you have a cake that is 16 inches by 18 inches.you want each piece to be exactly the same size.how many people can u serve equal sized piece of cake

Answers

Answer 1

The number of people are 72.

What is HCF?

Highest Common Factor is the full name for HCF in mathematics.

According to the laws of mathematics, the highest positive integer that divides two or more positive integers without leaving a residual is known as the greatest common divisor, or gcd.

What is LCM?

Least Common Multiple is the full name for LCM in mathematics.

LCM (a,b) in mathematics stands for the least common multiple, or LCM, of two numbers, such as a and b. The smallest or least positive integer that is divisible by both a and b is known as the LCM.

We need to know the size of the pieces in order to calculate how many people can be fed equal-sized pieces of cake from a 16 by 18-inch cake.

Assume that each piece is a square with sides measuring "x" in length. Each piece's area would be x², and the cake's overall area would be 16 x 18 inches, or 288 square inches.

We must divide the entire area of the cake by the area of each piece to determine the maximum number of pieces that can be cut from the cake:

288 / x² = (16*18) / x² = 288 / x²

Choosing a "x" value that evenly splits into 16 and 18 is necessary if we want every piece to be the exact same size. Since 2 is the greatest possible value, we can divide the cake into 8 rows of 9 squares, yielding a total of 72 pieces.

As a result, a cake measuring 16 inches by 18 inches can be divided into 72 equal-sized pieces, each measuring 2 inches by 2 inches.

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Answer 2

We can serve 18 people equal-sized pieces of cake from a cake that is 16 inches by 18 inches, assuming each piece is a square and we want the pieces to be exactly the same size.

What is area?

A two-dimensional figure, form, or planar lamina's area is a measurement of how much space it takes up in the plane.

To find out how many people can be served equal-sized pieces of cake from a cake that is 16 inches by 18 inches, we need to first determine the size of each piece of cake.

The total area of the cake is:

16 inches x 18 inches = 288 square inches

To divide the cake into equal-sized pieces, we need to determine the size of each piece. Let's assume we want each piece to be a square. To find the size of each square, we need to find the square root of the total area of the cake:

√(288 square inches) ≈ 16.97 inches

Since we want the pieces to be exactly the same size, we'll round down to the nearest inch, which gives us:

Each piece of cake will be approximately 16 inches by 16 inches.

To find out how many people can be served equal-sized pieces of cake, we need to divide the total area of the cake by the area of each piece:

288 square inches ÷ (16 inches x 16 inches) = 18

Therefore, we can serve 18 people equal-sized pieces of cake from a cake that is 16 inches by 18 inches, assuming each piece is a square and we want the pieces to be exactly the same size.

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Related Questions

Find the marginal revenue curve under monopoly market. 1. When the demand curve is P = -5Q + 25, the Marginal Revenue curve is MR = Q+ 2. When the demand curve is P = -0.5Q + 12, the Marginal Revenue curve is MR = Q +

Answers

The marginal revenue curves for the given demand curves are: MR = -0.5  Q + 12 In a monopoly market, the marginal revenue curve is always below the demand curve. This is because a monopolist can only increase their revenue by decreasing the price of their product, and therefore they must lower the price for all units sold, not just the last one.

For the first demand curve, P = -5Q + 25, the marginal revenue curve can be found by taking the derivative of the demand curve with respect to Q. This gives us:

MR = dP/d Q = -5

So the marginal revenue curve is a horizontal line at MR = -5. Adding the intercept of the demand curve at P = 25, we get:

MR = -5Q + 25

For the second demand curve, P = -0.5Q + 12, the marginal revenue curve can be found in the same way:

MR = dP/dQ = -0.5

So the marginal revenue curve is a horizontal line at MR = -0.5. Adding the intercept of the demand curve at P = 12, we get:

MR = -0.5Q + 12

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For a trip of x​ miles, a taxi company charges ​f(x)=2. 20+0. 6[4x] dollars A. ) What is the cost of a 2. 7-mile trip?

Answers

If a taxi company charges ​f(x)=2. 20+0. 6[4x] dollars, the cost of a 2.7-mile trip is $8.68.

