Is this correct? Or what do you think the answer is please

Answer:

Step-by-step explanation:

Width = Area / Length
Width = 3339 cm^2 / 63 cm

Width = (1113/21) cm

Width = (371/7) cm

Width = 52 cm

Answer:

Hope this helps ^^

Step-by-step explanation:

Let's define the variables:

Let's call the cost of a burger "B" (in dollars).

Let's call the cost of a hotdog "H" (in dollars).

Now, we can set up a system of equations based on the given information:

Equation 1: 2B + H = 4.82 (Two burgers and one hotdog cost $4.82)

Equation 2: B + 2H = 3.70 (One burger and two hotdogs cost $3.70)

To solve this system of equations, we can use the method of substitution or elimination.

Using the method of elimination, we can multiply Equation 2 by 2 to eliminate the "B" term:

2(B + 2H) = 2(3.70)

2B + 4H = 7.40

Now, we can subtract Equation 1 from this new equation to eliminate the "2B" term:

(2B + 4H) - (2B + H) = 7.40 - 4.82

2H - H = 2.58

H = 2.58

Therefore, the cost of a hotdog is $2.58.

Labeling the answer: The cost of a hotdog is $2.58.

Measure of one exterior angle = 30 degree

Measure of one interior angle = 150 degree

In the given regular pentagon

Number of terms = 12

We know that,

Sum of all exterior angles = 360 degree

To find one exterior angle,

Divide the complete angle by number of terms

Therefore,

One exterior angle = 360/12  =  30 degree

Since,

Sum of all interior angles = 180 degree

And To find one interior angle,

subtract the interior  angle by one exterior angle

Therefore,

One exterior angle = 180 - 30  =  150 degree

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When t = 0, the value of n is approximately 3.93 million. The estimated number of people who moved to another state in 2005 is approximately 1.68 million. The predicted number of people who moved to another state in 2014 is approximately 6.81 million.

we need to substitute the given values of t (years since 1990) into the equation n = 0.03t² - 0.6t + 3.93. Let's calculate the values accordingly:

a. When t = 0 (which corresponds to the year 1990), we substitute this value into the equation:

n = 0.03(0)² - 0.6(0) + 3.93

n = 0 + 0 + 3.93

n ≈ 3.93

So, when t = 0, the value of n is approximately 3.93 million. In this context, it means that in the year 1990, around 3.93 million people moved to another state.

b. To estimate the number of people who moved to another state in 2005 (t = 2005 - 1990 = 15), we substitute this value into the equation:

n = 0.03(15)² - 0.6(15) + 3.93

n = 0.03(225) - 9 + 3.93

n = 6.75 - 9 + 3.93

n ≈ 1.68

Therefore, the estimated number of people who moved to another state in 2005 is approximately 1.68 million.

c. To predict the number of people who moved to another state in 2014 (t = 2014 - 1990 = 24), we substitute this value into the equation:

n = 0.03(24)² - 0.6(24) + 3.93

n = 0.03(576) - 14.4 + 3.93

n = 17.28 - 14.4 + 3.93

n ≈ 6.81

Hence, the predicted number of people who moved to another state in 2014 is approximately 6.81 million.

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The surface area of the prism given is 362 m².

Given is a prism.

We have to find the total surface area of the prism.

The given prism has to be divided in to various other known figures to find the total area.

By drawing a line vertically through the top of the prism, we get two rectangular prism.

Surface area of a rectangular prism = 2 [lw + wh + lh], where l, w and h are length, width and height respectively.

Surface area of big rectangular prism = 2[(6 × 6) + (6 × 7) + (6 × 7)]

                                                               = 240 m²

Surface area of smaller rectangular prism = 2[(3 × 4) + (4 × 7) + (3 × 7)]

                                                                      = 122 m²

Total area of the prism = 240 m² +  122 m²

                                      = 362 m²

Hence the surface area is 362 m².

