Does it make sense to discuss the similitude between 2 rombii, 2 squares, 2 rectangles, 2 parralelegrams, and 2 conguent polygons

A total of 7 Cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

A line plot is drawn with the cyclists' names plotted on the x-axis and their corresponding distances covered plotted on the y-axis.

The dots are then joined to form a line, revealing the relationship between the cyclist's names and their corresponding distance traveled. The cyclist names and their corresponding distances are given in the table below.

Name Distance (in miles) Gina 40 1/2 Rey 50 Faye 35 3/4 Mark 60 John 45 1/2 James 40 1/2 Albert 40 1/4 William 54 1/4 Nathan 40 Kate 40 1/4 Mary 60 Risa 40 Abi 35 3/4 Joan 50 1/2 1. The number of cyclists is 14. 2. The longest distance covered by a cyclist is 60 miles.

Mary and Mark both covered this distance.3. A total of 7 cyclists traveled less than 50 miles. 4. The most common distance traveled by cyclists is 40 1/2 miles. Gina, James, and Albert covered this distance. 5. 2 more cyclists traveled 45 miles than 55 1/4 miles. Only William traveled 55 1/4 miles, while John and James both traveled 45 1/2 miles.6.

A total of 7 cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

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No, his answer is not correct because each of the smaller divisions represents 1/6, not 3.

Mark's answer is not correct.

When dividing a number line into equal sections, the value of each section represents a fraction of the whole.

In this case, Mark divided the number line from 0 to 1 into 3 equal sections and then divided each of those sections into 2 equal parts.

Initially, the whole number line from 0 to 1 represents the number 1. When Mark divided it into 3 equal sections, each section represents 1/3 (one-third) of the whole.

So far, this is correct.

However, when Mark further divided each of the 1/3 sections into 2 equal parts, each part represents 1/2 (one-half) of the 1/3 section.

So, each of these smaller divisions represents 1/2 \(\times\) 1/3 = 1/6 (one-sixth) of the whole.

Therefore, the correct representation of each of the smaller divisions is 1/6, not 3.

Mark made an error by mistakenly assuming that each smaller division represents the number 3.

In summary, Mark's answer of 3 is incorrect because each of the smaller divisions represents 1/6, not 3.

The correct representation for dividing the number line as described is 1/6.

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Answer:

Hey you didn't add enough information to answer the question, maybe add some more? Also for this question it will probably be a multiplication or division. Sorry I couldn't help more :)

Step-by-step explanation:

then with the Pythagorean theorem we find the diagonal

answer: the length of the diagonal is 8.5 ft

Answer:

Starting price is $50.70.

Next day the price is $50.70 + $17.75 = $68.45

This price then changed by: \(-3\frac{3}{4}\%=-3.75\%\).

So in order to calculate that we do: \(68.45 - (3.75/100*68.45)=65.883125 =\$65.88\)

Therefore final price is $65.88.

Yes, this is reasonable.

Answer:

2cm

Step-by-step explanation:

h=v/(l)w

h=24/(6)2

h=24/12

h=2cm or 2cm²

Answer:

k = 8

Step-by-step explanation:

We know that 8(10-k) = 2k so:

8(10−k)=2k

Simplify both sides of the equation:

8(10−k)=2k

(8)(10)+(8)(−k)=2k

80+−8k=2k

−8k+80=2k

Subtract 2k from both sides:

−8k+80−2k=2k−2k

−10k+80=0

Subtract 80 from both sides:

−10k+80−80=0−80

−10k=−80

Divide both sides by -10:

\(\frac{-10k}{-10} =\frac{-80}{-10}\)

k = 8

52s is the maximum time that she can take on her last lap and still make the team.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given that he mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s).

The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.

We need to find the maximum time (in seconds) that she can take on her last lap and still make the team

Let x be the maximum time (in seconds) that she can take on her last lap

60=(63+62+65+58+x)/5

300=63+62+65+58+x

300=248+x

Subtract 248 on both sides

300-248=x

x=52s

Hence, 52s is the maximum time that she can take on her last lap and still make the team.

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Sarah requires the purchase of additional 12 tickets to ensure her participation in the seven activities at the fair.

The additional tickets required by Sarah can be determined as follows:

Number of tickets purchased initially = 15

Number of tickets for playing a game = 3

Number of tickets for riding a ride = 6

Sarah can play five (5) games with 15 tickets (15/3).

Sarah can then purchase 12 additional tickets (6 x 2).

The later action enables Sarah to participate in 5 games and 2 rides, making it a total of 7 activities.