To find the cost of a 2.7-mile trip using the given function f(x) = 2.20 + 0.6[4x], we substitute x = 2.7 in the function.

f(2.7) = 2.20 + 0.6[4(2.7)]

f(2.7) = 2.20 + 0.6[10.8]

f(2.7) = 2.20 + 6.48

f(2.7) = 8.68

The function f(x) = 2.20 + 0.6[4x] represents the cost of a taxi ride based on the distance traveled. The first term 2.20 represents the base fare, which is added to the cost regardless of the distance.

The second term 0.6[4x] represents the variable cost, which is calculated by multiplying the distance traveled by 4 and then by 0.6. This function helps the customers to calculate their fare in advance and plan their expenses accordingly.

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Where will the parabola intersect the​ line? What equation did you solve to find the​ intersection? Question content area bottom
Part 1 Use the equation to find the intersection.
The parabola will intersect the line at____enter your response here.

Answers

From the graph of the parabola, line, and the given values we found out that the parabola will intersect the line at coordinates ([tex]2\sqrt{14}[/tex],7).

What is a parabola and how do we obtain the equations of the same?A parabola is a type of curve that can be described as a symmetrical U-shape. The generalized equation of a parabola is [tex]y=ax^{2} +bx+c[/tex], where a, b, and c are constant values.This equation represents a vertical parabola with its vertex at the point [tex](-b/2a, c - b^2/4a)[/tex] and an axis of symmetry that is parallel to the y-axis.This equation represents a parabola that opens to the right or left, with its vertex at the point [tex](c - b^2/4a, -b/2a)[/tex] and an axis of symmetry that is parallel to the x-axis. The specific coefficients in the equation depend on the particular characteristics of the parabola, such as its vertex, axis of symmetry, and whether it opens up or down or left or right.

As the parabola is originating from the origin and opens at the y-axis, hence:

Equation of parabola = [tex]x^{2} =4ay[/tex] {where a =2} .....................(1)Equation of the line=[tex]y-7=0[/tex].............................................(2)From equation 2 we obtain y=7 and will put this value in 1.After computing the above values in 1 we get: [tex]x^{2} =4*2*7\\x=\sqrt{4*2*7}\\ x=2\sqrt{14}[/tex]  and y=7So the coordinates at which the parabola intersects the line is  [tex](2\sqrt{14} ,7)[/tex]

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please solve and explain

Answers

The length of curve DE is equal to 26.25 units.

What is Pythagorean theorem?

In Mathematics and Geometry, Pythagorean's theorem is modeled by the following mathematical expression:

x² + y² = z²

Where:

x, y, and z represents the length of sides or side lengths of any right-angled triangle.

In order to determine the length of the hypotenuse in this right-angled triangle, we would have to apply Pythagorean's theorem as follows;

AC² + BC² = AB²

20² + 15² = AB²

AB² = 400 + 225

AB = √625

AB = 25 units.

For the length of curve DE, we have:

DE = 105% of AB

DE = 1.05 × 25

DE = 26.25 units.

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According to the U. S. Bureau of the Census, in 2000 there were 35. 3 million residents of Hispanic origin living in the United States. By 2010, the number had increased to 50. 5 million. The exponential growth function A = 35. 3ekt describes the U. S. Hispanic population, A, in millions, t years after 2000. A. Find k, correct to three decimals places. B. Use the resulting model to project the Hispanic resident in population in 2015. C. In which year will the Hispanic resident population reach 70 million?

Answers

The value of k is approximately 0.034. The projected Hispanic resident population in 2015 is approximately 73.9 million. The Hispanic resident population will reach 70 million in approximately 24.7 years after 2000, which corresponds to the year 2024.

To find k, we can use the fact that A = 35.3 million when t = 0 (i.e., in 2000), and A = 50.5 million when t = 10 (i.e., in 2010). Substituting these values into the exponential growth function, we get

35.3 = 35.3e^0k

50.5 = 35.3e^(10k)

Dividing the second equation by the first equation, we get

50.5/35.3 = e^(10k)

Taking the natural logarithm of both sides, we get

ln(50.5/35.3) = 10k

Solving for k, we get

k ≈ 0.034

Therefore, the exponential growth function is A = 35.3e^(0.034t).