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The equivalent value of the expression is A = ( -16y + 12 + 7 ) / 8x

Given data ,

Let the equation be represented as A

Now , the value of A is

A = -2y+ 3/2x + 7/4

On simplifying , we get

A = ( -4y + 3 )/2x + 7/4

Taking LCM on both sides , we get

A = ( -16y + 12 + 7 ) / 8x

Hence , the expression is A = ( -16y + 12 + 7 ) / 8x

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We can see here the proof of complex functions to geometry was contributed by the Norwegian mathematician Caspar Wessel.

A complex function is one that accepts a complex number as input and outputs another complex number. It is a function that, in other words, has the complex numbers as a codomain and a subset of the complex numbers as its domain.

Wessel demonstrated in his article that complex functions and complex numbers may both be used to represent curves and points in the plane. This research was a significant advancement in the field of complex analysis and opened the path for its growth into a potent instrument for addressing geometric problems.

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The mass of the 405 cm³ milk is 417.15 grams.

Density is simply  the mass of a substance per unit volume.

It is expressed mathematically as;

p = m / v

Where m is mass and v is volume.

Given that:

Density of the milk p =  1.03g/cm³

Volume of the milk v = 405 cm³

Mass m = ?

Plug the values into the above formula and solve for mass m.

p = m / v

m = pv

m = 1.03g/cm³ × 405 cm³

m = 417.15 g

Therefore, the value of the mass is 417.15 grams.

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Hello!

x = number of caps of Mel

36 - x = 2(12 + x)

36 - x = 24 + 2x

36 - 24 = 2x + x

12 = 3x

x = 12/3

x = 4

The answer is 4.

verification:

36 - 4 = 32

12 + 4 = 16

16 x 2 = 32 or 32/2 = 16

it's correct.

Answer:

50

Step-by-step explanation:

To solve this problem, we can use the following formula:

(amount of solution 1) + (amount of solution 2) = total amount of mixture

We can also set up equations for the amount of acid in each of the solutions:

0.25(amount of solution 1) + 0.65(amount of solution 2) = 0.4(total amount of mixture)

We have two equations and two unknowns, so we can solve for the amounts of each solution. Let's set x to be the amount of the 25% acid solution and y to be the amount of the 65% acid solution. Then we have:

x + y = 80                (equation 1)

0.25x + 0.65y = 0.4(80)   (equation 2)

We can simplify equation 2 by multiplying everything by 100, to get rid of the decimals:

25x + 65y = 3200

Now we can solve this system of equations. One way to do this is to solve equation 1 for one of the variables, and substitute it into equation 2. We get:

x = 80 - y

25(80 - y) + 65y = 3200

2000 - 25y + 65y = 3200

40y = 1200

y = 30

So we need 30 liters of the 65% acid solution. To find the amount of the 25% acid solution, we can substitute y = 30 into equation 1:

x + 30 = 80

x = 50

So we need 50 liters of the 25% acid solution. Therefore, we need 50 liters of the 25% acid solution and 30 liters of the 65% acid solution to produce 80 liters of a 40% acid solution.

The probability that the mean amount of cereal in 5 randomly selected boxes is at most 9.65 ounces is 0.4808.

The Central limit theorem is used to find the probability

Data given:

sample size = 5.

mean, μ = 9.70 ounces

standard deviation, σ = 0.03 ounce.

To calculate the probability, we determine the z-score corresponding to the sample mean of 9.65 ounces using the z-score formula.

x is the sample mean,

μ is the population mean,

σ is the population standard deviation, and

n is the sample size.

For the sample mean of 9.65 ounces in 5 boxes:

z = (9.65 - 9.70) / (0.03 / √5)

z ≈ -0.05 / (0.03 / √5)

Using a calculator, we find that the probability is approximately 0.4801.

Therefore, the probability that the mean amount of cereal in 5 randomly selected boxes is less than 9.65 ounces is approximately 0.4801.

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a. The standard deviation of the tuition is  $150.

b. The shape of this distribution is a normal distribution, which is a bell-shaped curve.

(a) The mean tuition is $100 per credit hour * 15 credit hours per semester + $150 lab fee = $1650 per semester.

The standard deviation of the tuition is l:

= ✓(100² + 150²) =

= ✓22500

= $150.