Thus, by purchasing additional 12 tickets, Sarah can participate in 5 games and 2 rides, making it a total of 7 activities.

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How many more tickets does Sarah require to ensure her participation in the seven activities at the fair?

The surface areas of the figures are 336, 82 and 836

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

The figures

For the triangular prism, we have

Surface area = 2 * 1/2 * 6 * 8 + 12 * 10 + 8 * 12 + 6 * 12

Surface area = 336

For the rectangular prism, we have

Surface area = 2 * (7 * 3 + 3 * 2 + 2 * 7)

Surface area = 82

For the cylinder, we have

Surface area = 2π * 7 * (7 + 12)

Surface area = 836

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The surface area of the prisms are

1. 336 cm²

2. 82 m²

3. 836 cm²

The area occupied by a three-dimensional object by its outer surface is called the surface area.

A prism is a solid shape that is bound on all its sides by plane faces.

The surface area of prism is expressed as;

SA = 2B +pH

where B is the base area , p is the perimeter and h is the height.

1. SA = 2B +ph

B = 1/2 × 6 × 8

= 24 m²

p = 6+8+10 = 24m

h = 12m

SA = 2 × 24 + 24 × 12

= 48 + 288

= 336 cm²

2. SA = 2( 3× 2) + 3× 7)+ 2 × 7)

= 2( 6+21+14)

= 2( 41)

= 82 m²

3. SA = 2πr( r +h)

= 2 × 3.14 × 7( 7 + 12)

= 44( 19)

= 836 cm²

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The number of reserved seats and the number of general seats, if The cost for general admission = $3.50, The cost for a reserved seat = $7, is 382 and 622 respectively.

The equals sign is used in equations to indicate the equality of two expressions in a formula. Equation: A statement that two variable or integer expressions are equal.

Given:

The cost for general admission = $3.50,

The cost for a reserved seat = $7,

The total cost = $4851.00

The total seat = 1004

Write the equation as shown below,

x + y = 1004  (Here, y is the number of a reserved seat and x is the number of a general seat)

3.5x + 7y = 4851

Solve the equations by using the elimination method,

y = 382, x = 1004 - 382 = 622

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162

Step-by-step explanation:

(12 square - 15 + 17) + 16

=(144 - 15 + 17) + 16

=146 + 16

=162

Answer:

29.25 miles

Step-by-step explanation:

We can use a ratio to solve

1 inch            2.5 inches

------------  = ----------------

11.7 miles         x miles

Using cross products

1 * x = 11.7 * 2.5

x =29.25

Answer:

1/27 in^3.

Step-by-step explanation:

1/3 * 1/3 * 1/3

Answer: 61

Step-by-step explanation:

In linear equation, 187 tickets do they need to sell.

What is a linear equation ?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.        

                                           The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables." This is the basis for its designation as a "linear equation."

The drama club wants to raise at least $1500. They have already received donations of $565 so the amount left till target is:

= 1500 - 565

= $935

Tickets are being sold at $5 so the number of tickets needed to get to $935 is

= 935/5

= 187 tickets

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A repeating decimal is acceptable to use during calculations when you require a certain level of precision

A repeating decimal is acceptable to use during calculations when you require a certain level of precision, but it's important to keep in mind that the result will be an approximation rather than an exact value.

It is commonly used in situations where a rounded value is sufficient and the level of precision doesn't significantly impact the final result.

On the other hand, you should convert a repeating decimal to a fraction for calculations when you need an exact value or when further mathematical operations or comparisons are required.

Converting a repeating decimal to a fraction allows for precise calculations and eliminates any potential rounding errors associated with working with decimal approximations.

Converting a repeating decimal to a fraction involves identifying the repeating pattern and expressing it as a fraction. This allows for exact calculations and maintains the mathematical properties of fractions.

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Answer: 3.03

Step-by-step explanation: divide both sides by 2000 which is x - 0.03 = 3. Then add 0.03 to both sides which is x = 3.03.

The expression gives the distance between the points (4, 6) and (7,-3) is \(\sqrt{( 4- 7)^{2} +( 6+3})^{2} }\).

The correct option is Option C.

Given:

The points are  (4, 6) and (7, -3) respectively.

Put points in the formula:

\(\sqrt{( x_{2}- x_{1})^{2} +( y_{2}- y_{1})^{2} }\)

\(\sqrt{( 4- 7)^{2} +( 6- (-3))^{2} }\)

\(\sqrt{( 4- 7)^{2} +( 6+3)^{2} }\) , which is the required expression.