To project the Hispanic resident population in 2015, we need to find A when t = 15 (i.e., 15 years after 2000). Substituting t = 15 into the exponential growth function, we get

A = 35.3e^(0.034*15) ≈ 73.9 million

Therefore, the projected Hispanic resident population in 2015 is approximately 73.9 million.

To find the year in which the Hispanic resident population reaches 70 million, we need to solve the exponential growth function for t when A = 70. Substituting A = 70 into the exponential growth function, we get

70 = 35.3e^(0.034t)

Dividing both sides by 35.3, we get

e^(0.034t) = 70/35.3

Taking the natural logarithm of both sides, we get

0.034t = ln(70/35.3)

Solving for t, we get

t ≈ 24.7

Therefore, the Hispanic resident population will reach 70 million in approximately 24.7 years after 2000, which corresponds to the year 2024.

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A 4-cup bottle of soda costs $6.80. What is the price per pint?

Answers

Answer: $0.85

:)

hope this hellps

Answer:

$3.40 per pint

Step-by-step explanation:

4 cups is equal to 2 pints, as there are 4 cups in 2 pints.

So let's set up an equation:

6.80/2

3.40

in a specific city there are 1350 people per square mile the city is shaped like a rectangle has a length of 12 miles and a width of eight what is the population of the city?

Answers

To find the population of the city, we need to find the total number of people living in the city. We know that there are 1350 people per square mile, so we can find the total number of people by multiplying the number of square miles in the city by the number of people per square mile.

The area of the city is the length times the width, so:

Area = Length x Width

Area = 12 miles x 8 miles

Area = 96 square miles

Now, we can find the population by multiplying the area by the number of people per square mile:

Population = Area x People per square mile

Population = 96 square miles x 1350 people per square mile

Population = 129,600 people

Therefore, the population of the city is 129,600 people.

Hope this helps!

What is the first step in constructing a circumscribed circle around triangle XYZ? Construct a line parallel to segment YZ. Construct the perpendicular bisector of segment XY. Construct a copy of angle X. Construct the angle bisector of angle Y.

Answers

Answer:  Construct the perpendicular bisector of segment XY

Step-by-step explanation:

Construct the perpendicular bisector of segment XYI am pretty sure this is the answer. I assume you r taking flvs just like me. this is the answer because to construct a circumscribed circle u will need to draw a perpendicular bisector to the sides of the polygon. Which o think is the first step.

Jayla's math certificate is 19 centimeters tall and 29 centimeters wide. Jayla wants to put the certificate in a fancy frame that costs $0.03 per centimeter. How much will it cost to frame Jayla's math certificate?

Answers

Answer: It will cost $2.88 to frame Jayla's math certificate with the fancy frame.

Step-by-step explanation: To calculate the cost of framing Jayla's math certificate, we need to determine the perimeter of the certificate, which is the sum of the lengths of all four sides.

Perimeter = 2 × (height + width)

Perimeter = 2 × (19 + 29)

Perimeter = 2 × 48

Perimeter = 96 centimeters

So the perimeter of the certificate is 96 centimeters.

To find the cost of framing, we need to multiply the perimeter by the cost per centimeter of the fancy frame:

Cost = perimeter × cost per centimeter

Cost = 96 × $0.03

Cost = $2.88

Therefore, it will cost $2.88 to frame Jayla's math certificate with the fancy frame.

Im stuck on this question
An image of a right rectangular prism is shown. A rectangular prism with dimensions of 4.5 centimeters by 6 centimeters by 4 centimeters. What is the surface area of the prism? 138 cm2 169 cm2 31 cm2 69 cm2

Answers

The prism's surface area is 138 [tex]cm^{2}[/tex]. As a result, option (a) is correct.

What is the meaning of surface area?

A three-dimensional object's surface area is the sum of all its faces.