(b) The shape of this distribution is a normal distribution, which is a bell-shaped curve. The mean is the center of the distribution, and the standard deviation is the width of the distribution. The majority of the tuitions will be close to the mean, with fewer and fewer tuitions as you move further away from the mean.

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1. The area of the fort is 27 square feet.

2. No, Carlos was not correct

3.  The correct way to determine the area is to multiply the length and width, not add them. Carlos' mistake was in incorrectly calculating the area of the fort.

1. The area of the fort can be calculated by multiplying the length and width of the rectangle. In this case, the length is 6 feet and the width is 4.5 feet. Therefore, the area can be calculated as:

Area = Length × Width

= 6 feet × 4.5 feet

= 27 square feet

So, the area of the fort is 27 square feet.

2. No, Carlos was not correct. The actual area of the fort is 27 square feet, not 13.5 square feet as he determined.

3. Carlos made a mistake in his calculation. Instead of multiplying the length and width together, he likely mistakenly multiplied them as if he was finding the perimeter or added them together. The correct way to determine the area is to multiply the length and width, not add them. Carlos' mistake was in incorrectly calculating the area of the fort.

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A linear model that best fits the data include the following: D. y = -1.6881x + 92.571.

In this scenario, the time would be plotted on the x-axis (x-coordinate) of the scatter plot while the elevation of a snow boarder would be plotted on the y-axis (y-coordinate) of the scatter plot through the use of Microsoft Excel.

On the Microsoft Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display an equation for the line of best fit (trend line) on the scatter plot.

From the scatter plot (see attachment) which models the relationship between the time and the elevation of a snow boarder, an equation for the line of best fit is given by:

y = -1.6881x + 92.571

Next, we would substitute the x-values into the equation for the line of best fit as follows;

When x = 0, we have:

y = -1.6881(0) + 92.571

y = 92.571 ≈ 93.

When x = 5, we have:

y = -1.6881(5) + 92.571

y = 84.1305 ≈ 84.

When x = 10, we have:

y = -1.6881(10) + 92.571

y = 75.69 ≈ 76.

In conclusion, we can logically conclude that the slope of this graph (line) is negative because the line decreases downward, and this is best modeled by only this equation y = -1.6881x + 92.571.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

216.

Step-by-step explanation:

To solve this expression, you can first simplify the expression inside the parentheses:

45 - (25 + 8) = 45 - 33 = 12

Then you can substitute this simplified expression back into the original equation and multiply by 18:

(12) X 18 = 216

Answer:

1500

Step-by-step explanation:

Answer:

Step-by-step explanation:

slope intercept: y = mx + b

where m is the slope and b is the y-intercept

Equation: y = -3x + 4

Since y-intercept is given, then we have the first point of the line as (0,4)

Let's find the value of x when y is 0

y = -3x + 4

0 = -3x + 4

3x = 4

x = 4/3

(4/3,0) ---second point

Since there are two points/coordinates already then we can now plot/graph.

Answer:

x < 6

Step-by-step explanation:

3x < 18 ( divide both sides by 3 )

x < 6

Hello!

It's a division.

17  I  6

-12 I   2

  5

the dividende = 17

the divider = 6

the quotient = 2

the rest = 5

17 = 2 x 6 + 5

There are three dots above the greatest height.

We have,

The greatest height is 75

The smallest height is 62

Now,

We can make a line plot as:

*                                       *

*         *         *        *         *

*         *         *        *         *    

62     66     68     72     75

Thus,

There are three dots above the greatest height.

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The probability of picking an odd number and then picking an odd number when two cards are drawn without replacement from a set of four cards labeled 3, 4, 5 and 6 is 1/6 or approximately  1667/10000 .

The probability of picking an odd number and then picking an odd number when two cards are drawn without replacement from a set of four cards labeled 3, 4, 5 and 6 can be found by using conditional probability.

The probability of the first card being odd is 2/4 (since there are two odd numbers out of four cards). If the first card was odd and not replaced, the number of cards remaining is three, with only one odd card. Therefore, the probability of picking an odd number again is 1/3.