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Answer:

Slop is 3/4

Step-by-step explanation:

3x - 4y - 16 = 0

- 4y = -3 x + 16

y= ( -3 / -4 ) x + 16 / ( -4 )

y= (3/4) x - 4

first car is x

second car is y

25x+30y=1550

x+y=55

Multiply the second equation by -25 for elimination method to cancel out x

-25x-25y=-1375

Add the two equations

5y=175

y=35

Plug this value into the second equation

x+35=55

x=20

Final answers:

First car=20 gallons

Second car=35 gallons

Answer:

x=4, y=9/7

Step-by-step explanation:

We will use the property that the opposite sides of a rectangle are equal

3(3y-1)=2(y+3)

9y-3=2y+6

7y=9

y=9/7

2x=4(x-2)

2x=4x-8

2x=8

x=4

Answer:

Volume: x(x+6)(x+2) Area: \(x^{2}\) + 8x +12

Step-by-step explanation:

Volume Explanation:

To find the volume of a 3d figure, we must multiply the length, width, and the height. Therefore we multiply (x)(x+6)(x+2)= \(x^{3}\) + 8\(x^{2}\) + 12x. Simplify this equation and we will get x(x+6)(x+2) for the formula to find the volume of the 3D figure.

Area:

To find the area of a 2D figure, we must multiply length x height. Therefore, we multiply the equations (x+6)(x+2)= \(x^{2} + 2x + 6x +12\) to get a final answer of \(x^{2} +8x +12\).  This will be the formula when you find the area of the 2D figure in question.

Answer:

The \(66\)th term is \(363\).

Step-by-step explanation:

To find the \(n\)th term, the formula is \(7n - 99\). Since we want to find the \(66\)th term, we can plug \(n\) for \(66\). So our expression is now \(7 \cdot 66 - 99 =\) \(66\)th term. Solving this we have

\(462 - 99 = 66\text{th term}\\363 = 66\text{th term}\\\). Therefore, the \(66\)th term is \(\boxed{363}\).

Answer:

a₆₆ = 363

Step-by-step explanation:

the nth term of an arithmetic sequence is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = - 92 and d = a₂ - a₁ = - 85 - (- 92) = - 85 + 92 = 7 , then

a₆₆ = - 92 + (65 × 7)

      = - 92 + 455

     = 363

Answer:

16x-6

Step-by-step explanation:

well in order to do so

u have to multiply 2 to 8x to get 16x

and then, multiply the 2 to -3 to get -6

this is the distributive property form. and that's how u get ur answer

Haleema would have approximately £3947.46 in her account after 2 years and 11 months, considering the monthly compounding interest of 5%.

To calculate the amount of money in Haleema's account after 2 years and 11 months, we need to consider the monthly compounding interest on the account.

The interest rate is given as 5% per year, which means the monthly interest rate is (5%/12) = 0.4167%.

Let's calculate the final amount using the compound interest formula: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years.

In this case, P = £3700, r = 0.004167, n = 12 (monthly compounding), and t = 2.917 (2 years and 11 months).

Plugging these values into the formula, we get:

A = £3700(1 + 0.004167/12)^(12*2.917)

A ≈ £3947.46

The amount of money in Haleema's account after 2 years and 11 months would be approximately £3947.46.

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The dairy farmer should use 400 pounds of the 75% protein supplement and 800 pounds of the 30% protein ration to make 1200 pounds of a high-grade 45% protein ration.

To determine how many pounds of each protein supplement the dairy farmer should use, we can set up a system of equations based on the given information.

Let's denote the following:

x = pounds of the 75% protein supplement

y = pounds of the 30% protein ration

The total weight of the mixture is 1200 pounds, so we have the equation:

x + y = 1200

The protein content in the mixture should be 45% of the total weight, so we have the equation:

0.75x + 0.30y = 0.45 * 1200

Now we can solve this system of equations.

First, let's rewrite the second equation in decimal form:

0.75x + 0.30y = 540

To make it easier to work with, we can eliminate the decimals by multiplying both sides of the equation by 100:

75x + 30y = 54000

Now we have a system of equations:

x + y = 1200

75x + 30y = 54000

We can solve this system using any appropriate method, such as substitution or elimination. In this case, let's use the substitution method:

Solve the first equation for x:

x = 1200 - y

Substitute the value of x into the second equation:

75(1200 - y) + 30y = 54000

Simplify and solve for y:

90000 - 75y + 30y = 54000

-45y = -36000

y = 800

Now we can substitute the value of y back into the first equation to find x:

x + 800 = 1200

x = 1200 - 800

x = 400

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