The formula for the surface area of a right rectangular prism is:

surface area = 2lw + 2lh + 2wh

where l, w, and h are the prism's length, breadth, and height, respectively.

When we substitute the provided values, we get:

Surface Area = 2(4.5)(6) + 2(4.5)(4) + 2(6)(4)

Surface Area = 54 + 36 + 48

surface area = 138 [tex]cm^{2}[/tex]

As a result, the prism's surface area is 138 [tex]cm^{2}[/tex]. As a result, option (a) is correct.

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A pitcher contains 3 quarts of iced
tea. John is going to pour the iced tea
into glasses that each hold 1½ cups.
How many glasses will John fill?

Answers

John will be able to fill 8 glasses with iced tea.

How many cups are in 3 quarts of iced tea?

To convert quarts to cups, we need to multiply the number of quarts by 4, since 1 quart is equal to 4 cups. So, 3 quarts of iced tea is equivalent to 3 x 4 = 12 cups of iced tea.

Since each glass holds 1½ cups of iced tea, John will need to divide the total cups of iced tea by the capacity of each glass: 12 cups / 1.5 cups/glass = 8 glasses.

Therefore, John will fill 8 glasses with iced tea.

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PLEASE HELP MY MOMS GONNA KICK MT BUTT AND I JUST DONT GET THIS!!!Add.
(2h + 8) + (9h² + 2h)

Answers

Remove parentheses 2h+2h=4h since no other like terms the expression is 4h+9h^2+8

Last week, Austin's Diner sold 2 milkshakes with whipped cream on top and 23 milkshakes without whipped cream. What percentage of the milkshakes had whipped cream?

Answers

Answer:

  8%

Step-by-step explanation:

You want to know what percentage of milkshakes had whipped cream if 2 had whipped cream and 23 didn't.

Percentage

The fraction of the total number that had whipped cream is ...

  2/(2+23) = 2/25

The percentage is found by multiplying the fraction by 100%:

  2/25 × 100% = 8%

8% of the milkshakes had whipped cream.

how do I do 3 + 2n = 7

Answers

3+2n=7
2n=7-3
2n=4
N=2

In the given equation which is 3 + 2n = 7, the value of n = 2.

For, further explanation to find the value of the variable in the given equation, we can solve the given equation by transferring the non-variable digits to one side either to L.H.S or R.H.S.

Given equation = 2n + 3 =7

In the above equation, the variable is 'n' and the non-variable digits are '3' and '7'. To find the value of 'n', we can transfer the non-variable digits to the R.H.S (Right Hand Side) as shown below:

2n + 3 = 7

2n = 7 - 3

2n = 4

n = [tex]\frac{4}{2}[/tex]

n = 2.

So, from the above solution the value of 'n' is 2.

Given question is incomplete/incorrect, I assume the given question was to "obtain the value of n from the linear equation 3 + 2n = 7"

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answer correctly
Spirit​

Answers

The coordinates of point P are (6.4, 18, -12).

What is the coordinate of point?

A coordinate of a point refers to a set of values that specify the position of that point in a particular reference system or coordinate system. Coordinates are used to uniquely identify the location of a point in a geometric space, such as a plane or a three-dimensional space.

According to the given information:

To find the coordinates of point P, we can use the concept of vector comparison. We are given that the ratio of vector AB to vector AP is 6:4.

Let's denote the coordinates of point P as (x, y, z).

Given:

AB vector = (10, 2, -6)

B coordinates = (4, 6, -8)

AB:AP = 6:4

We can calculate the coordinates of point P as follows:

Since AB:AP = 6:4, we can express this as a vector equation:

(10, 2, -6) / (x - 4, y - 6, z + 8) = 6/4

Now we can cross-multiply to get:

10 / (x - 4) = 6/4

2 / (y - 6) = 6/4

-6 / (z + 8) = 6/4

Simplifying further, we have:

10(x - 4) = 6 * 4

2(y - 6) = 6 * 4

-6(z + 8) = 6 * 4

Expanding the equations, we get:

10x - 40 = 24

2y - 12 = 24

-6z - 48 = 24

Solving these equations, we get:

10x = 64

2y = 36

-6z = 72

Dividing by the respective coefficients, we get:

x = 6.4

y = 18

z = -12

So, the coordinates of point P are (6.4, 18, -12).