So, the probability of picking an odd number and then picking an odd number is the product of the probabilities of picking an odd number in the first draw and picking an odd number in the second draw, given that the first draw resulted in an odd number.

P(Odd, Odd) = P(Odd on the first draw) * P(Odd on the second draw given that the first draw was odd)

P(Odd, Odd) = (2/4) * (1/3)

P(Odd, Odd) = 2/12

P(Odd, Odd) = 1/6 or approximately 0.1667

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The graph of the function |x| + 1 < 3 is plotted and attached

The graph is an absolute value graph merged with inequality. hence the attributes of inequality which involves shading of the graph will be seen in the graph

To create a table of values for the inequality |x| + 1 < 3, we can evaluate the inequality for each value of x within that range.

For x = -2:

|(-2)| + 1 < 3

2 + 1 < 3

3 < 3

This inequality is not true for x = -2.

For x = -1:

|(-1)| + 1 < 3

1 + 1 < 3

2 < 3

This inequality is true for x = -1.

For x = 0

|(0)| + 1 < 3

0 + 1 < 3

1 < 3

This inequality is true for x = 0.

For x = 2:

|(2)| + 1 < 3

2 + 1 < 3

3 < 3

This inequality is not true for x = 2.

Therefore, the values of x  that satisfy the inequality |x| + 1 < 3 are: x = -1 and x = 0.

the graph is attached

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Given two points (7,-2) and (-3,-10), we can determine the slope of the line passing through them as follows:

slope = (y2 - y1) / (x2 - x1)

slope = (-10 - (-2)) / (-3 - 7)

slope = -8 / -10

slope = 4 / 5

Since we want a line perpendicular to this line, we need to find its negative reciprocal. The negative reciprocal of 4/5 is -5/4.

Now that we have the slope of the perpendicular line, we can use the point-slope form of a line to find its equation. The point-slope form is:

y - y1 = m(x - x1)

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

Using the point (-8,-12), we can substitute the values into the equation:

y - (-12) = -5/4(x - (-8))

y + 12 = -5/4(x + 8)

Simplifying, we get:

y + 12 = -5/4x - 10

y = -5/4x - 22

Therefore, the equation of the perpendicular line passing through the point (-8,-12) is y = -5/4x - 22 in point-slope form.

Answer:

79632 cu ft

Step-by-step explanation:

The volume of a rectangular prism is length x width x height. We are given the values 158 ft by 80 ft by 6.3 ft. All we do is multiply all 3 values by each other, (158)(80)(6.3). The answer after multiplying is 79632 cubic feet.

The probability that at least one barrel develops a leak over a 20-year period is approximately 0.1813 or 18.13%.

Since leaks in different barrels are independent, the probability that none of the 10,000 barrels develops a leak in a given year is:

0.99999¹⁰⁰⁰⁰ = 0.9048

Therefore, the probability that at least one barrel develops a leak in a given year is:

1 - 0.9048 = 0.0952

Now we can use the same approach to find the probability that no barrel develops a leak in 20 years:

0.99999²⁰⁰⁰⁰⁰ = 0.8187

Therefore, the probability that at least one barrel develops a leak over a 20-year period is:

1 - 0.8187 = 0.1813

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An equation relating to P to N include the following: P(N) = 16.75N - 650.

In Mathematics, profit is a measure of the amount of money generated when the selling price is deducted from the cost price of a good or service, which is usually provided by producers.

Mathematically, the amount of profit made from selling x number of books can be calculated by using the following function:

Profit made = Revenue earned – Cost of production (cost price)

P(N) = R(N) - C(N)

P(N) = 33.70N - (650 + 16.95N)

P(N) = 33.70N - 650 - 16.95N

P(N) = 16.75N - 650

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The perimeter of the square that is given in the diagram above would be = 96cm

To calculate the perimeter of a square, the formula for the perimeter of a square should be used and this is given below.

That is ;

perimeter = 4a

where ;

a = side length = 24cm

Perimeter = 4× 24 = 96cm

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