses - 1%

b. If 250 students were interviewed, the 8% who answered "other" are:

8% of 250 = 0.08 * 250 = 20 students

Answer:

Step-by-step explanation:

Populations is who is surveyed or what the questions is targeting. More specifically who. That would be households with a car.

Use what I put as the definition for population to answer the other questions!

Answer:

Factors Affecting Cost Factors Affecting Cost

opportunity cost: the opportunity to produce and sell    

                                                                              hamburgers

cost of materials: cost of pizza ingredients and pizza boxes

sunk cost: money spent on researching the best option

fixed cost: money for paying employees

marginal cost:the cost of baking one more pizza

Step-by-step explanation:

Perry Angelo's cost of making pizza is affected by the cost of ingredients, labor costs, and capital costs like the pizza oven and shop rent. These costs, along with a desired profit margin, influence the selling price.

The cost of producing pizza or any output involves various factors. In the scenario described for Perry Angelo's pizzeria, three significant factors affecting the cost of making pizza include:

These elements contribute to the total production cost, on top of which Perry will need to add his desired profit margin to determine the selling price for the pizzas.

Option D

The percentage increase of the area  of the building space is 34 %

Solution:

A company is expanding its building area from 11,000 square feet to 14,740 square feet

To find: Percentage Increase

The percent increase is given by formula:

[tex]\text{Percent increase } = \frac{\text{Final value - Initial value}}{\text{Initial value}} \times 100[/tex]

From given,

Initial value = 11000

Final value = 14740

Substituting we get,

[tex]Percent\ Increase = \frac{14740-11000}{11000} \times 100\\\\Percent\ Increase = \frac{3740}{110}\\\\Percent\ Increase = 34[/tex]

Thus percentage increase of the area  of the building space is 34 %

Answer: they will have to pay 50 dollars

Step-by-step explanation: you have to multiply 2,500 by 0.02 as it is the same as a percent then you should get 50

Answer:

Translate each point of g(x) 5 units up.

Step-by-step explanation:

The given the graph of the parent function

[tex]g(x) = log_{2}(x) [/tex]

We want to use this graph to draw the graph of

[tex]f(x) = log_{2}(x) + 5[/tex]

We can observe that:

[tex]f(x) = g(x) + 5[/tex]

This means the graph of the parent function, g(x) must be shifted up 5 units.

Therefore the correct answer is A.

Answer:

x = -20

Step-by-step explanation:

First we can rearrange the equation:

[tex]\frac{x}{2}[/tex] -18 = -28

2 * [tex]\frac{x}{2}[/tex] - 18 = -28 * 2

The 2s canel out

x - 36 = - 56

x = -20

Answer:

???

Step-by-step explanation:

you don't have a question to answer

[tex]\bf \cfrac{cot(A)}{tan(A)}\implies \cfrac{~~\frac{1}{tan(A)}~~}{tan(A)}\implies \cfrac{~~\frac{1}{tan(A)}~~}{\frac{tan(A)}{1}}\implies \cfrac{1}{tan(A)}\cdot \cfrac{1}{tan(A)} \\\\\\ \cfrac{1}{[tan(A)]^2}\implies \cfrac{1}{tan^2(A)}\implies \cfrac{1^2}{tan^2(A)}\implies \left( \cfrac{1}{tan(A)} \right)^2\implies cot^2(A)[/tex]

Final answer:

To simplify cotA/tanA, we recognize that cotA is the reciprocal of tanA. The expression simplifies to cosA^2/sinA^2, which can also be written as cotA^2.

Explanation:

To simplify the expression cotA/tanA, we can use the fundamental trigonometric identities that relate the cotangent and tangent functions. The cotangent function, cotA, is the reciprocal of the tangent function, tanA, which means cotA = 1/tanA. Therefore, when we simplify cotA/tanA, we are effectively dividing the reciprocal of the tangent function by the tangent function itself.

The simplification would thus be:

Answer:

x = - 3 - √33 / 2

x = + 3 + √33 /2

or

x=1.37228132...

x=−4.37228132...