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. While shopping, Sofia finds a dress she likes at a discounted price. The price on the tag before the discount is p dollars. She must pay sales tax on the discounted price of the dress. Sofia calculates that she must pay p-0.15p+ 0.07(0.85p) to buy the dress. What does 0.85p represent?​

Answers

The 0.85p in the expression represents the price of the dress after removing the discount

What does 0.85p represent in the equation?​

From the question, we have the following parameters that can be used in our computation:

Sofia calculates that she must pay the following to buy the dress

p - 0.15p + 0.07(0.85p)

The 0.85p in the expression represents the price of the dress after removing the discount

Hence, 0.85 is the discounted price

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MAKE THE FOLLOWING STATEMENTS ABOUT EXPONENTS TRUE.
--- When multiplying polynomials with the same base,
[Select]
the coefficients.
---
When dividing polynomials with the same base, [Select]
[Select]
[Select]
✓the coefficients.
--- When raising a power to a power, distribute the exponent by [Select]
and applying the exponent to the coefficient.
--- When raising anything to the Zero power, the answer will be [Select]
-- When raising anything to the 1st power, the answer will be [Select]
exponents and
exponents and
exponents
--- When trying to leave a variable without a negative exponent, you should flip the position of the variable
to the reciprocal and [Select]
✓the negative exponent.

Answers

200!!! because it is 200

Samuel is folding his laundry. The table shows the proportional relationship between the number of shirts he folds and the time, in minutes, it takes him to fold them.


Number of Shirts 2 4 ?
Time (minutes) 0.4 0.8 3


How many shirts can Samuel fold in 3 minutes?
21 shirts
15 shirts
8 shirts
6 shirts

Answers

I’d say 30 shirts.

Step-by-step explanation:

 30 seconds = 3 shirts 1 minute 30 seconds = 9 shirts 30 seconds per each 3 shirts.

shirts:      3, 6, 9, 12, 15, 18, 21, 24, 27, 30minutes: .5, 1, 1.5, 2, 2.5, 3, 3.5, 4, 4.5, 5

Answer:

15 (B).

Step-by-step explanation:

I took the test.

Given that event E has a probability of 0.31, the probability of the complement of event E

Answers

Answer:  0.69

Explanation: We subtract the given value from 1

1-0.31 = 0.69

The complement of an event is the complete opposite.

Example: heads vs tails

a jet tank is in the shape of a rectangular prism. The tank is 18 inches wide, 12 inches deep and 23 inches tall How many squares inches of glass was used to make the tank if there is no top.

Answers

The tank used 3,528 square inches of glass to make, assuming that there is no overlap or waste in the glass cutting process.

The tank has four vertical rectangular sides, a bottom, and no top. Since there is no top, we do not need to include the area of any glass for the top of the tank.

The area of each rectangular side is given by multiplying the height by the width. The area of the bottom is given by multiplying the length by the width. Therefore, the total area of glass used to make the tank is:

Area = 2(height x width) + 2(height x length) + (length x width)

Substituting the given values, we get:

Area = 2(23 x 18) + 2(23 x 12) + (18 x 12)

Area = 1,656 + 1,656 + 216

Area = 3,528

Therefore, the tank used 3,528 square inches of glass to make, assuming that there is no overlap or waste in the glass-cutting process.

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HELP PLEASE !!!!!
Subtract.
(9w² + 3w) - (6w² + w)

Answers

Answer:

3w²+2w

Step-by-step explanation:

(9w² +3w)-(6w²+w)

=9w²+3w-6w²-w

collecting like terms

=9w²-6w²+3w-w

=3w²+2w

=w(2+3w)

A packet of chips cost $9.99 if the price decreases by 12% what will the new price be

Answers

If the price of the packet of chips decreases by 12%, the new price will be:

New price = $9.99 - (12/100) x $9.99

New price = $9.99 - $1.199

New price = $8.791

Therefore, the new price of the packet of chips will be $8.791.

apply the half-angle identities for sine and cosine to rewrite or evaluate the following expression.
[tex]tan(\frac{11\pi}{12} )[/tex]

Answers

Answer: We can use the halfangle formula for the tangent to answer this question. Using this formula we get that [tex]$\tan\left(\frac{11\pi}{12}\right) = \sqrt{3} - 2[/tex].