Step-by-step explanation:

The two values of x that are roots of the equation x^2+3x-6=0 are approximately x ≈ -4.16 and x ≈ 1.16.

To find the two values of x that are roots of the equation x^2+3x-6=0, we can use the quadratic formula. The formula is:

x = (-b ± √(b^2 - 4ac)) / 2a

In this case, a = 1, b = 3, and c = -6. Plugging in these values, we get:

x = (-3 ± √(3^2 - 4(1)(-6))) / 2(1)

Simplifying further:

x = (-3 ± √(9 + 24)) / 2

x = (-3 ± √33) / 2

So the two values of x that are roots of the equation are approximately x ≈ -4.16 and x ≈ 1.16.

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Answer:

well i dont really get ehat yours saying but the qustions are

3x+y=5

3^1+1=5

and then

4z+2y=20

i think

4^6+2^6=20

Step-by-step explanation:

Answer:

a) 60° , b) 120° and c) 60°

Step-by-step explanation:

See the diagram attached to this question.

a) Here, ∠ 4 and ∠ 3 are supplementary angles.

So, ∠ 4 + ∠ 3 = 180° {Here, ∠ 3 is given to be 120°}

⇒ ∠ 4 = 180° - ∠ 3 = 180° - 120° = 60° (Answer)

b) Now, ∠ 3 and ∠ 6 are alternate angles and hence, ∠ 3 = ∠ 6 = 120° (Answer)

c) Here, ∠ 6 and ∠ 8 are supplementary angles.

So, ∠ 6 + ∠ 8 = 180°

⇒ ∠ 8 = 180° - ∠ 6 = 180° - 120° = 60° (Answer)

Answer:

Pam had 4 times as many pencils as erasers

Step-by-step explanation:

24 pencils

6 erasers

24 pencils = x * 6 erasers

Divide by 6 on both sides to isolate x

x = 4

Pam had 4 times as many pencils as erasers

Hope this helps :)

Answer:

The inequality m ≥ 2 has infinity many solutions because 2 and any number to the right of 2 on the number line can be substituted for m to make this inequality true.

Answer:b/9

Step-by-step explanation: the expression b divided by 9 is b/9

Answer: b ÷ 9

Step-by-step explanation:

Well, since the question is to write an expression for b divided by 9, you just write b divided into 9 parts.

NOTE: Remeber, an expression is an equation but WITHOUT an answer.

Hope this helps! Please feel free to correct me if I'm wrong!

Answer:

47 + 40 x 4

Step-by-step explanation:

sum is adding 2 numbers together and you would then multiply 4 after adding :)

Answer:

[tex]-27x[/tex]

Step-by-step explanation:

Given Equation:

                    [tex]-3 x [75/(9 - 4)^2]^2[/tex]

On simplifying the equation:

               [tex]=-3 x [75/(9 - 4)^2]^2\\=-3 x [75/(5)^2]^2\\=-3 x [75/25]^2\\=-3 x [3]^2\\=-3x*9\\=-27x[/tex]

The value of 'x' can be find by equating the simplified value to some certain value according to the equation.

Answer: $22.50

Step-by-step explanation:

Since the price is 50% off, you need to find half of 45. 45/2 is 22.5, so she saves $22.50

Answer and Explanation: The square root of 147 is approximately 12.12436 or 7√3 in radical form. To begin, examine 147's factors. These are: 1, 3, 7, 21, 49, 147.

Hope this helped

Answer:

12.12436 or 7√3

Step-by-step explanation:

Answer:

Answer is B. (4,0)

Step-by-step explanation:

2x - y = 8

x + y = 4

solve the equation

2x - y = 8

y = 4 - x

substitute the value of y into the equation

2x - (4 - x) = 8

solve the equation

x = 4

substitute the value of x into an equation

y = 4 - 4

solve the equation

y = 0

answer is (4,0)

Answer:

w = 5/8

Step-by-step explanation:

divide by 8 to both sides to get 8/8w = 5/8

8/8 = 1, w = 5/8.

Answer:

W= 5/8

Step-by-step explanation:

divide both sides by 8

Answer:

1,000  900 800 700 600 500 400 300 200 100

Step-by-step explanation:

a. The inequality that models the possible change in the number of feet, r, of the whale's elevation is: 35 - r ≤ 17.

This inequality represents the starting depth of 35 feet below the surface (35), minus the possible change in elevation (r), which should be less than or equal to the maximum height the whale jumps, which is nearly 17 feet above the surface (17).

b. By solving the inequality 35 - r ≤ 17, we can find the range of possible values for r.

First, subtract 35 from both sides of the inequality: -r ≤ 17 - 35. Simplifying further, we have -r ≤ -18. Then, multiply both sides by -1, remembering to reverse the inequality direction: r ≥ 18.

The solution to the inequality is r ≥ 18, meaning that the possible change in the number of feet of the whale's elevation must be equal to or greater than 18. This implies that the whale's jump cannot be less than 18 feet above the surface.

Therefore, the whale's elevation can change by any value equal to or greater than 18 feet, allowing it to jump to a height of nearly 17 feet above the surface.

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a) The inequality can be written as 35 - r ≤ 17. b) The solution to the inequality is r ≥ 18, which means that the change in the number of feet, r, of the whale's elevation must be greater than or equal to 18.

a.

Since the whale swims upward and jumps to a height of nearly 17 feet above the surface, we can represent the change in elevation as r.

The inequality can be written as:

35 - r ≤ 17

Here, 35 represents the starting depth below the surface, and 17 represents the height above the surface that the whale reaches.

By subtracting r from the starting depth, we account for the possible decrease in elevation as the whale swims upward.

b. To solve the inequality, we can isolate r on one side of the equation:

35 - r ≤ 17

Adding r to both sides of the inequality:

35 - r + r ≤ 17 + r

35 ≤ 17 + r

Subtracting 17 from both sides:

35 - 17 ≤ 17 + r - 17

Simplifying further:

18 ≤ r

Therefore, the solution to the inequality is r ≥ 18.

In terms of the situation, the inequality r ≥ 18 means that the change in the number of feet, r, of the whale's elevation must be greater than or equal to 18.

This indicates that as the whale swims upward and jumps to a height of nearly 17 feet above the surface, the whale's elevation can increase by at least 18 feet from its starting depth of 35 feet below the surface.

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Answer:

27200 rounded will be 30000

Step-by-step explanation:

firstly you find 1% which is 200

then you multiply by 6 to get 6%

then you multiply by 6 again to get the total

Answer:

y-6=-4(x-1)

Step-by-step explanation:

y-y1=m(x-x1)

y-6=-4(x-1)

Answer:

The actual answer is A or 1 as you have it.

Step-by-step explanation:

All you have to do is just map out the coordinates yourself. You're looking for a reflection that goes across the Y axis, but NOT across the X axis.

Hope this helps you and anyone looking for an answer to their headache.

Final answer:

The reflected coordinates of the rectangle over the y-axis are L'(-1, -1), M'(-1, -9), N'(-8, -9), and O'(-8, -1), matching option 1.

Explanation:

The student is asking about finding the coordinates of a rectangle's vertices after it has been reflected over the y-axis. Reflecting a shape over the y-axis changes the sign of the x-coordinate of each vertex, while the y-coordinate remains the same. So, if we have a point (x, y), the reflected point over the y-axis would be (-x, y). Applying this to the rectangle's vertices we have:

For L(1, -1), the reflection L' would be (-1, -1).

For M(1, -9), the reflection M' would be (-1, -9).

For N(8, -9), the reflection N' would be (-8, -9).

For O(8, -1), the reflection O' would be (-8, -1).

Therefore, the correct reflected coordinates are L'(-1, -1), M'(-1, -9), N'(-8, -9), and O'(-8, -1), which corresponds to option 1.