Step by Step Explanation:  The half angle formula for tangent is [tex]$\tan\left(\frac{A}{2}\right) = \frac{\sin(A)}{1+\cos(A)}[/tex]  . So

[tex]$\tan\left(\frac{11\pi}{12}\right)[/tex]

[tex]$= \frac{\sin(\frac{11\pi}{6})}{1+\cos(\frac{11\pi}{6})}[/tex]

[tex]$= \frac{\sin(2\pi - \frac{\pi}{6})}{1+\cos(2\pi - \frac{\pi}{6})}[/tex]

[tex]$ = \frac{-\sin(\frac{\pi}{6})}{1+\cos(\frac{\pi}{6})}[/tex]

[tex]$= \frac{-1/2}{1 + \sqrt{3}/2}[/tex]

[tex]$= -\frac{1}{2+\sqrt{3}}[/tex]

 [tex]$= - \frac{2-\sqrt{3}}{(2+\sqrt{3})(2-\sqrt{3})}[/tex]

[tex]= - \frac{2 -\sqrt{3}}{4-3}}[/tex]

[tex]= \sqrt{3} -2[/tex]

What are the half angle identities

These are some of the common halfangle identities:

[tex]\cos(A/2) = \sqrt{\frac{1+\cos(A)}{2}[/tex]

[tex]\sin(A/2) = \sqrt{\frac{1-\cos(A)}{2}[/tex]

[tex]\tan(A/2) = \frac{\sin(A)}{1+\cos(A)} = \frac{1 - \cos(A)}{\sin(A)}[/tex]

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Convert the rectangular coordinates (-3√3, 0) into polar form. Express the angle
using radians in terms of over the interval 0 ≤ 0 < 27, with a positive value of r.

Answers

The polar form of the rectangular coordinates (-3√3, 0) is r = 3√3 and θ = 0

To convert the rectangular coordinates (-3√3, 0) into polar form, we can use the following equations:

r = √(x² + y²)

θ = tan⁻¹(y/x)

In this case, x = -3√3 and y = 0, so we have:

r = √((-3√3)² + 0²) = 3√3

θ = tan⁻¹(0/(-3√3)) = tan⁻¹(0) = 0

Since the angle is given in radians over the interval 0 ≤ θ < 2π (which is equivalent to 0 ≤ θ < 6.28318), we need to add 2π to θ if it is negative, to ensure that θ is in the specified interval.

However, in this case, θ is already equal to 0, which is within the specified interval.

Therefore, the polar form of the rectangular coordinates (-3√3, 0) is:

r = 3√3

θ = 0 (in radians, over the interval 0 ≤ θ < 2π)

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HELP PLEASE I NEED THIS DONE ASAP

Answers

Answer:5

Step-by-step explanation:

it would be 5 because

In this polygon, all angles are right angles.
What is the area of the polygon? Show your work.

Answers

The area of the polygon is solved to be  1044 squared cm

How to find the are of the c]polygon

The area of the composite polygon is solved by dividing the object into two sections. Then adding up the areas

Section 1 has dimensions:

length * width = 46 * 14 = 644

section 2 has dimensions:

length = 46 - 21 = 25

width = 30 - 14 = 16

Area = 25 * 16 = 400

Area of the composite figure

section 1  + section 2

= 644 + 400

= 1044 squared cm

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Stu hiked a trail at an average rate of 3 miles per hour. He ran back on the same trail at an average rate of 5 miles per hour. He traveled for a total of 3 hours.

The equation 3t = 5(3 – t) can be used to find the time it took Stu to hike one way.

How long did it take Stu to hike the trail one way?


hours

How long is the trail?


miles

What is the total distance Stu traveled?


miles

Answers

To find the time it took Stu to hike the trail one way, we can use the equation given:

3t = 5(3 - t)

Expanding the right side, we get:

3t = 15 - 5t

Adding 5t to both sides, we get:

8t = 15

Dividing both sides by 8, we get:

t = 15/8 = 1.875 hours

Therefore, it took Stu 1.875 hours to hike the trail one way.

To find the length of the trail, we can use the formula:

distance = rate x time

When hiking, Stu traveled at a rate of 3 miles per hour, so the distance he covered in one way is:

distance = 3 x 1.875 = 5.625 miles

Since Stu hiked the trail one way and then ran back on the same trail, the total length of the trail is twice the distance he covered in one way:

total distance = 2 x 5.625 = 11.25 miles

Therefore, the trail is 11.25 miles long.

To find the total distance Stu traveled, we can add the distance he covered while hiking to the distance he covered while running back:

total distance = 5.625 + 5.625 = 11.25 miles

Therefore, Stu traveled a total distance of 11.25 miles.

A circle has a diameter of 28 centimeters.
Estimate the area of the circle. Use
3.14
or
22
7
for
π
.




What is the volume of the rectangular prism?
A rectangular prism has a length of 10.4 millimeters, a width of 5 millimeters, and a height of 8 millimeters.

Answers

The area of the given circle is 616 sq.cm.

The volume of rectangular prism is 416 mm³

What is a circle?

A circle is a particular type of ellipse when the eccentricity is zero and both foci are present. The locus of points drawn equally apart from the centre is also referred to as a circle. The radius of a circle is the separation between its centre and its periphery. The circle's diameter, which is equal to twice its radius, is the line that splits the circle into two equal pieces.

What is area of circle?

Area of a circle is the region occupied by the circle in a two-dimensional plane. It can be determined easily using a formula, A = πr2, (Pi r-squared) where r is the radius of the circle. The unit of area is the square unit, such as m², cm², etc.

Area of Circle = πr² or πd²/4, square units

where π = 22/7 or 3.14

according to question,

Area = pi times the radius squared

A = pi * r²

A = 22/7 * 14²

A = 22/7 * 196

A = 4,312 / 7

A = 616 sq. cm.

V = l*w*h

To determine the volume, multiply all three dimensions together.

For Connexus users Rectangular prisms and volume quiz part 2:

l * w * h = 8 * 5 * 10.4 = 416

the volume of rectangular prism is 416 mm³

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of 100 patients selected at random from a clinic, 33 were found to have high blood pressure. construct a 95% confidence interval for the percentage of all patients at this clinic that have high blood pressure.

Answers

We can say with 95% certainty that the genuine rate of all patients at this clinic who have high blood pressure is between 24% and 42%. 

To develop a 95% certainty interim for the rate of all patients at this clinic that have tall blood weight, we will utilize the equation:

CI = p ± z*(p*(1-p)/n))

where p is the sampling extent, z is the z-score related to the required certainty level (in this case, 1.96 for 95% certainty), and n is the test measure.

We are given that out of a test of 100 patients, 33 have high blood weight. In this manner, the test extent is:

p = 33/100 = 0.33

Utilizing the equation over, we will calculate the edge of the mistake:

Arduino

ME = z*(p*(1-p)/n)) = 1.96*(0.33*(1-0.33)/100)) ≈ 0.09

At that point, we are able to develop the 95% certainty interim:

CI = p ± ME = 0.33 ± 0.09 = (0.24, 0.42)

Hence, able to say with 95% certainty that the genuine rate of all patients at this clinic who have high blood weight is between 24% and 42%. 

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A cylindrical can holds three balls. The balls touch the top, bottom and sides of the can. The radius of one ball is 6 cm. Find the volume of the remaining space inside the cylinder. Use 3.14 for π. please someone help me.

Answers

Answer:

16286.01632

Step-by-step explanation:

V=πr2h=π·122·36≈16286.01632

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